Patent Publication Number: US-11644641-B2

Title: Optical imaging system

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation of U.S. patent application Ser. No. 16/424,842 filed on May 29, 2019, which claims the benefit under 35 USC 119(a) of Korean Patent Application Nos. 10-2018-0061397 filed on May 29, 2018, and 10-2018-0106184 filed on Sep. 5, 2018, in the Korean Intellectual Property Office, the entire disclosures of which are incorporated herein by reference for all purposes. 
    
    
     BACKGROUND 
     1. Field 
     This application relates to an optical imaging system including seven lenses. 
     2. Description of Related Art 
     A mobile terminal is commonly provided with a camera for video communications or capturing images. However, it is difficult to achieve high performance in a camera for a mobile terminal due to space limitations inside the mobile terminal. 
     Accordingly, a demand for an optical imaging system capable of improving the performance of the camera without increasing a size of the camera has increased as a number of mobile terminals provided with a camera has increased. 
     SUMMARY 
     This Summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description. This Summary is not intended to identify key features or essential features of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject matter. 
     In one general aspect, an optical imaging system includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, and a seventh lens sequentially disposed in numerical order along an optical axis of the optical imaging system from an object side of the optical imaging system toward an imaging plane of the optical imaging system, wherein the optical imaging system satisfies 0.5&lt;L12345TRavg/L7TR&lt;0.9, where L12345TRavg is an average value of overall outer diameters of the first to fifth lenses, L7TR is an overall outer diameter of the seventh lens, and L12345TRavg and L7TR are expressed in a same unit of measurement. 
     An object-side surface of the first lens may be convex. 
     An image-side surface of the first lens may be concave. 
     An image-side surface of the seventh lens may be concave. 
     A distance along the optical axis from an object-side surface of the first lens to the imaging plane may be 6.0 mm or less. 
     At least one inflection point may be formed on either one or both of an object-side surface and an image-side surface of the sixth lens. 
     At least one inflection point may be formed on either one or both of an object-side surface and an image-side surface of the seventh lens. 
     The optical imaging system further may satisfy 0.1&lt;L1w/L7w&lt;0.3, where L1w is a weight of the first lens, L7w is a weight of the seventh lens, and L1w and L7w are expressed in a same unit of measurement. 
     The optical imaging system may further include a spacer disposed between the sixth and seventh lenses, wherein the optical imaging system further may satisfy 0.5&lt;S6d/f&lt;1.2, where S6d is an inner diameter of the spacer, f is an overall focal length of the optical imaging system, and S6d and f are expressed in a same unit of measurement. 
     The optical imaging system further may satisfy 0.4&lt;L1TR/L7TR&lt;0.7, where L1TR is an overall outer diameter of the first lens, and L1TR and L7TR are expressed in a same unit of measurement. 
     The optical imaging system further may satisfy 0.5&lt;L1234TRavg/L7TR&lt;0.75, where L1234TRavg is an average value of overall outer diameters of the first to fourth lenses, and L1234TRavg and L7TR are expressed in a same unit of measurement. 
     The optical imaging system further may satisfy 0.5&lt;L12345TRavg/L7TR&lt;0.76. 
     The second lens may have a positive refractive power. 
     The third lens may have a positive refractive power. 
     The fifth lens may have a negative refractive power. 
     A paraxial region of an object-side surface of the fifth lens may be concave or convex. 
     A paraxial region of an image-side surface of the fifth lens may be concave or convex. 
     A paraxial region of an object-side surface of the sixth lens may be concave or convex. 
     A paraxial region of an image-side surface of the sixth lens may be concave or convex. 
     A paraxial region of an object-side surface of the seventh lens may be concave. 
     Other features and aspects will be apparent from the following detailed description, the drawings, and the claims. 
    
    
     
       BRIEF DESCRIPTION OF DRAWINGS 
         FIG.  1    is a view illustrating a first example of an optical imaging system. 
         FIG.  2    illustrates aberration curves of the optical imaging system of  FIG.  1   . 
         FIG.  3    is a view illustrating a second example of an optical imaging system. 
         FIG.  4    illustrates aberration curves of the optical imaging system of  FIG.  3   . 
         FIG.  5    is a view illustrating a third example of an optical imaging system. 
         FIG.  6    illustrates aberration curves of the optical imaging system of  FIG.  5   . 
         FIG.  7    is a view illustrating a fourth example of an optical imaging system. 
         FIG.  8    illustrates aberration curves of the optical imaging system of  FIG.  7   . 
         FIG.  9    is a view illustrating a fifth example of an optical imaging system. 
         FIG.  10    illustrates aberration curves of the optical imaging system of  FIG.  9   . 
         FIG.  11    is a view illustrating a sixth example of an optical imaging system. 
         FIG.  12    illustrates aberration curves of the optical imaging system of  FIG.  11   . 
         FIG.  13    is a view illustrating a seventh example of an optical imaging system. 
         FIG.  14    illustrates aberration curves of the optical imaging system of  FIG.  13   . 
         FIG.  15    is a view illustrating an eighth example of an optical imaging system. 
         FIG.  16    illustrates aberration curves of the optical imaging system of  FIG.  15   . 
         FIG.  17    is a view illustrating a ninth example of an optical imaging system. 
         FIG.  18    illustrates aberration curves of the optical imaging system of  FIG.  17   . 
         FIG.  19    is a view illustrating a tenth example of an optical imaging system. 
         FIG.  20    illustrates aberration curves of the optical imaging system of  FIG.  19   . 
         FIG.  21    is a view illustrating an eleventh example of an optical imaging system. 
         FIG.  22    illustrates aberration curves of the optical imaging system of  FIG.  21   . 
         FIG.  23    is a view illustrating a twelfth example of an optical imaging system. 
         FIG.  24    illustrates aberration curves of the optical imaging system of  FIG.  23   . 
         FIG.  25    is a view illustrating a thirteenth example of an optical imaging system. 
         FIG.  26    illustrates aberration curves of the optical imaging system of  FIG.  25   . 
         FIG.  27    is a view illustrating a fourteenth example of an optical imaging system. 
         FIG.  28    illustrates aberration curves of the optical imaging system of  FIG.  27   . 
         FIG.  29    is a view illustrating a fifteenth example of an optical imaging system. 
         FIG.  30    illustrates aberration curves of the optical imaging system of  FIG.  29   . 
         FIG.  31    is a view illustrating a sixteenth example of an optical imaging system. 
         FIG.  32    illustrates aberration curves of the optical imaging system of  FIG.  31   . 
         FIG.  33    is a view illustrating a seventeenth example of an optical imaging system. 
         FIG.  34    illustrates aberration curves of the optical imaging system of  FIG.  33   . 
         FIG.  35    is a view illustrating an eighteenth example of an optical imaging system. 
         FIG.  36    illustrates aberration curves of the optical imaging system of  FIG.  35   . 
         FIG.  37    is a view illustrating a nineteenth example of an optical imaging system. 
         FIG.  38    illustrates aberration curves of the optical imaging system of  FIG.  37   . 
         FIG.  39    is a view illustrating a twentieth example of an optical imaging system. 
         FIG.  40    illustrates aberration curves of the optical imaging system of  FIG.  39   . 
         FIG.  41    is a view illustrating a twenty-first example of an optical imaging system. 
         FIG.  42    illustrates aberration curves of the optical imaging system of  FIG.  41   . 
         FIG.  43    is a view illustrating a twenty-second example of an optical imaging system. 
         FIG.  44    illustrates aberration curves of the optical imaging system of  FIG.  43   . 
         FIG.  45    is a view illustrating a twenty-third example of an optical imaging system. 
         FIG.  46    illustrates aberration curves of the optical imaging system of  FIG.  45   . 
         FIG.  47    is a view illustrating a twenty-fourth example of an optical imaging system. 
         FIG.  48    illustrates aberration curves of the optical imaging system of  FIG.  47   . 
         FIG.  49    is a view illustrating a twenty-fifth example of an optical imaging system. 
         FIG.  50    illustrates aberration curves of the optical imaging system of  FIG.  49   . 
         FIG.  51    is a view illustrating a twenty-sixth example of an optical imaging system. 
         FIG.  52    illustrates aberration curves of the optical imaging system of  FIG.  51   . 
         FIG.  53    is a view illustrating a twenty-seventh example of an optical imaging system. 
         FIG.  54    illustrates aberration curves of the optical imaging system of  FIG.  53   . 
         FIG.  55    is a view illustrating a twenty-eighth example of an optical imaging system. 
         FIG.  56    illustrates aberration curves of the optical imaging system of  FIG.  55   . 
         FIG.  57    is a view illustrating a twenty-ninth example of an optical imaging system. 
         FIG.  58    illustrates aberration curves of the optical imaging system of  FIG.  57   . 
         FIGS.  59  and  60    are cross-sectional views illustrating examples of an optical imaging system and a lens barrel coupled to each other. 
         FIG.  61    is cross-sectional view illustrating an example of a seventh lens. 
         FIG.  62    is a cross-sectional view illustrating an example of a shape of a rib of a lens. 
     
    
    
     Throughout the drawings and the detailed description, the same reference numerals refer to the same elements. The drawings may not be to scale, and the relative size, proportions, and depiction of elements in the drawings may be exaggerated for clarity, illustration, and convenience. 
     DETAILED DESCRIPTION 
     The following detailed description is provided to assist the reader in gaining a comprehensive understanding of the methods, apparatuses, and/or systems described herein. However, various changes, modifications, and equivalents of the methods, apparatuses, and/or systems described herein will be apparent after an understanding of the disclosure of this application. For example, the sequences of operations described herein are merely examples, and are not limited to those set forth herein, but may be changed as will be apparent after an understanding of the disclosure of this application, with the exception of operations necessarily occurring in a certain order. Also, descriptions of features that are known in the art may be omitted for increased clarity and conciseness. 
     The features described herein may be embodied in different forms, and are not to be construed as being limited to the examples described herein. Rather, the examples described herein have been provided merely to illustrate some of the many possible ways of implementing the methods, apparatuses, and/or systems described herein that will be apparent after an understanding of the disclosure of this application. 
     Throughout the specification, when an element, such as a layer, region, or substrate, is described as being “on,” “connected to,” or “coupled to” another element, it may be directly “on,” “connected to,” or “coupled to” the other element, or there may be one or more other elements intervening therebetween. In contrast, when an element is described as being “directly on,” “directly connected to,” or “directly coupled to” another element, there can be no other elements intervening therebetween. 
     As used herein, the term “and/or” includes any one and any combination of any two or more of the associated listed items. 
     Although terms such as “first,” “second,” and “third” may be used herein to describe various members, components, regions, layers, or sections, these members, components, regions, layers, or sections are not to be limited by these terms. Rather, these terms are only used to distinguish one member, component, region, layer, or section from another member, component, region, layer, or section. Thus, a first member, component, region, layer, or section referred to in examples described herein may also be referred to as a second member, component, region, layer, or section without departing from the teachings of the examples. 
     Spatially relative terms such as “above,” “upper,” “below,” and “lower” may be used herein for ease of description to describe one element&#39;s relationship to another element as shown in the figures. Such spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, an element described as being “above” or “upper” relative to another element will then be “below” or “lower” relative to the other element. Thus, the term “above” encompasses both the above and below orientations depending on the spatial orientation of the device. The device may also be oriented in other ways (for example, rotated by 90 degrees or at other orientations), and the spatially relative terms used herein are to be interpreted accordingly. 
     The terminology used herein is for describing various examples only, and is not to be used to limit the disclosure. The articles “a,” “an,” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. The terms “comprises,” “includes,” and “has” specify the presence of stated features, numbers, operations, members, elements, and/or combinations thereof, but do not preclude the presence or addition of one or more other features, numbers, operations, members, elements, and/or combinations thereof. 
     Thicknesses, sizes, and shapes of lenses illustrated in the drawings may have been slightly exaggerated for convenience of explanation. In addition, the shapes of spherical surfaces or aspherical surfaces of the lenses described in the detailed description and illustrated in the drawings are merely examples. That is, the shapes of the spherical surfaces or the aspherical surfaces of the lenses are not limited to the examples described herein. 
     Numerical values of radii of curvature, thicknesses of lenses, distances between elements including lenses or surfaces, effective aperture radii of lenses, focal lengths, and diameters, thicknesses, and lengths of various elements are expressed in millimeters (mm), and angles are expressed in degrees. Thicknesses of lenses and distances between elements including lenses or surfaces are measured along the optical axis of the optical imaging system. 
     The term “effective aperture radius” as used in this application refers to a radius of a portion of a surface of a lens or other element (an object-side surface or an image-side surface of a lens or other element) through which light actually passes. The effective aperture radius is equal to a distance measured perpendicular to an optical axis of the surface between the optical axis of the surface and the outermost point on the surface through which light actually passes. Therefore, the effective aperture radius may be equal to a radius of an optical portion of a surface, or may be smaller than the radius of the optical portion of the surface if light does not pass through a peripheral portion of the optical portion of the surface. The object-side surface and the image-side surface of a lens or other element may have different effective aperture radii. 
     In this application, unless stated otherwise, a reference to the shape of a lens surface means the shape of a paraxial region of the lens surface. A paraxial region of a lens surface is a central portion of the lens surface surrounding the optical axis of the lens surface in which light rays incident to the lens surface make a small angle θ to the optical axis and the approximations sin θ≈θ, tan θ≈θ, and cos θ≈1 are valid. 
     For example, a statement that the object-side surface of a lens is convex means that at least a paraxial region of the object-side surface of the lens is convex, and a statement that the image-side surface of the lens is concave means that at least a paraxial region of the image-side surface of the lens is concave. Therefore, even though the object side-surface of the lens may be described as being convex, the entire object-side surface of the lens may not be convex, and a peripheral region of the object-side surface of the lens may be concave. Also, even though the image-side surface of the lens may be described as being concave, the entire image-side surface of the lens may not be concave, and a peripheral region of the image-side surface of the lens may be convex. 
     An optical imaging system includes a plurality of lenses. For example, the optical imaging system includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, and a seventh lens sequentially disposed in numerical order along an optical axis of the optical imaging system from an object side of the optical imaging system toward an imaging plane of the optical imaging system. Thus, the first lens is a lens closest to an object (or a subject) to be imaged by the optical imaging system, while the seventh lens is a lens closest to the imaging plane. 
     Each lens of the optical imaging system includes an optical portion and a rib. The optical portion of the lens is a portion of the lens that is configured to refract light, and is generally formed in a central portion of the lens. The rib of the lens is an edge portion of the lens that enables the lens to be mounted in a lens barrel and the optical axis of the lens to be aligned with the optical axis of the optical imaging system. The rib of the lens extends radially outward from the optical portion. The optical portions of the lenses are generally not in contact with each other. For example, the first to seventh lenses are mounted in the lens barrel so that they are spaced apart from one another by predetermined distances along the optical axis of the optical imaging system. The ribs of the lenses may be in selective contact with each other. For example, the ribs of the first to fourth lenses, or the first to fifth lenses, or the second to fourth lenses, may be in contact with each other so that the optical axes of these lenses may be easily aligned with the optical axis of the optical imaging system. 
     Next, a configuration of the optical imaging system will be described. 
     The optical imaging system includes a plurality of lenses. For example, the optical imaging system includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, and a seventh lens sequentially disposed in numerical order along an optical axis of the optical imaging system from an object side of the optical imaging system toward an imaging plane of the optical imaging system. 
     The optical imaging system further includes an image sensor and a filter. The image sensor forms an imaging plane, and converts light refracted by the first to seventh lenses into an electric signal. The filter is disposed between the seventh lens and the imaging plane, and blocks infrared rays in the light refracted by the first to seventh lenses from being incident on the imaging plane. 
     The optical imaging system further includes a stop and spacers. The stop is disposed in front of the first lens, or at a position of either an object-side surface or an image side-surface of one of the first to seventh lenses, or between two adjacent lenses of the first to seventh lenses, or between the object-side surface and the image-side surface of one of the first to seventh lenses, to adjust the amount of light incident on the imaging plane. Some examples may include two stops, one of which may be disposed in front of the first lens, or at the position of the object-side surface of the first lens, or between the object-side surface and the image-side surface of the first lens. Each of the spacers is disposed at a respective position between two lenses of the first to seventh lenses to maintain a predetermined distance between the two lenses. In addition, the spacers may be made of a light-shielding material to block extraneous light penetrating into the ribs of the lenses. There may be six or seven spacers. For example, a first spacer is disposed between the first lens and the second lens, a second spacer is disposed between the second lens and the third lens, a third spacer is disposed between the third lens and the fourth lens, a fourth spacer is disposed between the fourth lens and the fifth lens, a fifth spacer is disposed between the fifth lens and the sixth lens, and a sixth spacer is disposed between the sixth lens and the seventh lens. In addition, the optical imaging system may further include a seventh spacer disposed between the sixth lens and the sixth spacer. 
     Next, the lenses of the optical imaging system will be described. 
     The first lens has a refractive power. For example, the first lens has a positive refractive power or a negative refractive power. One surface of the first lens may be convex. For example, an object-side surface of the first lens may be convex. One surface of the first lens may be concave. For example, an image-side surface of the first lens may be concave. The first lens may have an aspherical surface. For example, one surface or both surfaces of the first lens may be aspherical. 
     The second lens has a refractive power. For example, the second lens has a positive refractive power or a negative refractive power. At least one surface of the second lens may be convex. For example, an object-side surface of the second lens may be convex, or both the object-side surface and an image-side surface of the second lens may be convex. One surface of the second lens may be concave. For example, the image-side surface of the second lens may be concave. The second lens may have an aspherical surface. For example, one surface or both surfaces of the second lens may be aspherical. 
     The third lens has a refractive power. For example, the third lens has a positive refractive power or a negative refractive power. One surface of the third lens may be convex. For example, an object-side surface or an image-side surface of the third lens may be convex. One surface of the third lens may be concave. For example, the object-side surface or the image-side surface of the third lens may be concave. The third lens may have an aspherical surface. For example, one surface or both surfaces of the third lens may be aspherical. 
     The fourth lens has a refractive power. For example, the fourth lens has a positive refractive power or a negative refractive power. At least one surface of the fourth lens may be convex. For example, an object-side surface or an image-side surface of the fourth lens may be convex, or both the object-side surface and the image-side surface of the fourth lens may be convex. One surface of the fourth lens may be concave. For example, the object-side surface or the image-side surface of the fourth lens may be concave. The fourth lens may have an aspherical surface. For example, one surface or both surfaces of the fourth lens may be aspherical. 
     The fifth lens has a refractive power. For example, the fifth lens has a positive refractive power or a negative refractive power. One surface of the fifth lens may be convex. For example, an object-side surface or an image-side surface of the fifth lens may be convex. At least one surface of the fifth lens may be concave. For example, the object-side surface or the image-side surface of the fifth lens may be concave, or both the object-side surface and the image-side surface of the fifth lens may be concave. The fifth lens may have an aspherical surface. For example, one surface or both surfaces of the fifth lens may be aspherical. 
     The sixth lens has a refractive power. For example, the sixth lens has a positive refractive power or a negative refractive power. At least one surface of the sixth lens may be convex. For example, an object-side surface or an image-side surface of the sixth lens may be convex, or both the object-side surface and the image-side surface of the sixth lens may be convex. At least one surface of the sixth lens may be concave. For example, the object-side surface or the image-side surface of the sixth lens may be concave, or both the object-side surface and the image-side surface of the sixth lens may be concave. At least one surface of the sixth lens may have at least one inflection point. An inflection point is a point where a lens surface changes from convex to concave, or from concave to convex. A number of inflection points is counted from a center of the lens to an outer edge of the optical portion of the lens. For example, at least one inflection point may be formed on either one or both of the object-side surface and the image-side surface of the sixth lens. Therefore, at least one surface of the sixth lens may have a paraxial region and a peripheral region having shapes that are different from each other. For example, a paraxial region of the object-side surface of the sixth lens may be concave, but a peripheral region thereof may be convex. The sixth lens may have an aspherical surface. For example, one surface or both surfaces of the sixth lens may be aspherical. 
     The seventh lens has a refractive power. For example, the seventh lens has a positive refractive power or a negative refractive power. One surface of the seventh lens may be convex. For example, an object-side surface of the seventh lens may be convex. At least one surface of the seventh lens may be concave. For example, an image-side surface of the seventh lens may be concave, or both the object-side surface and the image-side surface of the seventh lens may be concave. At least one surface of the seventh lens may have at least one inflection point. For example, at least one inflection point may be formed on either one or both of the object-side surface and the image-side surface of the seventh lens. Therefore, at least one surface of the seventh lens may have a paraxial region and a peripheral region having shapes that different from each other. For example, a paraxial region of the object-side surface of the seventh lens may be concave, but a peripheral region thereof may be convex. The seventh lens may have an aspherical surface. For example, one surface or both surfaces of the seventh lens may be aspherical. 
     The lenses of the optical imaging system may be made of a light material having a high light transmittance. For example, the first to seventh lenses may be made of a plastic material. However, a material of the first to seventh lenses is not limited to the plastic material. 
     The aspherical surfaces of the first to seventh lenses may be represented by the following Equation 1: 
     
       
         
           
             
               
                 
                   Z 
                   = 
                   
                     
                       
                         cY 
                         2 
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               
                                 ( 
                                 
                                   1 
                                   + 
                                   K 
                                 
                                 ) 
                               
                               ⁢ 
                               
                                 c 
                                 2 
                               
                               ⁢ 
                               
                                 Y 
                                 2 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       AY 
                       4 
                     
                     + 
                     
                       BY 
                       6 
                     
                     + 
                     
                       CY 
                       8 
                     
                     + 
                     
                       DY 
                       10 
                     
                     + 
                     
                       EY 
                       12 
                     
                     + 
                     
                       FY 
                       14 
                     
                     + 
                     
                       GY 
                       16 
                     
                     + 
                     
                       HY 
                       18 
                     
                     + 
                     … 
                   
                 
               
               
                 
                   ( 
                   1 
                   ) 
                 
               
             
           
         
       
     
     In Equation 1, c is a curvature of a lens surface and is equal to an inverse of a radius of curvature of the lens surface at an optical axis of the lens surface, K is a conic constant, Y is a distance from a certain point on an aspherical surface of the lens to an optical axis of the lens in a direction perpendicular to the optical axis, A to H are aspherical constants, and Z (or sag) is a distance between the certain point on the aspherical surface of the lens at the distance Y to the optical axis and a tangential plane perpendicular to the optical axis meeting the apex of the aspherical surface of the lens. Some of the examples disclosed in this application include an aspherical constant J. An additional term of JY 20  may be added to the right side of Equation 1 to reflect the effect of the aspherical constant J. 
     The optical imaging system may satisfy one or more of the following Conditional Expressions 1 to 5:
 
0.1&lt; L 1 w/L 7 w&lt; 0.4  (Conditional Expression 1)
 
0.5&lt; S 6 d/f&lt; 1.4  (Conditional Expression 2)
 
0.4&lt; L 1 TR/L 7 TR&lt; 0.8  (Conditional Expression 3)
 
0.5&lt; L 1234 TR avg/ L 7 TR&lt; 0.9  (Conditional Expression 4)
 
0.5&lt; L 12345 TR avg/ L 7 TR&lt; 0.9  (Conditional Expression 5)
 
     In the above Conditional Expressions, L1w is a weight of the first lens, and L7w is a weight of the seventh lens. 
     S6d is an inner diameter of the sixth spacer, and f is an overall focal length of the optical imaging system. 
     L1TR is an overall outer diameter of the first lens, and L7TR is an overall outer diameter of the seventh lens. The overall outer diameter of a lens is a diameter of the lens including both the optical portion of the lens and the rib of the lens. 
     L1234TRavg is an average value of overall outer diameters of the first to fourth lenses, and L12345TRavg is an average value of overall outer diameters of the first to fifth lenses. 
     Conditional Expressions 1 and 3 specify ranges of a weight ratio and an overall outer diameter ratio between the first lens and the seventh lens to facilitate a self-alignment between the lenses and an alignment by the lens barrel. 
     Conditional Expression 2 specifies a range of a ratio of the inner diameter of the sixth spacer to the overall focal length of the optical imaging system to minimize a flare phenomenon. 
     Conditional Expressions 4 and 5 specify overall outer diameter ratios between the lenses to facilitate aberration correction. 
     The optical imaging system may also satisfy one or more of the following Conditional Expressions 6 to 10:
 
0.1&lt; L 1 w/L 7 w&lt; 0.3  (Conditional Expression 6)
 
0.5&lt; S 6 d/f&lt; 1.2  (Conditional Expression 7)
 
0.4&lt; L 1 TR/L 7 TR&lt; 0.7  (Conditional Expression 8)
 
0.5&lt; L 1234 TR avg/ L 7 TR&lt; 0.75  (Conditional Expression 9)
 
0.5&lt; L 12345 TR avg/ L 7 TR&lt; 0.76  (Conditional Expression 10)
 
     Conditional Expressions 6 to 10 are the same as Conditional Expressions 1 to 5, except that Conditional Expressions 6 to 10 specify narrower ranges. 
     The optical imaging system may also satisfy one or more of the following Conditional Expressions 11 to 31:
 
0.01&lt; R 1/ R 4&lt;1.3  (Conditional Expression 11)
 
0.1&lt; R 1/ R 5&lt;0.7  (Conditional Expression 12)
 
0.05&lt; R 1/ R 6&lt;0.9  (Conditional Expression 13)
 
0.2&lt; R 1/ R 11&lt;1.2  (Conditional Expression 14)
 
0.8&lt; R 1/ R 14&lt;1.2  (Conditional Expression 15)
 
0.6&lt;( R 11+ R 14)/(2* R 1)&lt;3.0  (Conditional Expression 16)
 
0.4&lt; D 13/ D 57&lt;1.2  (Conditional Expression 17)
 
0.1&lt;(1/ f 1+1/ f 2+1/ f 3+1/ f 4+1/ f 5+1/ f 6+1/ f 7)* f&lt; 0.8  (Conditional Expression 18)
 
0.1&lt;(1/ f 1+1/ f 2+1/ f 3+1/ f 4+1/ f 5+1/ f 6+1/ f 7)* TTL&lt; 1.0   (Conditional Expression 19)
 
0.2&lt; TD 1/ D 67&lt;0.8  Conditional Expression 20)
 
0.1&lt;( R 11+ R 14)/( R 5+ R 6)&lt;1.0  (Conditional Expression 21)
 
 SD 12&lt; SD 34  (Conditional Expression 22)
 
 SD 56&lt; SD 67  (Conditional Expression 23)
 
 SD 56&lt; SD 34  (Conditional Expression 24)
 
0.6&lt; TTL /(2*( IMG HT ))&lt;0.9  (Conditional Expression 25)
 
0.2&lt;Σ SD/ΣT&lt; 0.7  (Conditional Expression 26)
 
0&lt;min( f 1: f 3)/max( f 4: f 7)&lt;0.4  (Conditional Expression 27)
 
0.4&lt;(Σ TD )/ TTL&lt; 0.7  (Conditional Expression 28)
 
0.7&lt; SL/TTL&lt; 1.0  (Conditional Expression 29)
 
0.81&lt; f 12/ f 123&lt;0.96  (Conditional Expression 30)
 
0.6&lt; f 12/ f 1234&lt;0.84  (Conditional Expression 31)
 
     In the above Conditional Expressions, R1 is a radius of curvature of an object-side surface of the first lens, R4 is a radius of curvature of an image-side surface of the second lens, R5 is a radius of curvature of an object-side surface of the third lens, R6 is a radius of curvature of an image-side surface of the third lens, R11 is a radius of curvature of an object-side surface of the sixth lens, and R14 is a radius of curvature of an image-side surface of the seventh lens. 
     D13 is a distance along an optical axis of the optical imaging system from the object-side surface of the first lens to the image-side surface of the third lens, and D57 is a distance along the optical axis from an object-side surface of the fifth lens to the image-side surface of the seventh lens. 
     f1 is a focal length of the first lens, f2 is a focal length of the second lens, f3 is a focal length of the third lens, f4 is a focal length of the fourth lens, f5 is a focal length of the fifth lens, f6 is a focal length of the sixth lens, f7 is a focal length of the seventh lens, f is an overall focal length of the optical imaging system, and TTL is a distance along the optical axis from the object-side surface of the first lens to an imaging plane of an image sensor of the optical imaging system. 
     TD1 is a thickness along the optical axis of the first lens, and D67 is a distance along the optical axis from the object-side surface of the sixth lens to the image-side surface of the seventh lens. 
     SD12 is a distance along the optical axis from an image-side surface of the first lens to an object-side surface of the second lens, SD34 is a distance along the optical axis from the image-side surface of the third lens to an object-side surface of the fourth lens, SD56 is a distance along the optical axis from an image-side surface of the fifth lens to the object-side surface of the sixth lens, and SD67 is a distance along the optical axis from an image-side surface of the sixth lens to an object-side surface of the seventh lens. 
     IMG HT is one-half of a diagonal length of the imaging plane of the image sensor. 
     ΣSD is a sum of air gaps along the optical axis between the lenses, and ΣTD is a sum of thicknesses along the optical axis of the lenses. An air gap is a distance along the optical axis between adjacent lenses. 
     min(f1:f3) is a minimum value of absolute values of the focal lengths of the first to third lenses, and max(f4:f7) is a maximum value of absolute values of the focal lengths of the fourth to seventh lenses. 
     SL is a distance along the optical axis from the stop to the imaging plane of the image sensor. 
     f12 is a composite focal length of the first and second lenses, f123 is a composite focal length of the first to third lenses, and f1234 is a composite focal length of the first to fourth lenses. 
     Conditional Expression 11 specifies a design range of the second lens for minimizing aberration caused by the first lens. For example, it is difficult to expect a sufficient correction of longitudinal spherical aberration for the second lens having a radius of curvature that exceeds the upper limit value of Conditional Expression 11, and it is difficult to expect a sufficient correction of astigmatic field curves for the second lens having a radius of curvature that is below the lower limit value of Conditional Expression 11. 
     Conditional Expressions 12 and 13 specify a design range of the third lens for minimizing aberration caused by the first lens. For example, it is difficult to expect a sufficient correction of longitudinal spherical aberration for the third lens having a radius of curvature that exceeds the upper limit value of Conditional Expression 12 or 13, and it is difficult to expect a sufficient correction of astigmatic field curves for the third lens having a radius of curvature that is below the lower limit value of Conditional Expression 12 or 13. 
     Conditional Expression 14 specifies a design range of the sixth lens for minimizing aberration caused by the first lens. For example, it is difficult to expect a sufficient correction of longitudinal spherical aberration for the sixth lens having a radius of curvature that exceeds the upper limit value of Conditional Expression 14, and the sixth lens having a radius of curvature that is below the lower limit value of Conditional Expression 14 is apt to cause a flare phenomenon. 
     Conditional Expression 15 specifies a design range of the seventh lens for minimizing the aberration caused by the first lens. For example, it is difficult to expect a sufficient correction of longitudinal spherical aberration for the seventh lens having a radius of curvature that exceeds the upper limit value of Conditional Expression 15, and the seventh lens having a radius of curvature that is below the lower limit value of Conditional Expression 15 is apt to cause an imaging plane curvature. 
     Conditional Expression 16 specifies a ratio of a sum of radii of curvature of the sixth lens and the seventh lens to twice a radius of curvature of the first lens for correcting the longitudinal spherical aberration and achieving excellent optical performance. 
     Conditional Expression 17 specifies a ratio of the optical imaging system mountable in a compact terminal. For example, an optical imaging system having a ratio that exceeds the upper limit value of Conditional Expression 17 may cause a problem that the total length of the optical imaging system becomes long, and an optical imaging system having a ratio that is below the lower limit value of Conditional Expression 17 may cause a problem that a lateral cross-section of the optical imaging system becomes large. 
     Conditional Expressions 18 and 19 specify a refractive power ratio of the first to seventh lenses for facilitating mass production of the optical imaging system. For example, an optical imaging system having a refractive power ratio that exceeds the upper limit value of Conditional Expression 18 or 19 or is below the lower limit value of Conditional Expression 18 or 19 is difficult to commercialize because the refractive power of one or more of the first to seventh lenses is too great. 
     Conditional Expression 20 specifies a thickness range of the first lens for implementing a compact optical imaging system. For example, the first lens having a thickness that exceeds the upper value of Conditional Expression 20 or is below the lower limit value of Conditional Expression 20 is too thick or too thin to be manufactured. 
     Conditional Expression 22 specifies a design condition of the first to fourth lenses for improving chromatic aberration. For example, a case in which a distance between the first lens and the second lens is shorter than a distance between the third lens and the fourth lens is advantageous for improving the chromatic aberration. 
     Conditional Expressions 25 to 28 specify design conditions for implementing a compact optical imaging system. For example, lenses that deviate from the numerical range of Conditional Expression 26 or 28 are difficult to form by injection molding and process. 
     Conditional Expressions 29 to 31 specify design conditions of the optical imaging system in consideration of a position of the stop. For example, an optical imaging system that does not satisfy one or more of Conditional Expressions 29 to 31 may have a longer overall length due to the refractive power of the lenses disposed behind the stop. 
     Next, various examples of the optical imaging system will be described. In the tables that appear in the following examples, S1 denotes an object-side surface of the first lens, S2 denotes an image-side surface of the first lens, S3 denotes an object-side surface of the second lens, S4 denotes an image-side surface of the second lens, S5 denotes an object-side surface of the third lens, S6 denotes an image-side surface of the third lens, S7 denotes an object-side surface of the fourth lens, S8 denotes an image-side surface of the fourth lens, S9 denotes an object-side surface of the fifth lens, S10 denotes an image-side surface of the fifth lens, S11 denotes an object-side surface of the sixth lens, S12 denotes an image-side surface of the sixth lens, S13 denotes an object-side surface of the seventh lens, S14 denotes an image-side surface of the seventh lens, S15 denotes an object-side surface of the filter, S16 denotes an image-side surface of the filter, and S17 denotes the imaging plane. 
     First Example 
       FIG.  1    is a view illustrating a first example of an optical imaging system, and  FIG.  2    illustrates aberration curves of the optical imaging system of  FIG.  1   . 
     An optical imaging system  1  includes a first lens  1001 , a second lens  2001 , a third lens  3001 , a fourth lens  4001 , a fifth lens  5001 , a sixth lens  6001 , and a seventh lens  7001 . 
     The first lens  1001  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2001  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3001  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4001  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fifth lens  5001  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6001  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6001 . The seventh lens  7001  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7001 , and one inflection point is formed on the image-side surface of the seventh lens  7001 . 
     The optical imaging system  1  further includes a stop, a filter  8001 , and an image sensor  9001 . The stop is disposed between the second lens  2001  and the third lens  3001  to adjust an amount of light incident on the image sensor  9001 . The filter  8001  is disposed between the seventh lens  7001  and the image sensor  9001  to block infrared rays. The image sensor  9001  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  1   , the stop is disposed at a distance of 0.671 mm from the object-side surface of the first lens  1001  toward the imaging plane of the optical imaging system  1 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 1 listed in Table 59 that appears later in this application. 
     Table 1 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  1   , and Table 2 below shows aspherical surface coefficients of the lenses of  FIG.  1   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 1 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.3225 
                 0.5006 
                 1.546 
                 56.114 
                 0.920 
               
