Patent Publication Number: US-11644643-B2

Title: Optical imaging system

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation of U.S. patent application Ser. No. 16/424,535 filed on May 29, 2019, now U.S. Pat. No. 11,002,943 issued on May 11, 2021, which claims the benefit under 35 USC 119(a) of Korean Patent Application Nos. 10-2018-0061409 filed on May 29, 2018, and 10-2018-0106170 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. 
     2. Description of Related Art 
     Recently, mobile communications terminals have been provided with camera modules, enabling video calling and image capturing. In addition, as utilization of the camera modules mounted in the mobile communications terminals has increased, camera modules for the mobile communications terminals have gradually been required to have high resolution and performance. 
     Therefore, the number of lenses included in the camera module has increased. However, since the mobile communications terminal in which the camera module is mounted tends to be miniaturized, it is very difficult to arrange the lenses in the camera module. 
     Therefore, research into technology capable of performing aberration correction to implement high resolution and arranging a plurality of lenses in a limited space has been ongoing. 
     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; and a spacer disposed between the sixth and seventh lenses, wherein the optical imaging system satisfies 0.5&lt;S6d/f&lt;1.4, 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 may further satisfy 0.5&lt;S6d/f&lt;1.2. 
     The optical imaging system may further 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 satisfy 0.4&lt;L1TR/L7TR&lt;0.7, where L1TR is an overall outer diameter of the first lens, L7TR is an overall outer diameter of the seventh lens, and L1TR and L7TR are expressed in a same unit of measurement. 
     The optical imaging system may further 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, L7TR is an overall outer diameter of the seventh lens, and L1234TRavg and L7TR are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0.5&lt;L12345TRavg/L7TR&lt;0.76, 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. 
     The optical imaging system may further satisfy 0.1&lt;(1/f1+1/f2+1/f3+1/f4+1/f5+1/f6+1/f7)*f&lt;0.8, where 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 f1, f2, f3, f4, f5, f6, f7, and f are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0.1&lt;(1/f1+1/f2+1/f3+1/f4+1/f5+1/f6+1/f7)*TTL&lt;1.0, where 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, TTL is a distance along the optical axis from an object-side surface of the first lens to the imaging plane, and f1, f2, f3, f4, f5, f6, f7, and TTL are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0.2&lt;TD1/D67&lt;0.8, where TD1 is a thickness along the optical axis of the first lens, D67 is a distance along the optical axis from an object-side surface of the sixth lens to an image-side surface of the seventh lens, and TD1 and D67 are expressed in a same unit of measurement. 
     The imaging plane may be an imaging plane of an image sensor, and the optical imaging system may further satisfy TTL 6.00 mm and 0.6&lt;TTL/(2*IMG HT)&lt;0.9, where TTL is a distance along the optical axis from an object-side surface of the first lens to the imaging plane of the image sensor, IMG HT is one-half of a diagonal length of the imaging plane of the image sensor, and TTL and IMG HT are expressed in mm. 
     The optical imaging system may further satisfy 0.2&lt;ΣSD/ΣTD&lt;0.7, where ΣSD is a sum of air gaps along the optical axis between the first to seventh lenses, ΣTD is a sum of thicknesses along the optical axis of the first to seventh lenses, and ΣSD and ΣTD are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0&lt;min(f1:f3)/max(f4:f7)&lt;0.4, where min(f1:f3) is a minimum value of absolute values of focal lengths of the first to third lenses, max(f4:f7) is a maximum value of absolute values of focal lengths of the fourth to seventh lenses, and min(f1:f3) and max(f4:f7) are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0.4&lt;ΣTD/TTL&lt;0.7, where ΣTD is a sum of thicknesses along the optical axis of the first to seventh lenses, TTL is a distance along the optical axis from an object-side surface of the first lens to the imaging plane, and ΣTD and TTL are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0.81&lt;f12/f123&lt;0.96, where 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 f12 and f123 are expressed in a same unit of measurement. 
     The optical imaging system may further satisfy 0.6&lt;f12/f1234&lt;0.84, where f12 is a composite focal length of the first and second lenses, f1234 is a composite focal length of the first to fourth lenses, and f12 and f1234 are expressed in a same unit of measurement. 
     The second lens may have a positive refractive power, and the third lens may have a negative refractive power. 
     The fifth lens may have a negative refractive power, and a paraxial region of an object-side surface of the fifth lens may be concave or convex. 
     The fifth lens may have a negative refractive power, and 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 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   . 
         FIGS.  55  and  56    are cross-sectional views illustrating examples of an optical imaging system and a lens barrel coupled to each other. 
         FIG.  57    is a cross-sectional view illustrating an example of a shape of a rib of a seventh lens. 
         FIG.  58    is a cross-sectional view illustrating an example of a seventh 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. 
       FIGS.  55  and  56    are cross-sectional views illustrating examples of an optical imaging system and a lens barrel coupled to each other. 
     Referring to  FIGS.  55  and  56   , an optical imaging system  100  includes a plurality of lenses disposed along an optical axis. In addition, the optical imaging system  100  further includes a lens barrel  200  accommodating the plurality of lenses therein. The plurality of lenses are spaced apart from each other by predetermined distances along the optical axis. 
     Each lens of the optical imaging system  100  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 the lens barrel  200  and the optical axis of the lens to be aligned with the optical axis of the optical imaging system  100 . The rib of the lens extends radially outward from the optical portion, and may be formed integrally with 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  200  so that they are spaced apart from one another by predetermined distances along the optical axis of the optical imaging system  100 . 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  100 . 
     The examples of the optical imaging system  100  described in this application may include a self-alignment structure as illustrated in  FIGS.  55  and  56   . 
     In one example illustrated in  FIG.  55   , 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 an object side of the optical imaging system  100  is disposed in contact with an inner surface of the 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.  55    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.  56   , 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.  56    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 . 
     The first lens  1000  is a lens closest to an object (or a subject) to be imaged by the optical imaging system  100 , while the seventh lens  7000  is a lens closest to an image sensor (not shown in  FIGS.  55  and  56   , but see the image sensor  190  in  FIG.  1   , for example). 
     In addition, an object-side surface of a lens is a surface of the lens facing the object, and an image-side surface of a lens is a surface of the lens facing the image sensor. 
     The examples of the optical imaging system  100  disclosed in this application include seven lenses. 
     For example, referring to  FIGS.  55  and  56   , the optical imaging system  100  includes a first lens  1000 , a second lens  2000 , a third lens  3000 , a fourth lens  4000 , a fifth lens  5000 , a sixth lens  6000 , and a seventh lens  7000  sequentially disposed in numerical order along an optical axis of the optical imaging system  100  from an object side of the optical imaging system  100  toward an imaging plane of the optical imaging system  100 . 
     The optical imaging system  100  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. 
     In addition, the optical imaging system  100  further includes a stop to adjust an amount of light incident on the imaging plane. For example, the stop may be disposed in front of the first lens  1000 , or between the first lens  1000  and the second lens  2000 , or between the second lens  2000  and the third lens  3000 , or at the position of either an object-side surface or an image-side surface of one of the first lens  1000  to the third lens  3000 . The stop may be disposed relatively close to the first lens  1000  to reduce a total length (TTL) of the optical imaging system  100 . Some examples may include two stops, one of which may be disposed in front of the first lens  1000 , or at the position of the object-side surface of the first lens  1000 , or between the object-side surface and the image-side surface of the first lens  1000 . 
     In the examples illustrated in  FIGS.  55  and  56   , a spacer is disposed between each pair of adjacent lenses. At least a portion of the rib of each lens is in contact with one or two of the spacers. The spacers maintain spacings between the lenses, and block stray light from reaching the imaging plane. 
     The spacers include a first spacer SP 1 , a second spacer SP 2 , a third spacer SP 3 , a fourth spacer SP 4 , a fifth spacer SP 5 , and a sixth spacer SP 6  disposed from the object side of the optical imaging system  100  toward the image sensor. In some examples, the spacers further include a seventh spacer SP 7 . 
     The first spacer SP 1  is disposed between the first lens  1000  and the second lens  2000 , the second spacer SP 2  is disposed between the second lens  2000  and the third lens  3000 , the third spacer SP 3  is disposed between the third lens  3000  and the fourth lens  4000 , the fourth spacer SP 4  is disposed between the fourth lens  4000  and the fifth lens  5000 , the fifth spacer SP 5  is disposed between the fifth lens  5000  and the sixth lens  6000 , and the sixth spacer SP 6  is disposed between the sixth lens  6000  and the seventh lens  7000 . When the seventh spacer SP 7  is included, the seventh spacer SP 7  is disposed between the sixth lens  6000  and the sixth spacer SP 6 . A thickness of the seventh spacer SP 7  in an optical axis direction may be greater than a thickness of the sixth spacer SP 6  in the optical axis direction. 
     The first lens has a positive refractive power or a negative refractive power. In addition, the first lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the first lens may be convex, and an image-side surface thereof may be concave. 
     At least one of the object-side surface and the image-side surface of the first lens may be aspherical. For example, both surfaces of the first lens may be aspherical. 
     The second lens has a positive refractive power or a negative refractive power. In addition, the second lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the second lens may be convex, and an image-side surface thereof may be concave. 
     Alternatively, both surfaces of the second lens may be convex. In detail, the object-side surface and the image-side surface of the second lens may be convex. 
     At least one of the object-side surface and the image-side surface of the second lens may be aspherical. For example, both surfaces of the second lens may be aspherical. 
     The third lens has a positive refractive power or a negative refractive power. In addition, the third lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the third lens may be convex, and an image-side surface thereof may be concave. 
     Alternatively, both surfaces of the third lens may be convex. In detail, the object-side surface and the image-side surface of the third lens may be convex. 
     Alternatively, the third lens may have a meniscus shape of which an image-side surface is convex. In detail, an object-side surface of the third lens may be concave, and an image-side surface thereof may be convex. 
     At least one of the object-side surface and the image-side surface of the third lens may be aspherical. For example, both surfaces of the third lens may be aspherical. 
     The fourth lens has a positive refractive power or a negative refractive power. In addition, the fourth lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the fourth lens may be convex, and an image-side surface thereof may be concave. 
     Alternatively, both surfaces of the fourth lens may be convex. In detail, the object-side surface and the image-side surface of the fourth lens may be convex. 
     Alternatively, the fourth lens may have a meniscus shape of which an image-side surface is convex. In detail, an object-side surface of the fourth lens may be concave, and an image-side surface thereof may be convex. 
     At least one of the object-side surface and the image-side surface of the fourth lens may be aspherical. For example, both surfaces of the fourth lens may be aspherical. 
     The fifth lens has a positive refractive power or a negative refractive power. In addition, the fifth lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the fifth lens may be convex, and an image-side surface thereof may be concave. 
     Alternatively, the fifth lens may have a meniscus shape of which an image-side surface is convex. In detail, an object-side surface of the fifth lens may be concave, and an image-side surface thereof may be convex. 
     At least one of the object-side surface and the image-side surface of the fifth lens may be aspherical. For example, both surfaces of the fifth lens may be aspherical. 
     The sixth lens has a positive refractive power or a negative refractive power. In addition, the sixth lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the sixth lens may be convex, and an image-side surface thereof may be concave. 
     Alternatively, both surfaces of the sixth lens may be convex. In detail, the object-side surface and the image-side surface of the sixth lens may be convex. 
     Alternatively, the sixth lens may have a meniscus shape of which an image-side surface is convex. In detail, an object-side surface of the sixth lens may be concave, and an image-side surface thereof may be convex. 
     Alternatively, both surfaces of the sixth lens may be concave. In detail, the object-side surface and the image-side surface of the sixth lens may be concave. 
     At least one of the object-side surface and the image-side surface of the sixth lens may be aspherical. For example, both surfaces of the sixth lens may be aspherical. 
     The seventh lens has a positive refractive power or a negative refractive power. In addition, the seventh lens may have a meniscus shape of which an object-side surface is convex. In detail, an object-side surface of the seventh lens may be convex, and an image-side surface thereof may be concave. 
     Alternatively, both surfaces of the seventh lens may be concave. In detail, the object-side surface and the image-side surface of the seventh lens may be concave. 
     At least one of the object-side surface and the image-side surface of the seventh lens may be aspherical. For example, both surfaces of the seventh lens may be aspherical. 
     In addition, at least one inflection point may be formed on at least one of the object-side surface and the image-side surface of the seventh lens. 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, the object-side surface of the seventh lens may be convex in a paraxial region, and become concave toward an edge thereof. The image-side surface of the seventh lens may be concave in a paraxial region, and become convex toward an edge thereof. 
       FIG.  57    is a cross-sectional view illustrating an example of a shape of a rib of a seventh lens. 
     Light reflected from the object (or the subject) may be refracted by the first to seventh lenses. In this case, an unintended reflection of the light may occur. The unintended reflection of the light, which is light unrelated to formation of an image, may cause a flare phenomenon in a captured image. 
     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, as illustrated in  FIG.  57   , a rib of the seventh lens  7000  disposed closest to the image sensor includes a surface-treated area EA. The surface-treated area EA is a portion of a surface of the rib that has been surface-treated to be rougher than other portions of the surface of the rib. For example, the surface-treated area EA may be formed by chemical etching, physical grinding, or any other surface treatment method capable of increasing a roughness of a surface. The surface-treated area EA scatters reflected light. 
     Therefore, even though the unintended reflection of the light may occur, the reflected light is prevented from being concentrated at one point, and therefore the occurrence of the flare phenomenon may be suppressed. 
     The surface-treated area EA may be formed in an entire area from an edge of the optical portion of the seventh lens  7000  through which light actually passes to an outer end of the rib. However, as illustrated in  FIG.  57   , non-treated areas NEA including step portions E 11 , E 21 , and E 22  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 E 11 , E 21 , and E 22  are portions where the thickness of the rib abruptly changes. A first non-treated area NEA formed on an object-side surface of the seventh lens  7000  and including a first step portion E 11  and a second non-treated area NEA formed on an image-side surface of the seventh lens  7000  and including a second step portion E 12  and a third step portion E 22  may overlap when viewed in the optical axis direction. 
     A width G 1  of the first non-treated area NEA formed on the object-side surface of the seventh lens  7000  may be different from a width G 2  of the second non-treated area NEA formed on the image-side surface of the seventh lens  7000 . In the example illustrated in  FIG.  57   , G 1  is greater than G 2 . 
     The width G 1  of the first non-treated area NEA includes the first step portion E 11 , the second step portion E 21 , and the third step portion E 22  when viewed in the optical axis direction, and a width of the second non-treated area NEA includes the second step portion E 21  and the third step portion E 22  but not the first step portion E 11  when viewed in the optical axis direction. A distance G 4  from the outer end of the rib to the second step portion E 21  is smaller than a distance G 3  from the outer end of the rib to the first step portion E 11 . Similarly, a distance G 5  from the outer end of the rib to the third step portion E 22  is smaller than the distance G 3  from the outer end of the rib to the first step portion E 11 . 
     The positions at which the non-treated areas NEA and the step portions E 11 , E 21 , and E 22  are formed as described above and shown in  FIG.  57    may be advantageous for measuring a concentricity of the seventh lens  7000 . 
     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. 
     In addition, the first to seventh lenses may have at least one aspherical surface. That is, at least one of the object-side surface and the image-side surface of all of the first to seventh lenses may be aspherical. 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 
                     
                     + 
                     
                       E 
                       ⁢ 
                       
                         Y 
                         
                           1 
                           ⁢ 
                           2 
                         
                       
                     
                     + 
                     
                       FY 
                       
                         1 
                         ⁢ 
                         4 
                       
                     
                     + 
                     
                       G 
                       ⁢ 
                       
                         Y 
                         
                           1 
                           ⁢ 
                           6 
                         
                       
                     
                     + 
                     
                       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, Σ(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; 1.9  (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 an outer 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 Expression 1 is a conditional expression related to a weight ratio between the first lens and the seventh lens, and when Conditional Expression 1 is satisfied, optical axes may be easily aligned with one another through contact between the respective lenses and contact between the lenses and the lens barrel. 
     Conditional Expression 2 is a conditional expression related to a ratio between the inner diameter of the sixth spacer disposed between the sixth lens and the seventh lens and the overall focal length of the optical imaging system, and when Conditional Expression 2 is satisfied, the flare phenomenon due to the unintended reflection of the light may be suppressed. 
     Conditional Expression 3 is a conditional expression related to a ratio between the overall outer diameter of the first lens and the overall outer diameter of the seventh lens, and when Conditional Expression 3 is satisfied, optical axes may be easily aligned with one another through contact between the respective lenses and contact between the lenses and the lens barrel. 
     Conditional Expression 4 is a conditional expression related to a ratio between the average value of the overall outer diameters of the first to fourth lenses and the overall outer diameter of the seventh lens, and when Conditional Expression 4 is satisfied, aberration may be easily corrected to improve resolution. 
     Conditional Expression 5 is a conditional expression related to a ratio between the average value of the overall outer diameters of the first to fifth lenses and the overall outer diameter of the seventh lens, and when Conditional Expression 5 is satisfied, aberration may be easily corrected to improve resolution. 
     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 32:
 
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/ΣTD&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)
 
 TTL≤ 6.00  (Conditional Expression 32)
 
     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 first to seventh lenses, and ΣTD is a sum of thicknesses along the optical axis of the first to seventh lenses. An air gap is a distance along the optical axis between adjacent ones of the first to seventh 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. 
     When Conditional Expression 11 is satisfied, correction effects of longitudinal spherical aberration and astigmatic field curves may be improved, and resolution may thus be improved. 
     When Conditional Expression 12 is satisfied, correction effects of longitudinal spherical aberration and astigmatic field curves may be improved, and resolution may thus be improved. 
     When Conditional Expression 13 is satisfied, correction effects of longitudinal spherical aberration and astigmatic field curves may be improved, and resolution may thus be improved. 
     When Conditional Expression 14 is satisfied, a correction effect of longitudinal spherical aberration may be improved, and the flare phenomenon may be prevented. Therefore, resolution may be improved. 
     When Conditional Expression 15 is satisfied, a correction effect of longitudinal spherical aberration may be improved, and an imaging plane curvature phenomenon may be suppressed. Therefore, resolution may be improved. 
     When Conditional Expression 16 is satisfied, a correction effect of longitudinal spherical aberration may be improved, an imaging plane curvature phenomenon may be suppressed, and the flare phenomenon may be prevented. Therefore, resolution may be improved. 
     When Conditional Expression 17 is satisfied, a slim optical imaging system may be implemented. 
     When Conditional Expression 18 is satisfied, sensitivity of each lens may be improved to improve mass productivity. 
     When Conditional Expression 20 is satisfied, a slim optical imaging system may be implemented. 
     When Conditional Expression 22 is satisfied, a chromatic aberration correction effect may be improved. 
     When Conditional Expression 25 is satisfied, a slim optical imaging system may be implemented. 
     When Conditional Expression 26 is satisfied, mass productivity of each lens may be improved, and a slim optical imaging system may be implemented. 
     When Conditional Expression 27 is satisfied, a slim optical imaging system may be implemented. 
     When Conditional Expression 28 is satisfied, mass productivity of each lens may be improved, and a slim optical imaging system may be implemented. 
     When Conditional Expression 29 is satisfied, a slim optical imaging system may be implemented. 
     When Conditional Expression 30 is satisfied, a slim optical imaging system may be implemented. 
     When Conditional Expression 31 is satisfied, a slim optical imaging system may be implemented. 
     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 a first lens, S2 denotes an image-side surface of the first lens, S3 denotes an object-side surface of a second lens, S4 denotes an image-side surface of the second lens, S5 denotes an object-side surface of a third lens, S6 denotes an image-side surface of the third lens, S7 denotes an object-side surface of a fourth lens, S8 denotes an image-side surface of the fourth lens, S9 denotes an object-side surface of a fifth lens, S10 denotes an image-side surface of the fifth lens, S11 denotes an object-side surface of a sixth lens, S12 denotes an image-side surface of the sixth lens, S13 denotes an object-side surface of a seventh lens, S14 denotes an image-side surface of the seventh lens, S15 denotes an object-side surface of a filter, S16 denotes an image-side surface of the filter, and S17 denotes an 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   . 
     The first example of the optical imaging system includes a first lens  110 , a second lens  120 , a third lens  130 , a fourth lens  140 , a fifth lens  150 , a sixth lens  160 , a seventh lens  170 , a filter  180 , an image sensor  190 , and a stop (not shown) disposed between the second lens  120  and the third lens  130 . 
     The first lens  110  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  120  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  130  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  140  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The fifth lens  150  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  160  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  170  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  170 . For example, the object-side surface of the seventh lens  170  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  170 . For example, the image-side surface of the seventh lens  170  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  1   , the stop is disposed at a distance of 0.657 mm from the object-side surface of the first lens  110  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 1 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  1    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 1 
               
               
                   
               
               
                 Sur- 
                   
                   
                   
                 Index of 
                   
                 Effective 
               
               
                 face 
                   
                 Radius of 
                 Thickness/ 
                 Re- 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 fraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                 S1 
                 First 
                  1.30380276 
                 0.4873118 
                 1.546 
                 56.114 
                 0.90 
               
               
                 S2 
                 Lens 
                  4.10661787 
                 0.02 
                 0.86 
                   
                   
               
               
                 S3 
                 Second 
                  3.13219869 
                 0.15 
                 1.669 
                 20.353 
                 0.83 
               
               
                 S4 
                 Lens 
                  1.99733595 
                 0.1652259 
                 0.76 
                   
                   
               
               
                 S5 
                 Third 
                  3.1434573 
                 0.2269519 
                 1.546 
                 56.114 
                 0.77 
               
               
                 S6 
                 Lens 
                  5.17017622 
                 0.2383823 
                 0.80 
                   
                   
               
               
                 S7 
                 Fourth 
                 −18.619397 
                 0.2512803 
                 1.546 
                 56.114 
                 0.85 
               
               
                 S8 
                 Lens 
                 −13.597043 
                 0.242844 
                 1.00 
                   
                   
               
               
                 S9 
                 Fifth 
                  −3.8728179 
                 0.23 
                 1.658 
                 21.494 
                 1.06 
               
               
                 S10 
                 Lens 
                  −6.4514212 
                 0.1738361 
                 1.35 
                   
                   
               
               
                 S11 
                 Sixth 
                  3.37627601 
                 0.3819845 
                 1.658 
                 21.494 
                 1.61 
               
               
                 S12 
                 Lens 
                  3.69563051 
                 0.2187456 
                 1.82 
                   
                   
               
               
                 S13 
                 Seventh 
                  1.64903762 
                 0.4758711 
                 1.537 
                 55.711 
                 2.42 
               
               
                 S14 
                 Lens 
                  1.23703219 
                 0.1960644 
                 2.56 
                   
                   
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.519 
                 64.197 
                 2.91 
               
               
                 S16 
                   
                 Infinity 
                 0.6315021 
                   
                   
                 2.94 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.27 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 2 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.04855 
                 −0.0104 
                 0.079678 
                 −0.44646 
                 1.099882 
                 −1.60116 
                 1.122811 
                 −0.33899 
                 0 
               
               
                 S2 
                 −11.0924 
                 −0.12752 
                 0.167469 
                 0.110923 
                 −1.28207 
                 2.595792 
                 −2.35953 
                 0.804002 
                 0 
               
               
                 S3 
                 −1.78612 
                 −0.15851 
                 0.372646 
                 −0.41814 
                 0.573916 
                 −0.88442 
                 1.331314 
                 −0.80599 
                 0 
               
               
                 S4 
                 0.5857 
                 −0.06147 
                 0.150875 
                 0.049867 
                 −0.07429 
                 −0.56511 
                 2.092798 
                 −1.36903 
                 0 
               
               
                 S5 
                 3.760167 
                 −0.10504 
                 0.175441 
                 −1.2896 
                 5.059804 
                 −10.8279 
                 12.59218 
                 −5.43044 
                 0 
               
               
                 S6 
                 0.084295 
                 −0.07194 
                 −0.02894 
                 0.170897 
                 −0.94476 
                 3.211016 
                 −4.65595 
                 3.037354 
                 0 
               
               
                 S7 
                 5.45E−09 
                 −0.14415 
                 −0.13498 
                 0.106142 
                 −0.23108 
                 0.696801 
                 −0.58859 
                 0.153297 
                 0 
               
               
                 S8 
                 −5.2E−09 
                 −0.10523 
                 −0.05764 
                 −0.27895 
                 0.581635 
                 −0.34032 
                 0.074355 
                 −0.00428 
                 0 
               
               
                 S9 
                 −0.32032 
                 −0.09812 
                 0.288941 
                 −1.04554 
                 1.187968 
                 -0.44999 
                 −0.09128 
                 0.062806 
                 0 
               
               
                 S10 
                 8.754232 
                 −0.15044 
                 0.20833 
                 −0.46969 
                 0.543726 
                 −0.29268 
                 0.072698 
                 −0.00679 
                 0 
               
               
                 S11 
                 −50 
                 0.123875 
                 −0.5262 
                 0.671582 
                 −0.54174 
                 0.252604 
                 −0.06038 
                 0.005742 
                 0 
               
               
                 S12 
                 −34.5841 
                 0.046016 
                 −0.26854 
                 0.301454 
                 −0.1998 
                 0.076707 
                 −0.01561 
                 0.001299 
                 0 
               
               
                 S13 
                 −0.95155 
                 −0.4722 
                 0.187431 
                 −0.00725 
                 −0.01893 
                 0.007221 
                 −0.00124 
                 0.000106 
                 −3.7E−06 
               
               
                 S14 
                 −1.03036 
                 −0.43108 
                 0.275378 
                 −0.13928 
                 0.050665 
                 −0.01212 
                 0.001769 
                 −0.00014 
                 4.72E−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   . 
     The second example of the optical imaging system includes a first lens  210 , a second lens  220 , a third lens  230 , a fourth lens  240 , a fifth lens  250 , a sixth lens  260 , a seventh lens  270 , a filter  280 , an image sensor  290 , and a stop (not shown) disposed between the first lens  210  and the second lens  220 . 
     The first lens  210  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  220  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  230  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The fourth lens  240  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  250  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  260  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  270  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  270 . For example, the object-side surface of the seventh lens  270  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  270 . For example, the image-side surface of the seventh lens  270  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  3   , the stop is disposed at a distance of 0.903 mm from the object-side surface of the first lens  210  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 2 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  3    are aspherical except for the object-side surface of the second lens  220 , which is spherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 3 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.05360683 
                 0.9034685 
                 1.546 
                 56.114 
                 1.57 
               
               
                 S2 
                 Lens 
                 8.69896228 
                 0.1210039 
                   
                   
                 1.51 
               
               
                 S3 
                 Second 
                 5.79844164 
                 0.23 
                 1.669 
                 20.353 
                 1.41 
               
               
                 S4 
                 Lens 
                 3.28223873 
                 0.3719948 
                   
                   
                 1.25 
               
               
                 S5 
                 Third 
                 18.2422536 
                 0.5019823 
                 1.546 
                 56.114 
                 1.28 
               
               
                 S6 
                 Lens 
                 −30.831764 
                 0.1291516 
                   
                   
                 1.40 
               
               
                 S7 
                 Fourth 
                 9.45562649 
                 0.26 
                 1.669 
                 20.353 
                 1.42 
               
               
                 S8 
                 Lens 
                 6.85294408 
                 0.2841745 
                   
                   
                 1.59 
               
               
                 S9 
                 Fifth 
                 114.717743 
                 0.3398848 
                 1.669 
                 20.353 
                 1.70 
               
               
                 S10 
                 Lens 
                 7.75029311 
                 0.2357371 
                   
                   
                 1.96 
               
               
                 S11 
                 Sixth 
                 3.82957626 
                 0.8015174 
                 1.546 
                 56.114 
                 2.27 
               
               
                 S12 
                 Lens 
                 −2.3157266 
                 0.5095283 
                   
                   
                 2.53 
               
               
                 S13 
                 Seventh 
                 −2.7230919 
                 0.38 
                 1.546 
                 56.114 
                 3.25 
               
               
                 S14 
                 Lens 
                 2.76379359 
                 0.1236113 
                   
                   
                 3.50 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.519 
                 64.197 
                 3.79 
               
               
                 S16 
                   
                 Infinity 
                 0.697957 
                   
                   
                 3.82 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 4.19 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 4 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                 S1 
                  −1.06281 
                   0.01395 
                   0.00941 
                 −0.01412 
                   0.016751 
                 −0.01213 
                   0.005246 
                 −0.00125 
                   0.000113 
                 0 
               
               
                 S2 
                  10.99365 
                 −0.0496 
                   0.043223 
                 −0.02678 
                   0.01076 
                 −0.00422 
                   0.001531 
                 −0.00036 
                 3.39E−05 
                 0 
               
               
                 S3 
                   0 
                   0 
                   0 
                   0 
                   0 
                   0 
                   0 
                   0 
                   0 
                 0 
               
               
                 S4 
                  −1.57846 
                 −0.06964 
                   0.064533 
                   0.011426 
                 −0.07261 
                   0.078892 
                 −0.04113 
                   0.010258 
                 −0.00062 
                 0 
               
               
                 S5 
                   0 
                 −0.02505 
                   0.012832 
                 −0.06832 
                   0.114397 
                 −0.11363 
                   0.062176 
                 −0.01694 
                   0.001754 
                 0 
               
               
                 S6 
                 −95 
                 −0.06124 
                 −0.00208 
                   0.018185 
                 −0.0574 
                   0.078131 
                 −0.05827 
                   0.022909 
                 −0.0037 
                 0 
               
               
                 S7 
                    0 
                 −0.13045 
                   0.042894 
                 −0.12127 
                   0.185066 
                 −0.15794 
                   0.079696 
                 −0.02253 
                   0.002763 
                 0 
               
               
                 S8 
                    0 
                 −0.10238 
                   0.076048 
                 −0.14731 
                   0.180393 
                 −0.13452 
                   0.060052 
                 −0.01498 
                   0.001622 
                 0 
               
               
                 S9 
                    0 
                 −0.12987 
                   0.161036 
                 −0.15532 
                   0.106502 
                 −0.05376 
                   0.017897 
                 −0.00352 
                   0.000315 
                 0 
               
               
                 S10 
                    3.618339 
                 −0.19523 
                   0.14843 
                 −0.11064 
                   0.069557 
                 −0.03186 
                   0.009112 
                 −0.00141 
                 8.97E−05 
                 0 
               
               
                 S11 
                 −19.5338 
                 −0.02618 
                 −0.01422 
                   0.001668 
                   0.00202 
                 −0.00126 
                   0.0003 
                 −2.8E−05 
                 5.96E−07 
                 0 
               
               
                 S12 
                  −0.77737 
                   0.093402 
                 −0.07013 
                   0.024503 
                 −0.00579 
                   0.001227 
                 −0.0002 
                 1.83E−05 
                 −6.9E−07 
                 0 
               
               
                 S13 
                 −17.9057 
                 −0.104 
                   0.008741 
                   0.01022 
                 −0.0036 
                   0.000564 
                 −4.8E−05 
                 2.21E−06 
                 −4.2E−08 
                 0 
               
               
                 S14 
                  −0.59751 
                 −0.10999 
                   0.036578 
                 −0.00899 
                   0.001629 
                 −0.00023 
                 2.28E−05 
                 −1.5E−06 
                 6.25E−08 
                 −1.1E−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   . 
     The third example of the optical imaging system includes a first lens  310 , a second lens  320 , a third lens  330 , a fourth lens  340 , a fifth lens  350 , a sixth lens  360 , a seventh lens  370 , a filter  380 , an image sensor  390 , and a stop (not shown) disposed between the first lens  310  and the second lens  320 . 
     The first lens  310  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  320  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  330  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  340  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  350  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  360  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  370  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  370 . For example, the object-side surface of the seventh lens  370  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  370 . For example, the image-side surface of the seventh lens  370  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  5   , the stop is disposed at a distance of 0.818 mm from the object-side surface of the first lens  310  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 3 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  5    are aspherical except for the object-side surface of the second lens  320 , which is spherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 5 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.77268075 
                 0.8181175 
                 1.546 
                 56.114 
                 1.38 
               
               
                 S2 
                 Lens 
                 7.43505234 
                 0.0795954 
                   
                   
                 1.33 
               
               
                 S3 
                 Second 
                 5.04692927 
                 0.2 
                 1.669 
                 20.353 
                 1.25 
               
               
                 S4 
                 Lens 
                 2.94768599 
                 0.3757836 
                   
                   
                 1.10 
               
               
                 S5 
                 Third 
                 12.3815508 
                 0.4065563 
                 1.546 
                 56.114 
                 1.13 
               
               
                 S6 
                 Lens 
                 25.2118728 
                 0.1314045 
                   
                   
                 1.23 
               
               
                 S7 
                 Fourth 
                 5.68409727 
                 0.219 
                 1.669 
                 20.353 
                 1.25 
               
               
                 S8 
                 Lens 
                 4.4061916 
                 0.151293 
                   
                   
                 1.41 
               
               
                 S9 
                 Fifth 
                 27.7177102 
                 0.3053613 
                 1.644 
                 23.516 
                 1.47 
               
               
                 S10 
                 Lens 
                 8.05648759 
                 0.219293 
                   
                   
                 1.71 
               
               
                 S11 
                 Sixth 
                 4.76866792 
                 0.6346891 
                 1.546 
                 56.114 
                 1.93 
               
               
                 S12 
                 Lens 
                 −1.5557108 
                 0.3548236 
                   
                   
                 2.15 
               
               
                 S13 
                 Seventh 
                 −2.2362248 
                 0.373515 
                 1.546 
                 56.114 
                 2.75 
               
               
                 S14 
                 Lens 
                 2.35098563 
                 0.1948647 
                   
                   
                 2.96 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.519 
                 64.197 
                 3.31 
               
               
                 S16 
                   
                 Infinity 
                 0.6157031 
                   
                   
                 3.37 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.70 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 6 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1.0302 
                 0.018188 
                 0.032245 
                 −0.07196 
                 0.112928 
                 −0.10738 
                 0.060719 
                 −0.01872 
                 0.002295 
                 0 
               
               
                 S2 
                 9.43023 
                 −0.10102 
                 0.141494 
                 −0.11688 
                 0.038896 
                 0.013478 
                 −0.02044 
                 0.008552 
                 −0.00134 
                 0 
               
               
                 S3 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 S4 
                 −0.50537 
                 −0.10697 
                 0.153004 
                 0.009755 
                 −0.29683 
                 0.477095 
                 −0.35748 
                 0.129532 
                 −0.01458 
                 0 
               
               
                 S5 
                 0 
                 −0.05254 
                 0.023493 
                 −0.1143 
                 0.214047 
                 −0.26482 
                 0.177126 
                 −0.05517 
                 0.005476 
                 0 
               
               
                 S6 
                 −99 
                 −0.11144 
                 0.07916 
                 −0.20212 
                 0.267335 
                 −0.18518 
                 0.019544 
                 0.044285 
                 −0.01687 
                 0 
               
               
                 S7 
                 0 
                 −0.20077 
                 0.140611 
                 −0.37803 
                 0.453081 
                 −0.18096 
                 −0.09799 
                 0.111673 
                 −0.02809 
                 0 
               
               
                 S8 
                 0 
                 −0.20577 
                 0.304963 
                 −0.59986 
                 0.731946 
                 −0.53515 
                 0.225984 
                 −0.05251 
                 0.005575 
                 0 
               
               
                 S9 
                 0 
                 −0.28358 
                 0.467356 
                 −0.47172 
                 0.280955 
                 −0.07421 
                 −0.01626 
                 0.014562 
                 −0.00242 
                 0 
               
               
                 S10 
                 2.862598 
                 −0.31693 
                 0.301196 
                 −0.21698 
                 0.125203 
                 −0.05589 
                 0.017401 
                 −0.00325 
                 0.000272 
                 0 
               
               
                 S11 
                 −19.5338 
                 −0.07211 
                 −0.00681 
                 0.001046 
                 0.009791 
                 −0.00904 
                 0.002973 
                 −0.00036 
                 8.29E−06 
                 0 
               
               
                 S12 
                 −1.13682 
                 0.173265 
                 −0.16996 
                 0.078719 
                 −0.01703 
                 0.000973 
                 0.000343 
                 −7.9E−05 
                  5.3E−06 
                 0 
               
               
                 S13 
                 −13.4335 
                 −0.08518 
                 −0.04504 
                 0.056746 
                 −0.02132 
                 0.004215 
                 −0.00048 
                 2.92E−05 
                 −7.6E−07 
                 0 
               
               
                 S14 
                 −0.68587 
                 −0.15974 
                 0.072817 
                 −0.02745 
                 0.00783 
                 −0.00164 
                 0.000238 
                 −2.3E−05 
                 1.25E−06 
                 −3E−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   . 
     The fourth example of the optical imaging system includes a first lens  410 , a second lens  420 , a third lens  430 , a fourth lens  440 , a fifth lens  450 , a sixth lens  460 , a seventh lens  470 , a filter  480 , an image sensor  490 , and a stop (not shown) disposed between the second lens  420  and the third lens  430 . 
     The first lens  410  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  420  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The third lens  430  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  440  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The fifth lens  450  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  460  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  470  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  470 . For example, the object-side surface of the seventh lens  470  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  470 . For example, the image-side surface of the seventh lens  470  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  7   , the stop is disposed at a distance of 1.160 mm from the object-side surface of the first lens  410  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 4 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  7    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 7 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.944433 
                 0.44936 
                 1.546 
                 56.114 
                 1.272 
               
               
                 S2 
                 Lens 
                 2.977539 
                 0.114456 
                   
                   
                 1.251 
               
               
                 S3 
                 Second 
                 2.684097 
                 0.57757 
                 1.546 
                 56.114 
                 1.214 
               
               
                 S4 
                 Lens 
                 −14.8551 
                 0.018539 
                   
                   
                 1.179 
               
               
                 S5 
                 Third 
                 4.307671 
                 0.185386 
                 1.679 
                 19.236 
                 1.072 
               
               
                 S6 
                 Lens 
                 2.138972 
                 0.559077 
                   
                   
                 1.015 
               
               
                 S7 
                 Fourth 
                 −1112.32 
                 0.276572 
                 1.679 
                 19.236 
                 1.177 
               
               
                 S8 
                 Lens 
                 −1112.32 
                 0.195337 
                   
                   
                 1.351 
               
               
                 S9 
                 Fifth 
                 3.11964 
                 0.284764 
                 1.546 
                 56.114 
                 1.590 
               
               
                 S10 
                 Lens 
                 3.052659 
                 0.21926 
                   
                   
                 1.857 
               
               
                 S11 
                 Sixth 
                 3.020575 
                 0.350029 
                 1.679 
                 19.236 
                 1.993 
               
               
                 S12 
                 Lens 
                 2.4858 
                 0.130575 
                   
                   
                 2.317 
               
               
                 S13 
                 Seventh 
                 1.44499 
                 0.501569 
                 1.537 
                 53.955 
                 2.663 
               
               
                 S14 
                 Lens 
                 1.27E+00 
                 0.243037 
                   
                   
                 2.827 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5187 
                 64.1664 
                 3.105532 
               
               
                 S16 
                   
                 Infinity 
                 0.596879 
                   
                   
                 3.136694 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.408113 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 8 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −7.583 
                 0.0888 
                 −0.119 
                 0.0923 
                 −0.0948 
                 0.0482 
                 −0.003 
                 −0.0042 
                 0.0008 
                 0 
               
               
                 S2 
                 −20.327 
                 −0.0066 
                 −0.1632 
                 0.1025 
                 0.0438 
                 −0.0722 
                 0.0262 
                 −0.0005 
                 −0.0011 
                 0 
               
               
                 S3 
                 −0.2671 
                 −0.0459 
                 −0.0455 
                 −0.027 
                 0.1584 
                 −0.0377 
                 −0.1072 
                 0.0826 
                 −0.0186 
                 0 
               
               
                 S4 
                 0 
                 0.0277 
                 −0.1403 
                 0.1228 
                 0.1799 
                 −0.4927 
                 0.4448 
                 −0.186 
                 0.03 
                 0 
               
               
                 S5 
                 −4.5253 
                 −0.0875 
                 0.0631 
                 −0.2483 
                 0.8524 
                 −1.3993 
                 1.2015 
                 −0.5193 
                 0.0898 
                 0 
               
               
                 S6 
                 0.5431 
                 −0.123 
                 0.1655 
                 −0.2954 
                 0.5449 
                 −0.6999 
                 0.5654 
                 −0.2554 
                 0.0541 
                 0 
               
               
                 S7 
                 0 
                 −0.0243 
                 −0.1085 
                 0.1778 
                 −0.2176 
                 0.2407 
                 −0.2382 
                 0.1432 
                 −0.0356 
                 0 
               
               
                 S8 
                 0 
                 −0.0162 
                 −0.1425 
                 0.0788 
                 0.0935 
                 −0.1616 
                 0.0885 
                 −0.0169 
                 0 
                 0 
               
               
                 S9 
                 −43.017 
                 0.1677 
                 −0.2344 
                 0.1196 
                 −0.0548 
                 0.0387 
                 −0.0269 
                 0.0094 
                 −0.0012 
                 0 
               
               
                 S10 
                 −5.2037 
                 −0.0358 
                 0.0999 
                 −0.2203 
                 0.2016 
                 −0.1066 
                 0.0335 
                 −0.0057 
                 0.0004 
                 0 
               
               
                 S11 
                 −1.699 
                 0.0343 
                 −0.2737 
                 0.3209 
                 −0.2494 
                 0.1179 
                 −0.0316 
                 0.0045 
                 −0.0003 
                 0 
               
               
                 S12 
                 −0.0013 
                 −0.0989 
                 −0.0458 
                 0.0603 
                 −0.0408 
                 0.0165 
                 −0.0038 
                 0.0005 
                 −2E−05 
                 0 
               
               
                 S13 
                 −0.8015 
                 −0.5195 
                 0.2893 
                 −0.1079 
                 0.0311 
                 −0.0069 
                 0.0011 
                 −0.0001 
                   7E−06 
                 −2E−07 
               
               
                 S14 
                 −1.2781 
                 −0.3766 
                 0.2432 
                 −0.1184 
                 0.0416 
                 −0.01 
                 0.0016 
                 −0.0002 
                   9E−06 
                 −2E−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   . 
     The fifth example of the optical imaging system includes a first lens  510 , a second lens  520 , a third lens  530 , a fourth lens  540 , a fifth lens  550 , a sixth lens  560 , a seventh lens  570 , a filter  580 , an image sensor  590 , and a stop (not shown) disposed between the second lens  520  and the third lens  530 . 
     The first lens  510  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  520  has a positive refractive power, a paraxial region of each of an object-side surface of an image-side surface thereof is convex. 
     The third lens  530  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  540  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The fifth lens  550  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  560  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  570  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  570 . For example, the object-side surface of the seventh lens  570  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  570 . For example, the image-side surface of the seventh lens  570  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  9   , the stop is disposed at a distance of 1.169 mm from the object-side surface of the first lens  510  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 5 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  9    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 9 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.951165 
                 0.448752 
                 1.546 
                 56.114 
                 1.307 
               
               
                 S2 
                 Lens 
                 3.115162 
                 0.125992 
                   
                   
                 1.253 
               
               
                 S3 
                 Second 
                 2.868611 
                 0.575289 
                 1.546 
                 56.114 
                 1.214 
               
               
                 S4 
                 Lens 
                 −12.9825 
                 0.018563 
                   
                   
                 1.180 
               
               
                 S5 
                 Third 
                 4.506414 
                 0.185629 
                 1.679 
                 19.236 
                 1.074 
               
               
                 S6 
                 Lens 
                 2.196855 
                 0.519693 
                   
                   
                 1.016 
               
               
                 S7 
                 Fourth 
                 −2108.87 
                 0.279556 
                 1.679 
                 19.236 
                 1.179 
               
               
                 S8 
                 Lens 
                 −6755.44 
                 0.171507 
                   
                   
                 1.338 
               
               
                 S9 
                 Fifth 
                 3.113522 
                 0.273438 
                 1.546 
                 56.114 
                 1.528 
               
               
                 S10 
                 Lens 
                 3.267187 
                 0.241671 
                   
                   
                 1.808 
               
               
                 S11 
                 Sixth 
                 3.22281 
                 0.364954 
                 1.679 
                 19.236 
                 1.996 
               
               
                 S12 
                 Lens 
                 2.538835 
                 0.143764 
                   
                   
                 2.320 
               
               
                 S13 
                 Seventh 
                 1.445077 
                 0.51219 
                 1.537 
                 53.955 
                 2.500 
               
               
                 S14 
                 Lens 
                 1.27E+00 
                 0.250094 
                   
                   
                 2.738 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5187 
                 64.1664 
                 2.939872 
               
               
                 S16 
                   
                 Infinity 
                 0.597851 
                   
                   
                 2.970893 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.250775 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 10 
               
               
                   
               
               
                   
                 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 
               
               
                   
               
            
           
         
       
     
     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   . 
     The sixth example of the optical imaging system includes a first lens  610 , a second lens  620 , a third lens  630 , a fourth lens  640 , a fifth lens  650 , a sixth lens  660 , a seventh lens  670 , a filter  680 , an image sensor  690 , and a stop (not shown) disposed between the first lens  610  and the second lens  620 . 
     The first lens  610  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  620  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  630  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  640  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  650  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  660  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  670  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  670 . For example, the object-side surface of the seventh lens  670  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  670 . For example, the image-side surface of the seventh lens  670  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  11   , the stop is disposed at a distance of 0.383 mm from the object-side surface of the first lens  610  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 6 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  11    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 11 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.182354 
                 0.332873 
                 1.546 
                 56.114 
                 1.380 
               
               
                 S2 
                 Lens 
                 1.943873 
                 0.05 
                   
                   
                 1.369 
               
               
                 S3 
                 Second 
                 1.685732 
                 0.732159 
                 1.546 
                 56.114 
                 1.335 
               
               
                 S4 
                 Lens 
                 28.37273 
                 0.05 
                   
                   
                 1.264 
               
               
                 S5 
                 Third 
                 7.153573 
                 0.22 
                 1.679 
                 19.236 
                 1.185 
               
               
                 S6 
                 Lens 
                 2.922347 
                 0.426406 
                   
                   
                 1.050 
               
               
                 S7 
                 Fourth 
                 46.9146 
                 0.312126 
                 1.646 
                 23.528 
                 1.112 
               
               
                 S8 
                 Lens 
                 17.58601 
                 0.26165 
                   
                   
                 1.268 
               
               
                 S9 
                 Fifth 
                 2.265526 
                 0.27 
                 1.646 
                 23.528 
                 1.774 
               
               
                 S10 
                 Lens 
                 2.314346 
                 0.373051 
                   
                   
                 1.839 
               
               
                 S11 
                 Sixth 
                 8.518581 
                 0.607812 
                 1.546 
                 56.114 
                 2.160 
               
               
                 S12 
                 Lens 
                 −1.98711 
                 0.378187 
                   
                   
                 2.308 
               
               
                 S13 
                 Seventh 
                 −4.7165 
                 0.36 
                 1.546 
                 56.114 
                 2.780 
               