               
                 S2 
                 Lens 
                 4.3551 
                 0.0200 
                   
                   
                 0.881 
               
               
                 S3 
                 Second 
                 3.5653 
                 0.1500 
                 1.668 
                 20.353 
                 0.850 
               
               
                 S4 (Stop) 
                 Lens 
                 2.1771 
                 0.1624 
                   
                   
                 0.780 
               
               
                 S5 
                 Third 
                 3.1365 
                 0.2284 
                 1.547 
                 56.114 
                 0.775 
               
               
                 S6 
                 Lens 
                 5.3019 
                 0.2563 
                   
                   
                 0.805 
               
               
                 S7 
                 Fourth 
                 −13.3504 
                 0.2620 
                 1.547 
                 56.114 
                 0.852 
               
               
                 S8 
                 Lens 
                 −10.1423 
                 0.2108 
                   
                   
                 0.996 
               
               
                 S9 
                 Fifth 
                 −3.9034 
                 0.2300 
                 1.657 
                 21.494 
                 1.066 
               
               
                 S10 
                 Lens 
                 −7.2623 
                 0.1660 
                   
                   
                 1.350 
               
               
                 S11 
                 Sixth 
                 3.0156 
                 0.3939 
                 1.621 
                 21.494 
                 1.561 
               
               
                 S12 
                 Lens 
                 3.1904 
                 0.2101 
                   
                   
                 1.812 
               
               
                 S13 
                 Seventh 
                 1.6112 
                 0.4621 
                 1.537 
                 55.711 
                 2.420 
               
               
                 S14 
                 Lens 
                 1.2425 
                 0.1961 
                   
                   
                 2.479 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.519 
                 64.197 
                 2.878 
               
               
                 S16 
                   
                 Infinity 
                 0.6293 
                   
                   
                 2.915 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0120 
                   
                   
                 3.268 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 2 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.0435 
                 −0.0109 
                 0.0629 
                 −0.3496 
                 0.8258 
                 −1.1525 
                 0.7549 
                 −0.2137 
                 0 
               
               
                 S2 
                 −13.409 
                 −0.1278 
                 0.1627 
                 0.0433 
                 −0.8903 
                 1.7755 
                 −1.5568 
                 0.5056 
                 0 
               
               
                 S3 
                 −3.4003 
                 −0.1481 
                 0.3107 
                 −0.2639 
                 0.1553 
                 −0.0446 
                 0.299 
                 −0.2867 
                 0 
               
               
                 S4 
                 0.21 
                 −0.0544 
                 0.1307 
                 −0.1443 
                 0.9025 
                 −2.9213 
                 4.8603 
                 −2.7957 
                 0 
               
               
                 S5 
                 3.2497 
                 −0.0995 
                 0.0696 
                 −0.678 
                 2.7904 
                 −5.9532 
                 7.488 
                 −3.502 
                 0 
               
               
                 S6 
                 0.0843 
                 −0.0685 
                 −0.0666 
                 0.3302 
                 −1.5683 
                 4.6995 
                 −6.2319 
                 3.6509 
                 0 
               
               
                 S7 
                 4E−08 
                 −0.155 
                 −0.0515 
                 −0.2096 
                 0.1445 
                 0.5442 
                 −0.6037 
                 0.1711 
                 0 
               
               
                 S8 
                 5E−09 
                 −0.1321 
                 0.0922 
                 −0.6514 
                 0.9947 
                 −0.5706 
                 0.1385 
                 −0.0115 
                 0 
               
               
                 S9 
                 −0.3203 
                 −0.1327 
                 0.4222 
                 −1.1911 
                 1.2725 
                 −0.4351 
                 −0.1439 
                 0.0842 
                 0 
               
               
                 S10 
                 10.535 
                 −0.1849 
                 0.2573 
                 −0.4641 
                 0.511 
                 −0.2753 
                 0.069 
                 −0.0065 
                 0 
               
               
                 S11 
                 −50 
                 0.1562 
                 −0.6443 
                 0.8704 
                 −0.7495 
                 0.3744 
                 −0.0961 
                 0.0098 
                 0 
               
               
                 S12 
                 −34.584 
                 0.0511 
                 −0.2768 
                 0.3083 
                 −0.2075 
                 0.0819 
                 −0.0171 
                 0.0015 
                 0 
               
               
                 S13 
                 −0.9404 
                 −0.5384 
                 0.2288 
                 −0.0102 
                 −0.0258 
                 0.0106 
                 −0.002 
                 0.0002 
                 −7E−06 
               
               
                 S14 
                 −0.996 
                 −0.4669 
                 0.3054 
                 −0.1607 
                 0.0625 
                 −0.0162 
                 0.0026 
                 −0.0002 
                   8E−06 
               
               
                   
               
            
           
         
       
     
     Second Example 
       FIG.  3    is a view illustrating a second example of an optical imaging system, and  FIG.  4    illustrates aberration curves of the optical imaging system of  FIG.  3   . 
     An optical imaging system  2  includes a first lens  1002 , a second lens  2002 , a third lens  3002 , a fourth lens  4002 , a fifth lens  5002 , a sixth lens  6002 , and a seventh lens  7002 . 
     The first lens  1002  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2002  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. The third lens  3002  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4002  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fifth lens  5002  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6002  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6002 . The seventh lens  7002  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7002 , and one inflection point is formed on the image-side surface of the seventh lens  7002 . 
     The optical imaging system  2  further includes a stop, a filter  8002 , and an image sensor  9002 . The stop is disposed between the second lens  2002  and the third lens  3002  to adjust an amount of light incident on the image sensor  9002 . The filter  8002  is disposed between the seventh lens  7002  and the image sensor  9002  to block infrared rays. The image sensor  9002  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  3   , the stop is disposed at a distance of 1.425 mm from the object-side surface of the first lens  1002  toward the imaging plane of the optical imaging system  2 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 2 listed in Table 59 that appears later in this application. 
     Table 3 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  3   , and Table 4 below shows aspherical surface coefficients of the lenses of  FIG.  3   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 3 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.3706 
                 0.5431 
                 1.546 
                 56.114 
                 1.572 
               
               
                 S2 
                 Lens 
                 3.8377 
                 0.1516 
                   
                   
                 1.517 
               
               
                 S3 
                 Second 
                 3.4329 
                 0.7078 
                 1.546 
                 56.114 
                 1.478 
               
               
                 S4 
                 Lens 
                 −17.0251 
                 0.0225 
                   
                   
                 1.428 
               
               
                 S5  
                 Third 
                 5.1429 
                 0.2247 
                 1.679 
                 19.236 
                 1.300 
               
               
                 (Stop) 
                 Lens 
                   
                   
                   
                   
                   
               
               
                 S6 
                   
                 2.5333 
                 0.5888 
                   
                   
                 1.230 
               
               
                 S7 
                 Fourth 
                 −1446.167 
                 0.3404 
                 1.679 
                 19.236 
                 1.404 
               
               
                 S8 
                 Lens 
                 −1446.167 
                 0.2070 
                   
                   
                 1.600 
               
               
                 S9 
                 Fifth 
                 3.6434 
                 0.3264 
                 1.546 
                 56.114 
                 1.857 
               
               
                 S10 
                 Lens 
                 3.8224 
                 0.3171 
                   
                   
                 2.199 
               
               
                 S11 
                 Sixth 
                 3.8509 
                 0.4406 
                 1.679 
                 19.236 
                 2.415 
               
               
                 S12 
                 Lens 
                 3.0494 
                 0.1774 
                   
                   
                 2.808 
               
               
                 S13 
                 Seventh 
                 1.7430 
                 0.6133 
                 1.537 
                 53.955 
                 3.115 
               
               
                 S14 
                 Lens 
                 1.5635 
                 0.2466 
                   
                   
                 3.314 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.519 
                 64.166 
                 3.655 
               
               
                 S16 
                   
                 Infinity 
                 0.8047 
                   
                   
                 3.688 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0051 
                   
                   
                 4.075 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 4 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −7.5196 
                 0.0476 
                 −0.039 
                 0.0108 
                 −0.0002 
                 −0.006 
                 0.0045 
                 −0.0012 
                 0.0001 
                 0 
               
               
                 S2 
                 −19.661 
                 −0.0106 
                 −0.0481 
                 0.0183 
                 0.0105 
                 −0.0109 
                 0.0039 
                 −0.0006 
                   3E−05 
                 0 
               
               
                 S3 
                 0.042 
                 −0.0249 
                 −0.0196 
                 0.0094 
                 0.0041 
                 0.0108 
                 −0.014 
                 0.0056 
                 −0.0008 
                 0 
               
               
                 S4 
                 0 
                 0.0098 
                 −0.0507 
                 0.0341 
                 0.0229 
                 −0.0518 
                 0.0341 
                 −0.0103 
                 0.0012 
                 0 
               
               
                 S5 
                 −5.6502 
                 −0.0476 
                 0.0152 
                 −0.0398 
                 0.11 
                 −0.1327 
                 0.082 
                 −0.0252 
                 0.0031 
                 0 
               
               
                 S6 
                 0.5327 
                 −0.067 
                 0.0583 
                 −0.0705 
                 0.0922 
                 −0.0854 
                 0.0499 
                 −0.0161 
                 0.0024 
                 0 
               
               
                 S7 
                 0 
                 −0.0158 
                 −0.0083 
                 −0.0305 
                 0.0756 
                 −0.0736 
                 0.035 
                 −0.0077 
                 0.0005 
                 0 
               
               
                 S8 
                 0 
                 −0.0099 
                 −0.0427 
                 0.0077 
                 0.0285 
                 −0.0272 
                 0.01 
                 −0.0013 
                 0 
                 0 
               
               
                 S9 
                 −44.395 
                 0.1048 
                 −0.1251 
                 0.08 
                 −0.0437 
                 0.0187 
                 −0.0058 
                 0.001 
                 −7E−05 
                 0 
               
               
                 S10 
                 −4.0715 
                 −0.0175 
                 0.0211 
                 −0.0368 
                 0.0252 
                 −0.01 
                 0.0024 
                 −0.0003 
                   2E−05 
                 0 
               
               
                 S11 
                 −1.1211 
                 0.0034 
                 −0.0742 
                 0.0637 
                 −0.0381 
                 0.0134 
                 −0.0026 
                 0.0003 
                 −1E−05 
                 0 
               
               
                 S12 
                 0.0464 
                 −0.092 
                 0.0339 
                 −0.0168 
                 0.0044 
                 −0.0005 
                 1E−05 
                   3E−06 
                 −2E−07 
                 0 
               
               
                 S13 
                 −0.795 
                 −0.2987 
                 0.11 
                 −0.0259 
                 0.0046 
                 −0.0007 
                 7E−05 
                 −5E−06 
                   2E−07 
                 −5E−09 
               
               
                 S14 
                 −1.3233 
                 −0.199 
                 0.0846 
                 −0.0285 
                 0.0073 
                 −0.0013 
                 0.0002 
                 −1E−05 
                   5E−07 
                 −9E−09 
               
               
                   
               
            
           
         
       
     
     Third Example 
       FIG.  5    is a view illustrating a third example of an optical imaging system, and  FIG.  6    illustrates aberration curves of the optical imaging system of  FIG.  5   . 
     An optical imaging system  3  includes a first lens  1003 , a second lens  2003 , a third lens  3003 , a fourth lens  4003 , a fifth lens  5003 , a sixth lens  6003 , and a seventh lens  7003 . 
     The first lens  1003  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2003  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. The third lens  3003  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4003  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fifth lens  5003  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6003  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6003 . The seventh lens  7003  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7003 , and one inflection point is formed on the image-side surface of the seventh lens  7003 . 
     The optical imaging system  3  further includes a stop, a filter  8003 , and an image sensor  9003 . The stop is disposed between the second lens  2003  and the third lens  3003  to adjust an amount of light incident on the image sensor  9003 . The filter  8003  is disposed between the seventh lens  7003  and the image sensor  9003  to block infrared rays. The image sensor  9003  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  5   , the stop is disposed at a distance of 1.259 mm from the object-side surface of the first lens  1003  toward the imaging plane of the optical imaging system  3 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 3 listed in Table 59 that appears later in this application. 
     Table 5 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  5   , and Table 6 below shows aspherical surface coefficients of the lenses of  FIG.  5   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 5 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.1022 
                 0.4835 
                 1.546 
                 56.114 
                 1.408 
               
               
                 S2 
                 Lens 
                 3.3563 
                 0.1357 
                   
                   
                 1.350 
               
               
                 S3 
                 Second 
                 3.0907 
                 0.6198 
                 1.546 
                 56.114 
                 1.308 
               
               
                 S4 
                 Lens 
                 −13.9876 
                 0.0200 
                   
                   
                 1.271 
               
               
                 S5  
                 Third 
                 4.8553 
                 0.2000 
                 1.679 
                 19.236 
                 1.157 
               
               
                 (Stop) 
                 Lens 
                   
                   
                   
                   
                   
               
               
                 S6 
                   
                 2.3669 
                 0.5599 
                   
                   
                 1.095 
               
               
                 S7 
                 Fourth 
                 −2272.129 
                 0.3012 
                 1.679 
                 19.236 
                 1.270 
               
               
                 S8 
                 Lens 
                 −7278.426 
                 0.1848 
                   
                   
                 1.442 
               
               
                 S9 
                 Fifth 
                 3.3546 
                 0.2946 
                 1.546 
                 56.114 
                 1.646 
               
               
                 S10 
                 Lens 
                 3.5201 
                 0.2604 
                   
                   
                 1.947 
               
               
                 S11 
                 Sixth 
                 3.4723 
                 0.3932 
                 1.679 
                 19.236 
                 2.150 
               
               
                 S12 
                 Lens 
                 2.7354 
                 0.1549 
                   
                   
                 2.500 
               
               
                 S13 
                 Seventh 
                 1.5570 
                 0.5518 
                 1.537 
                 53.955 
                 2.749 
               
               
                 S14 
                 Lens 
                 1.3661 
                 0.2501 
                   
                   
                 2.950 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.519 
                 64.166 
                 3.293 
               
               
                 S16 
                   
                 Infinity 
                 0.6646 
                   
                   
                 3.328 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0054 
                   
                   
                 3.699 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 6 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −7.5279 
                 0.0685 
                 −0.0723 
                 0.0313 
                 −0.0131 
                 −0.0097 
                 0.0144 
                 −0.0054 
                 0.0007 
                 0 
               
               
                 S2 
                 −19.893 
                 −0.0114 
                 −0.0921 
                 0.0405 
                 0.0318 
                 −0.0345 
                 0.0116 
                 −0.001 
                 −0.0002 
                 0 
               
               
                 S3 
                 −0.0142 
                 −0.0359 
                 −0.0288 
                 −0.0087 
                 0.0581 
                 0.0053 
                 −0.0505 
                 0.0291 
                 −0.0054 
                 0 
               
               
                 S4 
                 0 
                 0.0225 
                 −0.1301 
                 0.1638 
                 −0.0413 
                 −0.1012 
                 0.1103 
                 −0.0452 
                 0.0067 
                 0 
               
               
                 S5 
                 −6.2325 
                 −0.061 
                 −0.0037 
                 −0.0472 
                 0.3094 
                 −0.5229 
                 0.4199 
                 −0.1649 
                 0.0257 
                 0 
               
               
                 S6 
                 0.4782 
                 −0.092 
                 0.0962 
                 −0.1588 
                 0.2881 
                 −0.3518 
                 0.2616 
                 −0.1062 
                 0.0192 
                 0 
               
               
                 S7 
                 0 
                 −0.0151 
                 −0.0532 
                 0.0425 
                 0.0094 
                 −0.0356 
                 0.0085 
                 0.009 
                 −0.0039 
                 0 
               
               
                 S8 
                 0 
                 −0.0101 
                 −0.0934 
                 0.0497 
                 0.0399 
                 −0.0661 
                 0.0321 
                 −0.0053 
                 0 
                 0 
               
               
                 S9 
                 −49.08 
                 0.1451 
                 −0.2207 
                 0.1683 
                 −0.1105 
                 0.058 
                 −0.0226 
                 0.0051 
                 −0.0005 
                 0 
               
               
                 S10 
                 −5.4303 
                 −0.0164 
                 0.0172 
                 −0.0595 
                 0.0534 
                 −0.0275 
                 0.0084 
                 −0.0014 
                   1E−04 
                 0 
               
               
                 S11 
                 −1.136 
                 0.0251 
                 −0.1801 
                 0.1935 
                 −0.1377 
                 0.0586 
                 −0.014 
                 0.0017 
                 −9E−05 
                 0 
               
               
                 S12 
                 0.0272 
                 −0.1034 
                 0.0166 
                 3E−05 
                 −0.0063 
                 0.0037 
                 −0.0009 
                 0.0001 
                 −5E−06 
                 0 
               
               
                 S13 
                 −0.8 
                 −0.4195 
                 0.2062 
                 −0.0728 
                 0.0211 
                 −0.0048 
                 0.0007 
                 −8E−05 
                   4E−06 
                 −1E−07 
               
               
                 S14 
                 −1.3207 
                 −0.2931 
                 0.1671 
                 −0.0741 
                 0.0239 
                 −0.0053 
                 0.0008 
                 −7E−05 
                   4E−06 
                 −8E−08 
               
               
                   
               
            
           
         
       
     
     Fourth Example 
       FIG.  7    is a view illustrating a fourth example of an optical imaging system, and  FIG.  8    illustrates aberration curves of the optical imaging system of  FIG.  7   . 
     An optical imaging system  4  includes a first lens  1004 , a second lens  2004 , a third lens  3004 , a fourth lens  4004 , a fifth lens  5004 , a sixth lens  6004 , and a seventh lens  7004 . 
     The first lens  1004  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2004  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. The third lens  3004  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4004  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fifth lens  5004  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6004  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6004 . The seventh lens  7004  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7004 , and one inflection point is formed on the image-side surface of the seventh lens  7004 . 
     The optical imaging system  4  further includes a stop, a filter  8004 , and an image sensor  9004 . The stop is disposed between the second lens  2004  and the third lens  3004  to adjust an amount of light incident on the image sensor  9004 . The filter  8004  is disposed between the seventh lens  7004  and the image sensor  9004  to block infrared rays. The image sensor  9004  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  7   , the stop is disposed at a distance of 1.169 mm from the object-side surface of the first lens  1004  toward the imaging plane of the optical imaging system  4 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 4 listed in Table 59 that appears later in this application. 
     Table 7 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  7   , and Table 8 below shows aspherical surface coefficients of the lenses of  FIG.  7   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 7 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.9512 
                 0.4488 
                 1.546 
                 56.114 
                 1.307 
               
               
                 S2 
                 Lens 
                 3.1152 
                 0.1260 
                   
                   
                 1.253 
               
               
                 S3 
                 Second 
                 2.8686 
                 0.5753 
                 1.546 
                 56.114 
                 1.214 
               
               
                 S4 
                 Lens 
                 −12.9825 
                 0.0186 
                   
                   
                 1.180 
               
               
                 S5  
                 Third 
                 4.5064 
                 0.1856 
                 1.679 
                 19.236 
                 1.074 
               
               
                 (Stop) 
                 Lens 
                   
                   
                   
                   
                   
               
               
                 S6 
                   
                 2.1969 
                 0.5197 
                   
                   
                 1.016 
               
               
                 S7 
                 Fourth 
                 −2108.865 
                 0.2796 
                 1.679 
                 19.236 
                 1.179 
               
               
                 S8 
                 Lens 
                 −6755.436 
                 0.1715 
                   
                   
                 1.338 
               
               
                 S9 
                 Fifth 
                 3.1135 
                 0.2734 
                 1.546 
                 56.114 
                 1.528 
               
               
                 S10 
                 Lens 
                 3.2672 
                 0.2417 
                   
                   
                 1.808 
               
               
                 S11 
                 Sixth 
                 3.2228 
                 0.3650 
                 1.679 
                 19.236 
                 1.996 
               
               
                 S12 
                 Lens 
                 2.5388 
                 0.1438 
                   
                   
                 2.320 
               
               
                 S13 
                 Seventh 
                 1.4451 
                 0.5122 
                 1.537 
                 53.955 
                 2.500 
               
               
                 S14 
                 Lens 
                 1.2680 
                 0.2501 
                   
                   
                 2.738 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.519 
                 64.166 
                 2.940 
               
               
                 S16 
                   
                 Infinity 
                 0.5924 
                   
                   
                 2.971 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0054 
                   
                   
                 3.251 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 8 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −7.5279 
                 0.0857 
                 −0.105 
                 0.0528 
                 −0.0256 
                 −0.0221 
                 0.0379 
                 −0.0166 
                 0.0023 
                 0 
               
               
                 S2 
                 −19.893 
                 −0.0142 
                 −0.1337 
                 0.0682 
                 0.0621 
                 −0.0783 
                 0.0306 
                 −0.0031 
                 −0.0006 
                 0 
               
               
                 S3 
                 −0.0142 
                 −0.0449 
                 −0.0418 
                 −0.0147 
                 0.1136 
                 0.012 
                 −0.1333 
                 0.0892 
                 −0.0193 
                 0 
               
               
                 S4 
                 0 
                 0.0281 
                 −0.189 
                 0.276 
                 −0.0808 
                 −0.2297 
                 0.2908 
                 −0.1382 
                 0.024 
                 0 
               
               
                 S5 
                 −6.2325 
                 −0.0763 
                 −0.0054 
                 −0.0795 
                 0.6054 
                 −1.1875 
                 1.107 
                 −0.5047 
                 0.0912 
                 0 
               
               
                 S6 
                 0.4782 
                 −0.115 
                 0.1396 
                 −0.2676 
                 0.5637 
                 −0.7991 
                 0.6898 
                 −0.325 
                 0.0682 
                 0 
               
               
                 S7 
                 0 
                 −0.0188 
                 −0.0772 
                 0.0717 
                 0.0184 
                 −0.081 
                 0.0225 
                 0.0277 
                 −0.0139 
                 0 
               
               
                 S8 
                 0 
                 −0.0127 
                 −0.1356 
                 0.0837 
                 0.0781 
                 −0.1502 
                 0.0847 
                 −0.0163 
                 0 
                 0 
               
               
                 S9 
                 −49.08 
                 0.1815 
                 −0.3205 
                 0.2837 
                 −0.2161 
                 0.1317 
                 −0.0595 
                 0.0158 
                 −0.0017 
                 0 
               
               
                 S10 
                 −5.4303 
                 −0.0205 
                 0.025 
                 −0.1003 
                 0.1046 
                 −0.0624 
                 0.0222 
                 −0.0043 
                 0.0003 
                 0 
               
               
                 S11 
                 −1.136 
                 0.0314 
                 −0.2615 
                 0.3261 
                 −0.2695 
                 0.133 
                 −0.0369 
                 0.0053 
                 −0.0003 
                 0 
               
               
                 S12 
                 0.0272 
                 −0.1293 
                 0.0241 
                 5E−05 
                 −0.0123 
                 0.0085 
                 −0.0024 
                 0.0003 
                 −2E−05 
                 0 
               
               
                 S13 
                 −0.8 
                 −0.5247 
                 0.2994 
                 −0.1227 
                 0.0414 
                 −0.0108 
                 0.002 
                 −0.0002 
                   2E−05 
                 −4E−07 
               
               
                 S14 
                 −1.3207 
                 −0.3666 
                 0.2425 
                 −0.1248 
                 0.0468 
                 −0.0121 
                 0.002 
                 −0.0002 
                   1E−05 
                 −3E−07 
               
               
                   
               
            
           
         
       
     
     Fifth Example 
       FIG.  9    is a view illustrating a fifth example of an optical imaging system, and  FIG.  10    illustrates aberration curves of the optical imaging system of  FIG.  9   . 
     An optical imaging system  5  includes a first lens  1005 , a second lens  2005 , a third lens  3005 , a fourth lens  4005 , a fifth lens  5005 , a sixth lens  6005 , and a seventh lens  7005 . 
     The first lens  1005  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2005  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3005  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4005  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5005  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6005  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6005 . The seventh lens  7005  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7005 . 
     The optical imaging system  5  further includes a stop, a filter  8005 , and an image sensor  9005 . The stop is disposed between the first lens  1005  and the second lens  2005  to adjust an amount of light incident on the image sensor  9005 . The filter  8005  is disposed between the seventh lens  7005  and the image sensor  9005  to block infrared rays. The image sensor  9005  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  9   , the stop is disposed at a distance of 0.383 mm from the object-side surface of the first lens  1005  toward the imaging plane of the optical imaging system  5 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 5 listed in Table 59 that appears later in this application. 
     Table 9 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  9   , and Table 10 below shows aspherical surface coefficients of the lenses of  FIG.  9   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 9 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.1824 
                 0.3329 
                 1.546 
                 56.114 
                 1.380 
               
               
                 S2 
                 Lens 
                 1.9439 
                 0.0500 
                   
                   
                 1.369 
               
               
                 S3  
                 Second 
                 1.6857 
                 0.7322 
                 1.546 
                 56.114 
                 1.335 
               
               
                 (Stop) 
                 Lens 
                   
                   
                   
                   
                   
               
               
                 S4 
                   
                 28.3727 
                 0.0500 
                   
                   
                 1.264 
               
               
                 S5 
                 Third 
                 7.1536 
                 0.2200 
                 1.679 
                 19.236 
                 1.185 
               
               
                 S6 
                 Lens 
                 2.9223 
                 0.4264 
                   
                   
                 1.050 
               
               
                 S7 
                 Fourth 
                 46.9146 
                 0.3121 
                 1.646 
                 23.528 
                 1.112 
               
               
                 S8 
                 Lens 
                 17.5860 
                 0.2616 
                   
                   
                 1.268 
               
               
                 S9 
                 Fifth 
                 2.2655 
                 0.2700 
                 1.646 
                 23.528 
                 1.774 
               
               
                 S10 
                 Lens 
                 2.3143 
                 0.3731 
                   
                   
                 1.839 
               
               
                 S11 
                 Sixth 
                 8.5186 
                 0.6078 
                 1.546 
                 56.114 
                 2.160 
               
               
                 S12 
                 Lens 
                 −1.9871 
                 0.3782 
                   
                   
                 2.308 
               
               
                 S13 
                 Seventh 
                 −4.7165 
                 0.3600 
                 1.546 
                 56.114 
                 2.780 
               
               
                 S14 
                 Lens 
                 1.8919 
                 0.1457 
                   
                   
                 2.998 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.519 
                 64.166 
                 3.353 
               
               
                 S16 
                   
                 Infinity 
                 0.6600 
                   
                   
                 3.385 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0100 
                   
                   
                 3.712 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 10 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −3.5715 
                 0.0005 
                 0.0011 
                 −0.0181 
                 0.0025 
                 0.0107 
                 −0.0084 
                 0.0026 
                 −0.0003 
                 0 
               
               
                 S2 
                 −9.1496 
                 −0.0513 
                 −0.0055 
                 0.0116 
                 0.0161 
                 −0.0207 
                 0.0078 
                 −0.001 
                 0 
                 0 
               
               
                 S3 
                 −2.5622 
                 −0.0879 
                 0.1115 
                 −0.1204 
                 0.1625 
                 −0.1325 
                 0.0578 
                 −0.0118 
                 0.0006 
                 0 
               
               
                 S4 
                 −90 
                 −0.078 
                 0.2103 
                 −0.4384 
                 0.6397 
                 −0.6153 
                 0.3736 
                 −0.1288 
                 0.0189 
                 0 
               
               
                 S5 
                 0 
                 −0.1133 
                 0.2975 
                 −0.5447 
                 0.7496 
                 −0.7199 
                 0.4525 
                 −0.1642 
                 0.0257 
                 0 
               
               
                 S6 
                 4.6946 
                 −0.0705 
                 0.1434 
                 −0.2144 
                 0.1998 
                 −0.0956 
                 −0.0142 
                 0.0399 
                 −0.0137 
                 0 
               
               
                 S7 
                 0 
                 −0.0972 
                 0.1221 
                 −0.3303 
                 0.5457 
                 −0.6222 
                 0.4555 
                 −0.1995 
                 0.0405 
                 0 
               
               
                 S8 
                 0 
                 −0.1596 
                 0.2027 
                 −0.3281 
                 0.3412 
                 −0.2472 
                 0.1212 
                 −0.0385 
                 0.0064 
                 0 
               
               
                 S9 
                 −18.27 
                 −0.0564 
                 −0.0069 
                 0.0518 
                 −0.0566 
                 0.0228 
                 −0.0011 
                 −0.0019 
                 0.0004 
                 0 
               
               
                 S10 
                 −15.127 
                 −0.0603 
                 −0.0145 
                 0.0594 
                 −0.0601 
                 0.0318 
                 −0.0096 
                 0.0015 
                 −1E−04 
                 0 
               
               
                 S11 
                 0 
                 0.0027 
                 −0.0398 
                 0.025 
                 −0.0137 
                 0.005 
                 −0.001 
                   1E−04 
                 −4E−06 
                 0 
               
               
                 S12 
                 −1.1693 
                 0.1224 
                 −0.1006 
                 0.0535 
                 −0.0195 
                 0.005 
                 −0.0008 
                   8E−05 
                 −3E−06 
                 0 
               
               
                 S13 
                 −4.4446 
                 −0.097 
                 −0.0137 
                 0.0358 
                 −0.0141 
                 0.0028 
                 −0.0003 
                   2E−05 
                 −5E−07 
                 0 
               
               
                 S14 
                 −8.7431 
                 −0.0906 
                 0.0342 
                 −0.009 
                 0.0017 
                 −0.0002 
                 2E−05 
                 −1E−06 
                   3E−08 
                 0 
               
               
                   
               
            
           
         
       
     
     Sixth Example 
       FIG.  11    is a view illustrating a sixth example of an optical imaging system, and  FIG.  12    illustrates aberration curves of the optical imaging system of  FIG.  11   . 
     An optical imaging system  6  includes a first lens  1006 , a second lens  2006 , a third lens  3006 , a fourth lens  4006 , a fifth lens  5006 , a sixth lens  6006 , and a seventh lens  7006 . 
     The first lens  1006  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2006  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3006  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4006  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5006  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6006  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6006 . The seventh lens  7006  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7006 . 
     The optical imaging system  6  further includes a stop, a filter  8006 , and an image sensor  9006 . The stop is disposed between the first lens  1006  and the second lens  2006  to adjust an amount of light incident on the image sensor  9006 . The filter  8006  is disposed between the seventh lens  7006  and the image sensor  9006  to block infrared rays. The image sensor  9006  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  11   , the stop is disposed at a distance of 0.352 mm from the object-side surface of the first lens  1006  toward the imaging plane of the optical imaging system  6 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 6 listed in Table 59 that appears later in this application. 
     Table 11 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  11   , and Table 12 below shows aspherical surface coefficients of the lenses of  FIG.  11   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 11 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.0068 
                 0.3061 
                 1.546 
                 56.114 
                 1.269 
               
               
                 S2 
                 Lens 
                 1.7875 
                 0.0460 
                   
                   
                 1.259 
               
               
                 S3 
                 Second 
                 1.5501 
                 0.6732 
                 1.546 
                 56.114 
                 1.228 
               
               
                 (Stop) 
                 Lens 
                   
                   
                   
                   
                   
               
               
                 S4 
                   
                 26.0899 
                 0.0460 
                   
                   
                 1.162 
               
               
                 S5 
                 Third 
                 6.5780 
                 0.2023 
                 1.679 
                 19.236 
                 1.090 
               