               
                 S14 
                 Lens 
                 1.89E+00 
                 0.145735 
                   
                   
                 2.998 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5187 
                 64.1664 
                 3.352752 
               
               
                 S16 
                   
                 Infinity 
                 0.67 
                   
                   
                 3.384589 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.712027 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 12 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −3.5715 
                 0.0005 
                 0.0011 
                 −0.0181 
                 0.0025 
                 0.0107 
                 −0.0084 
                 0.0026 
                 −0.0003 
               
               
                 S2 
                 −9.1496 
                 −0.0513 
                 −0.0055 
                 0.0116 
                 0.0161 
                 −0.0207 
                 0.0078 
                 −0.001 
                 0 
               
               
                 S3 
                 −2.5622 
                 −0.0879 
                 0.1115 
                 −0.1204 
                 0.1625 
                 −0.1325 
                 0.0578 
                 −0.0118 
                 0.0006 
               
               
                 S4 
                 −90 
                 −0.078 
                 0.2103 
                 −0.4384 
                 0.6397 
                 −0.6153 
                 0.3736 
                 −0.1288 
                 0.0189 
               
               
                 S5 
                 0 
                 −0.1133 
                 0.2975 
                 −0.5447 
                 0.7496 
                 −0.7199 
                 0.4525 
                 −0.1642 
                 0.0257 
               
               
                 S6 
                 4.6946 
                 −0.0705 
                 0.1434 
                 −0.2144 
                 0.1998 
                 −0.0956 
                 −0.0142 
                 0.0399 
                 −0.0137 
               
               
                 S7 
                 0 
                 −0.0972 
                 0.1221 
                 −0.3303 
                 0.5457 
                 −0.6222 
                 0.4555 
                 −0.1995 
                 0.0405 
               
               
                 S8 
                 0 
                 −0.1596 
                 0.2027 
                 −0.3281 
                 0.3412 
                 −0.2472 
                 0.1212 
                 −0.0385 
                 0.0064 
               
               
                 S9 
                 −18.27 
                 −0.0564 
                 −0.0069 
                 0.0518 
                 −0.0566 
                 0.0228 
                 −0.0011 
                 −0.0019 
                 0.0004 
               
               
                 S10 
                 −15.127 
                 −0.0603 
                 −0.0145 
                 0.0594 
                 −0.0601 
                 0.0318 
                 −0.0096 
                 0.0015 
                 −1E−04 
               
               
                 S11 
                 0 
                 0.0027 
                 −0.0398 
                 0.025 
                 −0.0137 
                 0.005 
                 −0.001 
                   1E−04 
                 −4E−06 
               
               
                 S12 
                 −1.1693 
                 0.1224 
                 −0.1006 
                 0.0535 
                 −0.0195 
                 0.005 
                 −0.0008 
                   8E−05 
                 −3E−06 
               
               
                 S13 
                 −4.4446 
                 −0.097 
                 −0.0137 
                 0.0358 
                 −0.0141 
                 0.0028 
                 −0.0003 
                   2E−05 
                 −5E−07 
               
               
                 S14 
                 −8.7431 
                 −0.0906 
                 0.0342 
                 −0.009 
                 0.0017 
                 −0.0002 
                 2E−05 
                 −1E−06 
                   3E−08 
               
               
                   
               
            
           
         
       
     
     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   . 
     The seventh example of the optical imaging system includes a first lens  710 , a second lens  720 , a third lens  730 , a fourth lens  740 , a fifth lens  750 , a sixth lens  760 , a seventh lens  770 , a filter  780 , an image sensor  790 , and a stop (not shown) disposed between the first lens  710  and the second lens  720 . 
     The first lens  710  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  720  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  730  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  740  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  750  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  760  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  770  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  770 . For example, the object-side surface of the seventh lens  770  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  770 . For example, the image-side surface of the seventh lens  770  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  13   , the stop is disposed at a distance of 0.351 mm from the object-side surface of the first lens  710  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 7 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  13    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 13 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.103288 
                 0.300965 
                 1.546 
                 56.114 
                 1.380 
               
               
                 S2 
                 Lens 
                 1.828785 
                 0.05 
                   
                   
                 1.362 
               
               
                 S3 
                 Second 
                 1.604129 
                 0.748312 
                 1.546 
                 56.114 
                 1.320 
               
               
                 S4 
                 Lens 
                 21.76312 
                 0.05 
                   
                   
                 1.249 
               
               
                 S5 
                 Third 
                 6.824657 
                 0.22 
                 1.679 
                 19.236 
                 1.185 
               
               
                 S6 
                 Lens 
                 2.852069 
                 0.418541 
                   
                   
                 1.050 
               
               
                 S7 
                 Fourth 
                 36.70533 
                 0.30841 
                 1.646 
                 23.528 
                 1.104 
               
               
                 S8 
                 Lens 
                 23.6439 
                 0.296196 
                   
                   
                 1.268 
               
               
                 S9 
                 Fifth 
                 2.423731 
                 0.25 
                 1.646 
                 23.528 
                 1.614 
               
               
                 S10 
                 Lens 
                 2.468626 
                 0.362929 
                   
                   
                 1.874 
               
               
                 S11 
                 Sixth 
                 8.604153 
                 0.597419 
                 1.546 
                 56.114 
                 2.160 
               
               
                 S12 
                 Lens 
                 -1.90679 
                 0.321858 
                   
                   
                 2.300 
               
               
                 S13 
                 Seventh 
                 -3.92912 
                 0.36 
                 1.546 
                 56.114 
                 2.780 
               
               
                 S14 
                 Lens 
                 1.89E+00 
                 0.135369 
                   
                   
                 2.984 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5187 
                 64.1664 
                 3.365202 
               
               
                 S16 
                   
                 Infinity 
                 0.67 
                   
                   
                 3.39617 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.709387 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 14 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −3.5773 
                 −0.0004 
                 0.0047 
                 −0.0224 
                 0.0032 
                 0.0133 
                 −0.0108 
                 0.0034 
                 −0.0004 
               
               
                 S2 
                 −9.0551 
                 −0.045 
                 −0.0042 
                 0.0097 
                 0.0134 
                 −0.0167 
                 0.0059 
                 −0.0008 
                 0 
               
               
                 S3 
                 −2.3378 
                 −0.0993 
                 0.1427 
                 −0.1434 
                 0.1477 
                 −0.0828 
                 0.0112 
                 0.0087 
                 −0.003 
               
               
                 S4 
                 99.97 
                 −0.0923 
                 0.262 
                 −0.5433 
                 0.7929 
                 −0.7771 
                 0.4878 
                 −0.1745 
                 0.0264 
               
               
                 S5 
                 0 
                 −0.1328 
                 0.3622 
                 −0.6631 
                 0.8954 
                 −0.85 
                 0.5347 
                 −0.1961 
                 0.0311 
               
               
                 S6 
                 4.6392 
                 −0.08 
                 0.1668 
                 −0.2414 
                 0.2072 
                 −0.0831 
                 −0.0267 
                 0.0433 
                 −0.014 
               
               
                 S7 
                 0 
                 −0.1064 
                 0.1429 
                 −0.4185 
                 0.7951 
                 −1.0313 
                 0.8413 
                 −0.3948 
                 0.0819 
               
               
                 S8 
                 0 
                 −0.1464 
                 0.1697 
                 −0.3068 
                 0.3901 
                 −0.3663 
                 0.2325 
                 −0.0889 
                 0.0157 
               
               
                 S9 
                 −16.976 
                 −0.0598 
                 0.0066 
                 0.0185 
                 −0.0133 
                 −0.0079 
                 0.0105 
                 −0.0041 
                 0.0006 
               
               
                 S10 
                 −16.514 
                 −0.0486 
                 −0.0329 
                 0.0697 
                 −0.0576 
                 0.0259 
                 −0.0069 
                 0.001 
                 −7E−05 
               
               
                 S11 
                 0 
                 0.0021 
                 −0.0386 
                 0.0152 
                 −0.0049 
                 0.0011 
                 −3E−05 
                 −2E−05 
                   2E−06 
               
               
                 S12 
                 −1.0939 
                 0.1344 
                 −0.1168 
                 0.0671 
                 −0.0277 
                 0.0082 
                 −0.0016 
                 0.0002 
                 −7E−06 
               
               
                 S13 
                 −6.2725 
                 −0.1233 
                 0.0218 
                 0.0166 
                 −0.0084 
                 0.0018 
                 −0.0002 
                   1E−05 
                 −3E−07 
               
               
                 S14 
                 −9.9341 
                 −0.1059 
                 0.0534 
                 −0.0191 
                 0.0046 
                 −0.0008 
                   8E−05 
                 −4E−06 
                   1E−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   . 
     The eighth example of the optical imaging system includes a first lens  810 , a second lens  820 , a third lens  830 , a fourth lens  840 , a fifth lens  850 , a sixth lens  860 , a seventh lens  870 , a filter  880 , an image sensor  890 , and a stop (not shown) disposed between the first lens  810  and the second lens  820 . 
     The first lens  810  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  820  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  830  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  840  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  850  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  860  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  870  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  870 . For example, the object-side surface of the seventh lens  870  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  870 . For example, the image-side surface of the seventh lens  870  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  15   , the stop is disposed at a distance of 0.336 mm from the object-side surface of the first lens  810  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 8 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  15    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 15 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.002076 
                 0.290476 
                 1.546 
                 56.114 
                 1.275 
               
               
                 S2 
                 Lens 
                 1.735025 
                 0.046207 
                   
                   
                 1.265 
               
               
                 S3 
                 Second 
                 1.510849 
                 0.69189 
                 1.546 
                 56.114 
                 1.234 
               
               
                 S4 
                 Lens 
                 25.17448 
                 0.050782 
                   
                   
                 1.156 
               
               
                 S5 
                 Third 
                 6.622812 
                 0.20331 
                 1.679 
                 19.236 
                 1.088 
               
               
                 S6 
                 Lens 
                 2.690882 
                 0.397038 
                   
                   
                 0.970 
               
               
                 S7 
                 Fourth 
                 404.2399 
                 0.304853 
                 1.646 
                 23.528 
                 1.031 
               
               
                 S8 
                 Lens 
                 26.39909 
                 0.238795 
                   
                   
                 1.192 
               
               
                 S9 
                 Fifth 
                 2.030671 
                 0.231034 
                 1.646 
                 23.528 
                 1.495 
               
               
                 S10 
                 Lens 
                 2.049104 
                 0.337714 
                   
                   
                 1.721 
               
               
                 S11 
                 Sixth 
                 9.000096 
                 0.577572 
                 1.546 
                 56.114 
                 1.996 
               
               
                 S12 
                 Lens 
                 −1.67925 
                 0.339723 
                   
                   
                 2.084 
               
               
                 S13 
                 Seventh 
                 −3.83664 
                 0.33269 
                 1.546 
                 56.114 
                 2.569 
               
               
                 S14 
                 Lens 
                 1.71E+00 
                 0.146102 
                   
                   
                 2.784 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5187 
                 64.1664 
                 3.104605 
               
               
                 S16 
                   
                 Infinity 
                 0.603297 
                   
                   
                 3.133872 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.409206 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 16 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −3.5658 
                 −0.0001 
                 0.0048 
                 −0.0338 
                 0.0058 
                 0.0258 
                 −0.024 
                 0.0087 
                 −0.0012 
               
               
                 S2 
                 −8.9286 
                 −0.0617 
                 −0.0072 
                 0.019 
                 0.0308 
                 −0.0458 
                 0.0196 
                 −0.0029 
                 0 
               
               
                 S3 
                 −2.4366 
                 −0.118 
                 0.178 
                 −0.2127 
                 0.3039 
                 −0.2613 
                 0.1138 
                 −0.0182 
                 −0.0012 
               
               
                 S4 
                 100 
                 −0.0932 
                 0.2737 
                 −0.6752 
                 1.2227 
                 −1.4655 
                 1.1 
                 −0.4621 
                 0.0813 
               
               
                 S5 
                 0 
                 −0.1401 
                 0.3995 
                 −0.8103 
                 1.2941 
                 −1.4787 
                 1.1095 
                 −0.4775 
                 0.0877 
               
               
                 S6 
                 4.6754 
                 −0.0913 
                 0.2084 
                 −0.3503 
                 0.3957 
                 −0.2854 
                 0.067 
                 0.0558 
                 −0.0336 
               
               
                 S7 
                 0 
                 −0.1191 
                 0.1586 
                 −0.5241 
                 1.0591 
                 −1.4826 
                 1.3333 
                 −0.7155 
                 0.1765 
               
               
                 S8 
                 0 
                 −0.2012 
                 0.3026 
                 −0.6033 
                 0.8015 
                 −0.7547 
                 0.4799 
                 −0.1903 
                 0.0367 
               
               
                 S9 
                 −18.968 
                 −0.0705 
                 −0.017 
                 0.0854 
                 −0.095 
                 0.0372 
                 0.0031 
                 −0.007 
                 0.0016 
               
               
                 S10 
                 −15.615 
                 −0.0761 
                 −0.0114 
                 0.0715 
                 −0.083 
                 0.0509 
                 −0.0182 
                 0.0035 
                 −0.0003 
               
               
                 S11 
                 0 
                 −0.0083 
                 −0.0355 
                 0.0253 
                 −0.0245 
                 0.0145 
                 −0.0045 
                 0.0007 
                 −5E−05 
               
               
                 S12 
                 −1.1609 
                 0.1552 
                 −0.1513 
                 0.1068 
                 −0.0571 
                 0.0215 
                 −0.005 
                 0.0006 
                 −3E−05 
               
               
                 S13 
                 −4.7786 
                 −0.1272 
                 −0.0055 
                 0.0492 
                 −0.0232 
                 0.0053 
                 −0.0007 
                   4E−05 
                 −1E−06 
               
               
                 S14 
                 −8.9618 
                 −0.1184 
                 0.0565 
                 −0.0195 
                 0.0048 
                 −0.0009 
                 1E−04 
                 −6E−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   . 
     The ninth example of the optical imaging system includes a first lens  910 , a second lens  920 , a third lens  930 , a fourth lens  940 , a fifth lens  950 , a sixth lens  960 , a seventh lens  970 , a filter  980 , an image sensor  990 , and a stop (not shown) disposed between the first lens  910  and the second lens  920 . 
     The first lens  910  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  920  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  930  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  940  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  950  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  960  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  970  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  970 . For example, the object-side surface of the seventh lens  970  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  970 . For example, the image-side surface of the seventh lens  970  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  17   , the stop is disposed at a distance of 0.731 mm from the object-side surface of the first lens  910  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 9 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  17    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 17 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.732331 
                 0.731243 
                 1.546 
                 56.114 
                 1.250 
               
               
                 S2 
                 Lens 
                 12.53699 
                 0.070023 
                   
                   
                 1.181 
               
               
                 S3 
                 Second 
                 5.589296 
                 0.2 
                 1.667 
                 20.353 
                 1.147 
               
               
                 S4 
                 Lens 
                 2.573966 
                 0.39715 
                   
                   
                 1.100 
               
               
                 S5 
                 Third 
                 8.065523 
                 0.384736 
                 1.546 
                 56.114 
                 1.128 
               
               
                 S6 
                 Lens 
                 7.836681 
                 0.192591 
                   
                   
                 1.247 
               
               
                 S7 
                 Fourth 
                 6.687158 
                 0.244226 
                 1.546 
                 56.114 
                 1.276 
               
               
                 S8 
                 Lens 
                 30.32847 
                 0.271297 
                   
                   
                 1.374 
               
               
                 S9 
                 Fifth 
                 −3.28742 
                 0.24968 
                 1.667 
                 20.353 
                 1.481 
               
               
                 S10 
                 Lens 
                 −4.51593 
                 0.138845 
                   
                   
                 1.734 
               
               
                 S11 
                 Sixth 
                 5.679879 
                 0.519865 
                 1.546 
                 56.114 
                 2.150 
               
               
                 S12 
                 Lens 
                 −1.89003 
                 0.316634 
                   
                   
                 2.318 
               
               
                 S13 
                 Seventh 
                 3.93255 
                 0.3 
                 1.546 
                 56.114 
                 2.640 
               
               
                 S14 
                 Lens 
                 1.741826 
                 0.193709 
                   
                   
                 2.747 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.518 
                 64.166 
                 3.146 
               
               
                 S16 
                   
                 Infinity 
                 0.78 
                   
                   
                 3.177045639 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.536356437 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 18 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 −0.7464 
                 0.01386 
                 0.03443 
                 −0.0749 
                 0.10292 
                 −0.0706 
                 0.01727 
                 0.00423 
                 −0.0023 
                 0 
               
               
                 S2  
                 36.6688 
                 −0.0823 
                 0.19496 
                 −0.3067 
                 0.36336 
                 −0.323 
                 0.19024 
                 −0.0632 
                 0.00855 
                 0 
               
               
                 S3  
                 −1.3559 
                 −0.1603 
                 0.33047 
                 −0.4059 
                 0.33245 
                 −0.1787 
                 0.06728 
                 −0.0166 
                 0.00178 
                 0 
               
               
                 S4  
                 −0.4109 
                 −0.0907 
                 0.14443 
                 0.1155 
                 −0.7969 
                 1.50089 
                 −1.4406 
                 0.72187 
                 −0.147 
                 0 
               
               
                 S5  
                 0 
                 −0.0739 
                 0.04629 
                 −0.1203 
                 0.11651 
                 −0.0578 
                 −0.0089 
                 0.02328 
                 −0.0057 
                 0 
               
               
                 S6  
                 0 
                 −0.0932 
                 0.00341 
                 0.05212 
                 −0.1827 
                 0.24566 
                 −0.2173 
                 0.11261 
                 −0.0241 
                 0 
               
               
                 S7  
                 25.1476 
                 −0.1235 
                 −0.1887 
                 0.37626 
                 −0.554 
                 0.67306 
                 −0.5796 
                 0.27819 
                 −0.0538 
                 0 
               
               
                 S8  
                 −99 
                 −9E−05 
                 −0.3274 
                 0.35885 
                 −0.3195 
                 0.34506 
                 −0.2608 
                 0.09954 
                 −0.0144 
                 0 
               
               
                 S9  
                 −70.894 
                 0.02055 
                 0.04825 
                 −0.5284 
                 0.75832 
                 −0.4915 
                 0.16359 
                 −0.0271 
                 0.00175 
                 0 
               
               
                 S10 
                 2.28319 
                 0.17594 
                 −0.3448 
                 0.22829 
                 −0.0716 
                 0.01095 
                 −0.0007 
                 −4E−06 
                 1.4E−06 
                 0 
               
               
                 S11 
                 −99 
                 0.11875 
                 −0.2169 
                 0.16747 
                 −0.0871 
                 0.02755 
                 −0.0049 
                 0.00045 
                  −2E−05 
                 0 
               
               
                 S12 
                 −3.3067 
                 0.16436 
                 −0.1849 
                 0.1159 
                 −0.049 
                 0.01383 
                 −0.0024 
                 0.00023 
                  −9E−06 
                 0 
               
               
                 S13 
                 −2.4772 
                 −0.1026 
                 −0.0482 
                 0.07401 
                 −0.0308 
                 0.00666 
                 −0.0008 
                 5.5E−05 
                  −2E−06 
                 0 
               
               
                 S14 
                 −1.1028 
                 −0.2935 
                 0.20325 
                 −0.1127 
                 0.04574 
                 −0.0129 
                 0.0024 
                 −0.0003 
                 1.8E−05 
                 −5E−07 
               
               
                   
               
            
           
         
       
     
     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   . 
     The tenth example of the optical imaging system includes a first lens  1010 , a second lens  1020 , a third lens  1030 , a fourth lens  1040 , a fifth lens  1050 , a sixth lens  1060 , a seventh lens  1070 , a filter  1080 , an image sensor  1090 , and a stop (not shown) disposed between the first lens  1010  and the second lens  1020 . 
     The first lens  1010  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1020  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1030  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1040  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1050  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1060  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  1070  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  1070 . For example, the object-side surface of the seventh lens  1070  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1070 . For example, the image-side surface of the seventh lens  1070  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  19   , the stop is disposed at a distance of 0.690 mm from the object-side surface of the first lens  1010  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 10 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  19    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 19 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1  
                 First 
                 1.782088 
                 0.689797 
                 1.546 
                 56.114 
                 1.275 
               
               
                 S2  
                 Lens 
                 13.89149 
                 0.079047 
                   
                   
                 1.226 
               
               
                 S3  
                 Second 
                 6.087772 
                 0.2 
                 1.667 
                 20.353 
                 1.192 
               
               
                 S4  
                 Lens 
                 2.729115 
                 0.404069 
                   
                   
                 1.100 
               
               
                 S5  
                 Third 
                 8.069534 
                 0.351255 
                 1.546 
                 56.114 
                 1.157 
               
               
                 S6  
                 Lens 
                 7.933764 
                 0.173398 
                   
                   
                 1.256 
               
               
                 S7  
                 Fourth 
                 6.770708 
                 0.253752 
                 1.546 
                 56.114 
                 1.280 
               
               
                 S8  
                 Lens 
                 59.26755 
                 0.221445 
                   
                   
                 1.370 
               
               
                 S9  
                 Fifth 
                 −3.04667 
                 0.446166 
                 1.667 
                 20.353 
                 1.423 
               
               
                 S10 
                 Lens 
                 −4.61706 
                 0.092345 
                   
                   
                 1.742 
               
               
                 S11 
                 Sixth 
                 5.54179 
                 0.885686 
                 1.546 
                 56.114 
                 2.150 
               
               
                 S12 
                 Lens 
                 −1.81648 
                 0.263902 
                   
                   
                 2.247 
               
               
                 S13 
                 Seventh 
                 −3.72821 
                 0.334926 
                 1.546 
                 56.114 
                 2.609 
               
               
                 S14 
                 Lens 
                 1.795292 
                 0.214212 
                   
                   
                 2.895 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.518 
                 64.166 
                 3.128 
               
               
                 S16 
                   
                 Infinity 
                 0.78 
                   
                   
                 3.159505988 
               
               
                 S17 
                 Imaging 
                 infinity 
                   
                   
                   
                 3.5352 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 20 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 −0.7799 
                 0.01197 
                 0.05018 
                 −0.1139 
                 0.15402 
                 −0.1058 
                 0.0277 
                 0.00415 
                 −0.0027 
                 0 
               
               
                 S2  
                 47.9347 
                 −0.0683 
                 0.17293 
                 −0.3083 
                 0.40045 
                 −0.3589 
                 0.19954 
                 −0.0605 
                 0.0074 
                 0 
               
               
                 S3  
                 1.68169 
                 −0.1465 
                 0.29389 
                 −0.3639 
                 0.28524 
                 −0.0978 
                 −0.0255 
                 0.03457 
                 −0.0087 
                 0 
               
               
                 S4  
                 −0.5294 
                 −0.0931 
                 0.17548 
                 −0.0689 
                 −0.2817 
                 0.70925 
                 −0.7504 
                 0.40105 
                 −0.0855 
                 0 
               
               
                 S5  
                 0 
                 −0.0692 
                 0.02762 
                 −0.0586 
                 0.02149 
                 0.04226 
                 −0.0786 
                 0.05249 
                 −0.0116 
                 0 
               
               
                 S6  
                 0 
                 −0.0923 
                 0.00494 
                 0.02984 
                 −0.1124 
                 0.16118 
                 −0.1632 
                 0.09263 
                 −0.0206 
                 0 
               
               
                 S7  
                 25.6946 
                 −0.1416 
                 −0.0429 
                 −0.049 
                 0.12511 
                 0.02541 
                 −0.2058 
                 0.15568 
                 −0.0361 
                 0 
               
               
                 S8  
                 −99 
                 0.00488 
                 −0.296 
                 0.32057 
                 −0.3817 
                 0.48577 
                 −0.3607 
                 0.13074 
                 −0.0181 
                 0 
               
               
                 S9  
                 −70.539 
                 −0.0878 
                 0.24262 
                 −0.6812 
                 0.81506 
                 −0.4953 
                 0.1593 
                 −0.0257 
                 0.00163 
                 0 
               
               
                 S10 
                 1.48962 
                 0.12295 
                 −0.2057 
                 0.12659 
                 −0.0423 
                 0.00892 
                 −0.0013 
                 0.00012 
                 −5E−06 
                 0 
               
               
                 S11 
                 −99 
                 0.113 
                 −0.1689 
                 0.11533 
                 −0.0542 
                 0.01559 
                 −0.0025 
                 0.00021 
                 −7E−06 
                 0 
               
               
                 S12 
                 −2.8554 
                 0.10708 
                 −0.1088 
                 0.05801 
                 −0.0206 
                 0.0049 
                 −0.0007 
                 5.7E−05 
                 −2E−06 
                 0 
               
               
                 S13 
                 −2.6312 
                 −0.0807 
                 −0.0543 
                 0.06724 
                 −0.0264 
                 0.0055 
                 −0.0007 
                 4.3E−05 
                 −1E−06 
                 0 
               
               
                 S14 
                 −1.0845 
                 −0.2364 
                 0.13321 
                 −0.0576 
                 0.0184 
                 −0.0041 
                 0.00062 
                  −6E−05 
                 3.2E−06 
                 −7E−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   . 
     The eleventh example of the optical imaging system includes a first lens  1110 , a second lens  1120 , a third lens  1130 , a fourth lens  1140 , a fifth lens  1150 , a sixth lens  1160 , a seventh lens  1170 , a filter  1180 , an image sensor  1190 , and a stop (not shown) disposed between the first lens  1110  and the second lens  1120 . 
     The first lens  1110  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1120  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1130  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1140  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1150  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1160  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  1170  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  1170 . For example, the object-side surface of the seventh lens  1170  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1170 . For example, the image-side surface of the seventh lens  1170  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  21   , the stop is disposed at a distance of 0.726 mm from the object-side surface of the first lens  1110  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 11 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  21    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 21 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1  
                 First 
                 1.792301 
                 0.726309 
                 1.546 
                 56.114 
                 1.330 
               
               
                 S2  
                 Lens 
                 13.20491 
                 0.090736 
                   
                   
                 1.287 
               
               
                 S3  
                 Second 
                 5.976271 
                 0.2 
                 1.667 
                 20.353 
                 1.219 
               
               
                 S4  
                 Lens 
                 2.717433 
                 0.392614 
                   
                   
                 1.100 
               
               
                 S5  
                 Third 
                 7.924964 
                 0.368939 
                 1.546 
                 56.114 
                 1.160 
               
               
                 S6  
                 Lens 
                 7.783378 
                 0.135415 
                   
                   
                 1.266 
               
               
                 S7  
                 Fourth 
                 6.732611 
                 0.266976 
                 1.546 
                 56.114 
                 1.283 
               
               
                 S8  
                 Lens 
                 34.21537 
                 0.221138 
                   
                   
                 1.379 
               
               
                 S9  
                 Fifth 
                 −2.99938 
                 0.446167 
                 1.667 
                 20.353 
                 1.429 
               
               
                 S10 
                 Lens 
                 −4.33966 
                 0.050671 
                   
                   
                 1.767 
               
               
                 S11 
                 Sixth 
                 5.602517 
                 0.919146 
                 1.546 
                 56.114 
                 2.150 
               
               
                 S12 
                 Lens 
                 −1.61634 
                 0.250496 
                   
                   
                 2.124 
               
               
                 S13 
                 Seventh 
                 −3.32028 
                 0.3 
                 1.546 
                 56.114 
                 2.555 
               
               
                 S14 
                 Lens 
                 1.721575 
                 0.241394 
                   
                   
                 2.854 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.518 
                 64.166 
                 3.042 
               
               
                 S16 
                   
                 Infinity 
                 0.78 
                   
                   
                 3.076461274 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.539791201 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 22 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 −0.8043 
                 0.01289 
                 0.03726 
                 −0.0816 
                 0.11409 
                 −0.089 
                 0.03652 
                 −0.0062 
                 −0.0001 
                 0 
               
               
                 S2  
                 51.3479 
                 −0.0483 
                 0.05093 
                 0.0719 
                 −0.2927 
                 0.39068 
                 −0.2714 
                 0.0975 
                 −0.0144 
                 0 
               
               
                 S3  
                 3.11156 
                 −0.1249 
                 0.178 
                 −0.0145 
                 −0.3397 
                 0.56985 
                 −0.443 
                 0.17445 
                 −0.0279 
                 0 
               
               
                 S4  
                 −0.6552 
                 −0.0793 
                 0.09873 
                 0.18501 
                 −0.7911 
                 1.31375 
                 −1.1601 
                 0.5393 
                 −0.1015 
                 0 
               
               
                 S5  
                 0 
                 −0.066 
                 0.06134 
                 −0.18 
                 0.24321 
                 −0.2015 
                 0.08626 
                 −0.0114 
                 −0.0009 
                 0 
               
               
                 S6  
                 0 
                 −0.0855 
                 −0.0306 
                 0.18152 
                 −0.4356 
                 0.54102 
                 −0.4166 
                 0.18221 
                 −0.0336 
                 0 
               
               
                 S7  
                 25.5599 
                 −0.1157 
                 −0.2609 
                 0.66152 
                 −1.0774 
                 1.19203 
                 −0.8541 
                 0.34504 
                 −0.0583 
                 0 
               
               
                 S8  
                 −99 
                 0.0276 
                 −0.4662 
                 0.78122 
                 −1.0595 
                 1.08297 
                 −0.6699 
                 0.21615 
                 −0.0277 
                 0 
               
               
                 S9  
                 −74.927 
                 −0.0825 
                 0.26638 
                 −0.7895 
                 0.98252 
                 −0.6232 
                 0.21113 
                 −0.0363 
                 0.0025 
                 0 
               
               
                 S10 
                 1.48962 
                 0.15316 
                 −0.249 
                 0.16958 
                 −0.0655 
                 0.01574 
                 −0.0024 
                 0.00021 
                 −8E−06 
                 0 
               
               
                 S11 
                 −99 
                 0.09288 
                 −0.1748 
                 0.13327 
                 −0.0666 
                 0.02003 
                 −0.0034 
                 0.00029 
                 −1E−05 
                 0 
               
               
                 S12 
                 −2.4857 
                 0.11037 
                 −0.1344 
                 0.07896 
                 −0.0304 
                 0.00781 
                 −0.0012 
                 0.00011 
                 −4E−06 
                 0 
               
               
                 S13 
                 −2.6312 
                 −0.0289 
                 −0.1097 
                 0.09541 
                 −0.0347 
                 0.00705 
                 −0.0008 
                 5.5E−05 
                 −2E−06 
                 0 
               
               
                 S14 
                 −1.0845 
                 −0.2256 
                 0.1217 
                 −0.0516 
                 0.01635 
                 −0.0037 
                 0.00055 
                  −5E−05 
                 2.8E−06 
                 −7E−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   . 
     The twelfth example of the optical imaging system includes a first lens  1210 , a second lens  1220 , a third lens  1230 , a fourth lens  1240 , a fifth lens  1250 , a sixth lens  1260 , a seventh lens  1270 , a filter  1280 , an image sensor  1290 , and a stop (not shown) disposed between the second lens  1220  and the third lens  1230 . 
     The first lens  1210  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1220  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The third lens  1230  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1240  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1250  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  1260  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  1270  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  1270 . For example, the object-side surface of the seventh lens  1270  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1270 . For example, the image-side surface of the seventh lens  1270  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  23   , the stop is disposed at a distance of 1.158 mm from the object-side surface of the first lens  1210  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 12 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  23    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 23 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 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 
               
               
                 S6  
                 Lens 
                 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 
                 0.65  
                   
                   
                 3.450 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.730 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 24 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                 S1  
                 −8.038 
                 0.07067 
                 −0.0797 
                 0.03339 
                 0.00722 
                 −0.0491 
                 0.04654 
                 −0.0186 
                 0.00318 
                 −0.0002 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S2  
                 −20.594 
                 −0.0019 
                 −0.1494 
                 0.20409 
                 −0.2922 
                 0.37549 
                 −0.3085 
                 0.14861 
                 −0.0387 
                 0.0042 
               
               
                 S3  
                 −0.0908 
                 −0.0339 
                 −0.0641 
                 0.13679 
                 −0.2821 
                 0.49215 
                 −0.4815 
                 0.26054 
                 −0.0746 
                 0.00881 
               
               
                 S4  
                 −0.4822 
                 −0.0436 
                 0.17605 
                 −0.3256 
                 0.19989 
                 0.1916 
                 −0.4291 
                 0.32034 
                 −0.1141 
                 0.01622 
               
               
                 S5  
                 −1.1841 
                 −0.1073 
                 0.25445 
                 −0.4683 
                 0.49912 
                 −0.2863 
                 0.05651 
                 0.03245 
                 −0.0229 
                 0.00442 
               
               
                 S6  
                 0.87331 
                 −0.0693 
                 0.03569 
                 0.20478 
                 −0.8833 
                 1.73278 
                 −1.9742 
                 1.34645 
                 −0.5106 
                 0.08302 
               
               
                 S7  
                 −0.4999 
                 −0.0314 
                 0.01347 
                 −0.2894 
                 0.97164 
                 −1.7181 
                 1.79234 
                 −1.1152 
                 0.38365 
                 −0.0563 
               
               
                 S8  
                 −1E−06 
                 −0.0273 
                 −0.1177 
                 0.21199 
                 −0.2544 
                 0.21565 
                 −0.1264 
                 0.04694 
                 −0.0093 
                 0.0007 
               
               
                 S9  
                 −41.843 
                 0.16235 
                 −0.3487 
                 0.40163 
                 −0.3105 
                 0.13962 
                 −0.027 
                 −0.0038 
                 0.00264 
                 −0.0003 
               
               
                 S10 
                 −5.1424 
                 0.03971 
                 −0.1364 
                 0.15688 
                 −0.1229 
                 0.06333 
                 −0.0212 
                 0.0044 
                 −0.0005 
                 2.6E−05 
               
               
                 S11 
                 −2.1666 
                 0.03558 
                 −0.1809 
                 0.19853 
                 −0.1438 
                 0.06411 
                 −0.0173 
                 0.00275 
                 −0.0002 
                   9E−06 
               
               
                 S12 
                 −0.0207 
                 −0.1043 
                 0.02386 
                 −0.0063 
                 −0.0007 
                 0.00066 
                 −3E−06 
                 −4E−05 
                 7.3E−06 
                  −4E−07 
               
               
                 S13 
                 −0.7948 
                 −0.4128 
                 0.18634 
                 −0.0516 
                 0.01005 
                 −0.0015 
                 0.00016 
                 −1E−05 
                 6.2E−07 
                  −1E−08 
               
               
                 S14 
                 −1.3226 
                 −0.3105 
                 0.17125 
                 −0.0712 
                 0.02129 
                 −0.0043 
                 0.00058 
                 −5E−05 
                 2.3E−06 
                  −5E−08 
               
               
                   
               
            
           
         
       
     
     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   . 
     The thirteenth example of the optical imaging system includes a first lens  1310 , a second lens  1320 , a third lens  1330 , a fourth lens  1340 , a fifth lens  1350 , a sixth lens  1360 , a seventh lens  1370 , a filter  1380 , an image sensor  1390 , and a stop (not shown) disposed between the second lens  1320  and the third lens  1330 . 
     The first lens  1310  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1320  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The third lens  1330  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1340  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1350  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  1360  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  1370  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  1370 . For example, the object-side surface of the seventh lens  1370  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1370 . For example, the image-side surface of the seventh lens  1370  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  25   , the stop is disposed at a distance of 1.199 mm from the object-side surface of the first lens  1310  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 13 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  25    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 25 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1  
                 First 
                 2.073751483 
                 0.544876 
                 1.546 
                 56.114 
                 1.340 
               
               
                 S2  
                 Lens 
                 3.134870736 
                 0.137569 
                   
                   
                 1.302 
               
               
                 S3  
                 Second 
                 3.128441404 
                 0.491088 
                 1.546 
                 56.114 
                 1.257 
               
               
                 S4  
                 Lens 
                 −25.66530563 
                 0.025843 
                   
                   
                 1.217 
               
               
                 S5  
                 Third 
                 12.4369312 
                 0.23 
                 1.679 
                 19.236 
                 1.160 
               
               
                 S6  
                 Lens 
                 3.763271555 
                 0.507804 
                   
                   
                 1.182 
               
               
                 S7  
                 Fourth 
                 10.7268766 
                 0.360036 
                 1.546 
                 56.114 
                 1.275 
               
               
                 S8  
                 Lens 
                 12.82165572 
                 0.348743 
                   
                   
                 1.388 
               
               
                 S9  
                 Fifth 
                 4.81387139 
                 0.35 
                 1.546 
                 56.114 
                 1.576 
               
               
                 S10 
                 Lens 
                 5.615039352 
                 0.232774 
                   
                   
                 2.010 
               
               
                 S11 
                 Sixth 
                 4.324850125 
                 0.438387 
                 1.679 
                 19.236 
                 2.018 
               
               
                 S12 
                 Lens 
                 3.02702576 
                 0.173942 
                   
                   
                 2.323 
               
               
                 S13 
                 Seventh 
                 1.616003022 
                 0.58366 
                 1.546 
                 56.114 
                 2.710 
               
               
                 S14 
                 Lens 
                 1.373602569 
                 0.214276 
                   
                   
                 2.996 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.338 
               
               
                 S16 
                   
                 Infinity 
                 0.649998 
                   
                   
                 3.403 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.729 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 26 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 −1 
                 −0.0025 
                 −0.0098 
                 0.01527 
                 −0.0556 
                 0.09254 
                 −0.0925 
                 0.05356 
                 −0.0163 
                 0.00201 
               
               
                 S2  
                 −12.778 
                 −0.0004 
                 −0.1137 
                 0.24524 
                 −0.5515 
                 0.82945 
                 −0.7417 
                 0.38903 
                 −0.1114 
                 0.01344 
               
               
                 S3  
                 −1.5504 
                 −0.0322 
                 −0.0682 
                 0.18501 
                 −0.5146 
                 0.9207 
                 −0.9127 
                 0.51588 
                 −0.1579 
                 0.02023 
               
               
                 S4  
                 −7.0537 
                 −0.0404 
                 0.29676 
                 −1.2693 
                 2.88262 
                 −3.9202 
                 3.31284 
                 −1.6974 
                 0.47955 
                 −0.0571 
               
               
                 S5  
                 13.4217 
                 −0.1043 
                 0.54877 
                 −2.1153 
                 4.90531 
                 −7.1106 
                 6.4814 
                 −3.6045 
                 1.11764 
                 −0.1481 
               
               
                 S6  
                 0.76614 
                 −0.0811 
                 0.31536 
                 −1.241 
                 3.19858 
                 −5.2874 
                 5.51634 
                 −3.5023 
                 1.23595 
                 −0.1856 
               
               
                 S7  
                 −8.3969 
                 −0.0517 
                 −0.0407 
                 0.14681 
                 −0.3147 
                 0.35116 
                 −0.1879 
                 0.00842 
                 0.03459 
                 −0.0102 
               
               
                 S8  
                 6.05573 
                 −0.0665 
                 −0.0069 
                 0.01518 
                 −0.01 
                 −0.044 
                 0.09308 
                 −0.0777 
                 0.03087 
                 −0.0047 
               
               
                 S9  
                 −43.417 
                 0.02293 
                 −0.0192 
                 −0.0479 
                 0.09183 
                 −0.0953 
                 0.05836 
                 −0.0215 
                 0.00436 
                 −0.0004 
               
               
                 S10 
                 −1.2708 
                 0.04581 
                 −0.1581 
                 0.19889 
                 −0.1589 
                 0.08059 
                 −0.0262 
                 0.0053 
                 −0.0006 
                   3E−05 
               
               
                 S11 
                 −16.611 
                 0.11516 
                 −0.2515 
                 0.23819 
                 −0.1502 
                 0.06085 
                 −0.0155 
                 0.00238 
                 −0.0002 
                 7.4E−06 
               
               
                 S12 
                 0.08869 
                 −0.0573 
                 −0.0313 
                 0.03451 
                 −0.02 
                 0.00672 
                 −0.0013 
                 0.00014 
                  −7E−06 
                 7.4E−08 
               
               
                 S13 
                 −0.815 
                 −0.3784 
                 0.16737 
                 −0.0506 
                 0.01278 
                 −0.0027 
                 0.00044 
                 −5E−05 
                 2.7E−06 
                  −7E−08 
               
               
                 S14 
                 −1.3724 
                 −0.2775 
                 0.15305 
                 −0.0638 
                 0.01949 
                 −0.0041 
                 0.00058 
                 −5E−05 
                 2.6E−06 
                  −6E−08 
               
               
                   
               
            
           
         
       
     
     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   . 
     The fourteenth example of the optical imaging system includes a first lens  1410 , a second lens  1420 , a third lens  1430 , a fourth lens  1440 , a fifth lens  1450 , a sixth lens  1460 , a seventh lens  1470 , a filter  1480 , an image sensor  1490 , and a stop (not shown) disposed between the second lens  1420  and the third lens  1430 . 
     The first lens  1410  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1420  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1430  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1440  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1450  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  1460  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  1470  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  1470 . For example, the object-side surface of the seventh lens  1470  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1470 . For example, the image-side surface of the seventh lens  1470  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  27   , the stop is disposed at a distance of 1.077 mm from the object-side surface of the first lens  1410  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 14 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  27    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 27 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1  
                 First 
                 2.118305139 
                 0.467301 
                 1.546 
                 56.114 
                 1.360 
               
               
                 S2  
                 Lens 
                 2.746507151 
                 0.088291 
                   
                   
                 1.343 
               
               
                 S3  
                 Second 
                 2.805315991 
                 0.495083 
                 1.546 
                 56.114 
                 1.313 
               
               
                 S4  
                 Lens 
                 29.97218136 
                 0.026058 
                   
                   
                 1.266 
               
               
                 S5  
                 Third 
                 5.620498788 
                 0.273577 
                 1.679 
                 19.236 
                 1.212 
               
               
                 S6  
                 Lens 
                 2.858933317 
                 0.365293 
                   
                   
                 1.199 
               
               
                 S7  
                 Fourth 
                 6.085110345 
                 0.415715 
                 1.546 
                 56.114 
                 1.285 
               
               
                 S8  
                 Lens 
                 19.14383505 
                 0.530007 
                   
                   
                 1.350 
               
               
                 S9  
                 Fifth 
                 5.783090879 
                 0.4 
                 1.679 
                 19.236 
                 1.600 
               
               
                 S10 
                 Lens 
                 4.564410244 
                 0.188701 
                   
                   
                 2.100 
               
               
                 S11 
                 Sixth 
                 2.807723971 
                 0.444625 
                 1.546 
                 56.114 
                 1.903 
               
               
                 S12 
                 Lens 
                 3.20115397 
                 0.276382 
                   
                   
                 2.470 
               
               
                 S13 
                 Seventh 
                 1.650083939 
                 0.458527 
                 1.546 
                 56.114 
                 2.646 
               
               
                 S14 
                 Lens 
                 1.194405383 
                 0.21044 
                   
                   
                 2.806 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.241 
               
               
                 S16 
                   
                 Infinity 
                 0.649999 
                   
                   
                 3.319 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.729 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 28 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 −1 
                 −0.0103 
                 0.00782 
                 −0.0588 
                 0.09254 
                 −0.0904 
                 0.0486 
                 −0.0119 
                 0.00038 
                 0.00021 
               
               
                 S2  
                 −13.05 
                 0.02575 
                 −0.1274 
                 0.03504 
                 0.06172 
                 −0.0405 
                 0.00034 
                 0.0049 
                 −0.0007 
                 −0.0001 
               
               
                 S3  
                 −1.2154 
                 −0.0166 
                 −0.0602 
                 −0.0171 
                 0.06247 
                 0.04814 
                 −0.1007 
                 0.05111 
                 −0.0092 
                 0.00015 
               
               
                 S4  
                 −7.0515 
                 −0.047 
                 0.26813 
                 −0.8387 
                 1.45463 
                 −1.5426 
                 1.02637 
                 −0.4201 
                 0.09736 
                 −0.0099 
               
               
                 S5  
                 8.8287 
                 −0.0982 
                 0.31064 
                 −0.8268 
                 1.45377 
                 −1.7174 
                 1.3464 
                 −0.6715 
                 0.1944 
                 −0.025 
               
               
                 S6  
                 1.72172 
                 −0.0695 
                 0.09394 
                 −0.1196 
                 0.14214 
                 −0.2108 
                 0.2773 
                 −0.2257 
                 0.09968 
                 −0.0182 
               
               
                 S7  
                 −1.4309 
                 −0.0448 
                 −0.0056 
                 0.02993 
                 −0.0484 
                 −0.0039 
                 0.08562 
                 −0.1013 
                 0.05106 
                 −0.0095 
               
               
                 S8  
                 5.85918 
                 −0.0455 
                 −0.0133 
                 0.03368 
                 −0.0729 
                 0.09223 
                 −0.0766 
                 0.04111 
                 −0.0128 
                 0.00184 
               
               
                 S9  
                 −43.521 
                 0.00081 
                 −0.0239 
                 0.02218 
                 −0.0173 
                 0.00514 
                 −0.0002 
                 −0.0003 
                 5.4E−05 
                 4.8E−06 
               
               
                 S10 
                 −11.855 
                 −0.0163 
                 −0.0578 
                 0.08324 
                 −0.067 
                 0.0334 
                 −0.0109 
                 0.00227 
                 −0.0003 
                 1.4E−05 
               
               
                 S11 
                 −16.199 
                 0.10244 
                 −0.1959 
                 0.19307 
                 −0.1564 
                 0.07971 
                 −0.0243 
                 0.00436 
                 −0.0004 
                 1.8E−05 
               
               
                 S12 
                 0.16678 
                 −0.0913 
                 0.11002 
                 −0.1075 
                 0.05366 
                 −0.0157 
                 0.00287 
                 −0.0003 
                 2.1E−05 
                 −6E−07 
               
               
                 S13 
                 −0.8022 
                 −0.4375 
                 0.2118 
                 −0.049 
                 0.00155 
                 0.00209 
                 −0.0006 
                 7E−05 
                 −4E−06 
                 1.1E−07 
               
               
                 S14 
                 −1.407 
                 −0.3709 
                 0.24995 
                 −0.1268 
                 0.04606 
                 −0.0114 
                 0.00184 
                 −0.0002 
                 1.1E−05 
                 −3E−07 
               
               
                   
               
            
           
         
       
     
     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   . 
     The fifteenth example of the optical imaging system includes a first lens  1510 , a second lens  1520 , a third lens  1530 , a fourth lens  1540 , a fifth lens  1550 , a sixth lens  1560 , a seventh lens  1570 , a filter  1580 , an image sensor  1590 , and a stop (not shown) disposed between the second lens  1520  and the third lens  1530 . 
     The first lens  1510  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1520  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1530  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1540  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1550  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1560  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  1570  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  1570 . For example, the object-side surface of the seventh lens  1570  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1570 . For example, the image-side surface of the seventh lens  1570  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  29   , the stop is disposed at a distance of 1.093 mm from the object-side surface of the first lens  1510  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 15 listed in Table 55 that appears later in this application. 
     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   . Both surfaces of all of the lenses of  FIG.  29    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 29 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1  
                 First 
                 1.942384 
                 0.793197 
                 1.5441 
                 56.1138 
                 1.444 
               