               
                 S6 
                 Lens 
                 2.6872 
                 0.3921 
                   
                   
                 0.966 
               
               
                 S7 
                 Fourth 
                 43.1399 
                 0.2870 
                 1.646 
                 23.528 
                 1.017 
               
               
                 S8 
                 Lens 
                 16.1710 
                 0.2406 
                   
                   
                 1.159 
               
               
                 S9 
                 Fifth 
                 2.0832 
                 0.2483 
                 1.646 
                 23.528 
                 1.449 
               
               
                 S10 
                 Lens 
                 2.1281 
                 0.3430 
                   
                   
                 1.675 
               
               
                 S11 
                 Sixth 
                 7.8332 
                 0.5589 
                 1.546 
                 56.114 
                 1.986 
               
               
                 S12 
                 Lens 
                 −1.8272 
                 0.3478 
                   
                   
                 2.083 
               
               
                 S13 
                 Seventh 
                 −4.3370 
                 0.3310 
                 1.546 
                 56.114 
                 2.556 
               
               
                 S14 
                 Lens 
                 1.7397 
                 0.1457 
                   
                   
                 2.669 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.519 
                 64.166 
                 2.953 
               
               
                 S16 
                   
                 Infinity 
                 0.5893 
                   
                   
                 2.983 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0100 
                   
                   
                 3.258 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 12 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −3.5715 
                 0.0006 
                 0.0017 
                 −0.0326 
                 0.0053 
                 0.027 
                 −0.0251 
                 0.0092 
                 −0.0013 
                 0 
               
               
                 S2 
                 −9.1496 
                 −0.0659 
                 −0.0083 
                 0.0208 
                 0.0344 
                 −0.0521 
                 0.0231 
                 −0.0036 
                 0 
                 0 
               
               
                 S3 
                 −2.5622 
                 −0.113 
                 0.1695 
                 −0.2165 
                 0.3458 
                 −0.3334 
                 0.1719 
                 −0.0415 
                 0.0024 
                 0 
               
               
                 S4 
                 −90 
                 −0.1003 
                 0.3198 
                 −0.7886 
                 1.361 
                 −1.5481 
                 1.1116 
                 −0.4533 
                 0.0785 
                 0 
               
               
                 S5 
                 0 
                 −0.1458 
                 0.4526 
                 −0.9799 
                 1.5947 
                 −1.8113 
                 1.3465 
                 −0.5778 
                 0.107 
                 0 
               
               
                 S6 
                 4.6946 
                 −0.0906 
                 0.2181 
                 −0.3857 
                 0.425 
                 −0.2404 
                 −0.0421 
                 0.1403 
                 −0.0569 
                 0 
               
               
                 S7 
                 0 
                 −0.125 
                 0.1857 
                 −0.5941 
                 1.161 
                 −1.5655 
                 1.3554 
                 −0.7021 
                 0.1686 
                 0 
               
               
                 S8 
                 0 
                 −0.2053 
                 0.3083 
                 −0.5902 
                 0.7259 
                 −0.622 
                 0.3607 
                 −0.1355 
                 0.0267 
                 0 
               
               
                 S9 
                 −18.27 
                 −0.0725 
                 −0.0104 
                 0.0931 
                 −0.1203 
                 0.0574 
                 −0.0031 
                 −0.0068 
                 0.0017 
                 0 
               
               
                 S10 
                 −15.127 
                 −0.0776 
                 −0.022 
                 0.1069 
                 −0.1279 
                 0.0799 
                 −0.0284 
                 0.0054 
                 −0.0004 
                 0 
               
               
                 S11 
                 0 
                 0.0035 
                 −0.0606 
                 0.045 
                 −0.0292 
                 0.0125 
                 −0.0029 
                 0.0003 
                 −2E−05 
                 0 
               
               
                 S12 
                 −1.1693 
                 0.1574 
                 −0.153 
                 0.0962 
                 −0.0415 
                 0.0126 
                 −0.0025 
                 0.0003 
                 −1E−05 
                 0 
               
               
                 S13 
                 −4.4446 
                 −0.1248 
                 −0.0209 
                 0.0644 
                 −0.0301 
                 0.007 
                 −0.0009 
                   6E−05 
                 −2E−06 
                 0 
               
               
                 S14 
                 −8.7431 
                 −0.1165 
                 0.052 
                 −0.0161 
                 0.0035 
                 −0.0006 
                 7E−05 
                 −4E−06 
                   1E−07 
                 0 
               
               
                   
               
            
           
         
       
     
     Seventh Example 
       FIG.  13    is a view illustrating a seventh example of an optical imaging system, and  FIG.  14    illustrates aberration curves of the optical imaging system of  FIG.  13   . 
     An optical imaging system  7  includes a first lens  1007 , a second lens  2007 , a third lens  3007 , a fourth lens  4007 , a fifth lens  5007 , a sixth lens  6007 , and a seventh lens  7007 . 
     The first lens  1007  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2007  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3007  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4007  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5007  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6007  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6007 . The seventh lens  7007  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7007 . 
     The optical imaging system  7  further includes a stop, a filter  8007 , and an image sensor  9007 . The stop is disposed between the first lens  1007  and the second lens  2007  to adjust an amount of light incident on the image sensor  9007 . The filter  8007  is disposed between the seventh lens  7007  and the image sensor  9007  to block infrared rays. The image sensor  9007  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  13   , the stop is disposed at a distance of 0.731 mm from the object-side surface of the first lens  1007  toward the imaging plane of the optical imaging system  7 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 7 listed in Table 59 that appears later in this application. 
     Table 13 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  13   , and Table 14 below shows aspherical surface coefficients of the lenses of  FIG.  13   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 13 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.73233 
                 0.73124 
                 1.546 
                 56.114 
                 1.250 
               
               
                 S2  
                 Lens 
                 12.53699 
                 0.07002 
                   
                   
                 1.181 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S3 
                 Second 
                 5.58930 
                 0.20000 
                 1.667 
                 20.353 
                 1.147 
               
               
                 S4 
                 Lens 
                 2.57397 
                 0.39715 
                   
                   
                 1.100 
               
               
                 S5 
                 Third 
                 8.06552 
                 0.38474 
                 1.546 
                 56.114 
                 1.128 
               
               
                 S6 
                 Lens 
                 7.83668 
                 0.19259 
                   
                   
                 1.247 
               
               
                 S7 
                 Fourth 
                 6.68716 
                 0.24423 
                 1.546 
                 56.114 
                 1.276 
               
               
                 S8 
                 Lens 
                 30.32847 
                 0.27130 
                   
                   
                 1.374 
               
               
                 S9 
                 Fifth 
                 −3.28742 
                 0.24968 
                 1.667 
                 20.353 
                 1.481 
               
               
                 S10 
                 Lens 
                 −4.51593 
                 0.13884 
                   
                   
                 1.734 
               
               
                 S11 
                 Sixth 
                 5.67988 
                 0.51987 
                 1.546 
                 56.114 
                 2.150 
               
               
                 S12 
                 Lens 
                 −1.89003 
                 0.31663 
                   
                   
                 2.318 
               
               
                 S13 
                 Seventh 
                 −3.93255 
                 0.30000 
                 1.546 
                 56.114 
                 2.640 
               
               
                 S14 
                 Lens 
                 1.74183 
                 0.19371 
                   
                   
                 2.747 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11000 
                 1.518 
                 64.166 
                 3.146 
               
               
                 S16 
                   
                 Infinity 
                 0.77000 
                   
                   
                 3.177 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.01000 
                   
                   
                 3.536 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 14 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.7464 
                 0.0139 
                 0.0344 
                 −0.0749 
                 0.1029 
                 −0.0706 
                 0.0173 
                 0.0042 
                 −0.0023 
                 0 
               
               
                 S2 
                 36.669 
                 −0.0823 
                 0.195 
                 −0.3067 
                 0.3634 
                 −0.323 
                 0.1902 
                 −0.0632 
                 0.0086 
                 0 
               
               
                 S3 
                 −1.3559 
                 −0.1603 
                 0.3305 
                 −0.4059 
                 0.3324 
                 −0.1787 
                 0.0673 
                 −0.0166 
                 0.0018 
                 0 
               
               
                 S4 
                 −0.4109 
                 −0.0907 
                 0.1444 
                 0.1155 
                 −0.7969 
                 1.5009 
                 −1.4406 
                 0.7219 
                 −0.147 
                 0 
               
               
                 S5 
                 0 
                 −0.0739 
                 0.0463 
                 −0.1203 
                 0.1165 
                 −0.0578 
                 −0.0089 
                 0.0233 
                 −0.0057 
                 0 
               
               
                 S6 
                 0 
                 −0.0932 
                 0.0034 
                 0.0521 
                 −0.1827 
                 0.2457 
                 −0.2173 
                 0.1126 
                 −0.0241 
                 0 
               
               
                 S7 
                 25.148 
                 −0.1235 
                 −0.1887 
                 0.3763 
                 −0.554 
                 0.6731 
                 −0.5796 
                 0.2782 
                 −0.0538 
                 0 
               
               
                 S8 
                 −99 
                 −9E−05 
                 −0.3274 
                 0.3588 
                 −0.3195 
                 0.3451 
                 −0.2608 
                 0.0995 
                 −0.0144 
                 0 
               
               
                 S9 
                 −70.894 
                 0.0205 
                 0.0483 
                 −0.5284 
                 0.7583 
                 −0.4915 
                 0.1636 
                 −0.0271 
                 0.0018 
                 0 
               
               
                 S10 
                 2.2832 
                 0.1759 
                 −0.3448 
                 0.2283 
                 −0.0716 
                 0.011 
                 −0.0007 
                 −4E−06 
                   1E−06 
                 0 
               
               
                 S11 
                 −99 
                 0.1188 
                 −0.2169 
                 0.1675 
                 −0.0871 
                 0.0276 
                 −0.0049 
                 0.0005 
                 −2E−05 
                 0 
               
               
                 S12 
                 −3.3067 
                 0.1644 
                 −0.1849 
                 0.1159 
                 −0.049 
                 0.0138 
                 −0.0024 
                 0.0002 
                 −9E−06 
                 0 
               
               
                 S13 
                 −2.4772 
                 −0.1026 
                 −0.0482 
                 0.074 
                 −0.0308 
                 0.0067 
                 −0.0008 
                   6E−05 
                 −2E−06 
                 0 
               
               
                 S14 
                 −1.1028 
                 −0.2935 
                 0.2033 
                 −0.1127 
                 0.0457 
                 −0.0129 
                 0.0024 
                 −0.0003 
                   2E−05 
                 −5E−07 
               
               
                   
               
            
           
         
       
     
     Eighth Example 
       FIG.  15    is a view illustrating an eighth example of an optical imaging system, and  FIG.  16    illustrates aberration curves of the optical imaging system of  FIG.  15   . 
     An optical imaging system  8  includes a first lens  1008 , a second lens  2008 , a third lens  3008 , a fourth lens  4008 , a fifth lens  5008 , a sixth lens  6008 , and a seventh lens  7008 . 
     The first lens  1008  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2008  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3008  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4008  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5008  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6008  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6008 . The seventh lens  7008  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7008 . 
     The optical imaging system  8  further includes a stop, a filter  8008 , and an image sensor  9008 . The stop is disposed between the first lens  1008  and the second lens  2008  to adjust an amount of light incident on the image sensor  9008 . The filter  8008  is disposed between the seventh lens  7008  and the image sensor  9008  to block infrared rays. The image sensor  9008  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  15   , the stop is disposed at a distance of 0.696 mm from the object-side surface of the first lens  1008  toward the imaging plane of the optical imaging system  8 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 8 listed in Table 59 that appears later in this application. 
     Table 15 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  15   , and Table 16 below shows aspherical surface coefficients of the lenses of  FIG.  15   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 15 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.76093 
                 0.69658 
                 1.546 
                 56.114 
                 1.285 
               
               
                 S2  
                 Lens 
                 12.78634 
                 0.09190 
                   
                   
                 1.237 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S3 
                 Second 
                 5.69283 
                 0.19245 
                 1.667 
                 20.353 
                 1.198 
               
               
                 S4 
                 Lens 
                 2.65937 
                 0.39218 
                   
                   
                 1.100 
               
               
                 S5 
                 Third 
                 8.20428 
                 0.41830 
                 1.546 
                 56.114 
                 1.143 
               
               
                 S6 
                 Lens 
                 7.91545 
                 0.16876 
                   
                   
                 1.265 
               
               
                 S7 
                 Fourth 
                 6.75201 
                 0.26903 
                 1.546 
                 56.114 
                 1.284 
               
               
                 S8 
                 Lens 
                 55.74455 
                 0.23097 
                   
                   
                 1.367 
               
               
                 S9 
                 Fifth 
                 −3.08690 
                 0.42919 
                 1.667 
                 20.353 
                 1.418 
               
               
                 S10 
                 Lens 
                 −4.62560 
                 0.09404 
                   
                   
                 1.699 
               
               
                 S11 
                 Sixth 
                 5.18773 
                 0.58281 
                 1.546 
                 56.114 
                 2.150 
               
               
                 S12 
                 Lens 
                 −1.85438 
                 0.30690 
                   
                   
                 2.100 
               
               
                 S13 
                 Seventh 
                 −4.06715 
                 0.30000 
                 1.546 
                 56.114 
                 2.300 
               
               
                 S14 
                 Lens 
                 1.68940 
                 0.22233 
                   
                   
                 2.631 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11000 
                 1.518 
                 64.166 
                 2.912 
               
               
                 S16 
                   
                 Infinity 
                 0.77152 
                   
                   
                 2.942 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.00847 
                   
                   
                 3.281 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 16 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.785 
                 0.0169 
                 0.0171 
                 −0.0159 
                 −0.0114 
                 0.0583 
                 −0.067 
                 0.0338 
                 −0.0066 
                 0 
               
               
                 S2 
                 45.58 
                 −0.0601 
                 0.1355 
                 −0.2175 
                 0.2636 
                 −0.2331 
                 0.1319 
                 −0.0411 
                 0.0051 
                 0 
               
               
                 S3 
                 1.584 
                 −0.1444 
                 0.2883 
                 −0.3594 
                 0.3009 
                 −0.1422 
                 0.021 
                 0.0121 
                 −0.0046 
                 0 
               
               
                 S4 
                 −0.5948 
                 −0.0935 
                 0.1656 
                 −0.0201 
                 −0.372 
                 0.7699 
                 −0.7293 
                 0.3536 
                 −0.0683 
                 0 
               
               
                 S5 
                 0 
                 −0.0677 
                 0.0256 
                 −0.0658 
                 0.0582 
                 −0.0383 
                 0.013 
                 0.0013 
                 −0.0005 
                 0 
               
               
                 S6 
                 0 
                 −0.0847 
                 −0.0499 
                 0.1996 
                 −0.3976 
                 0.4333 
                 −0.3115 
                 0.1361 
                 −0.026 
                 0 
               
               
                 S7 
                 25.588 
                 −0.1098 
                 −0.2727 
                 0.6279 
                 −0.9136 
                 0.9353 
                 −0.6674 
                 0.2828 
                 −0.0509 
                 0 
               
               
                 S8 
                 −99 
                 0.0297 
                 −0.4755 
                 0.7447 
                 −0.8912 
                 0.8375 
                 −0.5032 
                 0.1625 
                 −0.0211 
                 0 
               
               
                 S9 
                 −66.103 
                 −0.0453 
                 0.1301 
                 −0.541 
                 0.7178 
                 −0.4567 
                 0.1508 
                 −0.0248 
                 0.0016 
                 0 
               
               
                 S10 
                 1.6574 
                 0.126 
                 −0.2272 
                 0.1439 
                 −0.0478 
                 0.0097 
                 −0.0013 
                 0.0001 
                 −5E−06 
                 0 
               
               
                 S11 
                 −99 
                 0.1115 
                 −0.1711 
                 0.1182 
                 −0.0561 
                 0.0162 
                 −0.0026 
                 0.0002 
                 −8E−06 
                 0 
               
               
                 S12 
                 −3.3351 
                 0.1192 
                 −0.1147 
                 0.0615 
                 −0.0222 
                 0.0053 
                 −0.0008 
                 6E−05 
                 −2E−06 
                 0 
               
               
                 S13 
                 −2.7152 
                 −0.0748 
                 −0.0688 
                 0.08 
                 −0.032 
                 0.0069 
                 −0.0009 
                 6E−05 
                 −2E−06 
                 0 
               
               
                 S14 
                 −1.1007 
                 −0.2576 
                 0.1553 
                 −0.0741 
                 0.0262 
                 −0.0065 
                 0.0011 
                 −0.0001 
                   7E−06 
                 −2E−07 
               
               
                   
               
            
           
         
       
     
     Ninth Example 
       FIG.  17    is a view illustrating a ninth example of an optical imaging system, and  FIG.  18    illustrates aberration curves of the optical imaging system of  FIG.  17   . 
     An optical imaging system  9  includes a first lens  1009 , a second lens  2009 , a third lens  3009 , a fourth lens  4009 , a fifth lens  5009 , a sixth lens  6009 , and a seventh lens  7009 . 
     The first lens  1009  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2009  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. The third lens  3009  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4009  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5009  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6009  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6009 . The seventh lens  7009  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7009 , and one inflection point is formed on the image-side surface of the seventh lens  7009 . 
     The optical imaging system  9  further includes a stop, a filter  8009 , and an image sensor  9009 . The stop is disposed between the second lens  2009  and the third lens  3009  to adjust an amount of light incident on the image sensor  9009 . The filter  8009  is disposed between the seventh lens  7009  and the image sensor  9009  to block infrared rays. The image sensor  9009  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  17   , the stop is disposed at a distance of 1.158 mm from the object-side surface of the first lens  1009  toward the imaging plane of the optical imaging system  9 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 9 listed in Table 59 that appears later in this application. 
     Table 17 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  17   , and Table 18 below shows aspherical surface coefficients of the lenses of  FIG.  17   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 17 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.141 
                 0.481 
                 1.546 
                 56.114 
                 1.450 
               
               
                 S2 
                 Lens 
                 3.251 
                 0.110 
                   
                   
                 1.350 
               
               
                 S3 
                 Second 
                 3.253 
                 0.542 
                 1.546 
                 56.114 
                 1.285 
               
               
                 S4 
                 Lens 
                 −15.773 
                 0.025 
                   
                   
                 1.232 
               
               
                 S5  
                 Third 
                 8.425 
                 0.230 
                 1.679 
                 19.236 
                 1.157 
               
               
                 (Stop) 
                 Lens 
                   
                   
                   
                   
                   
               
               
                 S6 
                   
                 3.514 
                 0.625 
                   
                   
                 1.095 
               
               
                 S7 
                 Fourth 
                 25.986 
                 0.296 
                 1.679 
                 19.236 
                 1.265 
               
               
                 S8 
                 Lens 
                 15.894 
                 0.230 
                   
                   
                 1.452 
               
               
                 S9 
                 Fifth 
                 3.048 
                 0.400 
                 1.546 
                 56.114 
                 1.675 
               
               
                 S10 
                 Lens 
                 3.616 
                 0.290 
                   
                   
                 2.092 
               
               
                 S11 
                 Sixth 
                 3.762 
                 0.400 
                 1.679 
                 19.236 
                 2.153 
               
               
                 S12 
                 Lens 
                 2.792 
                 0.204 
                   
                   
                 2.476 
               
               
                 S13 
                 Seventh 
                 1.614 
                 0.510 
                 1.537 
                 53.955 
                 2.938 
               
               
                 S14 
                 Lens 
                 1.326 
                 0.196 
                   
                   
                 3.102 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.110 
                 1.518 
                 64.197 
                 3.420 
               
               
                 S16 
                   
                 Infinity 
                 0.639 
                   
                   
                 3.450 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.011 
                   
                   
                 3.730 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 18 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −8.038 
                 0.0707 
                 −0.0797 
                 0.0334 
                 0.0072 
                 −0.0491 
                 0.0465 
                 −0.0186 
                 0.0032 
                 −0.0002 
               
               
                 S2 
                 −20.594 
                 −0.0019 
                 −0.1494 
                 0.2041 
                 −0.2922 
                 0.3755 
                 −0.3085 
                 0.1486 
                 −0.0387 
                 0.0042 
               
               
                 S3 
                 −0.0908 
                 −0.0339 
                 −0.0641 
                 0.1368 
                 −0.2821 
                 0.4921 
                 −0.4815 
                 0.2605 
                 −0.0746 
                 0.0088 
               
               
                 S4 
                 −0.4822 
                 −0.0436 
                 0.1761 
                 −0.3256 
                 0.1999 
                 0.1916 
                 −0.4291 
                 0.3203 
                 −0.1141 
                 0.0162 
               
               
                 S5 
                 −1.1841 
                 −0.1073 
                 0.2544 
                 −0.4683 
                 0.4991 
                 −0.2863 
                 0.0565 
                 0.0325 
                 −0.0229 
                 0.0044 
               
               
                 S6 
                 0.8733 
                 −0.0693 
                 0.0357 
                 0.2048 
                 −0.8833 
                 1.7328 
                 −1.9742 
                 1.3464 
                 −0.5106 
                 0.083 
               
               
                 S7 
                 −0.4999 
                 −0.0314 
                 0.0135 
                 −0.2894 
                 0.9716 
                 −1.7181 
                 1.7923 
                 −1.1152 
                 0.3837 
                 −0.0563 
               
               
                 S8 
                 −1E−06 
                 −0.0273 
                 −0.1177 
                 0.212 
                 −0.2544 
                 0.2157 
                 −0.1264 
                 0.0469 
                 −0.0093 
                 0.0007 
               
               
                 S9 
                 −41.843 
                 0.1624 
                 −0.3487 
                 0.4016 
                 −0.3105 
                 0.1396 
                 −0.027 
                 −0.0038 
                 0.0026 
                 −0.0003 
               
               
                 S10 
                 −5.1424 
                 0.0397 
                 −0.1364 
                 0.1569 
                 −0.1229 
                 0.0633 
                 −0.0212 
                 0.0044 
                 −0.0005 
                   3E−05 
               
               
                 S11 
                 −2.1666 
                 0.0356 
                 −0.1809 
                 0.1985 
                 −0.1438 
                 0.0641 
                 −0.0173 
                 0.0028 
                 −0.0002 
                   9E−06 
               
               
                 S12 
                 −0.0207 
                 −0.1043 
                 0.0239 
                 −0.0063 
                 −0.0007 
                 0.0007 
                 −3E−06 
                 −4E−05 
                 7E−06 
                 −4E−07 
               
               
                 S13 
                 −0.7948 
                 −0.4128 
                 0.1863 
                 −0.0516 
                 0.0101 
                 −0.0015 
                 0.0002 
                 −1E−05 
                 6E−07 
                 −1E−08 
               
               
                 S14 
                 −1.3226 
                 −0.3105 
                 0.1713 
                 −0.0712 
                 0.0213 
                 −0.0043 
                 0.0006 
                 −5E−05 
                 2E−06 
                 −5E−08 
               
               
                   
               
            
           
         
       
     
     Tenth Example 
       FIG.  19    is a view illustrating a tenth example of an optical imaging system, and  FIG.  20    illustrates aberration curves of the optical imaging system of  FIG.  19   . 
     An optical imaging system  10  includes a first lens  1010 , a second lens  2010 , a third lens  3010 , a fourth lens  4010 , a fifth lens  5010 , a sixth lens  6010 , and a seventh lens  7010 . 
     The first lens  1010  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2010  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3010  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4010  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5010  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6010  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6010 . The seventh lens  7010  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7010 , and one inflection point is formed on the image-side surface of the seventh lens  7010 . 
     The optical imaging system  10  further includes a stop, a filter  8010 , and an image sensor  9010 . The stop is disposed between the second lens  2010  and the third lens  3010  to adjust an amount of light incident on the image sensor  9010 . The filter  8010  is disposed between the seventh lens  7010  and the image sensor  9010  to block infrared rays. The image sensor  9010  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  19   , the stop is disposed at a distance of 1.179 mm from the object-side surface of the first lens  1010  toward the imaging plane of the optical imaging system  10 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 10 listed in Table 59 that appears later in this application. 
     Table 19 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  19   , and Table 20 below shows aspherical surface coefficients of the lenses of  FIG.  19   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 19 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.3878602 
                 0.35 
                 1.546 
                 56.114 
                 1.470 
               
               
                 S2 
                 Lens 
                 2.62132398 
                 0.10425 
                   
                   
                 1.439 
               
               
                 S3 
                 Second 
                 2.53822644 
                 0.7 
                 1.546 
                 56.114 
                 1.405 
               
               
                 S4 
                 Lens 
                 36.207255 
                 0.025 
                   
                   
                 1.322 
               
               
                 S5 (Stop) 
                 Third 
                 7.79607111 
                 0.23 
                 1.679 
                 19.236 
                 1.287 
               
               
                 S6 
                 Lens 
                 3.49120755 
                 0.3961335 
                   
                   
                 1.325 
               
               
                 S7 
                 Fourth 
                 5.43312406 
                 0.5053863 
                 1.546 
                 56.114 
                 1.461 
               
               
                 S8 
                 Lens 
                 9.39050621 
                 0.4436731 
                   
                   
                 1.563 
               
               
                 S9 
                 Fifth 
                 4.67888662 
                 0.4842217 
                 1.546 
                 56.114 
                 1.772 
               
               
                 S10 
                 Lens 
                 9.57328318 
                 0.4757916 
                   
                   
                 2.209 
               
               
                 S11 
                 Sixth 
                 7.18942036 
                 0.4753531 
                 1.679 
                 19.236 
                 2.238 
               
               
                 S12 
                 Lens 
                 3.83971065 
                 0.2154454 
                   
                   
                 2.557 
               
               
                 S13 
                 Seventh 
                 1.81373827 
                 0.5598542 
                 1.546 
                 56.114 
                 3.026 
               
               
                 S14 
                 Lens 
                 1.38723655 
                 0.2300778 
                   
                   
                 3.262 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.518 
                 64.197 
                 3.724 
               
               
                 S16 
                   
                 Infinity 
                 0.6349996 
                   
                   
                 3.763 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.015 
                   
                   
                 4.160 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 20 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.9977 
                 −0.0046 
                 −0.0139 
                 −0.024 
                 0.0712 
                 −0.0925 
                 0.0658 
                 −0.0257 
                 0.0051 
                 −0.0004 
               
               
                 S2 
                 −10.008 
                 0.0879 
                 −0.2624 
                 0.4378 
                 −0.5581 
                 0.4751 
                 −0.2476 
                 0.0753 
                 −0.0122 
                 0.0008 
               
               
                 S3 
                 −0.5121 
                 −0.0082 
                 0.0297 
                 −0.2049 
                 0.402 
                 −0.4509 
                 0.3219 
                 −0.1392 
                 0.0325 
                 −0.0031 
               
               
                 S4 
                 42.587 
                 −0.0077 
                 −0.0816 
                 0.5107 
                 −1.169 
                 1.3206 
                 −0.8193 
                 0.2839 
                 −0.0514 
                 0.0038 
               
               
                 S5 
                 14.891 
                 −0.0724 
                 0.0409 
                 0.4245 
                 −1.2505 
                 1.5731 
                 −1.0799 
                 0.4229 
                 −0.0892 
                 0.0079 
               
               
                 S6 
                 1.8054 
                 −0.0886 
                 0.1906 
                 −0.2777 
                 0.2837 
                 −0.2167 
                 0.1131 
                 −0.0327 
                 0.0033 
                 0.0002 
               
               
                 S7 
                 −10.152 
                 0.028 
                 −0.4038 
                 1.2639 
                 −2.2626 
                 2.4845 
                 −1.6998 
                 0.7029 
                 −0.16 
                 0.0153 
               
               
                 S8 
                 1.7534 
                 −0.0643 
                 0.1117 
                 −0.3935 
                 0.7438 
                 −0.8306 
                 0.565 
                 −0.2306 
                 0.0519 
                 −0.005 
               
               
                 S9 
                 −44.62 
                 0.0891 
                 −0.1333 
                 0.115 
                 −0.0807 
                 0.043 
                 −0.017 
                 0.0044 
                 −0.0006 
                   4E−05 
               
               
                 S10 
                 −4.9001 
                 0.0976 
                 −0.137 
                 0.0999 
                 −0.0465 
                 0.0132 
                 −0.0022 
                 0.0002 
                 −1E−05 
                   2E−07 
               
               
                 S11 
                 −13.159 
                 0.0954 
                 −0.1535 
                 0.1202 
                 −0.0703 
                 0.0264 
                 −0.006 
                 0.0008 
                 −6E−05 
                   2E−06 
               
               
                 S12 
                 0.7792 
                 −0.0211 
                 −0.0288 
                 0.0188 
                 −0.0093 
                 0.003 
                 −0.0006 
                   6E−05 
                 −4E−06 
                   9E−08 
               
               
                 S13 
                 −0.8786 
                 −0.3003 
                 0.0918 
                 −0.0015 
                 −0.0073 
                 0.0023 
                 −0.0004 
                   3E−05 
                 −1E−06 
                   3E−08 
               
               
                 S14 
                 −1.3086 
                 −0.2504 
                 0.1203 
                 −0.0427 
                 0.0114 
                 −0.0021 
                 0.0003 
                 −2E−05 
                   9E−07 
                 −2E−08 
               
               
                   
               
            
           
         
       
     
     Eleventh Example 
       FIG.  21    is a view illustrating an eleventh example of an optical imaging system, and  FIG.  22    illustrates aberration curves of the optical imaging system of  FIG.  21   . 
     An optical imaging system  11  includes a first lens  1011 , a second lens  2011 , a third lens  3011 , a fourth lens  4011 , a fifth lens  5011 , a sixth lens  6011 , and a seventh lens  7011 . 
     The first lens  1011  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2011  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3011  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4011  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5011  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6011  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6011 . The seventh lens  7011  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7011 , and one inflection point is formed on the image-side surface of the seventh lens  7011 . 
     The optical imaging system  11  further includes a stop, a filter  8011 , and an image sensor  9011 . The stop is disposed between the second lens  2011  and the third lens  3011  to adjust an amount of light incident on the image sensor  9011 . The filter  8011  is disposed between the seventh lens  7011  and the image sensor  9011  to block infrared rays. The image sensor  9011  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  21   , the stop is disposed at a distance of 1.205 mm from the object-side surface of the first lens  1011  toward the imaging plane of the optical imaging system  11 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 11 listed in Table 59 that appears later in this application. 
     Table 21 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  21   , and Table 22 below shows aspherical surface coefficients of the lenses of  FIG.  21   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 21 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.34218008 
                 0.35 
                 1.546 
                 56.114 
                 1.570 
               
               
                 S2 
                 Lens 
                 2.46082267 
                 0.130273 
                   
                   
                 1.582 
               
               
                 S3 
                 Second 
                 2.30906902 
                 0.7 
                 1.546 
                 56.114 
                 1.578 
               
               
                 S4 
                 Lens 
                 38.8335574 
                 0.025 
                   
                   
                 1.553 
               
               
                 S5 (Stop) 
                 Third 
                 7.6526629 
                 0.2529802 
                 1.679 
                 19.236 
                 1.474 
               
               
                 S6 
                 Lens 
                 3.32721743 
                 0.5047159 
                   
                   
                 1.325 
               
               
                 S7 
                 Fourth 
                 5.67437537 
                 0.3466492 
                 1.679 
                 19.236 
                 1.461 
               
               
                 S8 
                 Lens 
                 6.58110754 
                 0.40646 
                   
                   
                 1.563 
               
               
                 S9 
                 Fifth 
                 4.79255093 
                 0.35 
                 1.546 
                 56.114 
                 1.772 
               
               
                 S10 
                 Lens 
                 10.114446 
                 0.5278215 
                   
                   
                 2.209 
               
               
                 S11 
                 Sixth 
                 6.16226916 
                 0.43 
                 1.679 
                 19.236 
                 2.238 
               
               
                 S12 
                 Lens 
                 3.92995117 
                 0.2624604 
                   
                   
                 2.557 
               
               
                 S13 
                 Seventh 
                 1.96658005 
                 0.5643968 
                 1.546 
                 56.114 
                 3.026 
               
               
                 S14 
                 Lens 
                 1.49045699 
                 0.2268426 
                   
                   
                 3.262 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.518 
                 64.197 
                 3.641 
               
               
                 S16 
                   
                 Infinity 
                 0.7973487 
                   
                   
                 3.681 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.015 
                   
                   
                 4.171 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 22 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1 
                 −0.0146 
                 0.01 
                 −0.0522 
                 0.0643 
                 −0.0468 
                 0.0217 
                 −0.0061 
                 0.0009 
                 −6E−05 
               
               
                 S2 
                 −9.9316 
                 0.0529 
                 −0.0805 
                 0.0187 
                 0.0015 
                 0.0183 
                 −0.0206 
                 0.0089 
                 −0.0018 
                 0.0001 
               
               
                 S3 
                 −0.3035 
                 −0.0312 
                 0.1094 
                 −0.2703 
                 0.3068 
                 −0.1783 
                 0.0505 
                 −0.0026 
                 −0.0019 
                 0.0003 
               
               
                 S4 
                 42.587 
                 −0.14 
                 0.5905 
                 −1.3419 
                 1.845 
                 −1.6056 
                 0.8858 
                 −0.299 
                 0.0561 
                 −0.0045 
               
               
                 S5 
                 14.878 
                 −0.1698 
                 0.5798 
                 −1.2212 
                 1.6455 
                 −1.4398 
                 0.807 
                 −0.2778 
                 0.0533 
                 −0.0044 
               
               
                 S6 
                 2.4782 
                 −0.0974 
                 0.3302 
                 −0.8477 
                 1.4713 
                 −1.6606 
                 1.1916 
                 −0.5238 
                 0.1288 
                 −0.0136 
               
               
                 S7 
                 −10.89 
                 −0.0126 
                 −0.1352 
                 0.3555 
                 −0.5088 
                 0.426 
                 −0.2043 
                 0.0479 
                 −0.0019 
                 −0.0008 
               
               
                 S8 
                 2.4559 
                 −0.0438 
                 −0.0219 
                 −0.0159 
                 0.1351 
                 −0.2288 
                 0.1952 
                 −0.0929 
                 0.0235 
                 −0.0025 
               
               
                 S9 
                 −44.519 
                 0.0902 
                 −0.1408 
                 0.1256 
                 −0.0754 
                 0.0253 
                 −0.0032 
                 −0.0008 
                 0.0003 
                 −3E−05 
               
               
                 S10 
                 2.7864 
                 0.0708 
                 −0.1198 
                 0.1033 
                 −0.057 
                 0.0193 
                 −0.004 
                 0.0005 
                 −3E−05 
                   9E−07 
               
               
                 S11 
                 −17.823 
                 0.0653 
                 −0.1084 
                 0.075 
                 −0.0394 
                 0.0131 
                 −0.0026 
                 0.0003 
                 −2E−05 
                   5E−07 
               
               
                 S12 
                 0.5903 
                 −0.0273 
                 −0.0096 
                 0.0039 
                 −0.0025 
                 0.001 
                 −0.0002 
                   2E−05 
                 −1E−06 
                   3E−08 
               
               
                 S13 
                 −0.8439 
                 −0.2851 
                 0.1057 
                 −0.0237 
                 0.0034 
                 −0.0003 
                 5E−07 
                   2E−06 
                 −1E−07 
                   4E−09 
               
               
                 S14 
                 −1.3672 
                 −0.238 
                 0.119 
                 −0.0473 
                 0.0138 
                 −0.0027 
                 0.0003 
                 −3E−05 
                   1E−06 
                 −2E−08 
               
               
                   
               
            
           
         
       
     
     Twelfth Example 
       FIG.  23    is a view illustrating a twelfth example of an optical imaging system, and  FIG.  24    illustrates aberration curves of the optical imaging system of  FIG.  23   . 
     An optical imaging system  12  includes a first lens  1012 , a second lens  2012 , a third lens  3012 , a fourth lens  4012 , a fifth lens  5012 , a sixth lens  6012 , and a seventh lens  7012 . 
     The first lens  1012  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2012  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3012  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4012  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5012  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6012  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6012 . The seventh lens  7012  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7012 . 
     The optical imaging system  12  further includes a stop, a filter  8012 , and an image sensor  9012 . The stop is disposed in front of the first lens  1012  to adjust an amount of light incident on the image sensor  9012 . The filter  8012  is disposed between the seventh lens  7012  and the image sensor  9012  to block infrared rays. The image sensor  9012  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  23   , the stop is disposed at a distance of 0.250 mm from the object-side surface of the first lens  1012  toward the imaging plane of the optical imaging system  12 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 12 listed in Table 59 that appears later in this application. 
     Table 23 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  23   , and Table 24 below shows aspherical surface coefficients of the lenses of  FIG.  23   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 23 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 (Stop) 
                 First 
                 1.7211 
                 0.6349 
                 1.544 
                 56.114 
                 1.100 
               
               
                 S2 
                 Lens 
                 11.4571 
                 0.1212 
                   
                   
                 1.071 
               
               
                 S3 
                 Second 
                 119.1721 
                 0.2033 
                 1.661 
                 20.353 
                 1.057 
               
               
                 S4 
                 Lens 
                 4.4758 
                 0.0843 
                   
                   
                 1.043 
               
               
                 S5  
                 Third 
                 4.5258 
                 0.3109 
                 1.544 
                 56.114 
                 1.051 
               
               
                 S6 
                 Lens 
                 20.6082 
                 0.2158 
                   
                   
                 1.015 
               
               
                 S7 
                 Fourth 
                 13.2152 
                 0.2369 
                 1.544 
                 56.114 
                 1.019 
               
               
                 S8 
                 Lens 
                 16.2733 
                 0.2103 
                   
                   
                 1.070 
               
               
                 S9 
                 Fifth 
                 −6.5732 
                 0.4119 
                 1.651 
                 21.494 
                 1.076 
               
               
                 S10 
                 Lens 
                 −10.4553 
                 0.3710 
                   
                   
                 1.320 
               
               
                 S11 
                 Sixth 
                 3.4779 
                 0.6318 
                 1.544 
                 56.114 
                 1.556 
               
               
                 S12 
                 Lens 
                 3.1994 
                 0.2672 
                   
                   
                 2.337 
               
               
                 S13 
                 Seventh 
                 2.8804 
                 0.5060 
                 1.544 
                 56.114 
                 2.489 
               
               
                 S14 
                 Lens 
                 1.7054 
                 0.1384 
                   
                   
                 2.666 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                   
                   
                 3.102 
               
               
                 S16 
                   
                 Infinity 
                 0.5794 
                   
                   
                 3.177 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0106 
                   
                   
                 3.529 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 24 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 0.0432 
                 −0.0088 
                 0.0131 
                 −0.0627 
                 0.1199 
                 −0.1345 
                 0.077 
                 −0.018 
                 −0.0004 
               
               
                 S2 
                 −26.097 
                 −0.0562 
                 0.051 
                 −0.0514 
                 0.0595 
                 −0.0683 
                 0.0462 
                 −0.0139 
                 −7E−05 
               
               
                 S3 
                 −99 
                 −0.1283 
                 0.1953 
                 −0.2779 
                 0.5135 
                 −0.8812 
                 0.9662 
                 −0.5723 
                 0.1395 
               
               
                 S4 
                 −16.567 
                 −0.0971 
                 0.1552 
                 −0.3608 
                 0.985 
                 −2.059 
                 2.5647 
                 −1.6683 
                 0.4378 
               
               
                 S5 
                 −1.6774 
                 −0.0377 
                 0.065 
                 −0.4515 
                 1.687 
                 −3.5163 
                 4.2391 
                 −2.6607 
                 0.6752 
               
               
                 S6 
                 57.913 
                 −0.0559 
                 0.0533 
                 −0.341 
                 1.3373 
                 −2.8539 
                 3.4811 
                 −2.2114 
                 0.5781 
               
               
                 S7 
                 −66.305 
                 −0.1749 
                 −0.0635 
                 0.0963 
                 −0.2061 
                 0.5819 
                 −0.9 
                 0.6874 
                 −0.1979 
               
               
                 S8 
                 19.549 
                 −0.1228 
                 −0.0686 
                 0.0207 
                 0.1647 
                 −0.2695 
                 0.1725 
                 −0.0616 
                 0.0161 
               
               
                 S9 
                 29.709 
                 −0.0709 
                 0.0826 
                 −0.3062 
                 0.6009 
                 −0.6459 
                 0.3344 
                 −0.0761 
                 0 
               
               
                 S10 
                 −31.338 
                 −0.1255 
                 0.1076 
                 −0.1494 
                 0.1908 
                 −0.1423 
                 0.0506 
                 −0.0065 
                 0 
               
               
                 S11 
                 −46.453 
                 0.0038 
                 −0.1455 
                 0.1534 
                 −0.126 
                 0.0705 
                 −0.0225 
                 0.0029 
                 0 
               
               
                 S12 
                 −31.504 
                 0.0093 
                 −0.0326 
                 0.0149 
                 −0.0033 
                 0.0003 
                 −1E−05 
                 −7E−07 
                 0 
               
               
                 S13 
                 −0.5233 
                 −0.2947 
                 0.1709 
                 −0.0627 
                 0.0154 
                 −0.0025 
                 0.0003 
                 −1E−05 
                   3E−07 
               
               
                 S14 
                 −0.8257 
                 −0.2584 
                 0.1353 
                 −0.0565 
                 0.0166 
                 −0.0032 
                 0.0004 
                 −3E−05 
                   7E−07 
               
               
                   
               
            
           
         
       
     
     Thirteenth Example 
       FIG.  25    is a view illustrating a thirteenth example of an optical imaging system, and  FIG.  26    illustrates aberration curves of the optical imaging system of  FIG.  25   . 
     An optical imaging system  13  includes a first lens  1013 , a second lens  2013 , a third lens  3013 , a fourth lens  4013 , a fifth lens  5013 , a sixth lens  6013 , and a seventh lens  7013 . 
     The first lens  1013  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2013  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3013  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4013  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5013  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6013  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6013 . The seventh lens  7013  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7013 , and one inflection point is formed on the image-side surface of the seventh lens  7013 . 
     The optical imaging system  13  further includes a stop, a filter  8013 , and an image sensor  9013 . The stop is disposed in front of the first lens  1013  to adjust an amount of light incident on the image sensor  9013 . The filter  8013  is disposed between the seventh lens  7013  and the image sensor  9013  to block infrared rays. The image sensor  9013  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  25   , the stop is disposed at a distance of 0.200 mm from the object-side surface of the first lens  1013  toward the imaging plane of the optical imaging system  13 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 13 listed in Table 59 that appears later in this application. 
     Table 25 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  25   , and Table 26 below shows aspherical surface coefficients of the lenses of  FIG.  25   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 25 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 (Stop) 
                 First 
                 2.0468 
                 0.6797 
                 1.544 
                 56.114 
                 1.100 
               
               
                 S2 
                 Lens 
                 15.4382 
                 0.1358 
                   
                   
                 1.127 
               
               
                 S3 
                 Second 
                 5.7788 
                 0.2300 
                 1.661 
                 20.353 
                 1.142 
               
               
                 S4 
                 Lens 
                 2.6751 
                 0.2609 
                   
                   
                 1.153 
               
               
                 S5 
                 Third 
                 4.0817 
                 0.2952 
                 1.544 
                 56.114 
                 1.246 
               
               
                 S6 
                 Lens 
                 7.3687 
                 0.3995 
                   
                   
                 1.258 
               
               
                 S7 
                 Fourth 
                 7.0190 
                 0.3141 
                 1.544 
                 56.114 
                 1.340 
               
               
                 S8 
                 Lens 
                 7.7267 
                 0.2822 
                   
                   
                 1.388 
               
               
                 S9 
                 Fifth 
                 -9.0899 
                 0.3555 
                 1.661 
                 20.353 
                 1.405 
               
               
                 S10 
                 Lens 
                 -9.9293 
                 0.1000 
                   
                   
                 1.576 
               
               
                 S11 
                 Sixth 
                 3.0002 
                 0.6701 
                 1.544 
                 56.114 
                 1.700 
               
               
                 S12 
                 Lens 
                 3.7492 
                 0.3200 
                   
                   
                 2.316 
               
               
                 S13 
                 Seventh 
                 2.9879 
                 0.6382 
                 1.535 
                 55.712 
                 2.566 
               
               
                 S14 
                 Lens 
                 1.6763 
                 0.1830 
                   
                   
                 2.822 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                   
                   
                 2.988 
               
               
                 S16 
                   
                 Infinity 
                 0.5699 
                   
                   
                 3.045 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0084 
                   
                   
                 3.298 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 26 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 0.1134 
                 −0.0041 
                 0.0058 
                 −0.0209 
                 0.0313 
                 −0.0267 
                 0.0115 
                 −0.0022 
                   4E−05 
               
               
                 S2 
                 −31.971 
                 −0.0343 
                 0.0186 
                 0.018 
                 −0.0672 
                 0.0895 
                 −0.0703 
                 0.0307 
                 −0.0057 
               
               
                 S3 
                 −61.479 
                 −0.0628 
                 0.0273 
                 0.0375 
                 −0.0593 
                 0.0197 
                 0.0233 
                 −0.0229 
                 0.0061 
               
               
                 S4 
                 −5.9901 
                 −0.0361 
                 0.0057 
                 0.1204 
                 −0.3118 
                 0.4572 
                 −0.3962 
                 0.1898 
                 −0.0382 
               
               
                 S5 
                 0.4276 
                 −0.01 
                 −0.0036 
                 −0.0725 
                 0.164 
                 −0.1983 
                 0.1346 
                 −0.041 
                 0.0037 
               
               
                 S6 
                 −16.707 
                 −0.0183 
                 −0.0111 
                 0.0191 
                 −0.1026 
                 0.1931 
                 −0.1846 
                 0.0944 
                 −0.0194 
               
               
                 S7 
                 −17.469 
                 −0.087 
                 0.0448 
                 −0.1275 
                 0.1878 
                 −0.176 
                 0.0891 
                 −0.0173 
                 0.0002 
               
               
                 S8 
                 −45.166 
                 −0.0908 
                 0.0709 
                 −0.1666 
                 0.2236 
                 −0.2004 
                 0.1091 
                 −0.0324 
                 0.0042 
               
               
                 S9 
                 9.4915 
                 −0.0528 
                 0.0726 
                 −0.1573 
                 0.1702 
                 −0.1138 
                 0.0418 
                 −0.0065 
                 0 
               
               
                 S10 
                 27.883 
                 −0.0964 
                 0.0215 
                 −0.01 
                 0.0057 
                 −0.0007 
                 −0.0003 
                   7E−05 
                 0 
               
               
                 S11 
                 −18.4 
                 0.0175 
                 −0.105 
                 0.0871 
                 −0.0593 
                 0.0265 
                 −0.0067 
                 0.0007 
                 0 
               
               
                 S12 
                 −27.836 
                 0.0419 
                 −0.0472 
                 0.0168 
                 −0.0037 
                 0.0005 
                 −4E−05 
                   1E−06 
                 0 
               
               
                 S13 
                 −0.521 
                 −0.2204 
                 0.0759 
                 −0.0132 
                 0.0012 
                 −4E−05 
                 −3E−06 
                   3E−07 
                 −7E−09 
               
               
                 S14 
                 −0.8591 
                 −0.2015 
                 0.0852 
                 −0.0311 
                 0.0079 
                 −0.0012 
                 0.0001 
                 −6E−06 
                   1E−07 
               
               
                   
               
            
           
         
       
     
     Fourteenth Example 
       FIG.  27    is a view illustrating a fourteenth example of an optical imaging system, and  FIG.  28    illustrates aberration curves of the optical imaging system of  FIG.  27   . 
     An optical imaging system  14  includes a first lens  1014 , a second lens  2014 , a third lens  3014 , a fourth lens  4014 , a fifth lens  5014 , a sixth lens  6014 , and a seventh lens  7014 . 
     The first lens  1014  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2014  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3014  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4014  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5014  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6014  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6014 . The seventh lens  7014  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7014 . 
     The optical imaging system  14  further includes a stop, a filter  8014 , and an image sensor  9014 . The stop is disposed between the first lens  1014  and the second lens  2014  to adjust an amount of light incident on the image sensor  9014 . The filter  8014  is disposed between the seventh lens  7014  and the image sensor  9014  to block infrared rays. The image sensor  9014  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  27   , the stop is disposed at a distance of 0.768 mm from the object-side surface of the first lens  1014  toward the imaging plane of the optical imaging system  14 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 14 listed in Table 59 that appears later in this application. 
     Table 27 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  27   , and Table 28 below shows aspherical surface coefficients of the lenses of  FIG.  27   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 27 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.9548 
                   0.7678 
                 1.544 
                 56.114 
                 1.300 
               
               
                 S2 (Stop) 
                 Lens 
                 7.8859 
                   0.1005 
                   
                   
                 1.209 
               
               
                 S3 
                 Second 
                 4.8288 
                   0.2366 
                 1.661 
                 20.353 
                 1.213 
               
               
                 S4 
                 Lens 
                 2.8662 
                   0.4493 
                   
                   
                 1.265 
               
               
                 S5 
                 Third 
                 8.8655 
                   0.4845 
                 1.544 
                 56.114 
                 1.268 
               
               
                 S6 
                 Lens 
                 16.6746 
                   0.2752 
                   
                   
                 1.403 
               
               
                 S7 
                 Fourth 
                 10.6715 
                   0.3698 
                 1.544 
                 56.114 
                 1.456 
               
               
                 S8 
                 Lens 
                 22.4472 
                   0.2801 
                   
                   
                 1.642 
               
               
                 S9 
                 Fifth 
                 −4.3816 
                   0.2711 
                 1.661 
                 20.353 
                 1.769 
               
               
                 S10 
                 Lens 
                 −4.3828 
                   0.1050 
                   
                   
                 2.019 
               
               
                 S11 
                 Sixth 
                 7.9522 
                   0.5677 
                 1.544 
                 56.114 
                 2.357 
               
               
                 S12 
                 Lens 
                 −3.0368 
                   0.4648 
                   
                   
                 2.647 
               
               
                 S13 
                 Seventh 
                 −7.5079 
                   0.3200 
                 1.544 
                 56.114 
                 3.123 
               
               
                 S14 
                 Lens 
                 1.7962 
                   0.1891 
                   
                   
                 3.381 
               
               
                 S15 
                 Filter 
                 Infinity 
                   0.1100 
                   
                   
                 3.605 
               
               
                 S16 
                   
                 Infinity 
                   0.6749 
                   
                   
                 3.635 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 −0.0163 
                   
                   
                 3.930 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 28 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.8127 
                 0.0142 
                 0.0092 
                 −0.0157 
                 0.0206 
                 −0.0137 
                 0.0037 
                 0.0003 
                 −0.0003 
                 0 
               
               
                 S2 
                 5.6538 
                 −0.0472 
                 0.0448 
                 −0.0321 
                 0.0158 
                 −0.0059 
                 0.001 
                 0.0004 
                 −0.0002 
                 0 
               
               
                 S3 
                 −10.668 
                 −0.0824 
                 0.0792 
                 −0.0266 
                 −0.0158 
                 0.0274 
                 −0.0153 
                 0.0039 
                 −0.0004 
                 0 
               
               
                 S4 
                 −0.1737 
                 −0.0508 
                 0.0303 
                 0.1129 
                 −0.3063 
                 0.4131 
                 −0.3101 
                 0.1243 
                 −0.0205 
                 0 
               
               
                 S5 
                 0 
                 −0.0377 
                 0.0156 
                 −0.0597 
                 0.0773 
                 −0.0624 
                 0.0268 
                 −0.0045 
                   3E−05 
                 0 
               
               
                 S6 
                 0 
                 −0.0706 
                 0.0482 
                 −0.0575 
                 −0.0009 
                 0.0419 
                 −0.0392 
                 0.0166 
                 −0.0028 
                 0 
               
               
                 S7 
                 46.114 
                 −0.1374 
                 0.0451 
                 0.0051 
                 −0.0298 
                 0.0052 
                 0.0076 
                 −0.0027 
                  0.0001 
                 0 
               
               
                 S8 
                 99 
                 −0.1096 
                 −0.0451 
                 0.1394 
                 −0.1519 
                 0.0948 
                 −0.0333 
                 0.006 
                 −0.0004 
                 0 
               
               
                 S9 
                 −99 
                 −0.0865 
                 0.1152 
                 −0.1605 
                 0.1182 
                 −0.0466 
                 0.0099 
                 −0.0011 
                   5E−05 
                 0 
               
               
                 S10 
                 −0.2245 
                 0.0593 
                 −0.0542 
                 0.0004 
                 0.0119 
                 −0.0044 
                 0.0007 
                 −5E−05 
                   1E−06 
                 0 
               
               
                 S11 
                 −99 
                 0.1031 
                 −0.1094 
                 0.0579 
                 −0.0216 
                 0.005 
                 −0.0007 
                   4E−05 
                 −1E−06 
                 0 
               
               
                 S12 
                 −4.7232 
                 0.1521 
                 −0.1221 
                 0.0592 
                 −0.0202 
                 0.0046 
                 −0.0007 
                   5E−05 
                 −2E−06 
                 0 
               
               
                 S13 
                 −1.1986 
                 −0.0323 
                 −0.0724 
                 0.0507 
                 −0.0141 
                 0.0021 
                 −0.0002 
                   8E−06 
                 −2E−07 
                 0 
               
               
                 S14 
                 −1.2644 
                 −0.1675 
                 0.0662 
                 −0.0204 
                 0.0047 
                 −0.0007 
                 8E−05 
                 −5E−06 
                   2E−07 
                 −2E−09 
               
               
                   
               
            
           
         
       
     
     Fifteenth Example 
       FIG.  29    is a view illustrating a fifteenth example of an optical imaging system, and  FIG.  30    illustrates aberration curves of the optical imaging system of  FIG.  29   . 
     An optical imaging system  15  includes a first lens  1015 , a second lens  2015 , a third lens  3015 , a fourth lens  4015 , a fifth lens  5015 , a sixth lens  6015 , and a seventh lens  7015 . 
     The first lens  1015  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2015  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3015  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4015  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. The fifth lens  5015  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6015  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6015 . The seventh lens  7015  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7015 . 
     The optical imaging system  15  further includes a stop, a filter  8015 , and an image sensor  9015 . The stop is disposed between the first lens  1015  and the second lens  2015  to adjust an amount of light incident on the image sensor  9015 . The filter  8015  is disposed between the seventh lens  7015  and the image sensor  9015  to block infrared rays. The image sensor  9015  forms an imaging plane on which an image of a subject is formed. 
     Table 29 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  29   , and Table 30 below shows aspherical surface coefficients of the lenses of  FIG.  29   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 29 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac-  
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.7773 
                   0.6238 
                 1.544 
                 56.114 
                 1.217 
               
               
                 S2 (Stop) 
                 Lens 
                 6.4566 
                   0.1000 
                   
                   
                 1.158 
               
               
                 S3 
                 Second 
                 4.4103 
                   0.2363 
                 1.661 
                 20.353 
                 1.157 
               
               
                 S4 
                 Lens 
                 2.6584 
                   0.4138 
                   
                   
                 1.184 
               
               
                 S5 
                 Third 
                 6.5879 
                   0.4640 
                 1.544 
                 56.114 
                 1.177 
               
               
                 S6 
                 Lens 
                 10.5233 
                   0.1777 
                   
                   
                 1.282 
               
               
                 S7 
                 Fourth 
                 13.4749 
                   0.3627 
                 1.544 
                 56.114 
                 1.306 
               
               
                 S8 
                 Lens 
                 −20.2300 
                   0.2325 
                   
                   
                 1.444 
               
               
                 S9 
                 Fifth 
                 −3.1831 
                   0.2000 
                 1.661 
                 20.353 
                 1.456 
               
               
                 S10 
                 Lens 
                 −4.2151 
                   0.1000 
                   
                   
                 1.625 
               
               
                 S11 
                 Sixth 
                 6.7646 
                   0.6089 
                 1.544 
                 56.114 
                 2.207 
               
               
                 S12 
                 Lens 
                 −2.8792 
                   0.4211 
                   
                   
                 2.145 
               
               
                 S13 
                 Seventh 
                 −6.9958 
                   0.3200 
                 1.544 
                 56.114 
                 2.280 
               
               
                 S14 
                 Lens 
                 1.6934 
                   0.1485 
                   
                   
                 3.165 
               
               
                 S15 
                 Filter 
                 Infinity 
                   0.1100 
                   
                   
                 2.850 
               
               
                 S16 
                   
                 Infinity 
                   0.7007 
                   
                   
                 2.888 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 −0.0200 
                   
                   
                 3.276 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 30 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.5383 
                 0.0108 
                 0.0209 
                 −0.0477 
                 0.0729 
                 −0.06 
                 0.0243 
                 −0.0027 
                 −0.0007 
                 0 
               
               
                 S2 
                 5.8135 
                 −0.0459 
                 0.0189 
                 0.0248 
                 −0.0559 
                 0.0486 
                 −0.026 
                 0.0094 
                 −0.0019 
                 0 
               
               
                 S3 
                 −10.011 
                 −0.085 
                 0.066 
                 0.02 
                 −0.0808 
                 0.0756 
                 −0.0332 
                 0.0069 
                 −0.0006 
                 0 
               
               
                 S4 
                 −0.1875 
                 −0.0544 
                 0.0068 
                 0.26 
                 −0.6655 
                 0.9329 
                 −0.7519 
                 0.3313 
                 −0.061 
                 0 
               
               
                 S5 
                 0 
                 −0.0569 
                 0.0063 
                 −0.0275 
                 −0.0046 
                 0.0401 
                 −0.0485 
                 0.0264 
                 −0.0053 
                 0 
               
               
                 S6 
                 0 
                 −0.0775 
                 −0.0976 
                 0.271 
                 −0.5329 
                 0.5567 
                 −0.3323 
                 0.1128 
                 −0.0176 
                 0 
               
               
                 S7 
                 47.015 
                 −0.0863 
                 −0.1024 
                 0.2298 
                 −0.2721 
                 0.1091 
                 0.0392 
                 −0.0378 
                 0.0065 
                 0 
               
               
                 S8 
                 −99 
                 −0.0603 
                 −0.0348 
                 0.057 
                 −0.0468 
                 0.0241 
                 −0.007 
                 0.001 
                 −6E−05 
                 0 
               
               
                 S9 
                 −99 
                 −0.2672 
                 0.6153 
                 −0.9745 
                 0.9138 
                 −0.5236 
                 0.1786 
                 −0.0332 
                 0.0026 
                 0 
               
               
                 S10 
                 −0.0701 
                 0.0268 
                 −0.0377 
                 −0.0253 
                 0.035 
                 −0.0133 
                 0.0024 
                 −0.0002 
                   7E−06 
                 0 
               
               
                 S11 
                 −97.721 
                 0.1556 
                 −0.2109 
                 0.1424 
                 −0.0678 
                 0.02 
                 −0.0033 
                 0.0003 
                 −1E−05 
                 0 
               
               
                 S12 
                 −1.5998 
                 0.2298 
                 −0.1811 
                 0.0905 
                 −0.0342 
                 0.0088 
                 −0.0014 
                 0.0001 
                 −4E−06 
                 0 
               
               
                 S13 
                 4.8341 
                 −0.1142 
                 −0.0024 
                 0.0306 
                 −0.013 
                 0.0027 
                 −0.0003 
                   2E−05 
                 −5E−07 
                 0 
               
               
                 S14 
                 −1.0993 
                 −0.2618 
                 0.1449 
                 −0.0599 
                 0.0171 
                 −0.0032 
                 0.0004 
                 −3E−05 
                   1E−06 
                 −2E−08 
               
               
                   
               
            
           
         
       
     
     Sixteenth Example 
       FIG.  31    is a view illustrating a sixteenth example of an optical imaging system, and  FIG.  32    illustrates aberration curves of the optical imaging system of  FIG.  31   . 
     An optical imaging system  16  includes a first lens  1016 , a second lens  2016 , a third lens  3016 , a fourth lens  4016 , a fifth lens  5016 , a sixth lens  6016 , and a seventh lens  7016 . 
     The first lens  1016  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2016  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3016  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4016  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5016  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6016  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6016 . The seventh lens  7016  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, no inflection point is formed on the object-side surface of the seventh lens  7016 , and one inflection point is formed on the image-side surface of the seventh lens  7016 . 
     The optical imaging system  16  further includes a stop, a filter  8016 , and an image sensor  9016 . The stop is disposed between the first lens  1016  and the second lens  2016  to adjust an amount of light incident on the image sensor  9016 . The filter  8016  is disposed between the seventh lens  7016  and the image sensor  9016  to block infrared rays. The image sensor  9016  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  31   , the stop is disposed at a distance of 0.641 mm from the object-side surface of the first lens  1016  toward the imaging plane of the optical imaging system  16 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 16 listed in Table 59 that appears later in this application. 
     Table 31 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  31   , and Table 32 below shows aspherical surface coefficients of the lenses of  FIG.  31   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 31 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.7977 
                 0.6409 
                 1.544 
                 56.114 
                 1.270 
               
               
                 S2 (Stop) 
                 Lens 
                 3.7422 
                 0.1191 
                   
                   
                 1.211 
               
               
                 S3 
                 Second 
                 3.0573 
                 0.2200 
                 1.661 
                 20.353 
                 1.190 
               
               
                 S4 
                 Lens 
                 2.7951 
                 0.3931 
                   
                   
                 1.130 
               
               
                 S5 
                 Third 
                 10.6215 
                 0.4640 
                 1.544 
                 56.114 
                 1.153 
               
               
                 S6 
                 Lens 
                 9.0266 
                 0.1000 
                   
                   
                 1.289 
               
               
                 S7 
                 Fourth 
                 7.9876 
                 0.3621 
                 1.544 
                 56.114 
                 1.328 
               
               
                 S8 
                 Lens 
                 138.7678 
                 0.2334 
                   
                   
                 1.454 
               
               
                 S9 
                 Fifth 
                 −4.1765 
                 0.2198 
                 1.661 
                 20.353 
                 1.518 
               
               
                 S10 
                 Lens 
                 −4.1394 
                 0.1000 
                   
                   
                 1.656 
               
               
                 S11 
                 Sixth 
                 4.6134 
                 0.6089 
                 1.544 
                 56.114 
                 2.000 
               
               
                 S12 
                 Lens 
                 −3.5921 
                 0.4726 
                   
                   
                 2.038 
               
               
                 S13 
                 Seventh 
                 −7.0016 
                 0.3200 
                 1.544 
                 56.114 
                 2.049 
               
               
                 S14 
                 Lens 
                 1.6938 
                 0.1107 
                   
                   
                 2.685 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                   
                   
                 2.942 
               
               
                 S16 
                   
                 Infinity 
                 0.5300 
                   
                   
                 3.008 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0200 
                   
                   
                 3.292 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 32 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.812 
                 0.0136 
                 0.0311 
                 −0.0769 
                 0.1226 
                 −0.1099 
                 0.0531 
                 −0.0116 
                 0.0005 
                 0 
               
               
                 S2 
                 −6.6917 
                 −0.0631 
                 0.0174 
                 0.0714 
                 −0.1648 
                 0.1763 
                 −0.1086 
                 0.0376 
                 −0.0059 
                 0 
               
               
                 S3 
                 −14.579 
                 −0.0707 
                 0.0068 
                 0.1319 
                 −0.2129 
                 0.173 
                 −0.0715 
                 0.0127 
                 −0.0005 
                 0 
               
               
                 S4 
                 −0.188 
                 −0.0614 
                 −0.0138 
                 0.3338 
                 −0.7392 
                 0.9251 
                 −0.6781 
                 0.276 
                 −0.0477 
                 0 
               
               
                 S5 
                 0 
                 −0.0572 
                 0.0435 
                 −0.1733 
                 0.2724 
                 −0.2421 
                 0.0931 
                 −0.0042 
                 −0.0038 
                 0 
               
               
                 S6 
                 0 
                 −0.1356 
                 −0.0309 
                 0.2183 
                 −0.5547 
                 0.6931 
                 −0.486 
                 0.1856 
                 −0.0304 
                 0 
               
               
                 S7 
                 30.023 
                 −0.2107 
                 0.0007 
                 0.1568 
                 −0.2854 
                 0.2586 
                 −0.1154 
                 0.0236 
                 −0.0019 
                 0 
               
               
                 S8 
                 −99 
                 −0.1858 
                 −0.0192 
                 0.2616 
                 −0.4111 
                 0.3392 
                 −0.1538 
                 0.0357 
                 −0.0033 
                 0 
               
               
                 S9 
                 −98.995 
                 −0.2935 
                 0.5043 
                 −0.5157 
                 0.2657 
                 −0.0658 
                 0.0056 
                 0.0005 
                 −8E−05 
                 0 
               
               
                 S10 
                 −0.0701 
                 −0.0775 
                 0.2223 
                 −0.2703 
                 0.1529 
                 −0.0452 
                 0.0073 
                 −0.0006 
                   2E−05 
                 0 
               
               
                 S11 
                 −97.878 
                 0.1479 
                 −0.1956 
                 0.1288 
                 −0.0598 
                 0.0172 
                 −0.0028 
                 0.0002 
                 −8E−06 
                 0 
               
               
                 S12 
                 1.4166 
                 0.1234 
                 −0.1416 
                 0.087 
                 −0.0341 
                 0.0088 
                 −0.0014 
                 0.0001 
                 −4E−06 
                 0 
               
               
                 S13 
                 9.5503 
                 −0.2864 
                 0.1096 
                 0.0149 
                 −0.0214 
                 0.0064 
                 −0.0009 
                   6E−05 
                 −2E−06 
                 0 
               
               
                 S14 
                 −1.2786 
                 −0.3076 
                 0.1777 
                 −0.0626 
                 0.0143 
                 −0.0022 
                 0.0002 
                 −1E−05 
                   5E−07 
                 −7E−09 
               
               
                   
               
            
           
         
       
     