               
                 S2  
                 Lens 
                 9.934274 
                 0.1 
                   
                   
                 1.402 
               
               
                 S3  
                 Second 
                 4.267935 
                 0.2 
                 1.6612 
                 20.3532 
                 1.333 
               
               
                 S4  
                 Lens 
                 2.440295 
                 0.233353 
                   
                   
                 1.244 
               
               
                 S5  
                 Third 
                 3.840803 
                 0.337213 
                 1.5441 
                 56.1138 
                 1.192 
               
               
                 S6  
                 Lens 
                 7.222946 
                 0.29511 
                   
                   
                 1.184 
               
               
                 S7  
                 Fourth 
                 10.23439 
                 0.319724 
                 1.5441 
                 56.1138 
                 1.207 
               
               
                 S8  
                 Lens 
                 26.51645 
                 0.281354 
                   
                   
                 1.283 
               
               
                 S9  
                 Fifth 
                 −5.15487 
                 0.401781 
                 1.651  
                 21.4942 
                 1.301 
               
               
                 S10 
                 Lens 
                 −9.64405 
                 0.147362 
                   
                   
                 1.573 
               
               
                 S11 
                 Sixth 
                 3.891237 
                 0.810422 
                 1.5441 
                 56.1138 
                 1.674 
               
               
                 S12 
                 Lens 
                 4.075702 
                 0.213783 
                   
                   
                 2.386 
               
               
                 S13 
                 Seventh 
                 3.034895 
                 0.604963 
                 1.5348 
                 55.7115 
                 2.823 
               
               
                 S14 
                 Lens 
                 1.86E+00 
                 0.14844 
                   
                   
                 3.015 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.104878 
                 1.5182 
                 64.1973 
                 3.181842592 
               
               
                 S16 
                   
                 Infinity 
                 0.645122 
                   
                   
                 3.2137538 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.531597426 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 30 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 0.1119 
                 −0.0077 
                 0.0183 
                 −0.0487 
                 0.065 
                 −0.0521 
                 0.0239 
                 −0.0059 
                 0.0006 
               
               
                 S2  
                 −26.097 
                 −0.0447 
                 0.0639 
                 −0.0885 
                 0.0802 
                 −0.0469 
                 0.017 
                 −0.0035 
                 0.0003 
               
               
                 S3  
                 −57.375 
                 −0.0493 
                 0.0357 
                 −0.0459 
                 0.0544 
                 −0.0363 
                 0.0155 
                 −0.0043 
                 0.0006 
               
               
                 S4  
                 −8.3441 
                 −0.0492 
                 0.0929 
                 −0.1764 
                 0.2477 
                 −0.2307 
                 0.1429 
                 −0.0507 
                 0.0075 
               
               
                 S5  
                 1.5878 
                 −0.035 
                 0.0435 
                 −0.1062 
                 0.1611 
                 −0.1672 
                 0.1224 
                 −0.0475 
                 0.0073 
               
               
                 S6  
                 −0.0241 
                 −0.0418 
                 −0.0007 
                 0.0745 
                 −0.1984 
                 0.2528 
                 −0.1625 
                 0.0529 
                 −0.0057 
               
               
                 S7  
                 −66.305 
                 −0.0937 
                 0.0545 
                 −0.2 
                 0.3691 
                 −0.4471 
                 0.3394 
                 −0.1416 
                 0.0248 
               
               
                 S8  
                 19.549 
                 −0.0871 
                 0.0483 
                 −0.1552 
                 0.2353 
                 −0.2493 
                 0.1709 
                 −0.0651 
                 0.0103 
               
               
                 S9  
                 7.2773 
                 −0.0493 
                 0.0331 
                 −0.0549 
                 0.0336 
                 −0.0223 
                 0.0129 
                 −0.0036 
                 0 
               
               
                 S10 
                 28.608 
                 −0.1159 
                 0.0778 
                 −0.0525 
                 0.0237 
                 −0.0054 
                 0.0001 
                 0.0002 
                 0 
               
               
                 S11 
                 −51.379 
                 −0.0153 
                 −0.0854 
                 0.093 
                 −0.0763 
                 0.0386 
                 −0.011 
                 0.0013 
                 0 
               
               
                 S12 
                 −31.504 
                 −0.0086 
                 0.0015 
                 −0.0075 
                 0.0041 
                 −0.0012 
                 0.0002 
                 −1E−05 
                 0 
               
               
                 S13 
                 −0.4733 
                 −0.2404 
                 0.1187 
                 −0.0378 
                 0.0079 
                 −0.0011 
                 8E−05 
                 −4E−06 
                 7E−08 
               
               
                 S14 
                 −0.7879 
                 −0.2013 
                 0.0915 
                 −0.0345 
                 0.009 
                 −0.0015 
                 0.0001 
                 −7E−06 
                 2E−07 
               
               
                   
               
            
           
         
       
     
     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   . 
     The sixteenth example of the optical imaging system includes a first lens  1610 , a second lens  1620 , a third lens  1630 , a fourth lens  1640 , a fifth lens  1650 , a sixth lens  1660 , a seventh lens  1670 , a filter  1680 , an image sensor  1690 , and a stop (not shown) disposed between the second lens  1620  and the third lens  1630 . 
     The first lens  1610  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1620  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1630  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1640  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1650  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1660  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  1670  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  1670 . For example, the object-side surface of the seventh lens  1670  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1670 . For example, the image-side surface of the seventh lens  1670  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  31   , the stop is disposed at a distance of 0.919 mm from the object-side surface of the first lens  1610  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 16 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  31    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 31 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1  
                 First 
                 1.739587 
                 0.598921 
                 1.5441 
                 56.1138 
                 1.100 
               
               
                 S2  
                 Lens 
                 11.74576 
                 0.1 
                   
                   
                 1.087 
               
               
                 S3  
                 Second 
                 4.594781 
                 0.22 
                 1.6612 
                 20.3532 
                 1.063 
               
               
                 S4  
                 Lens 
                 2.200821 
                 0.196896 
                   
                   
                 1.082 
               
               
                 S5  
                 Third 
                 3.001538 
                 0.333024 
                 1.5441 
                 56.1138 
                 1.036 
               
               
                 S6  
                 Lens 
                 4.949957 
                 0.220769 
                   
                   
                 1.050 
               
               
                 S7  
                 Fourth 
                 12.04233 
                 0.308386 
                 1.5441 
                 56.1138 
                 1.051 
               
               
                 S8  
                 Lens 
                 17.11235 
                 0.265994 
                   
                   
                 1.143 
               
               
                 S9  
                 Fifth 
                 −7.00397 
                 0.297417 
                 1.5441 
                 56.1138 
                 1.199 
               
               
                 S10 
                 Lens 
                 −7.82081 
                 0.110621 
                   
                   
                 1.343 
               
               
                 S11 
                 Sixth 
                 2.821263 
                 0.520889 
                 1.5441 
                 56.1138 
                 1.400 
               
               
                 S12 
                 Lens 
                 3.003035 
                 0.211839 
                   
                   
                 2.055 
               
               
                 S13 
                 Seventh 
                 2.369754 
                 0.578763 
                 1.5348 
                 55.7115 
                 2.394 
               
               
                 S14 
                 Lens 
                 1.48E+00 
                 0.136479 
                   
                   
                 2.614 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.5182 
                 64.1973 
                 2.875305214 
               
               
                 S16 
                   
                 Infinity 
                 0.59 
                   
                   
                 2.94119348 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.261482111 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 32 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1  
                 0.1283 
                 −0.0055 
                 0.0045 
                 −0.018 
                 0.0078 
                 0.0301 
                 −0.063 
                 0.046 
                 −0.013 
               
               
                 S2  
                 −30.976 
                 −0.0561 
                 0.0444 
                 0.0388 
                 −0.2372 
                 0.4368 
                 −0.4385 
                 0.2311 
                 −0.0505 
               
               
                 S3  
                 −55.147 
                 −0.0853 
                 0.0161 
                 0.2247 
                 −0.6095 
                 0.9607 
                 −0.9142 
                 0.4783 
                 −0.1042 
               
               
                 S4  
                 −6.2418 
                 −0.0492 
                 0.0165 
                 0.1209 
                 −0.3038 
                 0.4429 
                 −0.3247 
                 0.1012 
                 0.0018 
               
               
                 S5  
                 1.4715 
                 −0.0198 
                 0.0181 
                 −0.2874 
                 0.8872 
                 −1.6138 
                 1.7719 
                 −1.012 
                 0.234 
               
               
                 S6  
                 −2.9758 
                 −0.0369 
                 0.0559 
                 −0.2665 
                 0.6033 
                 −0.9754 
                 0.967 
                 −0.4745 
                 0.0967 
               
               
                 S7  
                 −55.862 
                 −0.1542 
                 0.1102 
                 −0.4806 
                 1.1073 
                 −1.6589 
                 1.3653 
                 −0.5002 
                 0.0586 
               
               
                 S8  
                 −87.891 
                 −0.144 
                 0.1419 
                 −0.5705 
                 1.2436 
                 −1.7221 
                 1.4048 
                 −0.6059 
                 0.1078 
               
               
                 S9  
                 5.6449 
                 −0.0669 
                 0.1168 
                 −0.4406 
                 0.758 
                 −0.7688 
                 0.403 
                 −0.0844 
                 0 
               
               
                 S10 
                 28.194 
                 −0.1694 
                 0.0795 
                 −0.1626 
                 0.3248 
                 −0.3223 
                 0.1516 
                 −0.0266 
                 0 
               
               
                 S11 
                 −29.003 
                 0.0237 
                 −0.2637 
                 0.2396 
                 −0.1608 
                 0.0735 
                 −0.0259 
                 0.0049 
                 0 
               
               
                 S12 
                 −43.551 
                 0.0645 
                 −0.1366 
                 0.0918 
                 −0.0389 
                 0.0101 
                 −0.0014 
                  8E−05 
                 0 
               
               
                 S13 
                 −0.6727 
                 −0.4248 
                 0.2545 
                 −0.086 
                 0.0183 
                 −0.0024 
                 0.0002 
                 −9E−06 
                 2E−07 
               
               
                 S14 
                 −0.8377 
                 −0.3391 
                 0.2016 
                 −0.0975 
                 0.0328 
                 −0.0071 
                 0.0009 
                 −6E−05 
                 2E−06 
               
               
                   
               
            
           
         
       
     
     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   . 
     The sixteenth example of the optical imaging system includes a first lens  1710 , a second lens  1720 , a third lens  1730 , a fourth lens  1740 , a fifth lens  1750 , a sixth lens  1760 , a seventh lens  1770 , a filter  1780 , an image sensor  1790 , and a stop (not shown) disposed in front of the first lens  1710 . 
     The first lens  1710  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1720  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1730  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1740  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1750  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1760  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  1770  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  1770 . For example, the object-side surface of the seventh lens  1770  is convex in the paraxial region, and becomes concave toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1770 . For example, the image-side surface of the seventh lens  1770  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  33   , the stop is disposed at a distance of 0.250 mm from the object-side surface of the first lens  1710  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 17 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  33    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 33 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.721083 
                 0.634874 
                 1.5441 
                 56.1138 
                 1.100 
               
               
                 S2 
                 Lens 
                 11.45706 
                 0.121172 
                   
                   
                 1.071 
               
               
                 S3 
                 Second 
                 119.1721 
                 0.203286 
                 1.6612 
                 20.3532 
                 1.057 
               
               
                 S4 
                 Lens 
                 4.475787 
                 0.084345 
                   
                   
                 1.043 
               
               
                 S5 
                 Third 
                 4.525763 
                 0.310946 
                 1.5441 
                 56.1138 
                 1.051 
               
               
                 S6 
                 Lens 
                 20.60825 
                 0.215768 
                   
                   
                 1.015 
               
               
                 S7 
                 Fourth 
                 13.21519 
                 0.236935 
                 1.5441 
                 56.1138 
                 1.019 
               
               
                 S8 
                 Lens 
                 16.27332 
                 0.210349 
                   
                   
                 1.070 
               
               
                 S9 
                 Fifth 
                 −6.57315 
                 0.41188 
                 1.651 
                 21.4942 
                 1.076 
               
               
                 S10 
                 Lens 
                 −10.4553 
                 0.371031 
                   
                   
                 1.320 
               
               
                 S11 
                 Sixth 
                 3.477886 
                 0.631775 
                 1.5441 
                 56.1138 
                 1.556 
               
               
                 S12 
                 Lens 
                 3.199354 
                 0.267164 
                   
                   
                 2.337 
               
               
                 S13 
                 Seventh 
                 2.880384 
                 0.505977 
                 1.5441 
                 56.1138 
                 2.489 
               
               
                 S14 
                 Lens 
                 1.71E+00 
                 0.138438 
                   
                   
                 2.666 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.5182 
                 64.1973 
                 3.102058013 
               
               
                 S16 
                   
                 Infinity 
                 0.59 
                   
                   
                 3.177033741 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.529142415 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 34 
               
               
                   
               
               
                   
                 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 
               
               
                   
               
            
           
         
       
     
     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   . 
     The eighteenth example of the optical imaging system includes a first lens  1810 , a second lens  1820 , a third lens  1830 , a fourth lens  1840 , a fifth lens  1850 , a sixth lens  1860 , a seventh lens  1870 , a filter  1880 , an image sensor  1890 , and a stop (not shown) disposed between the first lens  1810  and the second lens  1820 . 
     The first lens  1810  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1820  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1830  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1840  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  1850  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1860  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  1870  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  1870 . For example, the object-side surface of the seventh lens  1870  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1870 . For example, the image-side surface of the seventh lens  1870  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  35   , the stop is disposed at a distance of 0.768 mm from the object-side surface of the first lens  1810  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 18 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  35    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 35 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.954768 
                 0.767754 
                 1.5441 
                 56.1138 
                 1.300 
               
               
                 S2 
                 Lens 
                 7.885948 
                 0.100479 
                   
                   
                 1.209 
               
               
                 S3 
                 Second 
                 4.828842 
                 0.23659 
                 1.6612 
                 20.3532 
                 1.213 
               
               
                 S4 
                 Lens 
                 2.866155 
                 0.449288 
                   
                   
                 1.265 
               
               
                 S5 
                 Third 
                 8.865496 
                 0.484453 
                 1.5441 
                 56.1138 
                 1.268 
               
               
                 S6 
                 Lens 
                 16.67462 
                 0.275209 
                   
                   
                 1.403 
               
               
                 S7 
                 Fourth 
                 10.67145 
                 0.369792 
                 1.5441 
                 56.1138 
                 1.456 
               
               
                 S8 
                 Lens 
                 22.44715 
                 0.280107 
                   
                   
                 1.642 
               
               
                 S9 
                 Fifth 
                 −4.38165 
                 0.271148 
                 1.6612 
                 20.3532 
                 1.769 
               
               
                 S10 
                 Lens 
                 −4.38283 
                 0.104957 
                   
                   
                 2.019 
               
               
                 S11 
                 Sixth 
                 7.952227 
                 0.567669 
                 1.5441 
                 56.1138 
                 2.357 
               
               
                 S12 
                 Lens 
                 −3.03675 
                 0.464825 
                   
                   
                 2.647 
               
               
                 S13 
                 Seventh 
                 −7.50793 
                 0.32 
                 1.5441 
                 56.1138 
                 3.123 
               
               
                 S14 
                 Lens 
                 1.80E+00 
                 0.189124 
                   
                   
                 3.381 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5183 
                 64.1664 
                 3.605133315 
               
               
                 S16 
                   
                 Infinity 
                 0.658604 
                   
                   
                 3.63479604 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.930447751 
               
               
                   
                 Plane 
                   
                   
                   
                   
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 36 
               
               
                   
               
               
                   
                 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 
               
               
                   
               
            
           
         
       
     
     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   . 
     The nineteenth example of the optical imaging system includes a first lens  1910 , a second lens  1920 , a third lens  1930 , a fourth lens  1940 , a fifth lens  1950 , a sixth lens  1960 , a seventh lens  1970 , a filter  1980 , an image sensor  1990 , and a stop (not shown) disposed between the first lens  1910  and the second lens  1920 . 
     The first lens  1910  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  1920  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  1930  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  1940  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The fifth lens  1950  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  1960  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  1970  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  1970 . For example, the object-side surface of the seventh lens  1970  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  1970 . For example, the image-side surface of the seventh lens  1970  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  37   , the stop is disposed at a distance of 0.624 mm from the object-side surface of the first lens  1910  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 19 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  37    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 37 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.777275 
                 0.623828 
                 1.5441 
                 56.1138 
                 1.217 
               
               
                 S2 
                 Lens 
                 6.456568 
                 0.1 
                   
                   
                 1.158 
               
               
                 S3 
                 Second 
                 4.41033 
                 0.236253 
                 1.6612 
                 20.3532 
                 1.157 
               
               
                 S4 
                 Lens 
                 2.658351 
                 0.413785 
                   
                   
                 1.184 
               
               
                 S5 
                 Third 
                 6.587882 
                 0.464049 
                 1.5441 
                 56.1138 
                 1.177 
               
               
                 S6 
                 Lens 
                 10.52328 
                 0.17773 
                   
                   
                 1.282 
               
               
                 S7 
                 Fourth 
                 13.47488 
                 0.362661 
                 1.5441 
                 56.1138 
                 1.306 
               
               
                 S8 
                 Lens 
                 −20.23 
                 0.232536 
                   
                   
                 1.444 
               
               
                 S9 
                 Fifth 
                 −3.18309 
                 0.2 
                 1.6612 
                 20.3532 
                 1.456 
               
               
                 S10 
                 Lens 
                 −4.21505 
                 0.1 
                   
                   
                 1.625 
               
               
                 S11 
                 Sixth 
                 6.764633 
                 0.608917 
                 1.5441 
                 56.1138 
                 2.207 
               
               
                 S12 
                 Lens 
                 −2.87919 
                 0.421093 
                   
                   
                 2.145 
               
               
                 S13 
                 Seventh 
                 −6.99582 
                 0.32 
                 1.5441 
                 56.1138 
                 2.280 
               
               
                 S14 
                 Lens 
                 1.69E+00 
                 0.14847 
                   
                   
                 3.165 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.5183 
                 64.1664 
                 2.850141022 
               
               
                 S16 
                   
                 Infinity 
                 0.680678 
                   
                   
                 2.888122651 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.276451571 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 38 
               
               
                   
               
               
                   
                 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 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twentieth example of the optical imaging system includes a first lens  2010 , a second lens  2020 , a third lens  2030 , a fourth lens  2040 , a fifth lens  2050 , a sixth lens  2060 , a seventh lens  2070 , a filter  2080 , an image sensor  2090 , and a stop (not shown) disposed between the first lens  2010  and the second lens  2020 . 
     The first lens  2010  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2020  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2030  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  2040  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  2050  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  2060  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The seventh lens  2070  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     No inflection point is formed on the object-side surface of the seventh lens  2070 . 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2070 . For example, the image-side surface of the seventh lens  2070  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  39   , the stop is disposed at a distance of 0.641 mm from the object-side surface of the first lens  2010  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 20 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  39    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 39 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.797739 
                 0.640884 
                 1.5441 
                 56.1138 
                 1.270 
               
               
                 S2 
                 Lens 
                 3.742203 
                 0.119077 
                   
                   
                 1.211 
               
               
                 S3 
                 Second 
                 3.057321 
                 0.22 
                 1.6612 
                 20.3532 
                 1.190 
               
               
                 S4 
                 Lens 
                 2.795092 
                 0.393079 
                   
                   
                 1.130 
               
               
                 S5 
                 Third 
                 10.62153 
                 0.464034 
                 1.5441 
                 56.1138 
                 1.153 
               
               
                 S6 
                 Lens 
                 9.026562 
                 0.1 
                   
                   
                 1.289 
               
               
                 S7 
                 Fourth 
                 7.987624 
                 0.36214 
                 1.5441 
                 56.1138 
                 1.328 
               
               
                 S8 
                 Lens 
                 138.7678 
                 0.233384 
                   
                   
                 1.454 
               
               
                 S9 
                 Fifth 
                 −4.1765 
                 0.219829 
                 1.6612 
                 20.3532 
                 1.518 
               
               
                 S10 
                 Lens 
                 −4.13945 
                 0.1 
                   
                   
                 1.656 
               
               
                 S11 
                 Sixth 
                 4.613403 
                 0.608917 
                 1.5441 
                 56.1138 
                 2.000 
               
               
                 S12 
                 Lens 
                 −3.59211 
                 0.472598 
                   
                   
                 2.038 
               
               
                 S13 
                 Seventh 
                 −7.00157 
                 0.32 
                 1.5441 
                 56.1138 
                 2.049 
               
               
                 S14 
                 Lens 
                 1.69E+00 
                 0.110689 
                   
                   
                 2.685 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.5183 
                 64.1664 
                 2.941536401 
               
               
                 S16 
                   
                 Infinity 
                 0.549988 
                   
                   
                 3.008025404 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.291609937 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 40 
               
               
                   
               
               
                   
                 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 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-first example of the optical imaging system includes a first lens  2110 , a second lens  2120 , a third lens  2130 , a fourth lens  2140 , a fifth lens  2150 , a sixth lens  2160 , a seventh lens  2170 , a filter  2180 , an image sensor  2190 , and a stop (not shown) disposed between the second lens  2120  and the third lens  2130 . 
     The first lens  2110  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2120  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2130  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  2140  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The fifth lens  2150  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  2160  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  2170  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  2170 . For example, the object-side surface of the seventh lens  2170  is convex in the paraxial region, and becomes concave toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2170 . For example, the image-side surface of the seventh lens  2170  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  41   , the stop is disposed at a distance of 1.070 mm from the object-side surface of the first lens  2110  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 21 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  41    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 41 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.601328 
                 0.4703 
                 1.55 
                 56.11 
                 1.10 
               
               
                 S2 
                 Lens 
                 6.723341 
                 0.02 
                   
                   
                 1.07 
               
               
                 S3 
                 Second 
                 1.565428 
                 0.18945 
                 1.66 
                 20.40 
                 1.00 
               
               
                 S4 
                 Lens 
                 1.191167 
                 0.385927 
                   
                   
                 0.91 
               
               
                 S5 
                 Third 
                 3.880104 
                 0.1 
                 1.66 
                 20.40 
                 0.90 
               
               
                 S6 
                 Lens 
                 3.812373 
                 0.220903 
                   
                   
                 0.93 
               
               
                 S7 
                 Fourth 
                 8.909025 
                 0.639932 
                 1.55 
                 56.11 
                 1.10 
               
               
                 S8 
                 Lens 
                 −75.7282 
                 0.331313 
                   
                   
                 1.28 
               
               
                 S9 
                 Fifth 
                 −12.2751 
                 0.14904 
                 1.65 
                 21.49 
                 1.33 
               
               
                 S10 
                 Lens 
                 −15.1629 
                 0.079448 
                   
                   
                 1.57 
               
               
                 S11 
                 Sixth 
                 4.140002 
                 0.553938 
                 1.65 
                 21.49 
                 1.60 
               
               
                 S12 
                 Lens 
                 3.897447 
                 0.243033 
                   
                   
                 2.00 
               
               
                 S13 
                 Seventh 
                 1.919931 
                 0.511414 
                 1.54 
                 55.71 
                 2.82 
               