     Seventeenth Example 
       FIG.  33    is a view illustrating a seventeenth example of an optical imaging system, and  FIG.  34    illustrates aberration curves of the optical imaging system of  FIG.  33   . 
     An optical imaging system  17  includes a first lens  1017 , a second lens  2017 , a third lens  3017 , a fourth lens  4017 , a fifth lens  5017 , a sixth lens  6017 , and a seventh lens  7017 . 
     The first lens  1017  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2017  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3017  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4017  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5017  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6017  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6017 . The seventh lens  7017  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7017 , and one inflection point is formed on the image-side surface of the seventh lens  7017 . 
     The optical imaging system  17  further includes a stop, a filter  8017 , and an image sensor  9017 . The stop is disposed between the second lens  2017  and the third lens  3017  to adjust an amount of light incident on the image sensor  9017 . The filter  8017  is disposed between the seventh lens  7017  and the image sensor  9017  to block infrared rays. The image sensor  9017  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  33   , the stop is disposed at a distance of 0.9137 mm from the object-side surface of the first lens  1017  toward the imaging plane of the optical imaging system  17 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 17 listed in Table 59 that appears later in this application. 
     Table 33 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  33   , and Table 34 below shows aspherical surface coefficients of the lenses of  FIG.  33   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 33 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.7485 
                 0.6674 
                 1.547 
                 56.114 
                 1.300 
               
               
                 S2 
                 Lens 
                 7.7065 
                 0.0200 
                   
                   
                 1.229 
               
               
                 S3 
                 Second 
                 1.8213 
                 0.1562 
                 1.660 
                 20.400 
                 1.115 
               
               
                 S4 (Stop) 
                 Lens 
                 1.4314 
                 0.4979 
                   
                   
                 1.000 
               
               
                 S5 
                 Third 
                 4.2378 
                 0.1600 
                 1.660 
                 20.400 
                 0.993 
               
               
                 S6 
                 Lens 
                 3.6200 
                 0.1668 
                   
                   
                 1.033 
               
               
                 S7 
                 Fourth 
                 9.2634 
                 1.0427 
                 1.547 
                 56.114 
                 1.114 
               
               
                 S8 
                 Lens 
                 28.8419 
                 0.2336 
                   
                   
                 1.480 
               
               
                 S9 
                 Fifth 
                 13.9672 
                 0.2922 
                 1.650 
                 21.494 
                 1.522 
               
               
                 S10 
                 Lens 
                 11.4259 
                 0.0356 
                   
                   
                 1.730 
               
               
                 S11 
                 Sixth 
                 5.8246 
                 0.4995 
                 1.650 
                 21.494 
                 1.773 
               
               
                 S12 
                 Lens 
                 6.8164 
                 0.1833 
                   
                   
                 2.172 
               
               
                 S13 
                 Seventh 
                 1.8633 
                 0.5958 
                 1.537 
                 55.711 
                 3.150 
               
               
                 S14 
                 Lens 
                 1.4257 
                 0.2454 
                   
                   
                 3.009 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                   
                   
                 3.214 
               
               
                 S16 
                   
                 Infinity 
                 0.4585 
                   
                   
                 3.253 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0150 
                   
                   
                 3.531 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 34 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.0374 
                 0.0041 
                 0.0102 
                 −0.0274 
                 0.0363 
                 −0.023 
                 0.0071 
                 −0.0007 
                 0 
                 0 
               
               
                 S2 
                 29.499 
                 −0.0579 
                 0.1753 
                 −0.2761 
                 0.2564 
                 −0.1451 
                 0.0461 
                 −0.0064 
                 0 
                 0 
               
               
                 S3 
                 −1.6808 
                 −0.0951 
                 0.1875 
                 −0.1212 
                 −0.0118 
                 0.0698 
                 −0.0436 
                 0.0084 
                 0 
                 0 
               
               
                 S4 
                 −0.1875 
                 −0.0734 
                 −0.0279 
                 0.4656 
                 −0.9504 
                 1.0182 
                 −0.5704 
                 0.132 
                 0 
                 0 
               
               
                 S5 
                 1.3424 
                 −0.1042 
                 0.1034 
                 −0.1017 
                 0.1369 
                 −0.1182 
                 0.0626 
                 −0.014 
                 0 
                 0 
               
               
                 S6 
                 6.3397 
                 −0.1322 
                 0.0914 
                 −0.0544 
                 0.0396 
                 −0.0158 
                 0.0024 
                 −4E−05 
                 0 
                 0 
               
               
                 S7 
                 21.918 
                 −0.0361 
                 0.0211 
                 −0.0154 
                 0.0179 
                 −0.009 
                 0.0019 
                 −0.0001 
                 0 
                 0 
               
               
                 S8 
                 25.736 
                 −0.0408 
                 0.011 
                 −0.0055 
                 0.0031 
                 −0.0008 
                   1E−04 
                 −4E−06 
                 0 
                 0 
               
               
                 S9 
                 1.6857 
                 −0.0998 
                 0.1128 
                 −0.1386 
                 0.0983 
                 −0.0424 
                 0.0105 
                 −0.0012 
                 0 
                 0 
               
               
                 S10 
                 −99 
                 −0.0846 
                 0.0566 
                 −0.0552 
                 0.0277 
                 −0.0068 
                 0.0008 
                 −3E−05 
                 0 
                 0 
               
               
                 S11 
                 0 
                 −0.0205 
                 −0.0335 
                 0.0064 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 S12 
                 0 
                 −0.0019 
                 −0.0483 
                 0.031 
                 −0.0123 
                 0.0029 
                 −0.0004 
                   2E−05 
                 0 
                 0 
               
               
                 S13 
                 −0.9427 
                 −0.2417 
                 0.0607 
                 −0.0015 
                 −0.0024 
                 0.0006 
                 −7E−05 
                   4E−06 
                 −8E−08 
                 0 
               
               
                 S14 
                 −1.0048 
                 −0.2102 
                 0.0796 
                 −0.0236 
                 0.0052 
                 −0.0008 
                   7E−05 
                 −3E−06 
                   7E−08 
                 0 
               
               
                   
               
            
           
         
       
     
     Eighteenth Example 
       FIG.  35    is a view illustrating an eighteenth example of an optical imaging system, and  FIG.  36    illustrates aberration curves of the optical imaging system of  FIG.  35   . 
     An optical imaging system  18  includes a first lens  1018 , a second lens  2018 , a third lens  3018 , a fourth lens  4018 , a fifth lens  5018 , a sixth lens  6018 , and a seventh lens  7018 . 
     The first lens  1018  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2018  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3018  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4018  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. The fifth lens  5018  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. The sixth lens  6018  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6018 . The seventh lens  7018  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7018 , and one inflection point is formed on the image-side surface of the seventh lens  7018 . 
     The optical imaging system  18  further includes a stop, a filter  8018 , and an image sensor  9018 . The stop is disposed between the second lens  2018  and the third lens  3018  to adjust an amount of light incident on the image sensor  9018 . The filter  8018  is disposed between the seventh lens  7018  and the image sensor  9018  to block infrared rays. The image sensor  9018  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  35   , the stop is disposed at a distance of 0.8665 mm from the object-side surface of the first lens  1018  toward the imaging plane of the optical imaging system  18 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 18 listed in Table 59 that appears later in this application. 
     Table 35 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  35   , and Table 36 below shows aspherical surface coefficients of the lenses of  FIG.  35   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 35 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.8575 
                 0.6450 
                 1.547 
                 56.114 
                 1.410 
               
               
                 S2 
                 Lens 
                 7.5625 
                 0.0250 
                   
                   
                 1.373 
               
               
                 S3 
                 Second 
                 2.3869 
                 0.2400 
                 1.660 
                 20.400 
                 1.275 
               
               
                 S4 (Stop) 
                 Lens 
                 1.7513 
                 0.4645 
                   
                   
                 1.130 
               
               
                 S5 
                 Third 
                 4.0476 
                 0.1300 
                 1.660 
                 20.400 
                 1.092 
               
               
                 S6 
                 Lens 
                 3.9656 
                 0.2812 
                   
                   
                 1.124 
               
               
                 S7 
                 Fourth 
                 11.4640 
                 0.6806 
                 1.547 
                 56.114 
                 1.340 
               
               
                 S8 
                 Lens 
                 −165.9873 
                 0.3664 
                   
                   
                 1.596 
               
               
                 S9 
                 Fifth 
                 −83.3972 
                 0.2354 
                 1.650 
                 21.494 
                 1.696 
               
               
                 S10 
                 Lens 
                 312.1902 
                 0.1713 
                   
                   
                 1.903 
               
               
                 S11 
                 Sixth 
                 9.6436 
                 0.8638 
                 1.650 
                 21.494 
                 2.074 
               
               
                 S12 
                 Lens 
                 6.8472 
                 0.1129 
                   
                   
                 2.622 
               
               
                 S13 
                 Seventh 
                 2.1549 
                 0.5985 
                 1.537 
                 55.711 
                 3.411 
               
               
                 S14 
                 Lens 
                 1.5639 
                 0.2730 
                   
                   
                 3.397 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                   
                   
                 3.542 
               
               
                 S16 
                   
                 Infinity 
                 0.5510 
                   
                   
                 3.577 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0150 
                   
                   
                 3.954 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 36 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.0815 
                 0.0055 
                 0.0014 
                 −0.0029 
                 0.0061 
                 −0.0051 
                 0.002 
                 −0.0003 
                 0 
                 0 
               
               
                 S2 
                 25.622 
                 −0.0509 
                 0.133 
                 −0.2101 
                 0.1935 
                 −0.1078 
                 0.0334 
                 −0.0045 
                 0 
                 0 
               
               
                 S3 
                 −1.6604 
                 −0.0775 
                 0.1997 
                 −0.3026 
                 0.2917 
                 −0.1691 
                 0.0543 
                 −0.0074 
                 0 
                 0 
               
               
                 S4 
                 0.011 
                 −0.0397 
                 0.0365 
                 0.0313 
                 −0.0936 
                 0.1109 
                 −0.0595 
                 0.0137 
                 0 
                 0 
               
               
                 S5 
                 0.49 
                 −0.0743 
                 0.0501 
                 −0.0466 
                 0.0606 
                 −0.0386 
                 0.013 
                 −0.0015 
                 0 
                 0 
               
               
                 S6 
                 7.0482 
                 −0.0885 
                 0.0384 
                 −0.0259 
                 0.0308 
                 −0.0159 
                 0.0036 
                 −0.0003 
                 0 
                 0 
               
               
                 S7 
                 21.918 
                 −0.0229 
                 0.0042 
                 −0.0033 
                 0.0044 
                 −0.0002 
                 −0.0006 
                 0.0001 
                 0 
                 0 
               
               
                 S8 
                 25.736 
                 −0.0244 
                 0.007 
                 −0.0107 
                 0.0065 
                 −0.0016 
                 0.0002 
                 −7E−06 
                 0 
                 0 
               
               
                 S9 
                 1.6857 
                 −0.0527 
                 0.078 
                 −0.0871 
                 0.0455 
                 −0.0137 
                 0.0025 
                 −0.0002 
                 0 
                 0 
               
               
                 S10 
                 76.281 
                 −0.0552 
                 0.0643 
                 −0.0583 
                 0.0243 
                 −0.005 
                 0.0005 
                 −2E−05 
                 0 
                 0 
               
               
                 S11 
                 −52.836 
                 0.0115 
                 −0.0347 
                 0.0203 
                 −0.0087 
                 0.0021 
                 −0.0002 
                   1E−05 
                 0 
                 0 
               
               
                 S12 
                 0 
                 −0.0341 
                 0.0013 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 S13 
                 −0.9427 
                 −0.1816 
                 0.0377 
                 −0.0008 
                 −0.001 
                 0.0002 
                 −2E−05 
                   9E−07 
                 −2E−08 
                 0 
               
               
                 S14 
                 −1.0048 
                 −0.1579 
                 0.0494 
                 −0.0121 
                 0.0022 
                 −0.0003 
                   2E−05 
                 −8E−07 
                   1E-08 
                 0 
               
               
                   
               
            
           
         
       
     
     Nineteenth Example 
       FIG.  37    is a view illustrating a nineteenth example of an optical imaging system, and  FIG.  38    illustrates aberration curves of the optical imaging system of  FIG.  37   . 
     An optical imaging system  19  includes a first lens  1019 , a second lens  2019 , a third lens  3019 , a fourth lens  4019 , a fifth lens  5019 , a sixth lens  6019 , and a seventh lens  7019 . 
     The first lens  1019  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2019  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3019  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4019  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5019  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. The sixth lens  6019  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6019 . The seventh lens  7019  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7019 , and one inflection point is formed on the image-side surface of the seventh lens  7019 . 
     The optical imaging system  19  further includes a stop, a filter  8019 , and an image sensor  9019 . The stop is disposed between the second lens  2019  and the third lens  3019  to adjust an amount of light incident on the image sensor  9019 . The filter  8019  is disposed between the seventh lens  7019  and the image sensor  9019  to block infrared rays. The image sensor  9019  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  37   , the stop is disposed at a distance of 0.8997 mm from the object-side surface of the first lens  1019  toward the imaging plane of the optical imaging system  19 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 19 listed in Table 59 that appears later in this application. 
     Table 37 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  37   , and Table 38 below shows aspherical surface coefficients of the lenses of  FIG.  37   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 37 
               
               
                   
               
               
                   
                   
                 Radius 
                   
                 Index 
                   
                   
               
               
                   
                   
                 of 
                 Thick- 
                 of Re- 
                 Abbe 
                 Effective 
               
               
                 Surface 
                   
                 Curva- 
                 ness/ 
                 frac- 
                 Num- 
                 Aperture 
               
               
                 No. 
                 Element 
                 ture 
                 Distance 
                 tion 
                 ber 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.8876 
                 0.6427 
                 1.547 
                 56.114 
                 1.410 
               
               
                 S2 
                 Lens 
                 7.5583 
                 0.0250 
                   
                   
                 1.369 
               
               
                 S3 
                 Second 
                 2.5872 
                 0.2400 
                 1.660 
                 20.400 
                 1.272 
               
               
                 S4 (Stop) 
                 Lens 
                 1.9097 
                 0.4388 
                   
                   
                 1.130 
               
               
                 S5 
                 Third 
                 3.9821 
                 0.1399 
                 1.660 
                 20.400 
                 1.092 
               
               
                 S6 
                 Lens 
                 3.8971 
                 0.2690 
                   
                   
                 1.132 
               
               
                 S7 
                 Fourth 
                 10.2645 
                 0.7282 
                 1.547 
                 56.114 
                 1.352 
               
               
                 S8 
                 Lens 
                 98.7612 
                 0.3664 
                   
                   
                 1.609 
               
               
                 S9 
                 Fifth 
                 -99.1146 
                 0.2354 
                 1.650 
                 21.494 
                 1.696 
               
               
                 S10 
                 Lens 
                 195.9458 
                 0.0598 
                   
                   
                 1.903 
               
               
                 S11 
                 Sixth 
                 8.0269 
                 0.8638 
                 1.650 
                 21.494 
                 2.017 
               
               
                 S12 
                 Lens 
                 7.0025 
                 0.1107 
                   
                   
                 2.570 
               
               
                 S13 
                 Seventh 
                 2.1549 
                 0.6513 
                 1.537 
                 55.711 
                 3.411 
               
               
                 S14 
                 Lens 
                 1.5639 
                 0.2946 
                   
                   
                 3.295 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                   
                   
                 3.521 
               
               
                 S16 
                   
                 Infinity 
                 0.5174 
                   
                   
                 3.558 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.015  
                   
                   
                 3.941 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 38 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.0815 
                 0.0055 
                 0.0014 
                 −0.0029 
                 0.0061 
                 −0.0051 
                 0.002 
                 −0.0003 
                 0 
                 0 
               
               
                 S2 
                 25.622 
                 −0.0509 
                 0.133 
                 −0.2101 
                 0.1935 
                 −0.1078 
                 0.0334 
                 −0.0045 
                 0 
                 0 
               
               
                 S3 
                 −1.7152 
                 −0.0796 
                 0.199 
                 −0.2926 
                 0.2754 
                 −0.1567 
                 0.0498 
                 −0.0068 
                 0 
                 0 
               
               
                 S4 
                 0.011 
                 −0.0397 
                 0.0365 
                 0.0313 
                 −0.0936 
                 0.1109 
                 −0.0595 
                 0.0137 
                 0 
                 0 
               
               
                 S5 
                 0.49 
                 −0.0743 
                 0.0501 
                 −0.0466 
                 0.0606 
                 −0.0386 
                 0.013 
                 −0.0015 
                 0 
                 0 
               
               
                 S6 
                 7.0482 
                 −0.0885 
                 0.0384 
                 −0.0259 
                 0.0308 
                 −0.0159 
                 0.0036 
                 −0.0003 
                 0 
                 0 
               
               
                 S7 
                 21.918 
                 −0.0229 
                 0.0042 
                 −0.0033 
                 0.0044 
                 −0.0002 
                 −0.0006 
                 0.0001 
                 0 
                 0 
               
               
                 S8 
                 25.736 
                 −0.0244 
                 0.007 
                 −0.0107 
                 0.0065 
                 −0.0016 
                 0.0002 
                 −7E−06 
                 0 
                 0 
               
               
                 S9 
                 1.6857 
                 −0.0527 
                 0.078 
                 −0.0871 
                 0.0455 
                 −0.0137 
                 0.0025 
                 −0.0002 
                 0 
                 0 
               
               
                 S10 
                 76.281 
                 −0.0552 
                 0.0643 
                 −0.0583 
                 0.0243 
                 −0.005 
                 0.0005 
                 −2E−05 
                 0 
                 0 
               
               
                 S11 
                 −52.836 
                 0.0115 
                 −0.0347 
                 0.0203 
                 −0.0087 
                 0.0021 
                 −0.0002 
                   1E−05 
                 0 
                 0 
               
               
                 S12 
                 0 
                 −0.034 
                 0.0045 
                 −0.0014 
                 0.0003 
                 −2E−05 
                 6E−07 
                 0 
                 0 
                 0 
               
               
                 S13 
                 −0.9427 
                 −0.1816 
                 0.0377 
                 −0.0008 
                 −0.001 
                 0.0002 
                 −2E−05   
                   9E−07 
                 −2E−08 
                 0 
               
               
                 S14 
                 −1.0048 
                 −0.1579 
                 0.0494 
                 −0.0121 
                 0.0022 
                 −0.0003 
                 2E−05 
                 −8E−07 
                   1E−08 
                 0 
               
               
                   
               
            
           
         
       
     
     Twentieth Example 
       FIG.  39    is a view illustrating a twentieth example of an optical imaging system, and  FIG.  40    illustrates aberration curves of the optical imaging system of  FIG.  39   . 
     An optical imaging system  20  includes a first lens  1020 , a second lens  2020 , a third lens  3020 , a fourth lens  4020 , a fifth lens  5020 , a sixth lens  6020 , and a seventh lens  7020 . 
     The first lens  1020  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2020  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3020  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4020  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5020  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6020  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6020 . The seventh lens  7020  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7020 . 
     The optical imaging system  20  further includes a stop, a filter  8020 , and an image sensor  9020 . The stop is disposed between the second lens  2020  and the third lens  3020  to adjust an amount of light incident on the image sensor  9020 . The filter  8020  is disposed between the seventh lens  7020  and the image sensor  9020  to block infrared rays. The image sensor  9020  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  39   , the stop is disposed at a distance of 1.002 mm from the object-side surface of the first lens  1020  toward the imaging plane of the optical imaging system  20 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 20 listed in Table 59 that appears later in this application. 
     Table 39 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  39   , and Table 40 below shows aspherical surface coefficients of the lenses of  FIG.  39   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 39 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.8047 
                 0.5769 
                 1.544 
                 56.114 
                 1.270 
               
               
                 S2 
                 Lens 
                 5.0109 
                 0.0406 
                   
                   
                 1.230 
               
               
                 S3 
                 Second 
                 4.8095 
                 0.3545 
                 1.544 
                 56.114 
                 1.204 
               
               
                 S4 
                 Lens 
                 14.1878 
                 0.0300 
                   
                   
                 1.158 
               
               
                 S5  
                 Third 
                 3.6592 
                 0.2000 
                 1.661 
                 20.350 
                 1.087 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S6 
                 Lens 
                 2.1487 
                 0.4249 
                   
                   
                 1.050 
               
               
                 S7 
                 Fourth 
                 21.5791 
                 0.3654 
                 1.544 
                 56.114 
                 1.050 
               
               
                 S8 
                 Lens 
                 9.6990 
                 0.0619 
                   
                   
                 1.187 
               
               
                 S9 
                 Fifth 
                 6.2306 
                 0.2825 
                 1.639 
                 21.525 
                 1.212 
               
               
                 S10 
                 Lens 
                 8.4970 
                 0.3479 
                   
                   
                 1.367 
               
               
                 S11 
                 Sixth 
                 10.1847 
                 0.5847 
                 1.544 
                 56.114 
                 1.650 
               
               
                 S12 
                 Lens 
                 −1.5171 
                 0.3562 
                   
                   
                 1.934 
               
               
                 S13 
                 Seventh 
                 −2.7118 
                 0.3000 
                 1.544 
                 56.114 
                 2.303 
               
               
                 S14 
                 Lens 
                 2.0636 
                 0.1646 
                   
                   
                 2.650 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                   
               
               
                 S16 
                   
                 Infinity 
                 0.6300 
                   
                   
                   
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0099 
                   
                   
                   
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 40 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1.5984 
                 0.022 
                 0.0011 
                 −0.0095 
                 0.0071 
                 −0.0076 
                 0.0028 
                 −0.0002 
                 0 
               
               
                 S2 
                 0 
                 −0.0267 
                 −0.08 
                 0.1204 
                 −0.1085 
                 0.0777 
                 −0.0361 
                 0.0074 
                 0 
               
               
                 S3 
                 0 
                 0.0185 
                 −0.0944 
                 0.1151 
                 −0.0877 
                 0.0713 
                 −0.0433 
                 0.0104 
                 0 
               
               
                 S4 
                 93.032 
                 −0.0833 
                 0.3002 
                 −0.6564 
                 0.7873 
                 −0.5697 
                 0.2292 
                 −0.0392 
                 0 
               
               
                 S5 
                 −11.518 
                 −0.2115 
                 0.4874 
                 −0.8074 
                 0.9509 
                 −0.7204 
                 0.3239 
                 −0.0644 
                 0 
               
               
                 S6 
                 −4.4222 
                 −0.0999 
                 0.1985 
                 −0.0999 
                 −0.0975 
                 0.2773 
                 −0.2246 
                 0.0743 
                 0 
               
               
                 S7 
                 0 
                 −0.0315 
                 −0.1501 
                 0.4497 
                 −1.0958 
                 1.4445 
                 −1.0093 
                 0.2957 
                 0 
               
               
                 S8 
                 0 
                 −0.1532 
                 −0.084 
                 0.3675 
                 −0.5986 
                 0.475 
                 −0.1986 
                 0.0366 
                 0 
               
               
                 S9 
                 −76.367 
                 −0.2472 
                 −0.1038 
                 0.5308 
                 −0.6528 
                 0.4225 
                 −0.1503 
                 0.0226 
                 0 
               
               
                 S10 
                 0 
                 −0.1927 
                 −0.1015 
                 0.3168 
                 −0.3163 
                 0.1912 
                 −0.0703 
                 0.0115 
                 0 
               
               
                 S11 
                 0 
                 0.0245 
                 −0.0539 
                 −0.0674 
                 0.1082 
                 −0.0625 
                 0.0168 
                 −0.0017 
                 0 
               
               
                 S12 
                 −1.5099 
                 0.2023 
                 −0.1451 
                 0.0004 
                 0.0431 
                 −0.0194 
                 0.0035 
                 −0.0002 
                 0 
               
               
                 S13 
                 −6.0002 
                 0.009 
                 −0.1914 
                 0.1596 
                 −0.0593 
                 0.0123 
                 −0.0015 
                   1E−04 
                 −3E−06 
               
               
                 S14 
                 −0.8696 
                 −0.1901 
                 0.0765 
                 −0.0229 
                 0.0049 
                 −0.0008 
                 9E−05 
                 −6E−06 
                   2E−07 
               
               
                   
               
            
           
         
       
     
     Twenty-First Example 
       FIG.  41    is a view illustrating a twenty-first example of an optical imaging system, and  FIG.  42    illustrates aberration curves of the optical imaging system of  FIG.  41   . 
     An optical imaging system  21  includes a first lens  1021 , a second lens  2021 , a third lens  3021 , a fourth lens  4021 , a fifth lens  5021 , a sixth lens  6021 , and a seventh lens  7021 . 
     The first lens  1021  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2021  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3021  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4021  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5021  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6021  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6021 . The seventh lens  7021  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on the object-side surface of the seventh lens  7021 , and two inflection points are formed on the image-side surface of the seventh lens  7021 . 
     The optical imaging system  21  further includes a stop, a filter  8021 , and an image sensor  9021 . The stop is disposed between the first lens  1021  and the second lens  2021  to adjust an amount of light incident on the image sensor  9021 . The filter  8021  is disposed between the seventh lens  7021  and the image sensor  9021  to block infrared rays. The image sensor  9021  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  41   , the stop is disposed at a distance of 0.374 mm from the object-side surface of the first lens  1021  toward the imaging plane of the optical imaging system  21 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 21 listed in Table 59 that appears later in this application. 
     Table 41 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  41   , and Table 42 below shows aspherical surface coefficients of the lenses of  FIG.  41   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 41 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.1873 
                 0.3243 
                 1.546 
                 56.114 
                 1.450 
               
               
                 S2 
                 Lens 
                 1.8391 
                 0.0497 
                   
                   
                 1.441 
               
               
                 S3  
                 Second 
                 1.6361 
                 0.7740 
                 1.546 
                 56.114 
                 1.415 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S4 
                 Lens 
                 30.6063 
                 0.0300 
                   
                   
                 1.354 
               
               
                 S5 
                 Third 
                 7.2628 
                 0.2100 
                 1.678 
                 19.236 
                 1.270 
               
               
                 S6 
                 Lens 
                 2.9652 
                 0.4149 
                   
                   
                 1.120 
               
               
                 S7 
                 Fourth 
                 14.3312 
                 0.3269 
                 1.645 
                 23.528 
                 1.182 
               
               
                 S8 
                 Lens 
                 12.1292 
                 0.2502 
                   
                   
                 1.337 
               
               
                 S9 
                 Fifth 
                 2.1804 
                 0.2500 
                 1.645 
                 23.528 
                 1.580 
               
               
                 S10 
                 Lens 
                 2.1733 
                 0.3831 
                   
                   
                 1.892 
               
               
                 S11 
                 Sixth 
                 8.6678 
                 0.6610 
                 1.546 
                 56.114 
                 2.429 
               
               
                 S12 
                 Lens 
                 −1.9375 
                 0.3110 
                   
                   
                 2.544 
               
               
                 S13 
                 Seventh 
                 −7.6533 
                 0.3650 
                 1.546 
                 56.114 
                 2.916 
               
               
                 S14 
                 Lens 
                 1.6261 
                 0.2200 
                   
                   
                 3.075 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.1100 
                 1.518 
                 64.166 
                 3.378 
               
               
                 S16 
                   
                 Infinity 
                 0.6351 
                   
                   
                 3.414 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0049 
                   
                   
                 3.763 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 42 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −3.7488 
                 0.0012 
                 −0.0066 
                 −0.0004 
                 −0.0198 
                 0.0252 
                 −0.0132 
                 0.0034 
                 −0.0004 
               
               
                 S2 
                 −7.1577 
                 −0.061 
                 −0.0104 
                 0.0163 
                 0.0115 
                 −0.0163 
                 0.0063 
                 −0.0009 
                 0 
               
               
                 S3 
                 −2.6408 
                 −0.0742 
                 0.0698 
                 −0.0582 
                 0.0727 
                 −0.0412 
                 0.0034 
                 0.0048 
                 −0.0013 
               
               
                 S4 
                 −99 
                 −0.0752 
                 0.197 
                 −0.3925 
                 0.5174 
                 −0.4377 
                 0.2286 
                 −0.0663 
                 0.008 
               
               
                 S5 
                 0 
                 −0.1076 
                 0.2644 
                 −0.4642 
                 0.6109 
                 −0.5485 
                 0.3128 
                 −0.0997 
                 0.0134 
               
               
                 S6 
                 4.364 
                 −0.0584 
                 0.0882 
                 −0.068 
                 −0.0405 
                 0.1629 
                 −0.1817 
                 0.0962 
                 −0.0201 
               
               
                 S7 
                 0 
                 −0.0603 
                 0.0743 
                 −0.2389 
                 0.4197 
                 −0.4882 
                 0.353 
                 −0.1472 
                 0.0274 
               
               
                 S8 
                 0 
                 −0.1174 
                 0.165 
                 −0.2983 
                 0.348 
                 −0.2864 
                 0.1556 
                 −0.0507 
                 0.0077 
               
               
                 S9 
                 −15.429 
                 −0.0562 
                 0.0005 
                 0.0397 
                 −0.0576 
                 0.0355 
                 −0.0117 
                 0.0015 
                   3E−05 
               
               
                 S10 
                 −9.1654 
                 −0.1003 
                 0.0623 
                 −0.0379 
                 0.0141 
                 −0.0032 
                 5E−05 
                 0.0002 
                 −3E−05 
               
               
                 S11 
                 0 
                 −0.001 
                 −0.0216 
                 0.0157 
                 −0.0111 
                 0.0043 
                 −0.0009 
                 8E−05 
                 −3E−06 
               
               
                 S12 
                 −1.7327 
                 0.1074 
                 −0.0935 
                 0.0649 
                 −0.0289 
                 0.0078 
                 −0.0012 
                 0.0001 
                 −4E−06 
               
               
                 S13 
                 0.6082 
                 −0.1509 
                 0.0462 
                 0.0036 
                 −0.0043 
                 0.001 
                 −0.0001 
                 6E−06 
                 −2E−07 
               
               
                 S14 
                 −8.5925 
                 −0.0951 
                 0.041 
                 −0.0124 
                 0.0026 
                 −0.0004 
                 4E−05 
                 −2E−06   
                   4E−08 
               
               
                   
               
            
           
         
       
     
     Twenty-Second Example 
       FIG.  43    is a view illustrating a twenty-second example of an optical imaging system, and  FIG.  44    illustrates aberration curves of the optical imaging system of  FIG.  43   . 
     An optical imaging system  22  includes a first lens  1022 , a second lens  2022 , a third lens  3022 , a fourth lens  4022 , a fifth lens  5022 , a sixth lens  6022 , and a seventh lens  7022 . 
     The first lens  1022  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2022  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3022  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4022  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5022  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6022  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6022 . The seventh lens  7022  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on the object-side surface of the seventh lens  7022 , and two inflection points are formed on the image-side surface of the seventh lens  7022 . 
     The optical imaging system  22  further includes a stop, a filter  8022 , and an image sensor  9022 . The stop is disposed between the first lens  1022  and the second lens  2022  to adjust an amount of light incident on the image sensor  9022 . The filter  8022  is disposed between the seventh lens  7022  and the image sensor  9022  to block infrared rays. The image sensor  9022  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  43   , the stop is disposed at a distance of 0.920 mm from the object-side surface of the first lens  1022  toward the imaging plane of the optical imaging system  22 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 22 listed in Table 59 that appears later in this application. 
     Table 43 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  43   , and Table 44 below shows aspherical surface coefficients of the lenses of  FIG.  43   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 43 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.9701 
                 0.9200 
                 1.546 
                 56.114 
                 1.435 
               
               
                 S2  
                 Lens 
                 6.1422 
                 0.0762 
                   
                   
                 1.327 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S3 
                 Second 
                 5.3743 
                 0.2000 
                 1.677 
                 19.238 
                 1.311 
               
               
                 S4 
                 Lens 
                 3.5472 
                 0.3480 
                   
                   
                 1.231 
               
               
                 S5 
                 Third 
                 10.0771 
                 0.3764 
                 1.546 
                 56.114 
                 1.271 
               
               
                 S6 
                 Lens 
                 25.5187 
                 0.1640 
                   
                   
                 1.351 
               
               
                 S7 
                 Fourth 
                 5.8924 
                 0.2000 
                 1.667 
                 20.377 
                 1.359 
               
               
                 S8 
                 Lens 
                 4.6147 
                 0.2547 
                   
                   
                 1.460 
               
               
                 S9 
                 Fifth 
                 5.0940 
                 0.2295 
                 1.619 
                 25.960 
                 1.756 
               
               
                 S10 
                 Lens 
                 4.3859 
                 0.3402 
                   
                   
                 1.654 
               
               
                 S11 
                 Sixth 
                 4.9999 
                 0.7714 
                 1.546 
                 56.114 
                 2.420 
               
               
                 S12 
                 Lens 
                 −1.8739 
                 0.3896 
                   
                   
                 2.467 
               
               
                 S13 
                 Seventh 
                 −2.1172 
                 0.3000 
                 1.546 
                 56.114 
                 3.169 
               
               
                 S14 
                 Lens 
                 2.8301 
                 0.1800 
                   
                   
                 3.066 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                   
                 3.715 
               
               
                 S16 
                   
                 Infinity 
                 0.6368 
                   
                   
                 3.801 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0032 
                   
                   
                 4.254 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 44 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1.1385 
                 0.0141 
                 0.023 
                 −0.0501 
                 0.0713 
                 −0.0603 
                 0.0298 
                 −0.0079 
                 0.0009 
                 0 
               
               
                 S2 
                 12.673 
                 −0.0899 
                 0.0792 
                 −0.0381 
                 −0.0163 
                 0.0343 
                 −0.0229 
                 0.0077 
                 −0.0011 
                 0 
               
               
                 S3 
                 9.9647 
                 −0.1473 
                 0.1118 
                 0.0661 
                 −0.2646 
                 0.2998 
                 −0.1775 
                 0.0556 
                 −0.0072 
                 0 
               
               
                 S4 
                 −0.5888 
                 −0.076 
                 0.0676 
                 0.0602 
                 −0.1804 
                 0.1698 
                 −0.0679 
                 0.0057 
                 0.0025 
                 0 
               
               
                 S5 
                 0 
                 −0.0278 
                 0.0424 
                 −0.1578 
                 0.2776 
                 −0.3017 
                 0.1871 
                 −0.0609 
                 0.0081 
                 0 
               
               
                 S6 
                 −99 
                 −0.0505 
                 0.0344 
                 −0.0587 
                 0.0428 
                 0.0016 
                 −0.0357 
                 0.0253 
                 −0.0056 
                 0 
               
               
                 S7 
                 0 
                 −0.138 
                 0.0096 
                 0.0579 
                 −0.2108 
                 0.3235 
                 −0.2566 
                 0.1009 
                 −0.0155 
                 0 
               
               
                 S8 
                 0 
                 −0.1363 
                 0.1001 
                 −0.1765 
                 0.2075 
                 −0.1546 
                 0.071 
                 −0.0193 
                 0.0025 
                 0 
               
               
                 S9 
                 0 
                 −0.2113 
                 0.2288 
                 −0.2271 
                 0.1631 
                 −0.0851 
                 0.0308 
                 −0.0071 
                 0.0008 
                 0 
               
               
                 S10 
                 −62.082 
                 −0.1439 
                 0.0555 
                 −0.0007 
                 −0.029 
                 0.0245 
                 −0.009 
                 0.0016 
                 −0.0001 
                 0 
               
               
                 S11 
                 −21.515 
                 0.0047 
                 −0.0144 
                 0.0029 
                 −0.0019 
                 0.0006 
                 −8E−05 
                   1E−06 
                 2E−07 
                 0 
               
               
                 S12 
                 −3.7544 
                 0.1035 
                 −0.0491 
                 0.0125 
                 −0.0024 
                 0.0003 
                 −2E−05 
                 −3E−07 
                 9E−08 
                 0 
               
               
                 S13 
                 −11.142 
                 −0.0315 
                 −0.0345 
                 0.0239 
                 −0.0062 
                 0.0009 
                 −7E−05 
                   3E−06 
                 −5E−08   
                 0 
               
               
                 S14 
                 −1.2542 
                 −0.091 
                 0.025 
                 −0.0054 
                 0.0009 
                 −0.0001 
                   1E−05 
                 −1E−06 
                 6E−08 
                 −1E−09 
               
               
                   
               
            
           
         
       
     
     Twenty-Third Example 
       FIG.  45    is a view illustrating a twenty-third example of an optical imaging system, and  FIG.  46    illustrates aberration curves of the optical imaging system of  FIG.  45   . 
     An optical imaging system  23  includes a first lens  1023 , a second lens  2023 , a third lens  3023 , a fourth lens  4023 , a fifth lens  5023 , a sixth lens  6023 , and a seventh lens  7023 . 
     The first lens  1023  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2023  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3023  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4023  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5023  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6023  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6023 . The seventh lens  7023  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, one inflection point is formed on the object-side surface of the seventh lens  7023 , and two inflection points are formed on the image-side surface of the seventh lens  7023 . 
     The optical imaging system  23  further includes a stop, a filter  8023 , and an image sensor  9023 . The stop is disposed between the first lens  1023  and the second lens  2023  to adjust an amount of light incident on the image sensor  9023 . The filter  8023  is disposed between the seventh lens  7023  and the image sensor  9023  to block infrared rays. The image sensor  9023  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  45   , the stop is disposed at a distance of 1.060 mm from the object-side surface of the first lens  1023  toward the imaging plane of the optical imaging system  23 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 23 listed in Table 59 that appears later in this application. 
     Table 45 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  45   , and Table 46 below shows aspherical surface coefficients of the lenses of  FIG.  45   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 45 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.0122 
                 1.0601 
                 1.546 
                 56.114 
                 1.510 
               
               
                 S2  
                 Lens 
                 5.8868 
                 0.0711 
                   
                   
                 1.375 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S3 
                 Second 
                 5.4922 
                 0.2000 
                 1.677 
                 19.238 
                 1.353 
               
               
                 S4 
                 Lens 
                 3.7029 
                 0.2969 
                   
                   
                 1.240 
               
               
                 S5 
                 Third 
                 9.9760 
                 0.3703 
                 1.546 
                 56.114 
                 1.270 
               
               
                 S6 
                 Lens 
                 29.4320 
                 0.1826 
                   
                   
                 1.356 
               
               
                 S7 
                 Fourth 
                 8.6841 
                 0.2108 
                 1.667 
                 20.377 
                 1.355 
               
               
                 S8 
                 Lens 
                 6.0112 
                 0.2603 
                   
                   
                 1.479 
               
               
                 S9 
                 Fifth 
                 5.7445 
                 0.2195 
                 1.619 
                 25.960 
                 1.750 
               
               
                 S10 
                 Lens 
                 5.0434 
                 0.3482 
                   
                   
                 1.736 
               
               
                 S11 
                 Sixth 
                 4.8476 
                 0.9335 
                 1.546 
                 56.114 
                 2.400 
               
               
                 S12 
                 Lens 
                 −1.7967 
                 0.3268 
                   
                   
                 2.438 
               
               
                 S13 
                 Seventh 
                 −1.9512 
                 0.3000 
                 1.546 
                 56.114 
                 2.692 
               
               
                 S14 
                 Lens 
                 2.8062 
                 0.1700 
                   
                   
                 3.158 
               
               
                 S15 
                 Filter  
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.744 
               
               
                 S16 
                   
                 Infinity 
                 0.6441 
                   
                   
                 3.826 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 −0.0041   
                   
                   
                 4.252 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 46 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1.1332 
                 0.0154 
                 0.0091 
                 −0.0108 
                 0.01 
                 −0.0053 
                 0.0015 
                 −0.0002 
                 −1E−05 
                 0 
               
               
                 S2 
                 12.901 
                 −0.0771 
                 0.0315 
                 0.036 
                 −0.0911 
                 0.0858 
                 −0.0454 
                 0.0132 
                 −0.0016 
                 0 
               
               
                 S3 
                 9.6379 
                 −0.1255 
                 0.0603 
                 0.0962 
                 −0.2261 
                 0.222 
                 −0.1214 
                 0.036 
                 −0.0045 
                 0 
               
               
                 S4 
                 −0.8719 
                 −0.061 
                 0.0524 
                 0.0027 
                 0.0041 
                 −0.069 
                 0.0931 
                 −0.0498 
                 0.0101 
                 0 
               
               
                 S5 
                 0 
                 −0.0121 
                 0.0151 
                 −0.088 
                 0.1573 
                 −0.1697 
                 0.1016 
                 −0.0315 
                 0.004 
                 0 
               
               
                 S6 
                 −99 
                 −0.0237 
                 −0.0073 
                 0.0365 
                 −0.1182 
                 0.1732 
                 −0.1421 
                 0.0603 
                 −0.0104 
                 0 
               
               
                 S7 
                 0 
                 −0.104 
                 −0.0751 
                 0.2741 
                 −0.5665 
                 0.6635 
                 −0.4435 
                 0.1557 
                 −0.0222 
                 0 
               
               
                 S8 
                 0 
                 −0.1088 
                 0.0332 
                 −0.0258 
                 −0.0057 
                 0.0249 
                 −0.0175 
                 0.0048 
                 −0.0003 
                 0 
               
               
                 S9 
                 0 
                 −0.1824 
                 0.192 
                 −0.1693 
                 0.1022 
                 −0.0423 
                 0.0117 
                 −0.002 
                 0.0002 
                 0 
               
               
                 S10 
                 −96.971 
                 −0.1318 
                 0.0661 
                 −0.0223 
                 −0.0048 
                 0.0087 
                 −0.0034 
                 0.0006 
                 −4E−05   
                 0 
               
               
                 S11 
                 −34.065 
                 −0.0075 
                 −0.0001 
                 −0.0106 
                 0.0081 
                 −0.0035 
                 0.0008 
                 −1E−04 
                 4E−06 
                 0 
               
               
                 S12 
                 −2.7443 
                 0.1131 
                 −0.0726 
                 0.0291 
                 −0.0078 
                 0.0012 
                 −9E−05 
                   1E−06 
                 1E−07 
                 0 
               
               
                 S13 
                 −10.221 
                 −0.0393 
                 −0.0198 
                 0.0148 
                 −0.0036 
                 0.0005 
                 −3E−05 
                   1E−06 
                 −2E−08   
                 0 
               
               
                 S14 
                 −1.2844 
                 −0.0938 
                 0.0319 
                 −0.0092 
                 0.002 
                 −0.0003 
                   4E−05 
                 −3E−06 
                 1E−07 
                 −3E−09 
               
               
                   
               
            
           
         
       
     
     Twenty-Fourth Example 
       FIG.  47    is a view illustrating a twenty-fourth example of an optical imaging system, and  FIG.  48    illustrates aberration curves of the optical imaging system of  FIG.  47   . 
     An optical imaging system  24  includes a first lens  1024 , a second lens  2024 , a third lens  3024 , a fourth lens  4024 , a fifth lens  5024 , a sixth lens  6024 , and a seventh lens  7024 . 
     The first lens  1024  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2024  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3024  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4024  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5024  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6024  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6024 . The seventh lens  7024  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7024 , and one inflection point is formed on the image-side surface of the seventh lens  7024 . 
     The optical imaging system  24  further includes a stop, a filter  8024 , and an image sensor  9024 . The stop is disposed between the second lens  2024  and the third lens  3024  to adjust an amount of light incident on the image sensor  9024 . The filter  8024  is disposed between the seventh lens  7024  and the image sensor  9024  to block infrared rays. The image sensor  9024  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  47   , the stop is disposed at a distance of 1.082 mm from the object-side surface of the first lens  1024  toward the imaging plane of the optical imaging system  24 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 24 listed in Table 59 that appears later in this application. 
     Table 47 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  47   , and Table 48 below shows aspherical surface coefficients of the lenses of  FIG.  47   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 47 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.3369 
                 0.4321 
                 1.546 
                 56.114 
                 1.365 
               
               
                 S2 
                 Lens 
                 2.8574 
                 0.0250 
                   
                   
                 1.352 
               
               
                 S3 
                 Second 
                 2.5422 
                 0.6000 
                 1.546 
                 56.114 
                 1.326 
               
               
                 S4 
                 Lens 
                 36.4170 
                 0.0250 
                   
                   
                 1.254 
               
               
                 S5  
                 Third 
                 8.1937 
                 0.2300 
                 1.679 
                 19.236 
                 1.217 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S6 
                 Lens 
                 3.3336 
                 0.3222 
                   
                   
                 1.227 
               
               
                 S7 
                 Fourth 
                 6.3427 
                 0.5711 
                 1.546 
                 56.114 
                 1.322 
               
               
                 S8 
                 Lens 
                 11.2370 
                 0.4049 
                   
                   
                 1.372 
               
               
                 S9 
                 Fifth 
                 18.9615 
                 0.5067 
                 1.546 
                 56.114 
                 1.590 
               
               
                 S10 
                 Lens 
                 6.6837 
                 0.0732 
                   
                   
                 1.931 
               
               
                 S11 
                 Sixth 
                 2.3548 
                 0.6194 
                 1.546 
                 56.114 
                 2.023 
               
               
                 S12 
                 Lens 
                 2.5651 
                 0.1492 
                   
                   
                 2.456 
               
               
                 S13 
                 Seventh 
                 1.4247 
                 0.5400 
                 1.546 
                 56.114 
                 2.710 
               
               
                 S14 
                 Lens 
                 1.2822 
                 0.3444 
                   
                   
                 2.982 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.258 
               
               
                 S16 
                   
                 Infinity 
                 0.6347 
                   
                   
                 3.334 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0150 
                   
                   
                 3.734 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 48 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.9157 
                 −0.0242 
                 0.0483 
                 −0.0925 
                 0.0385 
                 0.0577 
                 −0.0925 
                 0.0579 
                 −0.0178 
                 0.0022 
               
               
                 S2 
                 −12.376 
                 0.0627 
                 −0.1415 
                 −0.3392 
                 0.8991 
                 −0.7358 
                 0.1834 
                 0.0755 
                 −0.0533 
                 0.0088 
               
               
                 S3 
                 −0.8319 
                 0.031 
                 −0.03 
                 −0.6522 
                 1.4923 
                 −1.3976 
                 0.6352 
                 −0.1105 
                 −0.0112 
                 0.0048 
               
               
                 S4 
                 −7.367 
                 −0.1852 
                 1.7179 
                 −6.8471 
                 14.821 
                 −19.261 
                 15.464 
                 −7.5184 
                 2.0307 
                 −0.2341 
               
               
                 S5 
                 12.337 
                 −0.2536 
                 1.7489 
                 −6.6898 
                 14.646 
                 −19.491 
                 16.071 
                 −8.0307 
                 2.2327 
                 −0.2657 
               
               
                 S6 
                 1.1454 
                 −0.0901 
                 0.2168 
                 −0.6218 
                 1.4502 
                 −2.2709 
                 2.2634 
                 −1.3948 
                 0.4895 
                 −0.0747 
               
               
                 S7 
                 −12.034 
                 0.0424 
                 −0.6838 
                 2.5289 
                 −5.5859 
                 7.6559 
                 −6.5535 
                 3.3828 
                 −0.9545 
                 0.1124 
               
               
                 S8 
                 5.8592 
                 −0.0168 
                 −0.1532 
                 0.4479 
                 −0.9325 
                 1.2364 
                 −1.0356 
                 0.5306 
                 −0.1517 
                 0.0187 
               
               
                 S9 
                 −43.521 
                 0.0196 
                 0.0447 
                 −0.1445 
                 0.1741 
                 −0.1293 
                 0.0589 
                 −0.0164 
                 0.0026 
                 −0.0002 
               
               
                 S10 
                 −9.9703 
                 −0.0233 
                 −0.0527 
                 0.0821 
                 −0.0601 
                 0.0246 
                 −0.0062 
                 0.001 
                 −9E−05 
                 4E−06 
               
               
                 S11 
                 −16.199 
                 0.1383 
                 −0.3024 
                 0.3056 
                 −0.2185 
                 0.1017 
                 −0.0304 
                 0.0057 
                 −0.0006 
                 3E−05 
               
               
                 S12 
                 0.0118 
                 −0.0979 
                 0.0662 
                 −0.0617 
                 0.0337 
                 −0.0119 
                 0.0028 
                 −0.0004 
                   3E−05 
                 −1E−06   
               
               
                 S13 
                 −0.8414 
                 −0.3646 
                 0.1533 
                 −0.0353 
                 0.0033 
                 0.0004 
                 −0.0001 
                   2E−05 
                 −8E−07 
                 1E−08 
               
               
                 S14 
                 −1.4251 
                 −0.2584 
                 0.1351 
                 −0.0538 
                 0.0161 
                 −0.0034 
                 0.0005 
                 −4E−05 
                   2E−06 
                 −4E−08   
               
               
                   
               
            
           
         
       
     
     Twenty-Fifth Example 
       FIG.  49    is a view illustrating a twenty-fifth example of an optical imaging system, and  FIG.  50    illustrates aberration curves of the optical imaging system of  FIG.  49   . 
     An optical imaging system  25  includes a first lens  1025 , a second lens  2025 , a third lens  3025 , a fourth lens  4025 , a fifth lens  5025 , a sixth lens  6025 , and a seventh lens  7025 . 
     The first lens  1025  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2025  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3025  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4025  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5025  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6025  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6025 . The seventh lens  7025  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7025 . 
     The optical imaging system  25  further includes a stop, a filter  8025 , and an image sensor  9025 . The stop is disposed between the second lens  2025  and the third lens  3025  to adjust an amount of light incident on the image sensor  9025 . The filter  8025  is disposed between the seventh lens  7025  and the image sensor  9025  to block infrared rays. The image sensor  9025  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  49   , the stop is disposed at a distance of 1.201 mm from the object-side surface of the first lens  1025  toward the imaging plane of the optical imaging system  25 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 25 listed in Table 59 that appears later in this application. 
     Table 49 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  49   , and Table 50 below shows aspherical surface coefficients of the lenses of  FIG.  49   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 49 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.2889 
                 0.4895 
                 1.546 
                 56.114 
                 1.564 
               
               
                 S2 
                 Lens 
                 2.8751 
                 0.1225 
                   
                   
                 1.556 
               
               
                 S3 
                 Second 
                 3.1931 
                 0.5641 
                 1.546 
                 56.114 
                 1.519 
               
               
                 S4 
                 Lens 
                 102.3291 
                 0.0250 
                   
                   
                 1.495 
               
               
                 S5  
                 Third 
                 9.0291 
                 0.2300 
                 1.679 
                 19.236 
                 1.430 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S6 
                 Lens 
                 4.0323 
                 0.4394 
                   
                   
                 1.411 
               
               
                 S7 
                 Fourth 
                 6.6204 
                 0.3813 
                 1.546 
                 56.114 
                 1.543 
               
               
                 S8 
                 Lens 
                 14.3245 
                 0.5330 
                   
                   
                 1.563 
               
               
                 S9 
                 Fifth 
                 5.4175 
                 0.4127 
                 1.679 
                 19.236 
                 1.840 
               
               
                 S10 
                 Lens 
                 3.5247 
                 0.2029 
                   
                   
                 2.415 
               
               
                 S11 
                 Sixth 
                 2.3899 
                 0.5978 
                 1.546 
                 56.114 
                 2.201 
               
               
                 S12 
                 Lens 
                 4.4770 
                 0.3962 
                   
                   
                 2.763 
               
               
                 S13 
                 Seventh 
                 2.3256 
                 0.5184 
                 1.546 
                 56.114 
                 3.015 
               
               
                 S14 
                 Lens 
                 1.4122 
                 0.2273 
                   
                   
                 3.288 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.711 
               
               
                 S16 
                   
                 Infinity 
                 0.6350 
                   
                   
                 3.786 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0150 
                   
                   
                 4.203 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 50 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1 
                 −0.0109 
                 0.0161 
                 −0.0521 
                 0.0675 
                 −0.0541 
                 0.0251 
                 −0.0062 
                 0.0007 
                 −2E−05 
               
               
                 S2 
                 −12.313 
                 0.0249 
                 −0.0812 
                 0.0686 
                 −0.0854 
                 0.0923 
                 −0.0564 
                 0.019 
                 −0.0034 
                 0.0002 
               
               
                 S3 
                 −1.1961 
                 −0.0151 
                 −0.0414 
                 0.0709 
                 −0.1526 
                 0.202 
                 −0.1389 
                 0.052 
                 −0.0102 
                 0.0008 
               
               
                 S4 
                 −7.0515 
                 −0.0439 
                 0.2205 
                 −0.5763 
                 0.8204 
                 −0.7024 
                 0.3734 
                 −0.1213 
                 0.0221 
                 −0.0017 
               
               
                 S5 
                 9.4925 
                 −0.0841 
                 0.2664 
                 −0.6308 
                 0.9198 
                 −0.8507 
                 0.5017 
                 −0.1833 
                 0.0381 
                 −0.0035 
               
               
                 S6 
                 1.6278 
                 −0.0537 
                 0.0672 
                 −0.0789 
                 0.0603 
                 −0.0261 
                 0.0045 
                 0.001 
                 −0.0003 
                 −4E−05 
               
               
                 S7 
                 −4.8767 
                 −0.0251 
                 −0.0455 
                 0.1569 
                 −0.312 
                 0.3626 
                 −0.2555 
                 0.1067 
                 −0.024 
                 0.0022 
               
               
                 S8 
                 5.8592 
                 −0.0325 
                 −0.0105 
                 0.0226 
                 −0.033 
                 0.0214 
                 −0.0047 
                 −0.0015 
                 0.001 
                 −0.0001 
               
               
                 S9 
                 −43.521 
                 −0.009 
                 −0.005 
                 0.0283 
                 −0.0424 
                 0.0317 
                 −0.0144 
                 0.004 
                 −0.0006 
                   4E−05 
               
               
                 S10 
                 −16.247 
                 −0.0574 
                 0.03 
                 −0.0024 
                 −0.0083 
                 0.0056 
                 −0.0019 
                 0.0004 
                 −4E−05 
                   2E−06 
               
               
                 S11 
                 −12.323 
                 0.0445 
                 −0.0879 
                 0.0791 
                 −0.052 
                 0.0213 
                 −0.0055 
                 0.0009 
                 −8E−05 
                   3E−06 
               
               
                 S12 
                 −0.1058 
                 −0.0342 
                 0.019 
                 −0.0122 
                 0.0033 
                 −0.0005 
                 6E−05 
                 −9E−06 
                   8E−07 
                 −3E−08 
               
               
                 S13 
                 −0.7464 
                 −0.2683 
                 0.0838 
                 −0.0065 
                 −0.0032 
                 0.0012 
                 −0.0002 
                   2E−05 
                 −8E−07 
                   1E−08 
               
               
                 S14 
                 −1.4016 
                 −0.2382 
                 0.1163 
                 −0.0418 
                 0.0106 
                 −0.0018 
                 0.0002 
                 −1E−05 
                   5E−07 
                 −8E−09 
               
               
                   
               
            
           
         
       
     
     Twenty-Sixth Example 
       FIG.  51    is a view illustrating a twenty-sixth example of an optical imaging system, and  FIG.  52    illustrates aberration curves of the optical imaging system of  FIG.  51   . 
     An optical imaging system  26  includes a first lens  1026 , a second lens  2026 , a third lens  3026 , a fourth lens  4026 , a fifth lens  5026 , a sixth lens  6026 , and a seventh lens  7026 . 
     The first lens  1026  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2026  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3026  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fourth lens  4026  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5026  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6026  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6026 . The seventh lens  7026  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7026 . 
     The optical imaging system  26  further includes a stop, a filter  8026 , and an image sensor  9026 . The stop is disposed between the second lens  2026  and the third lens  3026  to adjust an amount of light incident on the image sensor  9026 . The filter  8026  is disposed between the seventh lens  7026  and the image sensor  9026  to block infrared rays. The image sensor  9026  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  51   , the stop is disposed at a distance of 0.963 mm from the object-side surface of the first lens  1026  toward the imaging plane of the optical imaging system  26 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 26 listed in Table 59 that appears later in this application. 
     Table 51 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  51   , and Table 52 below shows aspherical surface coefficients of the lenses of  FIG.  51   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 51 
               
               
                   
               
               
                   
                   
                   
                 Thick- 
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 ness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.7493 
                 0.7080 
                 1.546 
                 56.114 
                 1.280 
               
               
                 S2 
                 Lens 
                 7.7627 
                 0.0250 
                   
                   
                 1.225 
               
               
                 S3 
                 Second 
                 3.6883 
                 0.2300 
                 1.667 
                 20.353 
                 1.160 
               
               
                 S4  
                 Lens 
                 2.4524 
                 0.3551 
                   
                   
                 1.033 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S5 
                 Third 
                 39.9140 
                 0.2300 
                 1.667 
                 20.353 
                 1.053 
               
               
                 S6 
                 Lens 
                 22.4233 
                 0.0250 
                   
                   
                 1.090 
               
               
                 S7 
                 Fourth 
                 6.6877 
                 0.3582 
                 1.546 
                 56.114 
                 1.130 
               
               
                 S8 
                 Lens 
                 17.1426 
                 0.3932 
                   
                   
                 1.201 
               
               
                 S9 
                 Fifth 
                 10.0343 
                 0.3525 
                 1.656 
                 21.525 
                 1.329 
               
               
                 S10 
                 Lens 
                 6.5555 
                 0.2520 
                   
                   
                 1.664 
               
               
                 S11 
                 Sixth 
                 −324.8644 
                 0.6107 
                 1.656 
                 21.525 
                 1.841 
               
               
                 S12 
                 Lens 
                 12.2860 
                 0.0342 
                   
                   
                 2.288 
               
               
                 S13 
                 Seventh 
                 1.9518 
                 0.8257 
                 1.536 
                 55.656 
                 2.578 
               
               
                 S14 
                 Lens 
                 1.7567 
                 0.2187 
                   
                   
                 2.963 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.258 
               
               
                 S16 
                   
                 Infinity 
                 0.6350 
                   
                   
                 3.334 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0150 
                   
                   
                 3.729 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 52 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.2398 
                 5E−05 
                 0.0225 
                 −0.0553 
                 0.0791 
                 −0.0725 
                 0.0408 
                 −0.0137 
                 0.0019 
                 0 
               
               
                 S2 
                 6.0424 
                 −0.0363 
                 0.0343 
                 0.0144 
                 −0.1124 
                 0.1667 
                 −0.1307 
                 0.054 
                 −0.0092 
                 0 
               
               
                 S3 
                 −1.7137 
                 −0.0472 
                 0.041 
                 0.0264 
                 −0.116 
                 0.1895 
                 −0.1701 
                 0.0827 
                 −0.0161 
                 0 
               
               
                 S4 
                 −0.2358 
                 −0.0167 
                 −0.01 
                 0.0564 
                 −0.0195 
                 −0.1069 
                 0.2279 
                 −0.1897 
                 0.0625 
                 0 
               
               
                 S5 
                 −0.0716 
                 −0.0169 
                 −0.0047 
                 −0.1892 
                 0.6295 
                 −1.0256 
                 0.9612 
                 −0.4977 
                 0.1127 
                 0 
               
               
                 S6 
                 −1.1573 
                 0.0199 
                 −0.1372 
                 0.1444 
                 −0.0555 
                 0.1408 
                 −0.2746 
                 0.2067 
                 −0.0539 
                 0 
               
               
                 S7 
                 −28.459 
                 0.0213 
                 −0.1017 
                 0.0611 
                 0.0456 
                 0.018 
                 −0.1503 
                 0.1307 
                 −0.0346 
                 0 
               
               
                 S8 
                 −2.3038 
                 −0.0386 
                 0.0394 
                 −0.1206 
                 0.2443 
                 −0.4112 
                 0.4746 
                 −0.3301 
                 0.1229 
                 −0.0182 
               
               
                 S9 
                 −3.3254 
                 −0.1025 
                 0.044 
                 −0.1067 
                 0.238 
                 −0.3262 
                 0.2409 
                 −0.0929 
                 0.0146 
                 0 
               
               
                 S10 
                 −25.215 
                 −0.0274 
                 −0.1331 
                 0.1909 
                 −0.1562 
                 0.0771 
                 −0.0231 
                 0.0041 
                 −0.0003 
                 0 
               
               
                 S11 
                 23.202 
                 0.1679 
                 −0.2882 
                 0.2414 
                 −0.1422 
                 0.0533 
                 −0.0119 
                 0.0015 
                 −8E−05   
                 0 
               
               
                 S12 
                 −49.948 
                 0.0068 
                 −0.0175 
                 0.0027 
                 0.0001 
                 −0.0001 
                 4E−05 
                 −6E−06 
                 4E−07 
                 0 
               
               
                 S13 
                 −1.9292 
                 −0.2614 
                 0.126 
                 −0.0405 
                 0.0094 
                 −0.0015 
                 0.0002 
                 −9E−06 
                 2E−07 
                 0 
               
               
                 S14 
                 −0.8288 
                 −0.1737 
                 0.0652 
                 −0.0206 
                 0.0046 
                 −0.0007 
                 6E−05 
                 −3E−06 
                 7E−08 
                 0 
               
               
                   
               
            
           
         
       
     
     Twenty-Seventh Example 
       FIG.  53    is a view illustrating a twenty-seventh example of an optical imaging system, and  FIG.  54    illustrates aberration curves of the optical imaging system of  FIG.  53   . 
     An optical imaging system  27  includes a first lens  1027 , a second lens  2027 , a third lens  3027 , a fourth lens  4027 , a fifth lens  5027 , a sixth lens  6027 , and a seventh lens  7027 . 
     The first lens  1027  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2027  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3027  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fourth lens  4027  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5027  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The sixth lens  6027  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6027 . The seventh lens  7027  has a negative refractive power, and an object-side surface thereof is concave and an image-side surface thereof is concave. In addition, no inflection point is formed on the object-side surface of the seventh lens  7027 , and one inflection point is formed on the image-side surface of the seventh lens  7027 . 
     The optical imaging system  27  further includes a stop, a filter  8027 , and an image sensor  9027 . The stop is disposed between the second lens  2027  and the third lens  3027  to adjust an amount of light incident on the image sensor  9027 . The filter  8027  is disposed between the seventh lens  7027  and the image sensor  9027  to block infrared rays. The image sensor  9027  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  53   , the stop is disposed at a distance of 0.872 mm from the object-side surface of the first lens  1027  toward the imaging plane of the optical imaging system  27 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 27 listed in Table 59 that appears later in this application. 
     Table 53 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  53   , and Table 54 below shows aspherical surface coefficients of the lenses of  FIG.  53   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 53 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.7603 
                 0.6172 
                 1.546 
                 56.114 
                 1.100 
               
               
                 S2 
                 Lens 
                 14.1233 
                 0.0250 
                   
                   
                 1.040 
               
               
                 S3 
                 Second 
                 5.8341 
                 0.2300 
                 1.667 
                 20.353 
                 1.011 
               
               
                 S4  
                 Lens 
                 3.1227 
                 0.3733 
                   
                   
                 0.919 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S5 
                 Third 
                 −49.9417 
                 0.3799 
                 1.546 
                 56.114 
                 0.995 
               
               
                 S6 
                 Lens 
                 −15.1870 
                 0.1809 
                   
                   
                 1.096 
               
               
                 S7 
                 Fourth 
                 23.3680 
                 0.3032 
                 1.667 
                 20.353 
                 1.124 
               
               
                 S8 
                 Lens 
                 12.2098 
                 0.3354 
                   
                   
                 1.309 
               
               
                 S9 
                 Fifth 
                 −4.3948 
                 0.4729 
                 1.546 
                 56.114 
                 1.471 
               
               
                 S10 
                 Lens 
                 −1.5983 
                 0.0250 
                   
                   
                 1.698 
               
               
                 S11 
                 Sixth 
                 −6.0815 
                 0.5447 
                 1.546 
                 56.114 
                 1.822 
               
               
                 S12 
                 Lens 
                 −3.0145 
                 0.2724 
                   
                   
                 2.192 
               
               
                 S13 
                 Seventh 
                 −6.1494 
                 0.4224 
                 1.546 
                 56.114 
                 2.462 
               
               
                 S14 
                 Lens 
                 1.6367 
                 0.1933 
                   
                   
                 2.880 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.223 
               
               
                 S16 
                   
                 Infinity 
                 0.6445 
                   
                   
                 3.300 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0099 
                   
                   
                 3.728 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 54 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1.0054 
                 0.0225 
                 0.0222 
                 −0.0696 
                 0.1604 
                 −0.2238 
                 0.1806 
                 −0.0791 
                 0.0141 
                 0 
               
               
                 S2 
                 −1.5097 
                 −0.1275 
                 0.3975 
                 −0.6982 
                 0.6801 
                 −0.322 
                 0.0288 
                 0.029 
                 −0.0076 
                 0 
               
               
                 S3 
                 6.0294 
                 −0.163 
                 0.4504 
                 −0.8514 
                 1.0525 
                 −0.8203 
                 0.4235 
                 −0.138 
                 0.0213 
                 0 
               
               
                 S4 
                 −0.8846 
                 −0.0449 
                 0.0393 
                 0.1574 
                 −0.6934 
                 1.3171 
                 −1.3069 
                 0.6799 
                 −0.143 
                 0 
               
               
                 S5 
                 0 
                 −0.0513 
                 −0.0193 
                 −0.016 
                 0.0043 
                 0.0034 
                 −0.0155 
                 0.0319 
                 −0.0128 
                 0 
               
               
                 S6 
                 0 
                 −0.1089 
                 −0.0569 
                 0.3576 
                 −0.9255 
                 1.1947 
                 −0.8604 
                 0.3322 
                 −0.0547 
                 0 
               
               
                 S7 
                 −7.5 
                 −0.2139 
                 −0.0107 
                 0.1788 
                 −0.1827 
                 −0.1159 
                 0.3046 
                 −0.1897 
                 0.0405 
                 0 
               
               
                 S8 
                 −43.341 
                 −0.1402 
                 −0.061 
                 0.2777 
                 −0.4123 
                 0.3523 
                 −0.1857 
                 0.0564 
                 −0.0071 
                 0 
               
               
                 S9 
                 −35.081 
                 −0.0602 
                 0.0736 
                 −0.1046 
                 0.1084 
                 −0.0726 
                 0.0255 
                 −0.0041 
                 0.0002 
                 0 
               
               
                 S10 
                 −1.5734 
                 0.1621 
                 −0.2197 
                 0.1896 
                 −0.107 
                 0.0396 
                 −0.0091 
                 0.0011 
                 −6E−05 
                 0 
               
               
                 S11 
                 0.5153 
                 0.2137 
                 −0.3167 
                 0.2399 
                 −0.1217 
                 0.0384 
                 −0.0069 
                 0.0007 
                 −3E−05 
                 0 
               