               
                 S14 
                 Lens 
                 1.453313 
                 0.182833 
                   
                   
                 2.58 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.52 
                 64.20 
                 2.89 
               
               
                 S16 
                   
                 Infinity 
                 0.532581 
                   
                   
                 2.93 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.26 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 42 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.1212 
                 0.0104 
                 0.0128 
                 −0.0281 
                 0.0435 
                 −0.0381 
                 0.0173 
                 −0.0033 
                 0 
                 0 
               
               
                 S2 
                 29.637 
                 −0.0905 
                 0.3333 
                 −0.7525 
                 0.9665 
                 −0.741 
                 0.3153 
                 −0.0585 
                 0 
                 0 
               
               
                 S3 
                 −2.48 
                 −0.117 
                 0.4074 
                 −0.8715 
                 1.1061 
                 −0.8249 
                 0.3423 
                 −0.062 
                 0 
                 0 
               
               
                 S4 
                 −0.6581 
                 −0.0925 
                 0.1463 
                 −0.1165 
                 −0.011 
                 0.2266 
                 −0.2114 
                 0.0722 
                 0 
                 0 
               
               
                 S5 
                 3.0804 
                 −0.1259 
                 0.1776 
                 −0.2375 
                 0.4049 
                 −0.4425 
                 0.2969 
                 −0.0837 
                 0 
                 0 
               
               
                 S6 
                 10.659 
                 −0.1644 
                 0.1692 
                 −0.1502 
                 0.1444 
                 −0.0762 
                 0.0151 
                 −0.0003 
                 0 
                 0 
               
               
                 S7 
                 21.918 
                 −0.0617 
                 0.0459 
                 −0.0379 
                 0.0564 
                 −0.0364 
                 0.0097 
                 −0.0009 
                 0 
                 0 
               
               
                 S8 
                 25.736 
                 −0.0713 
                 0.0217 
                 −0.0106 
                 0.0072 
                 −0.0023 
                 0.0003 
                 −2E−05 
                 0 
                 0 
               
               
                 S9 
                 1.6857 
                 −0.1436 
                 0.2565 
                 −0.4332 
                 0.4184 
                 −0.2461 
                 0.0826 
                 −0.0124 
                 0 
                 0 
               
               
                 S10 
                 75.072 
                 −0.1186 
                 0.1217 
                 −0.1545 
                 0.1026 
                 −0.0332 
                 0.005 
                 −0.0003 
                 0 
                 0 
               
               
                 S11 
                 −52.836 
                 0.0701 
                 −0.2199 
                 0.2058 
                 −0.1343 
                 0.0526 
                 −0.0106 
                 0.0009 
                 0 
                 0 
               
               
                 S12 
                 0 
                 −0.0521 
                 −0.0332 
                 0.0285 
                 −0.0129 
                 0.0028 
                 3E−06 
                 −0.0001 
                   2E−05 
                 −5E−07 
               
               
                 S13 
                 −0.9427 
                 −0.3217 
                 0.0977 
                 −0.0029 
                 −0.0058 
                 0.0017 
                 −0.0002 
                   2E−05 
                 −4E−07 
                 0 
               
               
                 S14 
                 −1.0048 
                 −0.2798 
                 0.1282 
                 −0.0461 
                 0.0122 
                 −0.0022 
                 0.0002 
                 −1E−05 
                   4E−07 
                 0 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-second example of the optical imaging system includes a first lens  2210 , a second lens  2220 , a third lens  2230 , a fourth lens  2240 , a fifth lens  2250 , a sixth lens  2260 , a seventh lens  2270 , a filter  2280 , an image sensor  2290 , and a stop (not shown) disposed between the second lens  2220  and the third lens  2230 . 
     The first lens  2210  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2220  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2230  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  2240  has a positive refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is convex. 
     The fifth lens  2250  has a negative refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  2260  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  2270  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  2270 . For example, the object-side surface of the seventh lens  2270  is convex in the paraxial region, and becomes concave toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2270 . For example, the image-side surface of the seventh lens  2270  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  43   , the stop is disposed at a distance of 1.050 mm from the object-side surface of the first lens  2210  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 22 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  43    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 43 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.618399 
                 0.481078 
                 1.55 
                 56.11 
                 1.11 
               
               
                 S2 
                 Lens 
                 6.899203 
                 0.02 
                   
                   
                 1.08 
               
               
                 S3 
                 Second 
                 1.572709 
                 0.21298 
                 1.66 
                 20.40 
                 1.01 
               
               
                 S4 
                 Lens 
                 1.198393 
                 0.337014 
                   
                   
                 0.91 
               
               
                 S5 
                 Third 
                 3.880395 
                 0.1 
                 1.66 
                 20.40 
                 0.90 
               
               
                 S6 
                 Lens 
                 3.81266 
                 0.18744 
                   
                   
                 0.93 
               
               
                 S7 
                 Fourth 
                 9.071729 
                 0.55292 
                 1.55 
                 56.11 
                 1.08 
               
               
                 S8 
                 Lens 
                 −55.0996 
                 0.304351 
                   
                   
                 1.24 
               
               
                 S9 
                 Fifth 
                 −12.1837 
                 0.114265 
                 1.65 
                 21.49 
                 1.30 
               
               
                 S10 
                 Lens 
                 −15.0249 
                 0.060547 
                   
                   
                 1.57 
               
               
                 S11 
                 Sixth 
                 4.118358 
                 0.587621 
                 1.65 
                 21.49 
                 1.52 
               
               
                 S12 
                 Lens 
                 3.854992 
                 0.224328 
                   
                   
                 1.90 
               
               
                 S13 
                 Seventh 
                 1.919931 
                 0.553429 
                 1.54 
                 55.71 
                 2.82 
               
               
                 S14 
                 Lens 
                 1.453313 
                 0.181552 
                   
                   
                 2.49 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.11 
                 1.52 
                 64.20 
                 2.83 
               
               
                 S16 
                   
                 Infinity 
                 0.533801 
                   
                   
                 2.87 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.27 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 44 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.2038 
                 0.0111 
                 0.0146 
                 −0.0331 
                 0.0534 
                 −0.0486 
                 0.023 
                 −0.0046 
                 0 
               
               
                 S2 
                 30.534 
                 −0.0868 
                 0.313 
                 −0.693 
                 0.872 
                 −0.655 
                 0.273 
                 −0.0496 
                 0 
               
               
                 S3 
                 −2.347 
                 −0.114 
                 0.3865 
                 −0.8113 
                 1.0115 
                 −0.741 
                 0.3021 
                 −0.0538 
                 0 
               
               
                 S4 
                 −0.7241 
                 −0.0836 
                 0.1372 
                 −0.1055 
                 −0.0097 
                 0.1953 
                 −0.1778 
                 0.0592 
                 0 
               
               
                 S5 
                 3.0804 
                 −0.1259 
                 0.1776 
                 −0.2375 
                 0.4049 
                 −0.4425 
                 0.2969 
                 −0.0837 
                 0 
               
               
                 S6 
                 10.659 
                 −0.1644 
                 0.1692 
                 −0.1502 
                 0.1444 
                 −0.0762 
                 0.0151 
                 −0.0003 
                 0 
               
               
                 S7 
                 21.918 
                 −0.0617 
                 0.0459 
                 −0.0379 
                 0.0564 
                 −0.0364 
                 0.0097 
                 −0.0009 
                 0 
               
               
                 S8 
                 25.736 
                 −0.0713 
                 0.0217 
                 −0.0106 
                 0.0072 
                 −0.0023 
                 0.0003 
                 −2E−05 
                 0 
               
               
                 S9 
                 1.6857 
                 −0.1436 
                 0.2565 
                 −0.4332 
                 0.4184 
                 −0.2461 
                 0.0826 
                 −0.0124 
                 0 
               
               
                 S10 
                 75.072 
                 −0.1186 
                 0.1217 
                 −0.1545 
                 0.1026 
                 −0.0332 
                 0.005 
                 −0.0003 
                 0 
               
               
                 S11 
                 −52.836 
                 0.0701 
                 −0.2199 
                 0.2058 
                 −0.1343 
                 0.0526 
                 −0.0106 
                 0.0009 
                 0 
               
               
                 S12 
                 −34.09 
                 0.0153 
                 −0.0851 
                 0.0637 
                 −0.0302 
                 0.0086 
                 −0.0013 
                   8E−05 
                 0 
               
               
                 S13 
                 −0.9427 
                 −0.3217 
                 0.0977 
                 −0.0029 
                 −0.0058 
                 0.0017 
                 −0.0002 
                   2E−05 
                 −4E−07 
               
               
                 S14 
                 −1.0048 
                 −0.2798 
                 0.1282 
                 −0.0461 
                 0.0122 
                 −0.0022 
                 0.0002 
                 −1E−05 
                   4E−07 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-second example of the optical imaging system includes a first lens  2310 , a second lens  2320 , a third lens  2330 , a fourth lens  2340 , a fifth lens  2350 , a sixth lens  2360 , a seventh lens  2370 , a filter  2380 , an image sensor  2390 , and a stop (not shown) disposed between the second lens  2320  and the third lens  2330 . 
     The first lens  2310  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2320  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2330  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  2340  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  2350  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  2360  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  2370  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  2370 . For example, the object-side surface of the seventh lens  2370  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2370 . For example, the image-side surface of the seventh lens  2370  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  45   , the stop is disposed at a distance of 1.082 mm from the object-side surface of the first lens  2310  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 23 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  45    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 45 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 2.33687036 
                 0.432116 
                 1.546 
                 56.114 
                 1.365 
               
               
                 S2 
                 Lens 
                 2.85742179 
                 0.025 
                   
                   
                 1.352 
               
               
                 S3 
                 Second 
                 2.542185152 
                 0.6 
                 1.546 
                 56.114 
                 1.326 
               
               
                 S4 
                 Lens 
                 36.41699638 
                 0.025 
                   
                   
                 1.254 
               
               
                 S5 
                 Third 
                 8.193690072 
                 0.23 
                 1.679 
                 19.236 
                 1.217 
               
               
                 S6 
                 Lens 
                 3.333584263 
                 0.3221813 
                   
                   
                 1.227 
               
               
                 S7 
                 Fourth 
                 6.342713056 
                 0.57111 
                 1.546 
                 56.114 
                 1.322 
               
               
                 S8 
                 Lens 
                 11.23703124 
                 0.4048969 
                   
                   
                 1.372 
               
               
                 S9 
                 Fifth 
                 18.96145717 
                 0.5066546 
                 1.546 
                 56.114 
                 1.590 
               
               
                 S10 
                 Lens 
                 6.683687757 
                 0.0731741 
                   
                   
                 1.931 
               
               
                 S11 
                 Sixth 
                 2.354768418 
                 0.6194256 
                 1.546 
                 56.114 
                 2.023 
               
               
                 S12 
                 Lens 
                 2.565132372 
                 0.1492156 
                   
                   
                 2.456 
               
               
                 S13 
                 Seventh 
                 1.424653122 
                 0.5400405 
                 1.546 
                 56.114 
                 2.710 
               
               
                 S14 
                 Lens 
                 1.282185763 
                 0.3444098 
                   
                   
                 2.982 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.258 
               
               
                 S16 
                   
                 Infinity 
                 0.6497077 
                   
                   
                 3.333867296 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.734065733 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 46 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.9157 
                 −0.0242 
                 0.04834 
                 −0.0925 
                 0.03855 
                 0.05774 
                 −0.0925 
                 0.05787 
                 −0.0178 
                 0.0022 
               
               
                 S2 
                 −12.376 
                 0.06268 
                 −0.1415 
                 −0.3392 
                 0.89911 
                 −0.7358 
                 0.18342 
                 0.07554 
                 −0.0533 
                 0.00878 
               
               
                 S3 
                 −0.8319 
                 0.03105 
                 −0.03 
                 −0.6522 
                 1.49233 
                 −1.3976 
                 0.63517 
                 −0.1105 
                 −0.0112 
                 0.00479 
               
               
                 S4 
                 −7.367 
                 −0.1852 
                 1.71789 
                 −6.8471 
                 14.8214 
                 −19.261 
                 15.4645 
                 −7.5184 
                 2.03069 
                 −0.2341 
               
               
                 S5 
                 12.337 
                 −0.2536 
                 1.74889 
                 −6.6898 
                 14.6458 
                 −19.491 
                 16.0712 
                 −8.0307 
                 2.2327 
                 −0.2657 
               
               
                 S6 
                 1.14541 
                 −0.0901 
                 0.21678 
                 −0.6218 
                 1.45024 
                 −2.2709 
                 2.26343 
                 −1.3948 
                 0.48954 
                 −0.0747 
               
               
                 S7 
                 −12.034 
                 0.04238 
                 −0.6838 
                 2.52889 
                 −5.5859 
                 7.65595 
                 −6.5535 
                 3.38285 
                 −0.9545 
                 0.11242 
               
               
                 S8 
                 5.85918 
                 −0.0168 
                 −0.1532 
                 0.44792 
                 −0.9325 
                 1.23635 
                 −1.0356 
                 0.53063 
                 −0.1517 
                 0.01866 
               
               
                 S9 
                 −43.521 
                 0.01961 
                 0.0447 
                 −0.1445 
                 0.17405 
                 −0.1293 
                 0.05892 
                 −0.0164 
                 0.00257 
                 −0.0002 
               
               
                 S10 
                 −9.9703 
                 −0.0233 
                 −0.0527 
                 0.08206 
                 −0.0601 
                 0.02462 
                 −0.0062 
                 0.00098 
                  −9E−05 
                  3.5E−06 
               
               
                 S11 
                 −16.199 
                 0.13832 
                 −0.3024 
                 0.30558 
                 −0.2185 
                 0.10175 
                 −0.0304 
                 0.00571 
                 −0.0006 
                  2.9E−05 
               
               
                 S12 
                 0.01179 
                 −0.0979 
                 0.0662 
                 −0.0617 
                 0.03374 
                 −0.0119 
                 0.00278 
                 −0.0004 
                  3.3E−05 
                  −1E−06 
               
               
                 S13 
                 −0.8414 
                 −0.3646 
                 0.15334 
                 −0.0353 
                 0.00329 
                 0.00039 
                 −0.0001 
                  1.6E−05 
                  −8E−07 
                  1.3E−08 
               
               
                 S14 
                 −1.4251 
                 −0.2584 
                 0.13506 
                 −0.0538 
                 0.01612 
                 −0.0034 
                 0.00047 
                  −4E−05 
                  1.9E−06 
                  −4E−08 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-fourth example of the optical imaging system includes a first lens  2410 , a second lens  2420 , a third lens  2430 , a fourth lens  2440 , a fifth lens  2450 , a sixth lens  2460 , a seventh lens  2470 , a filter  2480 , an image sensor  2490 , and a stop (not shown) disposed between the second lens  2420  and the third lens  2430 . 
     The first lens  2410  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2420  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2430  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fourth lens  2440  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  2450  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  2460  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     The seventh lens  2470  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     One inflection point is formed on the object-side surface of the seventh lens  2470 . For example, the object-side surface of the seventh lens  2470  is convex in the paraxial region, and becomes concave toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2470 . For example, the image-side surface of the seventh lens  2470  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  47   , the stop is disposed at a distance of 0.963 mm from the object-side surface of the first lens  2410  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 24 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  47    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 47 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.749266485 
                 0.7080384 
                 1.546 
                 56.114 
                 1.280 
               
               
                 S2 
                 Lens 
                 7.762717699 
                 0.025 
                   
                   
                 1.225 
               
               
                 S3 
                 Second 
                 3.688311274 
                 0.23 
                 1.667 
                 20.353 
                 1.160 
               
               
                 S4 
                 Lens 
                 2.452435605 
                 0.355115 
                   
                   
                 1.033 
               
               
                 S5 
                 Third 
                 39.91400184 
                 0.23 
                 1.667 
                 20.353 
                 1.053 
               
               
                 S6 
                 Lens 
                 22.42331799 
                 0.025 
                   
                   
                 1.090 
               
               
                 S7 
                 Fourth 
                 6.687663883 
                 0.3582464 
                 1.546 
                 56.114 
                 1.130 
               
               
                 S8 
                 Lens 
                 17.14258608 
                 0.393231 
                   
                   
                 1.201 
               
               
                 S9 
                 Fifth 
                 10.0342824 
                 0.3524638 
                 1.656 
                 21.525 
                 1.329 
               
               
                 S10 
                 Lens 
                 6.555482673 
                 0.2520001 
                   
                   
                 1.664 
               
               
                 S11 
                 Sixth 
                 −324.864371 
                 0.6106713 
                 1.656 
                 21.525 
                 1.841 
               
               
                 S12 
                 Lens 
                 12.28603941 
                 0.0342286 
                   
                   
                 2.288 
               
               
                 S13 
                 Seventh 
                 1.951834481 
                 0.8257306 
                 1.536 
                 55.656 
                 2.578 
               
               
                 S14 
                 Lens 
                 1.756651038 
                 0.2187466 
                   
                   
                 2.963 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.258 
               
               
                 S16 
                   
                 Infinity 
                 0.6499884 
                   
                   
                 3.334462215 
               
               
                 S17 
                 Imaging 
                 Infinity 
                   
                   
                   
                 3.728830434 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 48 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.2398 
                 5.3E−05 
                 0.02249 
                 −0.0553 
                   0.07912 
                 −0.0725 
                 0.04077 
                 −0.0137 
                 0.00194 
                 0 
               
               
                 S2 
                 6.04243 
                 −0.0363 
                 0.03435 
                   0.01444 
                 −0.1124 
                   0.16667 
                 −0.1307 
                 0.05398 
                 −0.0092 
                 0 
               
               
                 S3 
                 −1.7137 
                 −0.0472 
                 0.04097 
                   0.02639 
                 −0.116  
                   0.18951 
                 −0.1701 
                 0.08267 
                 −0.0161 
                 0 
               
               
                 S4 
                 −0.2358 
                 −0.0167 
                 −0.01 
                   0.05643 
                 −0.0195 
                 −0.1069 
                 0.22786 
                 −0.1897 
                 0.06253 
                 0 
               
               
                 S5 
                 −0.0716 
                 −0.0169 
                 −0.0047 
                 −0.1892 
                   0.62952 
                 −1.0256 
                 0.96124 
                 −0.4977 
                 0.11269 
                 0 
               
               
                 S6 
                 −1.1573 
                 0.01994 
                 −0.1372 
                   0.14441 
                 −0.0555 
                   0.14079 
                 −0.2746 
                 0.2067 
                 −0.0539 
                 0 
               
               
                 S7 
                 −28.459 
                 0.02126 
                 −0.1017 
                   0.06112 
                   0.04565 
                   0.01801 
                 −0.1503 
                 0.1307 
                 −0.0346 
                 0 
               
               
                 S8 
                 −2.3038 
                 −0.0386 
                 0.03937 
                 −0.1206 
                  0.2443 
                 −0.4112 
                 0.47457 
                 −0.3301 
                 0.12291 
                    −0.0182 
               
               
                 S9 
                 −3.3254 
                 −0.1025 
                 0.04401 
                 −0.1067 
                   0.23796 
                 −0.3262 
                 0.24087 
                 −0.0929 
                 0.01464 
                 0 
               
               
                 S10 
                 −25.215 
                 −0.0274 
                 −0.1331 
                   0.19086 
                 −0.1562 
                   0.07712 
                 −0.0231 
                 0.00411 
                 −0.0003 
                 0 
               
               
                 S11 
                 23.2017 
                 0.16789 
                 −0.2882 
                   0.24139 
                 −0.1422 
                   0.05329 
                 −0.0119 
                 0.00149 
                 −8E−05 
                 0 
               
               
                 S12 
                 −49.948 
                 0.00684 
                 −0.0175 
                   0.00273 
                  0.0001 
                 −0.0001 
                 3.8E−05 
                 −6E−06 
                 3.8E−07 
                 0 
               
               
                 S13 
                 −1.9292 
                 −0.2614 
                 0.12601 
                 −0.0405 
                   0.00941 
                 −0.0015 
                 0.00015 
                 −9E−06 
                 2.2E−07 
                 0 
               
               
                 S14 
                 −0.8288 
                 −0.1737 
                 0.06522 
                 −0.0206 
                   0.00465 
                 −0.0007 
                 6.3E−05 
                 −3E−06 
                 6.6E−08 
                 0 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-fifth example of the optical imaging system includes a first lens  2510 , a second lens  2520 , a third lens  2530 , a fourth lens  2540 , a fifth lens  2550 , a sixth lens  2560 , a seventh lens  2570 , a filter  2580 , an image sensor  2590 , and a stop (not shown) disposed between the second lens  2520  and the third lens  2530 . 
     The first lens  2510  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2520  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2530  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The fourth lens  2540  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  2550  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The sixth lens  2560  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The seventh lens  2570  has a negative refractive power, a paraxial region of each of an object-side surface and an image-side surface thereof is concave. 
     No inflection point is formed on the object-side surface of the seventh lens  2570 . 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2570 . For example, the image-side surface of the seventh lens  2570  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  49   , the stop is disposed at a distance of 0.872 mm from the object-side surface of the first lens  2510  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 25 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  49    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 49 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective  
               
               
                 Surface  
                   
                 Radius of  
                 Thickness/ 
                 Index of  
                 Abbe  
                 Aperture  
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.76028791 
                 0.6171815 
                 1.546 
                 56.114 
                 1.100 
               
               
                 S2 
                 Lens 
                 14.12333348 
                 0.025 
                   
                   
                 1.040 
               
               
                 S3 
                 Second 
                 5.834118934 
                 0.23 
                 1.667 
                 20.353 
                 1.011 
               
               
                 S4 
                 Lens 
                 3.122671446 
                 0.3733379 
                   
                   
                 0.919 
               
               
                 S5 
                 Third 
                 −49.94173366 
                 0.3798697 
                 1.546 
                 56.114 
                 0.995 
               
               
                 S6 
                 Lens 
                 −15.18699611 
                 0.1809039 
                   
                   
                 1.096 
               
               
                 S7 
                 Fourth 
                 23.36800299 
                 0.3031664 
                 1.667 
                 20.353 
                 1.124 
               
               
                 S8 
                 Lens 
                 12.20982926 
                 0.3354305 
                   
                   
                 1.309 
               
               
                 S9 
                 Fifth 
                 −4.394771982 
                 0.4728905 
                 1.546 
                 56.114 
                 1.471 
               
               
                 S10 
                 Lens 
                 −1.598299305 
                 0.025 
                   
                   
                 1.698 
               
               
                 S11 
                 Sixth 
                 −6.081499124 
                 0.5446656 
                 1.546 
                 56.114 
                 1.822 
               
               
                 S12 
                 Lens 
                 −3.014533539 
                 0.2724323 
                   
                   
                 2.192 
               
               
                 S13 
                 Seventh 
                 −6.149442968 
                 0.42237 
                 1.546 
                 56.114 
                 2.462 
               
               
                 S14 
                 Lens 
                 1.636694252 
                 0.1933361 
                   
                   
                 2.880 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.223 
               
               
                 S16 
                   
                 Infinity 
                 0.6544156 
                   
                   
                 3.300 
               
               
                 S17 
                 Imaging  
                 Infinity 
                   
                   
                   
                 3.728 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 50 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −1.0054 
                 0.02246 
                 0.02216 
                 −0.0696 
                 0.16036 
                 −0.2238 
                 0.18065 
                 −0.0791 
                 0.01412 
                 0 
               
               
                 S2 
                 −1.5097 
                 −0.1275 
                 0.3975 
                 −0.6982 
                 0.68012 
                 −0.322 
                 0.02875 
                 0.02904 
                 −0.0076 
                 0 
               