               
                 S12 
                 −1.1466 
                 0.1967 
                 −0.2565 
                 0.1542 
                 −0.0532 
                 0.0115 
                 −0.0015 
                 0.0001 
                 −4E−06 
                 0 
               
               
                 S13 
                 −0.9056 
                 −0.0077 
                 −0.2094 
                 0.1883 
                 −0.0749 
                 0.0167 
                 −0.0022 
                 0.0002 
                 −5E−06 
                 0 
               
               
                 S14 
                 −1.2797 
                 −0.2192 
                 0.1006 
                 −0.0338 
                 0.0088 
                 −0.0018 
                 0.0003 
                 −2E−05 
                   1E−06 
                 −3E−08 
               
               
                   
               
            
           
         
       
     
     Twenty-Eighth Example 
       FIG.  55    is a view illustrating a twenty-eighth example of an optical imaging system, and  FIG.  56    illustrates aberration curves of the optical imaging system of  FIG.  55   . 
     An optical imaging system  28  includes a first lens  1028 , a second lens  2028 , a third lens  3028 , a fourth lens  4028 , a fifth lens  5028 , a sixth lens  6028 , and a seventh lens  7028 . 
     The first lens  1028  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2028  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3028  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fourth lens  4028  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5028  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6028  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6028 . The seventh lens  7028  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, two inflection points are formed on the object-side surface of the seventh lens  7028 , and one inflection point is formed on the image-side surface of the seventh lens  7028 . 
     The optical imaging system  28  further includes a stop, a filter  8028 , and an image sensor  9028 . The stop is disposed between the second lens  2028  and the third lens  3028  to adjust an amount of light incident on the image sensor  9028 . The filter  8028  is disposed between the seventh lens  7028  and the image sensor  9028  to block infrared rays. The image sensor  9028  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  55   , the stop is disposed at a distance of 0.866 mm from the object-side surface of the first lens  1028  toward the imaging plane of the optical imaging system  28 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 28 listed in Table 59 that appears later in this application. 
     Table 55 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  55   , and Table 56 below shows aspherical surface coefficients of the lenses of  FIG.  55   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 55 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.8830 
                 0.5872 
                 1.546 
                 56.114 
                 1.050 
               
               
                 S2 
                 Lens 
                 18.0733 
                 0.0492 
                   
                   
                 0.962 
               
               
                 S3 
                 Second 
                 4.5995 
                 0.2300 
                 1.667 
                 20.353 
                 0.934 
               
               
                 S4  
                 Lens 
                 2.5464 
                 0.3929 
                   
                   
                 0.837 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S5 
                 Third 
                 −21.7546 
                 0.2745 
                 1.546 
                 56.114 
                 1.100 
               
               
                 S6 
                 Lens 
                 −13.5144 
                 0.0611 
                   
                   
                 1.106 
               
               
                 S7 
                 Fourth 
                 25.3349 
                 0.2655 
                 1.546 
                 56.114 
                 1.200 
               
               
                 S8 
                 Lens 
                 25.3360 
                 0.3710 
                   
                   
                 1.285 
               
               
                 S9 
                 Fifth 
                 9.4682 
                 0.3930 
                 1.656 
                 21.525 
                 1.500 
               
               
                 S10 
                 Lens 
                 5.1029 
                 0.3790 
                   
                   
                 1.754 
               
               
                 S11 
                 Sixth 
                 6.4162 
                 0.8885 
                 1.546 
                 56.114 
                 2.041 
               
               
                 S12 
                 Lens 
                 6.3521 
                 0.0460 
                   
                   
                 2.631 
               
               
                 S13 
                 Seventh 
                 1.9665 
                 0.8854 
                 1.536 
                 55.656 
                 3.050 
               
               
                 S14 
                 Lens 
                 1.7699 
                 0.3098 
                   
                   
                 3.456 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.768 
               
               
                 S16 
                   
                 Infinity 
                 0.6537 
                   
                   
                 3.829 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 −0.0037   
                   
                   
                 4.129 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 56 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.1525 
                 0.0035 
                 0.0054 
                 −0.0238 
                 0.0587 
                 −0.0925 
                 0.0808 
                 −0.0376 
                 0.0069 
                 0 
               
               
                 S2 
                 −36.188 
                 −0.0554 
                 0.191 
                 −0.4954 
                 0.9092 
                 −1.1194 
                 0.849 
                 −0.3546 
                 0.0617 
                 0 
               
               
                 S3 
                 −0.1164 
                 −0.0883 
                 0.2264 
                 −0.5273 
                 0.9947 
                 −1.274 
                 1.0104 
                 −0.4343 
                 0.076 
                 0 
               
               
                 S4 
                 0.3326 
                 −0.0462 
                 0.097 
                 −0.2316 
                 0.5455 
                 −0.848 
                 0.7854 
                 −0.3759 
                 0.0708 
                 0 
               
               
                 S5 
                 51.758 
                 −0.0119 
                 −0.0911 
                 0.3617 
                 −0.9067 
                 1.3845 
                 −1.3014 
                 0.6835 
                 −0.1493 
                 0 
               
               
                 S6 
                 42.164 
                 0.0924 
                 −0.5269 
                 1.3558 
                 −2.2584 
                 2.5093 
                 −1.8107 
                 0.7611 
                 −0.139 
                 0 
               
               
                 S7 
                 −4.7579 
                 0.1336 
                 −0.5938 
                 1.261 
                 −1.8115 
                 1.7924 
                 −1.1666 
                 0.4427 
                 −0.0728 
                 0 
               
               
                 S8 
                 −3.4393 
                 0.0471 
                 −0.1842 
                 0.2886 
                 −0.3575 
                 0.3273 
                 −0.1971 
                 0.067 
                 −0.0093 
                 0 
               
               
                 S9 
                 −8.5449 
                 −0.0502 
                 −0.0588 
                 0.1599 
                 −0.2027 
                 0.1398 
                 −0.0542 
                 0.0105 
                 −0.0007 
                 0 
               
               
                 S10 
                 −18.064 
                 −0.044 
                 −0.0734 
                 0.1425 
                 −0.1303 
                 0.0691 
                 −0.0217 
                 0.0038 
                 −0.0003 
                 0 
               
               
                 S11 
                 −4.6497 
                 0.0633 
                 −0.1193 
                 0.0882 
                 −0.0426 
                 0.0135 
                 −0.0028 
                 0.0004 
                 −2E−05 
                 0 
               
               
                 S12 
                 −50 
                 0.034 
                 −0.0497 
                 0.0246 
                 −0.0072 
                 0.0013 
                 −0.0001 
                 7E−06 
                 −2E−07 
                 0 
               
               
                 S13 
                 −2.4291 
                 −0.1201 
                 0.0167 
                 0.0022 
                 −0.0009 
                 0.0001 
                 −6E−06 
                 1E−07 
                   9E−10 
                 0 
               
               
                 S14 
                 −1.0032 
                 −0.1111 
                 0.0248 
                 −0.0032 
                 −0.0001 
                 0.0001 
                 −2E−05 
                 2E−06 
                 −8E−08 
                 1E−09 
               
               
                   
               
            
           
         
       
     
     Twenty-Ninth Example 
       FIG.  57    is a view illustrating a twenty-ninth example of an optical imaging system, and  FIG.  58    illustrates aberration curves of the optical imaging system of  FIG.  57   . 
     An optical imaging system  29  includes a first lens  1029 , a second lens  2029 , a third lens  3029 , a fourth lens  4029 , a fifth lens  5029 , a sixth lens  6029 , and a seventh lens  7029 . 
     The first lens  1029  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The second lens  2029  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The third lens  3029  has a positive refractive power, and an object-side surface thereof is concave and an image-side surface thereof is convex. The fourth lens  4029  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The fifth lens  5029  has a negative refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. The sixth lens  6029  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, at least one inflection point is formed on either one or both of the object-side surface and the image-side surface of the sixth lens  6029 . The seventh lens  7029  has a positive refractive power, and an object-side surface thereof is convex and an image-side surface thereof is concave. In addition, one inflection point is formed on each of the object-side surface and the image-side surface of the seventh lens  7029 . 
     The optical imaging system  29  further includes a stop, a filter  8029 , and an image sensor  9029 . The stop is disposed between the second lens  2029  and the third lens  3029  to adjust an amount of light incident on the image sensor  9029 . The filter  8029  is disposed between the seventh lens  7029  and the image sensor  9029  to block infrared rays. The image sensor  9029  forms an imaging plane on which an image of a subject is formed. Although not illustrated in  FIG.  57   , the stop is disposed at a distance of 0.904 mm from the object-side surface of the first lens  1029  toward the imaging plane of the optical imaging system  29 . This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 29 listed in Table 59 that appears later in this application. 
     Table 57 below shows physical properties of the lenses and other elements of the optical imaging system of  FIG.  57   , and Table 58 below shows aspherical coefficients of the lenses of  FIG.  57   . 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 57 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.8987 
                 0.6486 
                 1.546 
                 56.114 
                 1.260 
               
               
                 S2 
                 Lens 
                 7.3568 
                 0.0250 
                   
                   
                 1.216 
               
               
                 S3 
                 Second 
                 3.8789 
                 0.2300 
                 1.667 
                 20.353 
                 1.161 
               
               
                 S4  
                 Lens 
                 2.7620 
                 0.3408 
                   
                   
                 1.053 
               
               
                 (Stop) 
                   
                   
                   
                   
                   
                   
               
               
                 S5 
                 Third 
                 −50.1242 
                 0.2819 
                 1.546 
                 56.114 
                 1.120 
               
               
                 S6 
                 Lens 
                 −14.9889 
                 0.0597 
                   
                   
                 1.158 
               
               
                 S7 
                 Fourth 
                 12.0498 
                 0.2698 
                 1.546 
                 56.114 
                 1.220 
               
               
                 S8 
                 Lens 
                 12.5657 
                 0.2919 
                   
                   
                 1.320 
               
               
                 S9 
                 Fifth 
                 9.5926 
                 0.3500 
                 1.667 
                 20.353 
                 1.520 
               
               
                 S10 
                 Lens 
                 5.2748 
                 0.3344 
                   
                   
                 1.762 
               
               
                 S11 
                 Sixth 
                 6.8735 
                 0.8484 
                 1.546 
                 56.114 
                 2.052 
               
               
                 S12 
                 Lens 
                 7.4933 
                 0.0591 
                   
                   
                 2.641 
               
               
                 S13 
                 Seventh 
                 2.0337 
                 0.8836 
                 1.536 
                 55.656 
                 3.070 
               
               
                 S14 
                 Lens 
                 1.8436 
                 0.3048 
                   
                   
                 3.425 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.2100 
                 1.518 
                 64.197 
                 3.764 
               
               
                 S16 
                   
                 Infinity 
                 0.6441 
                   
                   
                 3.825 
               
               
                 S17 
                 Imaging 
                 Infinity 
                 0.0150 
                   
                   
                 4.134 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 58 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.1061 
                 −0.0082 
                 0.0469 
                 −0.0925 
                 0.0811 
                 −0.0129 
                 −0.032 
                 0.0224 
                 −0.0047 
                 0 
               
               
                 S2 
                 −36.188 
                 −0.0502 
                 0.1624 
                 −0.4029 
                 0.6931 
                 −0.7643 
                 0.5021 
                 −0.1789 
                 0.0264 
                 0 
               
               
                 S3 
                 0.0036 
                 −0.0795 
                 0.2057 
                 −0.548 
                 1.0742 
                 −1.291 
                 0.9097 
                 −0.3412 
                 0.052 
                 0 
               
               
                 S4 
                 0.4038 
                 −0.0325 
                 0.0884 
                 −0.3009 
                 0.7004 
                 −0.9194 
                 0.6738 
                 −0.2424 
                 0.0308 
                 0 
               
               
                 S5 
                 51.758 
                 0.0055 
                 −0.1746 
                 0.5018 
                 −0.9395 
                 1.1442 
                 −0.9144 
                 0.4407 
                 −0.0937 
                 0 
               
               
                 S6 
                 42.164 
                 0.0953 
                 −0.4992 
                 1.0397 
                 −1.2284 
                 0.8169 
                 −0.2802 
                 0.0384 
                   4E−06 
                 0 
               
               
                 S7 
                 −4.7579 
                 0.1185 
                 −0.4938 
                 0.8554 
                 −0.8643 
                 0.5167 
                 −0.185 
                 0.0417 
                 −0.0054 
                 0 
               
               
                 S8 
                 −3.4393 
                 0.0492 
                 −0.194 
                 0.3147 
                 −0.3773 
                 0.3249 
                 −0.1878 
                 0.063 
                 −0.0088 
                 0 
               
               
                 S9 
                 −8.5449 
                 −0.0638 
                 0.0289 
                 −0.0884 
                 0.1649 
                 −0.171 
                 0.0983 
                 −0.0306 
                 0.0041 
                 0 
               
               
                 S10 
                 −18.064 
                 −0.0543 
                 −0.0172 
                 0.0321 
                 −0.0179 
                 0.004 
                   5E−06 
                 −0.0001 
                   8E−06 
                 0 
               
               
                 S11 
                 −4.6497 
                 0.0535 
                 −0.0909 
                 0.0613 
                 −0.0311 
                 0.011 
                 −0.0026 
                 0.0004 
                 −2E−05 
                 0 
               
               
                 S12 
                 −50 
                 0.0103 
                 −0.0176 
                 0.0057 
                 −0.0015 
                 0.0003 
                 −4E−05 
                 2E−06 
                 −6E−08 
                 0 
               
               
                 S13 
                 −2.606 
                 −0.1177 
                 0.0192 
                 −0.0004 
                 −1E−04 
                 −1E−05 
                   4E−06 
                 −4E−07   
                   9E−09 
                 0 
               
               
                 S14 
                 −1.0102 
                 −0.0979 
                 0.0187 
                 −0.0024 
                 0.0001 
                   2E−05 
                 −6E−06 
                 6E−07 
                 −3E−08 
                 6E−10 
               
               
                   
               
            
           
         
       
     
     Table 59 below shows an overall focal length f of the optical imaging system, an overall length TTL of the optical imaging system (a distance from the object-side surface of the first lens to the imaging plane), a distance SL from the stop to the imaging plane, an f-number (F No.) of the optical imaging system (the overall focal length f of the optical imaging system divided by the diameter of an entrance pupil of the optical imaging system, where both f and the diameter of the entrance pupil are expressed in mm), an image height (IMG HT) on the imaging plane (one-half of a diagonal length of the imaging plane), and a field of view (FOV) of the optical imaging system for each of Examples 1-29 described herein. The values of f, TTL, SL, and IMG HT are expressed in mm. The values of F No. are dimensionless values. The values of FOV are expressed in degrees. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 59 
               
               
                   
               
               
                 Example 
                 f 
                 TTL 
                 SL 
                 F No. 
                 IMG HT 
                 FOV 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 1 
                 3.671 
                 4.200 
                 3.529 
                 1.99 
                 3.26 
                 81.90 
               
               
                 2 
                 4.780 
                 5.827 
                 4.402 
                 1.57 
                 4.05 
                 79.02 
               
               
                 3 
                 4.256 
                 5.190 
                 3.931 
                 1.58 
                 3.68 
                 80.22 
               
               
                 4 
                 3.950 
                 4.819 
                 3.650 
                 1.58 
                 3.25 
                 77.47 
               
               
                 5 
                 4.350 
                 5.300 
                 4.917 
                 1.58 
                 3.38 
                 79.58 
               
               
                 6 
                 4.000 
                 4.877 
                 4.525 
                 1.58 
                 3.25 
                 76.86 
               
               
                 7 
                 4.280 
                 5.100 
                 4.369 
                 1.71 
                 3.54 
                 77.84 
               
               
                 8 
                 4.320 
                 5.285 
                 4.589 
                 1.68 
                 3.26 
                 72.96 
               
               
                 9 
                 4.401 
                 5.300 
                 4.142 
                 1.69 
                 3.73 
                 79.31 
               
               
                 10 
                 4.831 
                 5.955 
                 4.776 
                 1.66 
                 4.13 
                 79.74 
               
               
                 11 
                 5.086 
                 6.000 
                 4.795 
                 1.59 
                 4.13 
                 76.86 
               
               
                 12 
                 4.447 
                 5.144 
                 4.894 
                 2.07 
                 3.53 
                 75.63 
               
               
                 13 
                 4.657 
                 5.652 
                 5.452 
                 2.12 
                 3.26 
                 69.07 
               
               
                 14 
                 4.700 
                 5.650 
                 4.882 
                 1.81 
                 3.93 
                 78.82 
               
               
                 15 
                 4.400 
                 5.200 
                   
                 1.81 
                 3.26 
                 72.55 
               
               
                 16 
                 3.994 
                 5.125 
                 4.484 
                 1.57 
                 3.26 
                 77.38 
               
               
                 17 
                 4.460 
                 5.450 
                 4.5363 
                 1.72 
                 3.53 
                 76.77 
               
               
                 18 
                 4.700 
                 5.720 
                 4.8535 
                 1.67 
                 3.93 
                 78.23 
               
               
                 19 
                 4.620 
                 5.700 
                 4.8003 
                 1.64 
                 3.93 
                 79.17 
               
               
                 20 
                 4.020 
                 4.940 
                 3.938 
                 1.58 
                 3.23 
                 76.00 
               
               
                 21 
                 4.333 
                 5.320 
                 4.946 
                 1.50 
                 3.75 
                 80.30 
               
               
                 22 
                 4.589 
                 5.600 
                 4.680 
                 1.60 
                 4.25 
                 84.74 
               
               
                 23 
                 4.737 
                 5.800 
                 4.740 
                 1.57 
                 4.25 
                 82.21 
               
               
                 24 
                 4.451 
                 5.703 
                 4.621 
                 1.63 
                 3.73 
                 78.60 
               
               
                 25 
                 4.825 
                 6.000 
                 4.799 
                 1.54 
                 4.20 
                 80.78 
               
               
                 26 
                 4.592 
                 5.478 
                 4.515 
                 1.79 
                 3.73 
                 76.90 
               
               
                 27 
                 4.302 
                 5.240 
                 4.368 
                 1.95 
                 3.73 
                 80.46 
               
               
                 28 
                 4.966 
                 5.993 
                 5.127 
                 2.36 
                 4.13 
                 78.45 
               
               
                 29 
                 4.667 
                 5.797 
                 4.893 
                 1.85 
                 4.13 
                 81.80 
               
               
                   
               
            
           
         
       
     
     Table 60 below shows in mm a focal length f1 of the first lens, a focal length f2 of the second lens, a focal length f3 of the third lens, a focal length f4 of the fourth lens, a focal length f5 of the fifth lens, a focal length f6 of the sixth lens, and a focal length f7 of the seventh lens for each of Examples 1-29 described herein. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 60 
               
               
                   
               
               
                 Example 
                 f1 
                 f2 
                 f3 
                 f4 
                 f5 
                 f6 
                 f7 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 3.284 
                 −8.740 
                 13.548 
                 75.065 
                 −13.184 
                 44.153 
                 −17.987 
               
               
                 2 
                 10.035 
                 5.292 
                 −7.613 
                 22346862 
                 86.584 
                 −27.728 
                 146.074 
               
               
                 3 
                 9.060 
                 4.692 
                 −7.025 
                 −4861.622 
                 80.126 
                 −24.191 
                 1985.391 
               
               
                 4 
                 8.409 
                 4.355 
                 −6.520 
                 −4512.292 
                 74.369 
                 −22.452 
                 1842.731 
               
               
                 5 
                 −64.233 
                 3.248 
                 −7.428 
                 −43.722 
                 52.425 
                 3.010 
                 −2.424 
               
               
                 6 
                 −59.064 
                 2.987 
                 −6.830 
                 −40.204 
                 48.207 
                 2.768 
                 −2.229 
               
               
                 7 
                 3.596 
                 −7.349 
                 −1245.238 
                 15.657 
                 −19.723 
                 2.662 
                 −2.171 
               
               
                 8 
                 3.659 
                 −7.678 
                 −842.989 
                 14.045 
                 −15.662 
                 2.578 
                 −2.147 
               
               
                 9 
                 9.952 
                 4.985 
                 −9.042 
                 −60.959 
                 28.461 
                 −19.130 
                 −36.205 
               
               
                 10 
                 32.070 
                 4.958 
                 −9.510 
                 22.572 
                 16.180 
                 −12.867 
                 −20.135 
               
               
                 11 
                 43.522 
                 4.462 
                 −8.873 
                 52.492 
                 16.288 
                 −17.315 
                 −19.385 
               
               
                 12 
                 3.626 
                 −6.978 
                 10.551 
                 125.381 
                 −28.155 
                 −367.720 
                 −9.031 
               
               
                 13 
                 4.246 
                 −7.696 
                 16.245 
                 121.347 
                 −231.607 
                 20.905 
                 −8.575 
               
               
                 14 
                 4.553 
                 −11.109 
                 33.932 
                 36.853 
                 268.352 
                 4.100 
                 −2.623 
               
               
                 15 
                 4.290 
                 −10.606 
                 30.978 
                 14.871 
                 −21.133 
                 3.784 
                 −2.465 
               
               
                 16 
                 5.677 
                 −73.551 
                 −122.716 
                 15.510 
                 207.375 
                 3.799 
                 −2.466 
               
               
                 17 
                 3.980 
                 −11.900 
                 −41.500 
                 24.500 
                 −99.990 
                 −800.060 
                 −21.550 
               
               
                 18 
                 4.330 
                 −11.590 
                 −800.000 
                 19.640 
                 −99.990 
                 −166.350 
                 −16.430 
               
               
                 19 
                 4.420 
                 −12.710 
                 −799.990 
                 20.900 
                 −99.990 
                 −206.860 
                 −17.260 
               
               
                 20 
                 4.858 
                 13.152 
                 −8.241 
                 −32.625 
                 34.583 
                 2.462 
                 −2.100 
               
               
                 21 
                 −31.530 
                 3.137 
                 −7.545 
                 −130.033 
                 80.886 
                 2.966 
                 −2.423 
               
               
                 22 
                 4.929 
                 −16.125 
                 30.244 
                 −34.061 
                 −58.155 
                 2.600 
                 −2.172 
               
               
                 23 
                 5.107 
                 −17.583 
                 27.458 
                 −30.256 
                 −75.811 
                 2.526 
                 −2.062 
               
               
                 24 
                 18.149 
                 4.970 
                 −8.433 
                 25.591 
                 −19.167 
                 25.748 
                 69.101 
               
               
                 25 
                 15.861 
                 6.019 
                 −10.927 
                 22.137 
                 −16.283 
                 8.518 
                 −8.229 
               
               
                 26 
                 3.971 
                 −11.857 
                 −77.132 
                 19.846 
                 −30.042 
                 −18.041 
                 68.790 
               
               
                 27 
                 3.620 
                 −10.428 
                 39.821 
                 −38.762 
                 4.342 
                 10.303 
                 −2.323 
               
               
                 28 
                 3.802 
                 −8.955 
                 64.595 
                 12384.769 
                 −17.503 
                 299.093 
                 57.797 
               
               
                 29 
                 4.499 
                 −15.674 
                 39.058 
                 453.779 
                 −18.160 
                 102.612 
                 59.134 
               
               
                   
               
            
           
         
       
     
     Table 61 below shows in mm a thickness (L1edgeT) of an edge of the first lens, a thickness (L2edgeT) of the edge of the second lens, a thickness (L3edgeT) of the edge of the third lens, a thickness (L4edgeT) of the edge of the fourth lens, a thickness (L5edgeT) of the edge of the fifth lens, a thickness (L6edgeT) of the edge of the sixth lens, and a thickness (L7edgeT) of the edge of the seventh lens for each of Examples 1-29 described herein. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 61 
               
               
                   
               
               
                 Example 
                 L1edgeT 
                 L2edgeT 
                 L3edgeT 
                 L4edgeT 
                 L5edgeT 
                 L6edgeT 
                 L7edgeT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 0.201 
                 0.210 
                 0.200 
                 0.203 
                 0.246 
                 0.233 
                 0.320 
               
               
                 2 
                 0.282 
                 0.313 
                 0.416 
                 0    
                 0.325 
                 0.371 
                 0.382 
               
               
                 3 
                 0.251 
                 0.280 
                 0.359 
                 0.218 
                 0.293 
                 0.356 
                 0.364 
               
               
                 4 
                 0.233 
                 0.259 
                 0.333 
                 0.203 
                 0.272 
                 0.330 
                 0.376 
               
               
                 5 
                 0.220 
                 0.270 
                 0.348 
                 0.224 
                 0.259 
                 0.269 
                 0.437 
               
               
                 6 
                 0.203 
                 0.249 
                 0.320 
                 0.208 
                 0.237 
                 0.247 
                 0.473 
               
               
                 7 
                 0.222 
                 0.377 
                 0.235 
                 0.240 
                 0.189 
                 0.260 
                 0.323 
               
               
                 8 
                 0.179 
                 0.351 
                 0.253 
                 0.254 
                 0.383 
                 0.263 
                 0.645 
               
               
                 9 
                 0.257 
                 0.255 
                 0.340 
                 0.276 
                 0.365 
                 0.307 
                 0.278 
               
               
                 10 
                 0.248 
                 0.333 
                 0.383 
                 0.361 
                 0.582 
                 0.355 
                 0.641 
               
               
                 11 
                 0.254 
                 0.125 
                 0.425 
                 0.277 
                 0.380 
                 0.461 
                 0.328 
               
               
                 12 
                 0.269 
                 0.308 
                 0.190 
                 0.230 
                 0.410 
                 0.714 
                 0.300 
               
               
                 13 
                 0.372 
                 0.402 
                 0.183 
                 0.213 
                 0.284 
                 0.711 
                 0.752 
               
               
                 14 
                 0.323 
                 0.418 
                 0.258 
                 0.328 
                 0.292 
                 0.401 
                 0.493 
               
               
                 15 
                 0.205 
                 0.407 
                 0.201 
                 0.333 
                 0.278 
                 0.348 
                 0.815 
               
               
                 16 
                 0.218 
                 0.347 
                 0.211 
                 0.259 
                 0.277 
                 0.251 
                 0.950 
               
               
                 17 
                 0.170 
                 0.220 
                 0.180 
                 0.900 
                 0.230 
                 0.370 
                 0.740 
               
               
                 18 
                 0.100 
                 0.330 
                 0.140 
                 0.490 
                 0.230 
                 0.560 
                 0.830 
               
               
                 19 
                 0.110 
                 0.320 
                 0.150 
                 0.540 
                 0.230 
                 0.570 
                 0.910 
               
               
                 20 
                 0.212 
                 0.210 
                 0.351 
                 0.213 
                 0.236 
                 0.357 
                 0.445 
               
               
                 21 
                 0.220 
                 0.248 
                 0.350 
                 0.237 
                 0.252 
                 0.242 
                 0.540 
               
               
                 22 
                 0.373 
                 0.329 
                 0.222 
                 0.285 
                 0.186 
                 0.221 
                 0.456 
               
               
                 23 
                 0.435 
                 0.330 
                 0.215 
                 0.331 
                 0.143 
                 0.268 
                 0.556 
               
               
                 24 
                 0.248 
                 0.303 
                 0.393 
                 0.456 
                 0.352 
                 0.835 
                 0.513 
               
               
                 25 
                 0.247 
                 0.240 
                 0.413 
                 0.254 
                 0.352 
                 0.632 
                 0.553 
               
               
                 26 
                 0.250 
                 0.275 
                 0.277 
                 0.250 
                 0.337 
                 0.479 
                 0.782 
               
               
                 27 
                 0.252 
                 0.293 
                 0.238 
                 0.374 
                 0.258 
                 0.415 
                 0.686 
               
               
                 28 
                 0.293 
                 0.298 
                 0.252 
                 0.251 
                 0.409 
                 0.715 
                 0.678 
               
               
                 29 
                 0.246 
                 0.280 
                 0.254 
                 0.273 
                 0.356 
                 0.630 
                 0.692 
               
               
                   
               
            
           
         
       
     
     Table 62 below shows in mm a sag value (L5S1 sag) of the object-side surface of the fifth lens, a sag value (L5S2 sag) of the image-side surface of the fifth lens, a thickness (Yc71P1) of the seventh lens at a first inflection point on the object-side surface of the seventh lens, a thickness (Yc71P2) of the seventh lens at a second inflection point on the object-side surface of the seventh lens, a thickness (Yc72P1) of the seventh lens at a first inflection point on the image-side surface of the seventh lens, and a thickness (Yc72P2) of the seventh lens at a second inflection point on the image-side surface of the seventh lens for each of Examples 1-29 described herein. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 62 
               
               
                   
               
               
                 Example 
                 L5S1 sag 
                 L5S2 sag 
                 Yc71P1 
                 Yc71P2 
                 Yc72P1 
                 Yc72P2 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 1 
                 −0.342 
                 −0.314 
                 0.508 
                 0.449 
                 0.585 
                 — 
               
               
                 2 
                 0.197 
                 0.199 
                 0.678 
                 1    
                 0.795 
                 — 
               
               
                 3 
                 0.153 
                 0.181 
                 0.610 
                 0.712 
                 0.719 
                 — 
               
               
                 4 
                 0.200 
                 0.202 
                 0.568 
                 0.670 
                 0.667 
                 — 
               
               
                 5 
                 0.115 
                 0.139 
                 0.930 
                 — 
                 0.811 
                 — 
               
               
                 6 
                 0.116 
                 0.128 
                 0.831 
                 — 
                 0.741 
                 — 
               
               
                 7 
                 −0.466 
                 −0.526 
                 2.933 
                 — 
                 4.142 
                 — 
               
               
                 8 
                 −0.417 
                 −0.463 
                 3.001 
                 — 
                 4.432 
                 — 
               
               
                 9 
                 0.210 
                 0.245 
                 0.569 
                 0.641 
                 0.670 
                 — 
               
               
                 10 
                 0.129 
                 0.052 
                 0.628 
                 0.923 
                 0.790 
                 — 
               
               
                 11 
                 0.070 
                 0.060 
                 0.633 
                 0.519 
                 0.738 
                 — 
               
               
                 12 
                 −0.261 
                 −0.263 
                 0.473 
                 — 
                 0.631 
                 — 
               
               
                 13 
                 −0.408 
                 −0.480 
                 0.746 
                 0.904 
                 0.888 
                 — 
               
               
                 14 
                 −0.499 
                 −0.478 
                 0.806 
                 — 
                 0.771 
                 — 
               
               
                 15 
                 −0.485 
                 −0.407 
                 0.890 
                 — 
                 0.920 
                 — 
               
               
                 16 
                 −0.479 
                 −0.422 
                 — 
                 — 
                 0.781 
                 — 
               
               
                 17 
                 −0.280 
                 −0.330 
                 0.880 
                 2.410 
                 1.440 
                 — 
               
               
                 18 
                 −0.340 
                 −0.360 
                 0.910 
                 2.820 
                 1.580 
                 — 
               
               
                 19 
                 −0.350 
                 −0.360 
                 0.950 
                 2.800 
                 1.600 
                 — 
               
               
                 20 
                 −0.301 
                 −0.528 
                 0.849 
                 — 
                 0.718 
                 — 
               
               
                 21 
                 0.202 
                 0.201 
                 0.967 
                 — 
                 0.535 
                 0.904 
               
               
                 22 
                 0.334 
                 0.378 
                 0.719 
                 — 
                 0.402 
                 0.845 
               
               
                 23 
                 0.354 
                 0.431 
                 1.004 
                 — 
                 0.511 
                 0.913 
               
               
                 24 
                 0.210 
                 0.372 
                 0.610 
                 0.706 
                 0.722 
                 — 
               
               
                 25 
                 0.199 
                 0.269 
                 0.603 
                 — 
                 0.797 
                 — 
               
               
                 26 
                 0.270 
                 0.286 
                 0.889 
                 — 
                 1.015 
                 — 
               
               
                 27 
                 0.276 
                 0.509 
                 — 
                 — 
                 0.968 
                 — 
               
               
                 28 
                 0.092 
                 0.103 
                 0.955 
                 1.103 
                 1.128 
                 — 
               
               
                 29 
                 0.179 
                 0.173 
                 0.964 
                 1.114 
                 1.130 
                 — 
               
               
                   
               
            
           
         
       
     
     Table 63 below shows an inner diameter of each of the first through seventh spacers for each of Examples 1-29 described herein. S1d is an inner diameter of the first spacer SP1, S2d is an inner diameter of the second spacer SP2, S3d is an inner diameter of the third spacer SP3, S4d is an inner diameter of the fourth spacer SP4, S5d is an inner diameter of the fifth spacer SP5, S6d is an inner diameter of the sixth spacer SP6, and S7d is an inner diameter of the seventh spacer SP7. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 63 
               
               
                   
               
               
                 Example 
                 S1d 
                 S2d 
                 S3d 
                 S4d 
                 S5d 
                 S6d 
                 S7d 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 1.730 
                 1.550 
                 1.650 
                 2.070 
                 2.910 
                 4.240 
                 — 
               
               
                 2 
                 1.500 
                 1.340 
                 1.320 
                 1.720 
                 2.310 
                 3.030 
                 — 
               
               
                 3 
                 1.330 
                 1.220 
                 1.200 
                 1.580 
                 2.050 
                 2.690 
                 — 
               
               
                 4 
                 1.240 
                 1.150 
                 1.030 
                 1.480 
                 1.900 
                 2.460 
                 — 
               