               
                 S3 
                 6.02943 
                 −0.163 
                 0.45041 
                 −0.8514 
                 1.05249 
                 −0.8203 
                 0.42351 
                 −0.138 
                 0.0213 
                 0 
               
               
                 S4 
                 −0.8846 
                 −0.0449 
                 0.03929 
                 0.15739 
                 −0.6934 
                 1.31707 
                 −1.3069 
                 0.67995 
                 −0.143 
                 0 
               
               
                 S5 
                 0 
                 −0.0513 
                 −0.0193 
                 −0.016 
                 0.00429 
                 0.00341 
                 −0.0155 
                 0.03192 
                 −0.0128 
                 0 
               
               
                 S6 
                 0 
                 −0.1089 
                 −0.0569 
                 0.35761 
                 −0.9255 
                 1.19468 
                 −0.8604 
                 0.33221 
                 −0.0547 
                 0 
               
               
                 S7 
                 −7.5 
                 −0.2139 
                 −0.0107 
                 0.17878 
                 −0.1827 
                 −0.1159 
                 0.3046 
                 −0.1897 
                 0.04049 
                 0 
               
               
                 S8 
                 −43.341 
                 −0.1402 
                 −0.061 
                 0.2777 
                 −0.4123 
                 0.3523 
                 −0.1857 
                 0.05641 
                 −0.0071 
                 0 
               
               
                 S9 
                 −35.081 
                 −0.0602 
                 0.07357 
                 −0.1046 
                 0.10843 
                 −0.0726 
                 0.02553 
                 −0.0041 
                 0.00022 
                 0 
               
               
                 S10 
                 −1.5734 
                 0.16205 
                 −0.2197 
                 0.18955 
                 −0.107 
                 0.03959 
                 −0.0091 
                 0.00113 
                 −6E−05 
                 0 
               
               
                 S11 
                 0.51533 
                 0.21373 
                 −0.3167 
                 0.23989 
                 −0.1217 
                 0.03837 
                 −0.0069 
                 0.00066 
                 −3E−05 
                 0 
               
               
                 S12 
                 −1.1466 
                 0.19671 
                 −0.2565 
                 0.15417 
                 −0.0532 
                 0.01146 
                 −0.0015 
                 0.00012 
                 −4E−06 
                 0 
               
               
                 S13 
                 −0.9056 
                 −0.0077 
                 −0.2094 
                 0.18829 
                 −0.0749 
                 0.01671 
                 −0.0022 
                 0.00015 
                 −5E−06 
                 0 
               
               
                 S14 
                 −1.2797 
                 −0.2192 
                 0.10065 
                 −0.0338 
                 0.00878 
                 −0.0018 
                 0.00026 
                 −2E−05 
                 1.3E−06 
                 −3E−08 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-sixth example of the optical imaging system includes a first lens  2610 , a second lens  2620 , a third lens  2630 , a fourth lens  2640 , a fifth lens  2650 , a sixth lens  2660 , a seventh lens  2670 , a filter  2680 , an image sensor  2690 , and a stop (not shown) disposed between the second lens  2620  and the third lens  2630 . 
     The first lens  2610  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2620  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2630  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The fourth lens  2640  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The fifth lens  2650  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  2660  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  2670  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  2670 . For example, the object-side surface of the seventh lens  2670  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2670 . For example, the image-side surface of the seventh lens  2670  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  51   , the stop is disposed at a distance of 0.866 mm from the object-side surface of the first lens  2610  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 26 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  51    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 51 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective  
               
               
                 Surface  
                   
                 Radius of  
                 Thickness/ 
                 Index of  
                 Abbe  
                 Aperture  
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.882954913 
                 0.5871918 
                 1.546 
                 56.114 
                 1.050 
               
               
                 S2 
                 Lens 
                 18.07331507 
                 0.0491976 
                   
                   
                 0.962 
               
               
                 S3 
                 Second 
                 4.599463678 
                 0.23 
                 1.667 
                 20.353 
                 0.934 
               
               
                 S4 
                 Lens 
                 2.546377474 
                 0.3929389 
                   
                   
                 0.837 
               
               
                 S5 
                 Third 
                 −21.75460448 
                 0.2744632 
                 1.546 
                 56.114 
                 1.100 
               
               
                 S6 
                 Lens 
                 −13.51443301 
                 0.0611157 
                   
                   
                 1.106 
               
               
                 S7 
                 Fourth 
                 25.33486158 
                 0.2655293 
                 1.546 
                 56.114 
                 1.200 
               
               
                 S8 
                 Lens 
                 25.33602848 
                 0.3710469 
                   
                   
                 1.285 
               
               
                 S9 
                 Fifth 
                 9.468188048 
                 0.3930453 
                 1.656 
                 21.525 
                 1.500 
               
               
                 S10 
                 Lens 
                 5.10288098 
                 0.3790363 
                   
                   
                 1.754 
               
               
                 S11 
                 Sixth 
                 6.416223875 
                 0.888499 
                 1.546 
                 56.114 
                 2.041 
               
               
                 S12 
                 Lens 
                 6.352062001 
                 0.0460253 
                   
                   
                 2.631 
               
               
                 S13 
                 Seventh 
                 1.966539749 
                 0.8854198 
                 1.536 
                 55.656 
                 3.050 
               
               
                 S14 
                 Lens 
                 1.769884599 
                 0.3097825 
                   
                   
                 3.456 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.768 
               
               
                 S16 
                   
                 Infinity 
                 0.65 
                   
                   
                 3.829 
               
               
                 S17 
                 Imaging  
                 Infinity 
                 4.129 
                   
                   
                   
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 52 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.1525 
                 0.00346 
                 0.00541 
                 −0.0238 
                 0.05874 
                 −0.0925 
                 0.08078 
                 −0.0376 
                 0.00687 
                 0 
               
               
                 S2 
                 −36.188 
                 −0.0554 
                 0.19103 
                 −0.4954 
                 0.90918 
                 −1.1194 
                 0.84898 
                 −0.3546 
                 0.06168 
                 0 
               
               
                 S3 
                 −0.1164 
                 −0.0883 
                 0.22642 
                 −0.5273 
                 0.9947 
                 −1.274 
                 1.01042 
                 −0.4343 
                 0.07596 
                 0 
               
               
                 S4 
                 0.3326 
                 −0.0462 
                 0.09702 
                 −0.2316 
                 0.5455 
                 −0.848 
                 0.78539 
                 −0.3759 
                 0.07082 
                 0 
               
               
                 S5 
                 51.7577 
                 −0.0119 
                 −0.0911 
                 0.36173 
                 −0.9067 
                 1.38454 
                 −1.3014 
                 0.68351 
                 −0.1493 
                 0 
               
               
                 S6 
                 42.1637 
                 0.0924 
                 −0.5269 
                 1.35579 
                 −2.2584 
                 2.50931 
                 −1.8107 
                 0.76109 
                 −0.139 
                 0 
               
               
                 S7 
                 −4.7579 
                 0.13357 
                 −0.5938 
                 1.26101 
                 −1.8115 
                 1.7924 
                 −1.1666 
                 0.44267 
                 −0.0728 
                 0 
               
               
                 S8 
                 −3.4393 
                 0.04714 
                 −0.1842 
                 0.28859 
                 −0.3575 
                 0.32734 
                 −0.1971 
                 0.06695 
                 −0.0093 
                 0 
               
               
                 S9 
                 −8.5449 
                 −0.0502 
                 −0.0588 
                 0.15989 
                 −0.2027 
                 0.13981 
                 −0.0542 
                 0.01046 
                 −0.0007 
                 0 
               
               
                 S10 
                 −18.064 
                 −0.044 
                 −0.0734 
                 0.14254 
                 −0.1303 
                 0.06906 
                 −0.0217 
                 0.00378 
                 −0.0003 
                 0 
               
               
                 S11 
                 −4.6497 
                 0.06328 
                 −0.1193 
                 0.08822 
                 −0.0426 
                 0.01348 
                 −0.0028 
                 0.00037 
                 −2E−05 
                 0 
               
               
                 S12 
                 −50 
                 0.03403 
                 −0.0497 
                 0.02457 
                 −0.0072 
                 0.00126 
                 −0.0001 
                 6.9E−06 
                 −2E−07 
                 0 
               
               
                 S13 
                 −2.4291 
                 −0.1201 
                 0.01667 
                 0.00224 
                 −0.0009 
                 0.00011 
                 −6E−06 
                 1.3E−07 
                 8.8E−10 
                 0 
               
               
                 S14 
                 −1.0032 
                 −0.1111 
                 0.02485 
                 −0.0032 
                 −0.0001 
                 0.00013 
                 −2E−05 
                 1.9E−06 
                 −8E−08 
                 1.4E−09 
               
               
                   
               
            
           
         
       
     
     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   . 
     The twenty-seventh example of the optical imaging system includes a first lens  2710 , a second lens  2720 , a third lens  2730 , a fourth lens  2740 , a fifth lens  2750 , a sixth lens  2760 , a seventh lens  2770 , a filter  2780 , an image sensor  2790 , and a stop (not shown) disposed between the second lens  2720  and the third lens  2730 . 
     The first lens  2710  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The second lens  2720  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The third lens  2730  has a positive refractive power, a paraxial region of an object-side surface thereof is concave, and a paraxial region of an image-side surface thereof is convex. 
     The fourth lens  2740  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  2750  has a negative refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The sixth lens  2760  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     The seventh lens  2770  has a positive refractive power, a paraxial region of an object-side surface thereof is convex, and a paraxial region of an image-side surface thereof is concave. 
     Two inflection points are formed on the object-side surface of the seventh lens  2770 . For example, the object-side surface of the seventh lens  2770  is convex in the paraxial region, becomes concave in a region outside the paraxial region, and becomes convex toward an edge thereof. 
     In addition, one inflection point is formed on the image-side surface of the seventh lens  2770 . For example, the image-side surface of the seventh lens  2770  is concave in the paraxial region, and becomes convex toward an edge thereof. 
     Although not illustrated in  FIG.  53   , the stop is disposed at a distance of 0.904 mm from the object-side surface of the first lens  2710  toward the imaging plane of the optical imaging system. This distance is equal to TTL-SL and can be calculated from the values of TTL and SL for Example 27 listed in Table 55 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   . Both surfaces of all of the lenses of  FIG.  53    are aspherical. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 53 
               
               
                   
               
               
                   
                   
                   
                   
                   
                   
                 Effective 
               
               
                 Surface 
                   
                 Radius of 
                 Thickness/ 
                 Index of 
                 Abbe 
                 Aperture 
               
               
                 No. 
                 Element 
                 Curvature 
                 Distance 
                 Refraction 
                 Number 
                 Radius 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 S1 
                 First 
                 1.898698558 
                 0.6486367 
                 1.546 
                 56.114 
                 1.260 
               
               
                 S2 
                 Lens 
                 7.35678597 
                 0.025 
                   
                   
                 1.216 
               
               
                 S3 
                 Second 
                 3.87893073 
                 0.23 
                 1.667 
                 20.353 
                 1.161 
               
               
                 S4 
                 Lens 
                 2.762008891 
                 0.3408168 
                   
                   
                 1.053 
               
               
                 S5 
                 Third 
                 −50.1241934 
                 0.2818618 
                 1.546 
                 56.114 
                 1.120 
               
               
                 S6 
                 Lens 
                 −14.98893663 
                 0.0597334 
                   
                   
                 1.158 
               
               
                 S7 
                 Fourth 
                 12.04981408 
                 0.269789 
                 1.546 
                 56.114 
                 1.220 
               
               
                 S8 
                 Lens 
                 12.56574443 
                 0.2918619 
                   
                   
                 1.320 
               
               
                 S9 
                 Fifth 
                 9.592575983 
                 0.35 
                 1.667 
                 20.353 
                 1.520 
               
               
                 S10 
                 Lens 
                 5.27478585 
                 0.3343756 
                   
                   
                 1.762 
               
               
                 S11 
                 Sixth 
                 6.87350249 
                 0.8484117 
                 1.546 
                 56.114 
                 2.052 
               
               
                 S12 
                 Lens 
                 7.493319886 
                 0.0591105 
                   
                   
                 2.641 
               
               
                 S13 
                 Seventh 
                 2.033708385 
                 0.8835732 
                 1.536 
                 55.656 
                 3.070 
               
               
                 S14 
                 Lens 
                 1.843638917 
                 0.3047846 
                   
                   
                 3.425 
               
               
                 S15 
                 Filter 
                 Infinity 
                 0.21 
                 1.518 
                 64.197 
                 3.764 
               
               
                 S16 
                   
                 Infinity 
                 0.6591161 
                   
                   
                 3.825 
               
               
                 S17 
                 Imaging  
                 Infinity 
                   
                   
                   
                 4.134 
               
               
                   
                 Plane 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 54 
               
               
                   
               
               
                   
                 K 
                 A 
                 B 
                 C 
                 D 
                 E 
                 F 
                 G 
                 H 
                 J 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 S1 
                 −0.1061 
                 −0.0082 
                 0.0469 
                 −0.0925 
                 0.08107 
                 −0.0129 
                 −0.032 
                 0.02237 
                 −0.0047 
                 0 
               
               
                 S2 
                 −36.188 
                 −0.0502 
                 0.16245 
                 −0.4029 
                 0.69307 
                 −0.7643 
                 0.50209 
                 −0.1789 
                 0.02641 
                 0 
               
               
                 S3 
                 0.0036 
                 −0.0795 
                 0.20571 
                 −0.548 
                 1.07416 
                 −1.291 
                 0.90975 
                 −0.3412 
                 0.05201 
                 0 
               
               
                 S4 
                 0.40382 
                 −0.0325 
                 0.08844 
                 −0.3009 
                 0.70037 
                 −0.9194 
                 0.67381 
                 −0.2424 
                 0.03077 
                 0 
               
               
                 S5 
                 51.7577 
                 0.00548 
                 −0.1746 
                 0.50176 
                 −0.9395 
                 1.14417 
                 −0.9144 
                 0.4407 
                 −0.0937 
                 0 
               
               
                 S6 
                 42.1637 
                 0.09529 
                 −0.4992 
                 1.03966 
                 −1.2284 
                 0.81694 
                 −0.2802 
                 0.03842 
                 4E−06 
                 0 
               
               
                 S7 
                 −4.7579 
                 0.1185 
                 −0.4938 
                 0.85535 
                 −0.8643 
                 0.51674 
                 −0.185 
                 0.04168 
                 −0.0054 
                 0 
               
               
                 S8 
                 −3.4393 
                 0.04916 
                 −0.194 
                 0.31472 
                 −0.3773 
                 0.32494 
                 −0.1878 
                 0.06297 
                 −0.0088 
                 0 
               
               
                 S9 
                 −8.5449 
                 −0.0638 
                 0.02895 
                 −0.0884 
                 0.16492 
                 −0.171 
                 0.09832 
                 −0.0306 
                 0.00409 
                 0 
               
               
                 S10 
                 −18.064 
                 −0.0543 
                 −0.0172 
                 0.03209 
                 -0.0179 
                 0.00397 
                 4.6E−06 
                 -0.0001 
                 7.7E−06 
                 0 
               
               
                 S11 
                 −4.6497 
                 0.05354 
                 −0.0909 
                 0.06134 
                 −0.0311 
                 0.01102 
                 −0.0026 
                 0.00036 
                 −2E−05 
                 0 
               
               
                 S12 
                 −50 
                 0.01031 
                 −0.0176 
                 0.00573 
                 −0.0015 
                 0.0003 
                 −4E−05 
                 2.4E−06 
                 −6E−08 
                 0 
               
               
                 S13 
                 −2.606 
                 −0.1177 
                 0.01922 
                 −0.0004 
                 −1E−04 
                 −1E−05 
                 4.5E−06 
                 −4E−07 
                 9.4E−09 
                 0 
               
               
                 S14 
                 −1.0102 
                 −0.0979 
                 0.01866 
                 −0.0024 
                 0.00013 
                 2.1E−05 
                 −6E−06 
                 5.9E−07 
                 −3E−08 
                 5.6E−10 
               
               
                   
               
            
           
         
       
     
     Table 55 below shows an overall focal length f of the optical imaging system, an overall length TTL of the optical imaging system (a distance along the optical axis from the object-side surface of the first lens to the imaging plane), a distance SL along the optical axis 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 1-27 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 55 
               
               
                   
                   
               
               
                   
                 Example 
                 f 
                 TTL 
                 SL 
                 F No. 
                 IMG HT 
                 FOV 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 1 
                 3.685 
                 4.200 
                 3.543 
                 2.04 
                 3.261 
                 81.60 
               
               
                   
                 2 
                 4.848 
                 6.000 
                 5.097 
                 1.54 
                 4.000 
                 77.80 
               
               
                   
                 3 
                 4.315 
                 5.290 
                 4.472 
                 1.56 
                 3.552 
                 77.30 
               
               
                   
                 4 
                 3.970 
                 4.812 
                 3.652 
                 1.59 
                 3.400 
                 79.54 
               
               
                   
                 5 
                 3.950 
                 4.819 
                 3.650 
                 1.58 
                 3.250 
                 77.47 
               
               
                   
                 6 
                 4.350 
                 5.300 
                 4.917 
                 1.58 
                 3.384 
                 79.58 
               
               
                   
                 7 
                 4.300 
                 5.200 
                 4.849 
                 1.58 
                 3.700 
                 80.13 
               
               
                   
                 8 
                 4.020 
                 4.901 
                 4.565 
                 1.58 
                 3.400 
                 79.28 
               
               
                   
                 9 
                 4.280 
                 5.100 
                 4.369 
                 1.71 
                 3.535 
                 77.84 
               
               
                   
                 10 
                 4.423 
                 5.500 
                 4.810 
                 1.73 
                 3.535 
                 76.14 
               
               
                   
                 11 
                 4.381 
                 5.500 
                 4.774 
                 1.65 
                 3.535 
                 76.54 
               
               
                   
                 12 
                 4.401 
                 5.300 
                 4.142 
                 1.69 
                 3.728 
                 79.31 
               
               
                   
                 13 
                 4.536 
                 5.499 
                 4.300 
                 1.69 
                 3.728 
                 77.56 
               
               
                   
                 14 
                 4.544 
                 5.500 
                 4.423 
                 1.67 
                 3.728 
                 77.54 
               
               
                   
                 15 
                 4.751 
                 5.637 
                 4.544 
                 1.64 
                 3.528 
                 72.12 
               
               
                   
                 16 
                 4.105 
                 4.900 
                 3.981 
                 1.87 
                 3.261 
                 75.03 
               
               
                   
                 17 
                 4.447 
                 5.144 
                 4.894 
                 2.07 
                 3.528 
                 75.63 
               
               
                   
                 18 
                 4.700 
                 5.650 
                 4.882 
                 1.81 
                 3.928 
                 78.82 
               
               
                   
                 19 
                 4.400 
                 5.200 
                 4.576 
                 1.81 
                 3.261 
                 72.55 
               
               
                   
                 20 
                 3.994 
                 5.125 
                 4.484 
                 1.57 
                 3.261 
                 77.38 
               
               
                   
                 21 
                 3.900 
                 4.720 
                 3.650 
                 1.77 
                 3.261 
                 78.69 
               
               
                   
                 22 
                 3.750 
                 4.560 
                 3.510 
                 1.68 
                 3.261 
                 80.29 
               
               
                   
                 23 
                 4.451 
                 5.703 
                 4.621 
                 1.63 
                 3.728 
                 78.60 
               
               
                   
                 24 
                 4.592 
                 5.478 
                 4.515 
                 1.79 
                 3.728 
                 76.90 
               
               
                   
                 25 
                 4.302 
                 5.240 
                 4.368 
                 1.95 
                 3.728 
                 80.46 
               
               
                   
                 26 
                 4.966 
                 5.993 
                 5.127 
                 2.36 
                 4.128 
                 78.45 
               
               
                   
                 27 
                 4.667 
                 5.797 
                 4.893 
                 1.85 
                 4.128 
                 81.80 
               
               
                   
                   
               
            
           
         
       
     
     Table 56 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 1-27 described herein. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 56 
               
               
                   
               
               
                 Example 
                 f1 
                 f2 
                 f3 
                 f4 
                 f5 
                 f6 
                 f7 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 3.293 
                 −8.705 
                 14.115 
                 90.636 
                 −15.266 
                 40.265 
                 −15.456 
               
               
                 2 
                 4.699 
                 −11.772 
                 21.070 
                 −38.885 
                 −12.922 
                 2.771 
                 −2.453 
               
               
                 3 
                 4.057 
                 −11.047 
                 44.073 
                 −31.550 
                 −17.744 
                 2.228 
                 −2.041 
               
               
                 4 
                 8.888 
                 4.209 
                 −6.477 
                 16272754.8 
                 517.877 
                 −28.106 
                 1852.192 
               
               
                 5 
                 8.409 
                 4.355 
                 −6.520 
                 −4512.292 
                 74.369 
                 −22.452 
                 1842.731 
               
               
                 6 
                 −64.233 
                 3.248 
                 −7.428 
                 −43.722 
                 52.425 
                 3.010 
                 −2.424 
               
               
                 7 
                 −41.858 
                 3.128 
                 −7.376 
                 −103.801 
                 64.750 
                 2.915 
                 −2.286 
               
               
                 8 
                 −38.662 
                 2.911 
                 −6.813 
                 −43.728 
                 59.023 
                 2.640 
                 −2.116 
               
               
                 9 
                 3.596 
                 −7.349 
                 −1245.238 
                 15.657 
                 −19.723 
                 2.662 
                 −2.171 
               
               
                 10 
                 3.671 
                 −7.598 
                 −10000 
                 13.978 
                 −15.153 
                 2.617 
                 −2.173 
               
               
                 11 
                 3.715 
                 −7.660 
                 −10000 
                 15.301 
                 −16.799 
                 2.406 
                 −2.034 
               
               
                 12 
                 9.952 
                 4.985 
                 −9.042 
                 −60.959 
                 28.461 
                 −19.130 
                 −36.205 
               
               
                 13 
                 9.489 
                 5.133 
                 −8.027 
                 113.261 
                 53.479 
                 −17.195 
                 −112.366 
               
               
                 14 
                 13.419 
                 5.627 
                 −8.921 
                 16.142 
                 −36.758 
                 29.873 
                 −12.281 
               
               
                 15 
                 4.273 
                 −8.936 
                 14.514 
                 30.320 
                 −17.493 
                 61.723 
                 −10.997 
               
               
                 16 
                 3.663 
                 −6.575 
                 13.173 
                 72.886 
                 −140.959 
                 42.434 
                 −9.509 
               
               
                 17 
                 3.626 
                 −6.978 
                 10.551 
                 125.381 
                 −28.155 
                 −367.720 
                 −9.031 
               
               
                 18 
                 4.553 
                 −11.109 
                 33.932 
                 36.853 
                 268.352 
                 4.100 
                 −2.623 
               
               
                 19 
                 4.290 
                 −10.606 
                 30.978 
                 14.871 
                 −21.133 
                 3.784 
                 −2.465 
               
               
                 20 
                 5.677 
                 −73.551 
                 −122.716 
                 15.510 
                 207.375 
                 3.799 
                 −2.466 
               
               
                 21 
                 3.720 
                 −9.340 
                 −800 
                 14.620 
                 −100 
                 −674 
                 −18.040 
               
               
                 22 
                 3.740 
                 −9.750 
                 −800 
                 14.290 
                 −99.5 
                 −800 
                 −19.010 
               
               
                 23 
                 18.149 
                 4.970 
                 −8.433 
                 25.591 
                 −19.167 
                 25.748 
                 69.101 
               
               
                 24 
                 3.971 
                 −11.857 
                 −77.132 
                 19.846 
                 −30.042 
                 −18.041 
                 68.790 
               