               
                 5 
                 1.340 
                 1.230 
                 1.030 
                 1.500 
                 1.980 
                 2.660 
                 — 
               
               
                 6 
                 1.260 
                 1.150 
                 0.950 
                 1.270 
                 1.790 
                 2.380 
                 — 
               
               
                 7 
                 2.310 
                 2.160 
                 2.540 
                 2.940 
                 4.060 
                 4.840 
                 5.120 
               
               
                 8 
                 2.420 
                 2.200 
                 2.560 
                 2.820 
                 3.600 
                 4.490 
                 — 
               
               
                 9 
                 2.580 
                 2.400 
                 2.490 
                 2.970 
                 4.160 
                 4.890 
                 5.510 
               
               
                 10 
                 2.800 
                 2.650 
                 2.730 
                 3.540 
                 3.420 
                 4.440 
                 5.740 
               
               
                 11 
                 3.170 
                 3.000 
                 2.790 
                 3.080 
                 4.180 
                 5.490 
                 — 
               
               
                 12 
                 2.120 
                 2.100 
                 2.040 
                 2.120 
                 2.810 
                 4.640 
                 — 
               
               
                 13 
                 2.290 
                 2.480 
                 2.630 
                 2.820 
                 3.480 
                 5.210 
                 — 
               
               
                 14 
                 2.430 
                 2.480 
                 2.890 
                 3.380 
                 4.570 
                 6.180 
                 — 
               
               
                 15 
                 2.320 
                 2.360 
                 2.560 
                 2.930 
                 3.700 
                 4.350 
                 — 
               
               
                 16 
                 2.410 
                 2.300 
                 2.660 
                 3.030 
                 3.760 
                 — 
                 — 
               
               
                 17 
                 2.304 
                 2.000 
                 2.314 
                 3.060 
                 3.548 
                 5.304 
                 — 
               
               
                 18 
                 2.630 
                 2.220 
                 2.360 
                 3.320 
                 4.080 
                 5.810 
                 — 
               
               
                 19 
                 2.620 
                 2.210 
                 2.380 
                 3.360 
                 4.010 
                 5.700 
                 — 
               
               
                 20 
                 2.420 
                 2.230 
                 2.070 
                 2.410 
                 3.080 
                 4.230 
                 — 
               
               
                 21 
                 2.880 
                 2.630 
                 2.290 
                 2.930 
                 4.380 
                 5.510 
                 — 
               
               
                 22 
                 2.660 
                 2.490 
                 2.720 
                 3.150 
                 4.380 
                 5.810 
                 — 
               
               
                 23 
                 2.660 
                 2.470 
                 — 
                 3.130 
                 3.780 
                 5.130 
                 — 
               
               
                 24 
                 2.680 
                 2.510 
                 2.540 
                 3.000 
                 3.960 
                 5.280 
                 — 
               
               
                 25 
                 3.070 
                 2.920 
                 2.900 
                 3.320 
                 4.400 
                 5.750 
                 5.930 
               
               
                 26 
                 2.390 
                 2.090 
                 2.240 
                 2.650 
                 3.620 
                 4.780 
                 5.080 
               
               
                 27 
                 2.060 
                 1.890 
                 2.150 
                 2.700 
                 3.610 
                 4.560 
                 4.840 
               
               
                 28 
                 1.890 
                 1.840 
                 2.330 
                 2.730 
                 3.730 
                 5.430 
                 6.030 
               
               
                 29 
                 2.390 
                 2.150 
                 2.400 
                 2.820 
                 3.940 
                 5.680 
                 6.020 
               
               
                   
               
            
           
         
       
     
     Table 64 below shows in mm 3  a volume of each of the first through seventh lenses for each of Examples 1-29 described herein. L1v is a volume of the first lens, L2v is a volume of the second lens, L3v is a volume of the third lens, L4v is a volume of the fourth lens, L5v is a volume of the fifth lens, L6v is a volume of the sixth lens, and L7v is a volume of the seventh lens. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 64 
               
               
                   
               
               
                 Example 
                 L1v 
                 L2v 
                 L3v 
                 L4v 
                 L5v 
                 L6v 
                 L7v 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 2.361 
                 2.136 
                 2.508 
                 3.117 
                 4.947 
                 7.771 
                 13.630 
               
               
                 2 
                 8.018 
                 9.563 
                 9.605 
                 8.413 
                 12.033 
                 16.720 
                 28.027 
               
               
                 3 
                 7.068 
                 7.912 
                 8.188 
                 6.550 
                 7.990 
                 12.999 
                 20.487 
               
               
                 4 
                 6.344 
                 6.949 
                 7.760 
                 6.208 
                 6.896 
                 10.336 
                 16.560 
               
               
                 5 
                 5.725 
                 8.018 
                 8.377 
                 7.959 
                 10.343 
                 11.103 
                 27.151 
               
               
                 6 
                 3.948 
                 5.668 
                 5.721 
                 5.266 
                 6.019 
                 10.492 
                 20.321 
               
               
                 7 
                 5.234 
                 5.060 
                 5.146 
                 4.140 
                 5.986 
                 8.138 
                 19.681 
               
               
                 8 
                 5.387 
                 4.797 
                 5.748 
                 5.234 
                 8.644 
                 9.466 
                 23.258 
               
               
                 9 
                 5.639 
                 4.858 
                 6.675 
                 7.163 
                 11.037 
                 11.936 
                 27.122 
               
               
                 10 
                 5.199 
                 7.998 
                 6.680 
                 7.988 
                 20.416 
                 20.093 
                 36.079 
               
               
                 11 
                 6.750 
                 7.286 
                 8.850 
                 8.075 
                 13.416 
                 20.371 
                 25.358 
               
               
                 12 
                 3.812 
                 4.671 
                 4.055 
                 5.063 
                 11.284 
                 25.762 
                 16.565 
               
               
                 13 
                 5.416 
                 6.513 
                 5.011 
                 6.233 
                 8.575 
                 27.331 
                 33.722 
               
               
                 14 
                 6.276 
                 6.532 
                 7.753 
                 9.564 
                 12.572 
                 16.077 
                 29.974 
               
               
                 15 
                 4.235 
                 5.537 
                 5.593 
                 7.547 
                 9.420 
                 8.999 
                 27.326 
               
               
                 16 
                 4.653 
                 4.657 
                 6.231 
                 6.713 
                 10.267 
                 11.740 
                 33.537 
               
               
                 17 
                 5.042 
                 4.656 
                 3.428 
                 20.255 
                 7.215 
                 14.931 
                 30.446 
               
               
                 18 
                 5.187 
                 6.691 
                 4.372 
                 16.797 
                 9.254 
                 30.554 
                 39.300 
               
               
                 19 
                 5.213 
                 6.669 
                 4.416 
                 18.623 
                 8.042 
                 29.510 
                 40.895 
               
               
                 20 
                 3.768 
                 3.460 
                 4.028 
                 5.007 
                 6.979 
                 11.351 
                 18.888 
               
               
                 21 
                 5.617 
                 7.960 
                 6.846 
                 7.224 
                 12.525 
                 12.815 
                 28.597 
               
               
                 22 
                 9.538 
                 6.253 
                 6.836 
                 7.614 
                 9.636 
                 19.918 
                 32.859 
               
               
                 23 
                 11.129 
                 6.012 
                 5.802 
                 9.643 
                 7.925 
                 20.060 
                 37.307 
               
               
                 24 
                 5.111 
                 5.865 
                 6.312 
                 10.093 
                 12.273 
                 29.379 
                 26.367 
               
               
                 25 
                 6.801 
                 6.939 
                 8.141 
                 8.791 
                 14.589 
                 27.072 
                 34.703 
               
               
                 26 
                 5.147 
                 4.509 
                 4.470 
                 4.812 
                 8.939 
                 18.212 
                 35.936 
               
               
                 27 
                 3.810 
                 3.975 
                 3.927 
                 6.189 
                 7.516 
                 13.035 
                 31.859 
               
               
                 28 
                 4.752 
                 4.366 
                 6.456 
                 5.072 
                 9.867 
                 36.871 
                 47.470 
               
               
                 29 
                 5.627 
                 4.949 
                 5.142 
                 5.079 
                 9.362 
                 31.583 
                 47.908 
               
               
                   
               
            
           
         
       
     
     Table 65 below shows in mg a weight of each of the first through seventh lenses for each of Examples 1-29 described herein. L1w is a weight of the first lens, L2w is a weight of the second lens, L3w is a weight of the third lens, L4w is a weight of the fourth lens, L5w is a weight of the fifth lens, L6w is a weight of the sixth lens, and L7w is a weight of the seventh lens. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 65 
               
               
                   
               
               
                 Example 
                 L1w 
                 L2w 
                 L3w 
                 L4w 
                 L5w 
                 L6w 
                 L7w 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 2.455 
                 2.628 
                 2.608 
                 3.242 
                 6.184 
                 9.714 
                 13.767 
               
               
                 2 
                 8.339 
                 9.945 
                 12.007 
                 10.516 
                 12.514 
                 20.900 
                 28.307 
               
               
                 3 
                 7.351 
                 8.229 
                 10.235 
                 8.188 
                 8.310 
                 16.249 
                 20.692 
               
               
                 4 
                 6.598 
                 7.227 
                 9.700 
                 7.760 
                 7.172 
                 12.921 
                 16.725 
               
               
                 5 
                 5.954 
                 8.339 
                 10.472 
                 9.710 
                 12.619 
                 11.547 
                 28.237 
               
               
                 6 
                 4.106 
                 5.894 
                 7.151 
                 6.424 
                 7.343 
                 10.912 
                 21.134 
               
               
                 7 
                 5.444 
                 6.223 
                 5.351 
                 4.306 
                 7.362 
                 8.463 
                 20.468 
               
               
                 8 
                 5.602 
                 5.901 
                 5.978 
                 5.443 
                 10.632 
                 9.844 
                 24.188 
               
               
                 9 
                 5.865 
                 5.052 
                 8.344 
                 8.953 
                 11.478 
                 14.920 
                 27.393 
               
               
                 10 
                 5.407 
                 8.318 
                 8.351 
                 8.307 
                 21.233 
                 25.116 
                 37.522 
               
               
                 11 
                 7.020 
                 7.578 
                 11.062 
                 10.093 
                 13.952 
                 25.464 
                 26.372 
               
               
                 12 
                 3.964 
                 5.746 
                 4.217 
                 5.266 
                 14.106 
                 26.792 
                 17.227 
               
               
                 13 
                 5.633 
                 8.011 
                 5.212 
                 6.483 
                 10.547 
                 28.424 
                 34.059 
               
               
                 14 
                 6.527 
                 8.034 
                 8.063 
                 9.947 
                 15.463 
                 16.720 
                 31.173 
               
               
                 15 
                 4.404 
                 6.810 
                 5.817 
                 7.849 
                 11.587 
                 9.359 
                 28.419 
               
               
                 16 
                 4.839 
                 5.728 
                 6.480 
                 6.982 
                 12.629 
                 12.210 
                 34.879 
               
               
                 17 
                 5.244 
                 5.726 
                 4.216 
                 21.065 
                 9.018 
                 18.664 
                 30.751 
               
               
                 18 
                 5.394 
                 8.230 
                 5.377 
                 17.469 
                 11.568 
                 38.192 
                 39.693 
               
               
                 19 
                 5.422 
                 8.203 
                 5.432 
                 19.368 
                 10.052 
                 36.887 
                 41.304 
               
               
                 20 
                 3.919 
                 3.598 
                 4.954 
                 5.207 
                 8.724 
                 11.805 
                 19.643 
               
               
                 21 
                 5.842 
                 8.279 
                 8.558 
                 9.030 
                 15.657 
                 13.327 
                 29.741 
               
               
                 22 
                 9.919 
                 7.816 
                 7.110 
                 9.365 
                 11.756 
                 20.715 
                 34.174 
               
               
                 23 
                 11.574 
                 7.515 
                 6.034 
                 11.861 
                 9.669 
                 20.863 
                 38.799 
               
               
                 24 
                 5.315 
                 6.100 
                 7.891 
                 10.497 
                 12.764 
                 30.554 
                 27.422 
               
               
                 25 
                 7.073 
                 7.217 
                 10.176 
                 9.142 
                 18.237 
                 28.155 
                 36.091 
               
               
                 26 
                 5.352 
                 5.546 
                 5.497 
                 5.005 
                 11.173 
                 22.765 
                 36.295 
               
               
                 27 
                 3.962 
                 4.889 
                 4.084 
                 7.612 
                 7.817 
                 13.556 
                 33.133 
               
               
                 28 
                 4.942 
                 5.370 
                 6.714 
                 5.275 
                 12.334 
                 38.345 
                 47.945 
               
               
                 29 
                 5.852 
                 6.087 
                 5.348 
                 5.282 
                 11.516 
                 32.847 
                 48.387 
               
               
                   
               
            
           
         
       
     
     Table 66 below shows in mm an overall outer diameter (including a rib) of each of the first to seventh lenses for each of Examples 1-29 described herein. L1TR is an overall outer diameter of the first lens, L2TR is an overall outer diameter of the second lens, L3TR is an overall outer diameter of the third lens, L4TR is an overall outer diameter of the fourth lens, L5TR is an overall outer diameter of the fifth lens, L6TR is an overall outer diameter of the sixth lens, and L7TR is an overall outer diameter of the seventh lens. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 66 
               
               
                   
               
               
                 Example 
                 L1TR 
                 L2TR 
                 L3TR 
                 L4TR 
                 L5TR 
                 L6TR 
                 L7TR 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 3.380 
                 3.580 
                 1.940 
                 4.180 
                 4.880 
                 5.500 
                 5.700 
               
               
                 2 
                 2.440 
                 2.540 
                 2.690 
                 2.900 
                 3.190 
                 3.440 
                 3.620 
               
               
                 3 
                 2.280 
                 2.400 
                 2.530 
                 2.630 
                 2.780 
                 3.150 
                 3.250 
               
               
                 4 
                 2.290 
                 2.400 
                 2.540 
                 2.630 
                 2.780 
                 2.910 
                 3.040 
               
               
                 5 
                 2.460 
                 2.580 
                 2.690 
                 2.800 
                 3.170 
                 3.310 
                 3.470 
               
               
                 6 
                 2.060 
                 2.190 
                 2.300 
                 2.360 
                 2.520 
                 2.830 
                 3.080 
               
               
                 7 
                 4.220 
                 4.420 
                 4.540 
                 4.720 
                 5.400 
                 5.740 
                 6.300 
               
               
                 8 
                 4.280 
                 4.480 
                 4.610 
                 4.870 
                 5.040 
                 5.750 
                 6.060 
               
               
                 9 
                 4.210 
                 4.300 
                 4.440 
                 4.840 
                 5.470 
                 6.120 
                 6.900 
               
               
                 10 
                 4.470 
                 4.560 
                 4.700 
                 5.030 
                 6.660 
                 7.180 
                 7.430 
               
               
                 11 
                 4.730 
                 4.820 
                 4.960 
                 5.290 
                 5.880 
                 6.810 
                 7.060 
               
               
                 12 
                 3.510 
                 3.810 
                 4.390 
                 4.980 
                 5.850 
                 6.150 
                 6.250 
               
               
                 13 
                 4.050 
                 4.290 
                 4.670 
                 5.260 
                 5.820 
                 6.690 
                 7.080 
               
               
                 14 
                 4.270 
                 4.460 
                 5.040 
                 5.630 
                 6.500 
                 6.900 
                 7.100 
               
               
                 15 
                 3.930 
                 4.130 
                 4.710 
                 6.170 
                 5.300 
                 6.570 
                 6.670 
               
               
                 16 
                 4.030 
                 4.230 
                 4.810 
                 5.400 
                 6.270 
                 6.670 
                 6.770 
               
               
                 17 
                 4.202 
                 4.386 
                 4.788 
                 5.292 
                 6.180 
                 6.682 
                 6.858 
               
               
                 18 
                 4.490 
                 4.690 
                 5.260 
                 5.850 
                 6.730 
                 7.130 
                 7.330 
               
               
                 19 
                 4.490 
                 4.690 
                 5.260 
                 5.850 
                 6.730 
                 7.120 
                 7.320 
               
               
                 20 
                 3.830 
                 4.030 
                 4.230 
                 4.830 
                 5.320 
                 5.720 
                 5.920 
               
               
                 21 
                 4.630 
                 4.830 
                 5.030 
                 5.830 
                 6.320 
                 6.720 
                 6.920 
               
               
                 22 
                 4.830 
                 5.130 
                 5.430 
                 6.230 
                 6.720 
                 7.120 
                 7.320 
               
               
                 23 
                 4.830 
                 5.030 
                 5.230 
                 6.030 
                 6.520 
                 6.920 
                 7.120 
               
               
                 24 
                 4.260 
                 4.350 
                 4.490 
                 4.890 
                 5.520 
                 6.750 
                 7.260 
               
               
                 25 
                 4.710 
                 4.800 
                 4.930 
                 5.370 
                 6.220 
                 7.250 
                 7.680 
               
               
                 26 
                 4.100 
                 4.190 
                 4.320 
                 4.720 
                 5.350 
                 6.170 
                 7.030 
               
               
                 27 
                 3.730 
                 3.820 
                 3.960 
                 4.390 
                 4.960 
                 6.000 
                 6.860 
               
               
                 28 
                 3.970 
                 4.060 
                 4.190 
                 4.630 
                 5.200 
                 7.150 
                 8.020 
               
               
                 29 
                 4.390 
                 4.480 
                 4.610 
                 5.040 
                 5.610 
                 7.090 
                 7.950 
               
               
                   
               
            
           
         
       
     
     Table 67 below shows in mm a thickness of a flat portion of the rib of each of the first to seventh lenses for each of Examples 1-29 described herein. L1rt is a thickness of a flat portion of the rib of the first lens, L2rt is a thickness of a flat portion of the rib of the second lens, L3rt is a thickness of a flat portion of the rib of the third lens, L4rt is a thickness of a flat portion of the rib of the fourth lens, L5rt is a thickness of a flat portion of the rib of the fifth lens, L6rt is a thickness of a flat portion of the rib of the sixth lens, and L7rt is a thickness of a flat portion of the rib of the seventh lens. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 67 
               
               
                   
               
               
                 Example 
                 L1rt 
                 L2rt 
                 L3rt 
                 L4rt 
                 L5rt 
                 L6rt 
                 L7rt 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 0.245 
                 0.260 
                 0.255 
                 0.240 
                 0.305 
                 0.275 
                 0.405 
               
               
                 2 
                 0.600 
                 0.580 
                 0.560 
                 0.470 
                 0.340 
                 0.400 
                 0.470 
               
               
                 3 
                 0.600 
                 0.540 
                 0.540 
                 0.440 
                 0.250 
                 0.380 
                 0.420 
               
               
                 4 
                 0.540 
                 0.500 
                 0.520 
                 0.420 
                 0.210 
                 0.390 
                 0.400 
               
               
                 5 
                 0.390 
                 0.440 
                 0.470 
                 0.360 
                 0.420 
                 0.380 
                 0.470 
               
               
                 6 
                 0.460 
                 0.440 
                 0.460 
                 0.410 
                 0.310 
                 0.380 
                 0.460 
               
               
                 7 
                 0.435 
                 0.430 
                 0.360 
                 0.215 
                 0.320 
                 0.330 
                 0.405 
               
               
                 8 
                 0.440 
                 0.400 
                 0.390 
                 0.360 
                 0.380 
                 0.470 
                 0.690 
               
               
                 9 
                 0.550 
                 0.380 
                 0.580 
                 0.410 
                 0.500 
                 0.320 
                 0.530 
               
               
                 10 
                 0.490 
                 0.530 
                 0.520 
                 0.370 
                 0.620 
                 0.520 
                 0.690 
               
               
                 11 
                 0.600 
                 0.440 
                 0.600 
                 0.460 
                 0.580 
                 0.600 
                 0.440 
               
               
                 12 
                 0.482 
                 0.395 
                 0.316 
                 0.328 
                 0.422 
                 0.885 
                 0.409 
               
               
                 13 
                 0.634 
                 0.643 
                 0.375 
                 0.356 
                 0.312 
                 0.828 
                 0.984 
               
               
                 14 
                 0.508 
                 0.554 
                 0.444 
                 0.473 
                 0.410 
                 0.438 
                 0.522 
               
               
                 15 
                 0.431 
                 0.556 
                 0.361 
                 0.429 
                 0.380 
                 0.380 
                 0.667 
               
               
                 16 
                 0.431 
                 0.457 
                 0.361 
                 0.364 
                 0.380 
                 0.334 
                 0.729 
               
               
                 17 
                 0.439 
                 0.446 
                 0.280 
                 0.866 
                 0.225 
                 0.359 
                 0.763 
               
               
                 18 
                 0.431 
                 0.493 
                 0.255 
                 0.735 
                 0.252 
                 0.675 
                 0.886 
               
               
                 19 
                 0.431 
                 0.493 
                 0.255 
                 0.790 
                 0.198 
                 0.637 
                 0.886 
               
               
                 20 
                 0.390 
                 0.330 
                 0.300 
                 0.260 
                 0.425 
                 0.550 
                 0.534 
               
               
                 21 
                 0.540 
                 0.480 
                 0.460 
                 0.250 
                 0.555 
                 0.395 
                 0.688 
               
               
                 22 
                 0.570 
                 0.400 
                 0.310 
                 0.220 
                 0.355 
                 0.570 
                 0.625 
               
               
                 23 
                 0.620 
                 0.400 
                 0.270 
                 0.430 
                 0.300 
                 0.520 
                 0.760 
               
               
                 24 
                 0.500 
                 0.410 
                 0.510 
                 0.540 
                 0.520 
                 0.970 
                 0.550 
               
               
                 25 
                 0.530 
                 0.410 
                 0.560 
                 0.570 
                 0.480 
                 0.600 
                 0.620 
               
               
                 26 
                 0.460 
                 0.400 
                 0.390 
                 0.260 
                 0.430 
                 0.540 
                 0.830 
               
               
                 27 
                 0.400 
                 0.420 
                 0.370 
                 0.500 
                 0.320 
                 0.460 
                 0.720 
               
               
                 28 
                 0.470 
                 0.410 
                 0.450 
                 0.410 
                 0.470 
                 0.930 
                 0.700 
               
               
                 29 
                 0.440 
                 0.390 
                 0.400 
                 0.400 
                 0.380 
                 0.740 
                 0.720 
               
               
                   
               
            
           
         
       
     
     Table 68 below shows, for each of Examples 1-29 described herein, dimensionless values of each of the ratio L1w/L7w in Conditional Expressions 1 and 6, the ratio S6d/f in Conditional Expressions 2 and 7, the ratio L1TR/L7TR in Conditional Expressions 3 and 8, the ratio L1234TRavg/L7TR in Conditional Expressions 4 and 9, and the ratio L12345TRavg/L7TR in Conditional Expressions 5 and 10. The dimensionless value of each of these ratios is obtained by dividing two values expressed in a same unit of measurement. 
     
       
         
           
               
               
               
               
               
               
             
               
                 TABLE 68 
               
               
                   
               
               
                   
                 L1w/ 
                   
                 L1TR/ 
                 L1234TRavg/ 
                 L12345TRavg/ 
               
               
                 Example 
                 L7w 
                 S6d/f 
                 L7TR 
                 L7TR 
                 L7TR 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 1 
                 0.178 
                 1.155 
                 0.5930 
                 0.574 
                 0.630 
               
               
                 2 
                 0.295 
                 0.634 
                 0.6740 
                 0.7300 
                 0.7602 
               
               
                 3 
                 0.355 
                 0.632 
                 0.7015 
                 0.7569 
                 0.7766 
               
               
                 4 
                 0.394 
                 0.623 
                 0.7533 
                 0.8109 
                 0.8316 
               
               
                 5 
                 0.211 
                 0.611 
                 0.7089 
                 0.7586 
                 0.7896 
               
               
                 6 
                 0.194 
                 0.595 
                 0.6688 
                 0.7232 
                 0.7422 
               
               
                 7 
                 0.266 
                 1.131 
                 0.6698 
                 0.7103 
                 0.7397 
               
               
                 8 
                 0.232 
                 1.039 
                 0.7063 
                 0.7525 
                 0.7683 
               
               
                 9 
                 0.214 
                 1.111 
                 0.6101 
                 0.6446 
                 0.6742 
               
               
                 10 
                 0.144 
                 0.919 
                 0.6016 
                 0.6312 
                 0.6843 
               
               
                 11 
                 0.266 
                 1.079 
                 0.6700 
                 0.7011 
                 0.7275 
               
               
                 12 
                 0.230 
                 1.043 
                 0.5616 
                 0.6676 
                 0.7213 
               
               
                 13 
                 0.165 
                 1.119 
                 0.5720 
                 0.6451 
                 0.6805 
               
               
                 14 
                 0.209 
                 1.315 
                 0.6014 
                 0.6831 
                 0.7296 
               
               
                 15 
                 0.155 
                 0.989 
                 0.5892 
                 0.7099 
                 0.7268 
               
               
                 16 
                 0.139 
                   
                 0.5953 
                 0.6821 
                 0.7309 
               
               
                 17 
                 0.171 
                 1.189 
                 0.6127 
                 0.6805 
                 0.7246 
               
               
                 18 
                 0.136 
                 1.236 
                 0.6126 
                 0.6920 
                 0.7372 
               
               
                 19 
                 0.131 
                 1.234 
                 0.6134 
                 0.6930 
                 0.7383 
               
               
                 20 
                 0.200 
                 1.052 
                 0.6470 
                 0.7145 
                 0.7514 
               
               
                 21 
                 0.196 
                 1.272 
                 0.6691 
                 0.7341 
                 0.7699 
               
               
                 22 
                 0.290 
                 1.266 
                 0.6598 
                 0.7384 
                 0.7743 
               
               
                 23 
                 0.298 
                 1.083 
                 0.6784 
                 0.7416 
                 0.7764 
               
               
                 24 
                 0.194 
                 1.186 
                 0.5868 
                 0.6195 
                 0.6477 
               
               
                 25 
                 0.196 
                 1.192 
                 0.6133 
                 0.6449 
                 0.6779 
               
               
                 26 
                 0.147 
                 1.041 
                 0.5832 
                 0.6163 
                 0.6452 
               
               
                 27 
                 0.120 
                 1.060 
                 0.5437 
                 0.5794 
                 0.6082 
               
               
                 28 
                 0.103 
                 1.093 
                 0.4950 
                 0.5252 
                 0.5499 
               
               
                 29 
                 0.121 
                 1.217 
                 0.5522 
                 0.5824 
                 0.6070 
               
               
                   
               
            
           
         
       
     
       FIGS.  59  and  60    are cross-sectional views illustrating examples of an optical imaging system and a lens barrel coupled to each other. 
     The examples of an optical imaging system  100  described in this application may include a self-alignment structure as illustrated in  FIGS.  59  and  60   . 
     In one example illustrated in  FIG.  59   , the optical imaging system  100  includes a self-alignment structure in which optical axes of four consecutive lenses  1000 ,  2000 ,  3000 , and  4000  are aligned with an optical axis of the optical imaging system  100  by coupling the four lenses  1000 ,  2000 ,  3000 , and  4000  to one another. 
     The first lens  1000  disposed closest to object side of the optical imaging system  100  is disposed in contact with an inner surface of a lens barrel  200  to align the optical axis of the first lens  1000  with the optical axis of the optical imaging system  100 , the second lens  2000  is coupled to the first lens  1000  to align the optical axis of the second lens  2000  with the optical axis of the optical imaging system  100 , the third lens  3000  is coupled to the second lens  2000  to align the optical axis of the third lens  3000  with the optical axis of the optical imaging system  100 , and the fourth lens  4000  is coupled to the third lens  3000  to align the optical axis of the fourth lens  4000  with the optical axis of the optical imaging system  100 . The second lens  2000  to the fourth lens  4000  may not be disposed in contact with the inner surface of the lens barrel  200 . 
     Although  FIG.  59    illustrates that the first lens  1000  to the fourth lens  4000  are coupled to one another, the four consecutive lenses that are coupled to one another may be changed to the second lens  2000  to a fifth lens  5000 , the third lens  3000  to a sixth lens  6000 , or the fourth lens  4000  to a seventh lens  7000 . 
     In another example illustrated in  FIG.  60   , the optical imaging system  100  includes a self-alignment structure in which optical axes of five consecutive lenses  1000 ,  2000 ,  3000 ,  4000 , and  5000  are aligned with an optical axis of the optical imaging system  100  by coupling the five lenses  1000 ,  2000 ,  3000 ,  4000 , and  5000  to one another. 
     The first lens  1000  disposed closest to an object side of the optical imaging system  100  is disposed in contact with an inner surface of the lens barrel  200  to align an optical axis of the first lens  1000  with the optical axis of the optical imaging system  100 , the second lens  2000  is coupled to the first lens  1000  to align the optical axis of the second lens  2000  with the optical axis of the optical imaging system  100 , the third lens  3000  is coupled to the second lens  2000  to align the optical axis of the third lens  3000  with the optical axis of the optical imaging system  100 , the fourth lens  4000  is coupled to the third lens  3000  to align the optical axis of the fourth lens  4000  with the optical axis of the optical imaging system  100 , and the fifth lens  5000  is coupled to the fourth lens  4000  to align the optical axis of the fifth lens  5000  with the optical axis of the optical imaging system  100 . The second lens  2000  to the fifth lens  5000  may not be disposed in contact with the inner surface of the lens barrel  200 . 
     Although  FIG.  60    illustrates that the first lens  1000  to the fifth lens  5000  are coupled to one another, the five consecutive lenses that are coupled to one another may be changed to the second lens  2000  to a sixth lens  6000 , or the third lens  3000  to a seventh lens  7000 . 
       FIG.  61    is a cross-sectional view illustrating an example of a seventh lens. 
       FIG.  61    illustrates the overall outer diameter (L7TR) of the seventh lens, the thickness (L7rt) of the flat portion of the rib of the seventh lens, the thickness (L7edgeT) of the edge of the seventh lens, the thickness (Yc71P1) of the seventh lens at the first inflection point on the object-side surface of the seventh lens, the thickness (Yc71P2) of the seventh lens at the second inflection point on the object-side surface of the seventh lens, and the thickness (Yc72P1) of the seventh lens at the first inflection point on the image-side surface of the seventh lens. Although not illustrated in  FIG.  61   , the seventh lens may also have a second inflection point on the image-side surface of the seventh lens, and a thickness of the seventh lens at this inflection point is Yc72P2 as listed in Table 62. 
       FIG.  62    is a cross-sectional view illustrating an example of a shape of a rib of a lens. 
     The examples of the optical imaging system  100  described in this application may include a structure for preventing a flare phenomenon and reflection. 
     For example, the ribs of the first to seventh lenses  1000 ,  2000 ,  3000 ,  4000 ,  5000 ,  6000 , and  7000  of the optical imaging system may be partially surface-treated to make the surface of the rib rough as shown in  FIG.  62   . Methods of surface treatment may include chemical etching, physical grinding, or any other surface treatment method capable of increasing a roughness of a surface. 
     A surface-treated area EA may be formed in an entire area from an edge of the optical portion of the lens through which light actually passes to an outer end of the rib. However, as illustrated in  FIG.  62   , non-treated areas NEA including step portions E11, E21, and E22 may not be surface-treated, or may be surface-treated to have a roughness less than a roughness of the surface-treated area EA. The step portions E11, E21, and E22 are portions where the thickness of the rib abruptly changes. A width G1 of a first non-treated area NEA formed on an object-side surface of the lens and including a first step portion E11 may be different from a width G2 of a second non-treated area NEA formed on an image-side surface of the lens and including a second step portion E21 and a third step portion E22. In the example illustrated in  FIG.  62   , G1 is greater than G2. 
     The width G1 of the first non-treated area NEA includes the first step portion E11, the second step portion E21, and the third step portion E22 when viewed in an optical axis direction, and the width G2 of the second non-treated area NEA includes the second step portion E21 and the third step portion E22 but not the first step portion E11 when viewed in the optical axis direction. A distance G4 from the outer end of the rib to the second step portion E21 is smaller than a distance G3 from the outer end of the rib to the first step portion E11. Also, a distance G5 from the outer end of the rib to the third step portion E22 is smaller than the distance G3 from the outer end of the rib to the first step portion E11. 
     The positions at which the non-treated areas NEA and the step portions E11, E21, and E22 are formed as described above and shown in  FIG.  62    may be advantageous for measuring a concentricity of the lens. 
     The examples described above enable the optical imaging system to be miniaturized and aberrations to be easily corrected. 
     While this disclosure includes specific examples, it will be apparent after an understanding of the disclosure of this application that various changes in form and details may be made in these examples without departing from the spirit and scope of the claims and their equivalents. The examples described herein are to be considered in a descriptive sense only, and not for purposes of limitation. Descriptions of features or aspects in each example are to be considered as being applicable to similar features or aspects in other examples. Suitable results may be achieved if the described techniques are performed in a different order, and/or if components in a described system, architecture, device, or circuit are combined in a different manner, and/or replaced or supplemented by other components or their equivalents. Therefore, the scope of the disclosure is defined not by the detailed description, but by the claims and their equivalents, and all variations within the scope of the claims and their equivalents are to be construed as being included in the disclosure.