               
                 25 
                 3.620 
                 −10.428 
                 39.821 
                 −38.762 
                 4.342 
                 10.303 
                 −2.323 
               
               
                 26 
                 3.802 
                 −8.955 
                 64.595 
                 12384.769 
                 −17.503 
                 299.093 
                 57.797 
               
               
                 27 
                 4.499 
                 −15.674 
                 39.058 
                 453.779 
                 −18.160 
                 102.612 
                 59.134 
               
               
                   
               
            
           
         
       
     
     Table 57 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 1-27 described herein. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 57 
               
               
                   
               
               
                 Example 
                 L1edgeT 
                 L2edgeT 
                 L3edgeT 
                 L4edgeT 
                 L5edgeT 
                 L6edgeT 
                 L7edgeT 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 0.202 
                 0.208 
                 0.199 
                 0.197 
                 0.238 
                 0.204 
                 0.351 
               
               
                 2 
                 0.253 
                 0.354 
                 0.255 
                 0.348 
                 0.284 
                 0.256 
                 0.831 
               
               
                 3 
                 0.226 
                 0.305 
                 0.232 
                 0.280 
                 0.261 
                 0.225 
                 0.618 
               
               
                 4 
                 0.232 
                 0.262 
                 0.334 
                 0.193 
                 0.270 
                 0.288 
                 0.298 
               
               
                 5 
                 0.233 
                 0.259 
                 0.333 
                 0.203 
                 0.272 
                 0.330 
                 0.376 
               
               
                 6 
                 0.220 
                 0.270 
                 0.348 
                 0.224 
                 0.259 
                 0.269 
                 0.437 
               
               
                 7 
                 0.200 
                 0.268 
                 0.356 
                 0.220 
                 0.240 
                 0.240 
                 0.353 
               
               
                 8 
                 0.194 
                 0.250 
                 0.328 
                 0.211 
                 0.239 
                 0.222 
                 0.388 
               
               
                 9 
                 0.222 
                 0.377 
                 0.235 
                 0.240 
                 0.189 
                 0.260 
                 0.323 
               
               
                 10 
                 0.181 
                 0.365 
                 0.201 
                 0.239 
                 0.393 
                 0.361 
                 0.817 
               
               
                 11 
                 0.179 
                 0.345 
                 0.206 
                 0.257 
                 0.415 
                 0.262 
                 0.950 
               
               
                 12 
                 0.257 
                 0.255 
                 0.340 
                 0.276 
                 0.365 
                 0.307 
                 0.278 
               
               
                 13 
                 0.280 
                 0.247 
                 0.375 
                 0.321 
                 0.375 
                 0.279 
                 0.517 
               
               
                 14 
                 0.250 
                 0.250 
                 0.440 
                 0.270 
                 0.318 
                 0.652 
                 0.294 
               
               
                 15 
                 0.223 
                 0.354 
                 0.233 
                 0.210 
                 0.386 
                 0.654 
                 0.695 
               
               
                 16 
                 0.225 
                 0.368 
                 0.245 
                 0.232 
                 0.200 
                 0.615 
                 0.447 
               
               
                 17 
                 0.269 
                 0.308 
                 0.190 
                 0.230 
                 0.410 
                 0.714 
                 0.300 
               
               
                 18 
                 0.323 
                 0.418 
                 0.258 
                 0.328 
                 0.292 
                 0.401 
                 0.493 
               
               
                 19 
                 0.205 
                 0.407 
                 0.201 
                 0.333 
                 0.278 
                 0.348 
                 0.815 
               
               
                 20 
                 0.218 
                 0.347 
                 0.211 
                 0.259 
                 0.277 
                 0.251 
                 0.950 
               
               
                 21 
                 0.100 
                 0.280 
                 0.100 
                 0.410 
                 0.170 
                 0.410 
                 0.580 
               
               
                 22 
                 0.110 
                 0.290 
                 0.100 
                 0.330 
                 0.140 
                 0.420 
                 0.620 
               
               
                 23 
                 0.248 
                 0.303 
                 0.393 
                 0.456 
                 0.352 
                 0.835 
                 0.513 
               
               
                 24 
                 0.250 
                 0.275 
                 0.277 
                 0.250 
                 0.337 
                 0.479 
                 0.782 
               
               
                 25 
                 0.252 
                 0.293 
                 0.238 
                 0.374 
                 0.258 
                 0.415 
                 0.686 
               
               
                 26 
                 0.293 
                 0.298 
                 0.252 
                 0.251 
                 0.409 
                 0.715 
                 0.678 
               
               
                 27 
                 0.246 
                 0.280 
                 0.254 
                 0.273 
                 0.356 
                 0.630 
                 0.692 
               
               
                   
               
            
           
         
       
     
     Table 58 below shows in mm a sag value (L5S1 sag) at an outer end of the optical portion of the object-side surface of the fifth lens, a sag value (L5S2 sag) at an outer end of the optical portion 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, and a thickness (Yc72P1) of the seventh lens at a first inflection point on the image-side surface of the seventh lens for each of 1-27 described herein. 
     
       
         
           
               
               
               
               
               
               
             
               
                 TABLE 58 
               
               
                   
               
               
                 Example 
                 L5S1 sag 
                 L5S2 sag 
                 Yc71P1 
                 Yc71P2 
                 Yc72P1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 1 
                 −0.405 
                 −0.345 
                 0.528 
                 0.455 
                 0.629 
               
               
                 2 
                 −0.464 
                 −0.496 
                 1.31 
                 — 
                 0.99 
               
               
                 3 
                 −0.315 
                 −0.357 
                 1.089 
                 — 
                 0.901 
               
               
                 4 
                 0.201 
                 0.235 
                 0.554 
                 0.655 
                 0.9 
               
               
                 5 
                 0.200 
                 0.202 
                 0.568 
                 0.67 
                 0.667 
               
               
                 6 
                 0.115 
                 0.139 
                 0.93 
                 — 
                 0.811 
               
               
                 7 
                 0.148 
                 0.172 
                 0.88 
                 — 
                 0.795 
               
               
                 8 
                 0.123 
                 0.129 
                 0.859 
                 — 
                 0.769 
               
               
                 9 
                 −0.466 
                 −0.526 
                 2.933 
                 — 
                 4.142 
               
               
                 10 
                 −0.421 
                 −0.473 
                 3.25 
                 — 
                 4.55 
               
               
                 11 
                 −0.422 
                 −0.453 
                 3.319 
                 — 
                 4.481 
               
               
                 12 
                 0.210 
                 0.245 
                 0.569 
                 0.641 
                 0.67 
               
               
                 13 
                 0.210 
                 0.185 
                 0.647 
                 0.751 
                 0.771 
               
               
                 14 
                 0.185 
                 0.267 
                 0.527 
                 0.485 
                 0.647 
               
               
                 15 
                 −0.415 
                 −0.431 
                 0.604 
                 0.886 
                 0.818 
               
               
                 16 
                 −0.340 
                 −0.437 
                 0.658 
                 0.747 
                 0.81 
               
               
                 17 
                 −0.261 
                 −0.263 
                 0.473 
                 — 
                 0.631 
               
               
                 18 
                 −0.499 
                 −0.478 
                 0.806 
                 — 
                 0.771 
               
               
                 19 
                 −0.485 
                 −0.407 
                 0.89 
                 — 
                 0.92 
               
               
                 20 
                 −0.479 
                 −0.422 
                 — 
                 — 
                 0.781 
               
               
                 21 
                 −0.440 
                 −0.430 
                 0.72 
                 — 
                 0.12 
               
               
                 22 
                 −0.380 
                 −0.430 
                 0.72 
                 — 
                 0.12 
               
               
                 23 
                 0.210 
                 0.372 
                 0.61 
                 0.706 
                 0.722 
               
               
                 24 
                 0.270 
                 0.286 
                 0.889 
                 — 
                 1.015 
               
               
                 25 
                 0.276 
                 0.509 
                 — 
                 — 
                 0.968 
               
               
                 26 
                 0.092 
                 0.103 
                 0.955 
                 1.103 
                 1.128 
               
               
                 27 
                 0.179 
                 0.173 
                 0.964 
                 1.114 
                 1.13 
               
               
                   
               
            
           
         
       
     
     Table 59 below shows in mm an inner diameter of each of the first to seventh spacers for each of 1-27 described herein. S1d is an inner diameter of the first spacer SP 1 , S2d is an inner diameter of the second spacer SP 2 , S3d is an inner diameter of the third spacer SP 3 , S4d is an inner diameter of the fourth spacer SP 4 , S5d is an inner diameter of the fifth spacer SP 5 , S6d is an inner diameter of the sixth spacer SP 6 , and S7d is an inner diameter of the seventh spacer SP 7 . 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 59 
               
               
                   
               
               
                 Example 
                 S1d 
                 S2d 
                 S3d 
                 S4d 
                 S5d 
                 S6d 
                 S7d 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 1.69 
                 1.51 
                 1.64 
                 2.09 
                 2.95 
                 4.49 
                 — 
               
               
                 2 
                 2.84 
                 2.53 
                 2.83 
                 3.29 
                 4.34 
                 6.31 
                 — 
               
               
                 3 
                 2.52 
                 2.2 
                 2.47 
                 2.93 
                 3.64 
                 5.33 
                 — 
               
               
                 4 
                 1.33 
                 1.26 
                 0.96 
                 1.44 
                 1.94 
                 2.6 
                 — 
               
               
                 5 
                 1.24 
                 1.15 
                 1.03 
                 1.48 
                 1.9 
                 2.46 
                 — 
               
               
                 6 
                 1.34 
                 1.23 
                 1.03 
                 1.5 
                 1.98 
                 2.66 
                 — 
               
               
                 7 
                 1.33 
                 1.23 
                 1.04 
                 1.58 
                 2.1 
                 2.75 
                 — 
               
               
                 8 
                 1.25 
                 1.14 
                 0.94 
                 1.5 
                 1.86 
                 2.44 
                 — 
               
               
                 9 
                 2.31 
                 2.16 
                 2.54 
                 2.94 
                 4.06 
                 4.84 
                 5.12 
               
               
                 10 
                 2.48 
                 2.26 
                 2.56 
                 2.84 
                 3.76 
                 4.78 
                 5.2 
               
               
                 11 
                 2.48 
                 2.23 
                 2.56 
                 2.86 
                 3.69 
                 4.58 
                 5.07 
               
               
                 12 
                 2.58 
                 2.4 
                 2.49 
                 2.97 
                 4.16 
                 4.89 
                 5.51 
               
               
                 13 
                 2.55 
                 2.4 
                 2.49 
                 2.97 
                 4.02 
                 4.89 
                 5.63 
               
               
                 14 
                 2.65 
                 2.46 
                 2.39 
                 2.9 
                 3.8 
                 5.15 
                 — 
               
               
                 15 
                 2.706 
                 2.468 
                 2.446 
                 2.616 
                 3.308 
                 5.582 
                 — 
               
               
                 16 
                 2.176 
                 2.058 
                 2.122 
                 2.39 
                 2.808 
                 4.792 
                 — 
               
               
                 17 
                 2.12 
                 2.1 
                 2.04 
                 2.12 
                 2.81 
                 4.64 
                 — 
               
               
                 18 
                 2.43 
                 2.48 
                 2.89 
                 3.38 
                 4.57 
                 6.18 
                 — 
               
               
                 19 
                 2.32 
                 2.36 
                 2.56 
                 2.93 
                 3.7 
                 4.35 
                 — 
               
               
                 20 
                 2.41 
                 2.3 
                 2.66 
                 3.03 
                 3.76 
                 — 
                 — 
               
               
                 21 
                 2.06 
                 1.784 
                 2.136 
                 2.632 
                 2.956 
                 4.366 
                 — 
               
               
                 22 
                 2.076 
                 1.784 
                 2.078 
                 2.59 
                 2.85 
                 4.128 
                 — 
               
               
                 23 
                 2.68 
                 2.51 
                 2.54 
                 3 
                 3.96 
                 5.28 
                 — 
               
               
                 24 
                 2.39 
                 2.09 
                 2.24 
                 2.65 
                 3.62 
                 4.78 
                 5.08 
               
               
                 25 
                 2.06 
                 1.89 
                 2.15 
                 2.7 
                 3.61 
                 4.56 
                 4.84 
               
               
                 26 
                 1.89 
                 1.84 
                 2.33 
                 2.73 
                 3.73 
                 5.43 
                 6.03 
               
               
                 27 
                 2.39 
                 2.15 
                 2.4 
                 2.82 
                 3.94 
                 5.68 
                 6.02 
               
               
                   
               
            
           
         
       
     
     Table 60 below shows in mm 3  a volume of each of the first to seventh lenses for each of 1-27 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 60 
               
               
                   
               
               
                 Example 
                 L1v 
                 L2v 
                 L3v 
                 L4v 
                 L5v 
                 L6v 
                 L7v 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 2.2524 
                 2.0618 
                 2.2767 
                 2.9806 
                 5.367 
                 7.9203 
                 15.204 
               
               
                 2 
                 9.4074 
                 6.0389 
                 7.8806 
                 9.9733 
                 14.2491 
                 18.7217 
                 48.3733 
               
               
                 3 
                 6.1771 
                 4.5153 
                 5.2418 
                 5.8649 
                 8.7918 
                 11.0804 
                 30.7452 
               
               
                 4 
                 4.9183 
                 5.6902 
                 6.3612 
                 5.0504 
                 8.147 
                 10.2679 
                 16.4786 
               
               
                 5 
                 6.3442 
                 6.9494 
                 7.7597 
                 6.2076 
                 6.8959 
                 10.3364 
                 16.5597 
               
               
                 6 
                 5.7249 
                 8.0179 
                 8.3774 
                 7.9589 
                 10.3434 
                 11.1031 
                 27.1511 
               
               
                 7 
                 7.0609 
                 8.2183 
                 8.3812 
                 8.577 
                 10.4368 
                 10.0819 
                 25.7323 
               
               
                 8 
                 5.0799 
                 5.7347 
                 5.8704 
                 6.465 
                 6.7471 
                 7.523 
                 21.0455 
               
               
                 9 
                 5.2342 
                 5.0595 
                 5.1455 
                 4.1402 
                 5.9856 
                 8.1378 
                 19.6812 
               
               
                 10 
                 4.6012 
                 5.0554 
                 4.4232 
                 3.7935 
                 9.9974 
                 13.3429 
                 31.7191 
               
               
                 11 
                 4.8917 
                 4.777 
                 4.399 
                 3.8155 
                 10.2897 
                 11.3167 
                 33.3467 
               
               
                 12 
                 5.639 
                 4.858 
                 6.6748 
                 7.1627 
                 11.0369 
                 11.9357 
                 27.1217 
               
               
                 13 
                 5.8304 
                 4.8865 
                 6.5128 
                 7.1688 
                 10.887 
                 16.2551 
                 26.8011 
               
               
                 14 
                 5.165 
                 5.3015 
                 6.2461 
                 7.0472 
                 12.2503 
                 19.1335 
                 17.9152 
               
               
                 15 
                 6.5129 
                 6.0017 
                 5.9544 
                 6.0281 
                 13.8948 
                 30.2962 
                 31.1147 
               
               
                 16 
                 3.8214 
                 4.3362 
                 4.4869 
                 5.6551 
                 6.8114 
                 19.8745 
                 20.3749 
               
               
                 17 
                 3.8115 
                 4.6714 
                 4.0552 
                 5.0631 
                 11.2844 
                 25.7618 
                 16.5646 
               
               
                 18 
                 6.2758 
                 6.5315 
                 7.7526 
                 9.5642 
                 12.5716 
                 16.0772 
                 29.9737 
               
               
                 19 
                 4.2347 
                 5.5368 
                 5.5931 
                 7.5471 
                 9.4202 
                 8.9992 
                 27.3258 
               
               
                 20 
                 4.6529 
                 4.6572 
                 6.2312 
                 6.7131 
                 10.2673 
                 11.7401 
                 33.5372 
               
               
                 21 
                 2.7732 
                 3.7423 
                 2.4001 
                 9.3009 
                 4.1785 
                 16.1001 
                 22.2706 
               
               
                 22 
                 2.9525 
                 3.7672 
                 1.9989 
                 7.5203 
                 3.1364 
                 16.7166 
                 21.7591 
               
               
                 23 
                 5.1107 
                 5.8654 
                 6.3124 
                 10.0933 
                 12.273 
                 29.3788 
                 26.3671 
               
               
                 24 
                 5.1465 
                 4.5089 
                 4.4695 
                 4.8122 
                 8.9386 
                 18.2117 
                 35.9358 
               
               
                 25 
                 3.81 
                 3.9751 
                 3.9272 
                 6.1885 
                 7.516 
                 13.0347 
                 31.8586 
               
               
                 26 
                 4.7517 
                 4.3655 
                 6.4562 
                 5.0723 
                 9.8674 
                 36.8705 
                 47.4701 
               
               
                 27 
                 5.6273 
                 4.949 
                 5.1423 
                 5.0791 
                 9.3624 
                 31.5832 
                 47.9081 
               
               
                   
               
            
           
         
       
     
     Table 61 below shows in mg a weight of each of the first to seventh lenses for each of 1-27 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 61 
               
               
                   
               
               
                 Example 
                 L1w 
                 L2w 
                 L3w 
                 L4w 
                 L5w 
                 L6w 
                 L7w 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 2.342 
                 2.536 
                 2.368 
                 3.100 
                 6.709 
                 9.900 
                 15.356 
               
               
                 2 
                 9.784 
                 7.428 
                 8.196 
                 12.267 
                 17.811 
                 19.471 
                 50.308 
               
               
                 3 
                 6.424 
                 5.554 
                 5.451 
                 7.214 
                 10.990 
                 11.524 
                 31.975 
               
               
                 4 
                 5.115 
                 5.918 
                 7.952 
                 6.313 
                 8.473 
                 12.835 
                 16.643 
               
               
                 5 
                 6.598 
                 7.227 
                 9.700 
                 7.760 
                 7.172 
                 12.921 
                 16.725 
               
               
                 6 
                 5.954 
                 8.339 
                 10.472 
                 9.710 
                 12.619 
                 11.547 
                 28.237 
               
               
                 7 
                 7.343 
                 8.547 
                 10.477 
                 10.464 
                 12.733 
                 10.485 
                 26.762 
               
               
                 8 
                 5.283 
                 5.964 
                 7.338 
                 7.887 
                 8.231 
                 7.824 
                 21.887 
               
               
                 9 
                 5.444 
                 6.223 
                 5.351 
                 4.306 
                 7.362 
                 8.463 
                 20.468 
               
               
                 10 
                 4.785 
                 6.218 
                 4.600 
                 3.945 
                 12.297 
                 13.877 
                 32.988 
               
               
                 11 
                 5.087 
                 5.876 
                 4.575 
                 3.968 
                 12.656 
                 11.769 
                 34.681 
               
               
                 12 
                 5.865 
                 5.052 
                 8.344 
                 8.953 
                 11.478 
                 14.920 
                 27.393 
               
               
                 13 
                 6.064 
                 5.082 
                 8.141 
                 7.456 
                 11.322 
                 20.319 
                 27.873 
               
               
                 14 
                 5.372 
                 5.514 
                 7.808 
                 7.329 
                 15.313 
                 19.899 
                 18.632 
               
               
                 15 
                 6.773 
                 7.382 
                 7.324 
                 6.269 
                 17.230 
                 37.567 
                 31.426 
               
               
                 16 
                 3.974 
                 5.334 
                 5.519 
                 5.881 
                 8.446 
                 24.644 
                 20.579 
               
               
                 17 
                 3.964 
                 5.746 
                 4.217 
                 5.266 
                 14.106 
                 26.792 
                 17.227 
               
               
                 18 
                 6.527 
                 8.034 
                 8.063 
                 9.947 
                 15.463 
                 16.720 
                 31.173 
               
               
                 19 
                 4.404 
                 6.810 
                 5.817 
                 7.849 
                 11.587 
                 9.359 
                 28.419 
               
               
                 20 
                 4.839 
                 5.728 
                 6.480 
                 6.982 
                 12.629 
                 12.210 
                 34.879 
               
               
                 21 
                 2.884 
                 4.603 
                 2.952 
                 9.673 
                 5.223 
                 20.125 
                 22.493 
               
               
                 22 
                 3.071 
                 4.634 
                 2.459 
                 7.821 
                 3.921 
                 20.896 
                 21.977 
               
               
                 23 
                 5.315 
                 6.100 
                 7.891 
                 10.497 
                 12.764 
                 30.554 
                 27.422 
               
               
                 24 
                 5.352 
                 5.546 
                 5.497 
                 5.005 
                 11.173 
                 22.765 
                 36.295 
               
               
                 25 
                 3.962 
                 4.889 
                 4.084 
                 7.612 
                 7.817 
                 13.556 
                 33.133 
               
               
                 26 
                 4.942 
                 5.370 
                 6.714 
                 5.275 
                 12.334 
                 38.345 
                 47.945 
               
               
                 27 
                 5.852 
                 6.087 
                 5.348 
                 5.282 
                 11.516 
                 32.847 
                 48.387 
               
               
                   
               
            
           
         
       
     
     Table 62 below shows in mm an overall outer diameter (including a rib) of each of the first to seventh lenses for each of 1-27 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, LSTR 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 62 
               
               
                   
               
               
                 Example 
                 L1TR 
                 L2TR 
                 L3TR 
                 L4TR 
                 L5TR 
                 L7TR 
                 L6TR 
                 L7TR 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 1 
                 3.34 
                 3.54 
                 3.84 
                 4.14 
                 4.82 
                 5.92 
                 5.72 
                 5.92 
               
               
                 2 
                 4.93 
                 5.13 
                 5.63 
                 6.23 
                 7.2 
                 7.8 
                 7.6 
                 7.8 
               
               
                 3 
                 4.22 
                 4.42 
                 4.72 
                 5.52 
                 6.24 
                 6.84 
                 6.64 
                 6.84 
               
               
                 4 
                 3.13 
                 3 
                 2.75 
                 2.49 
                 2.37 
                 2.15 
                 2.23 
                 2.15 
               
               
                 5 
                 2.29 
                 2.4 
                 2.54 
                 2.63 
                 2.78 
                 3.04 
                 2.91 
                 3.04 
               
               
                 6 
                 2.46 
                 2.58 
                 2.69 
                 2.8 
                 3.17 
                 3.47 
                 3.31 
                 3.47 
               
               
                 7 
                 2.48 
                 2.61 
                 2.72 
                 2.82 
                 3.19 
                 3.5 
                 3.34 
                 3.5 
               
               
                 8 
                 2.19 
                 2.32 
                 2.44 
                 2.57 
                 2.74 
                 3.11 
                 3 
                 3.11 
               
               
                 9 
                 4.22 
                 4.42 
                 4.54 
                 4.72 
                 5.4 
                 6.3 
                 5.74 
                 6.3 
               
               
                 10 
                 4.2 
                 4.35 
                 4.49 
                 4.65 
                 5.5 
                 6.63 
                 5.84 
                 6.63 
               
               
                 11 
                 4.14 
                 4.28 
                 4.42 
                 4.58 
                 5.45 
                 6.58 
                 5.79 
                 6.58 
               
               
                 12 
                 4.21 
                 4.3 
                 4.44 
                 4.84 
                 5.47 
                 6.9 
                 6.12 
                 6.9 
               
               
                 13 
                 4.21 
                 4.3 
                 4.44 
                 4.84 
                 5.47 
                 6.9 
                 6.12 
                 6.9 
               
               
                 14 
                 4.19 
                 4.28 
                 4.41 
                 4.81 
                 5.51 
                 6.52 
                 6.16 
                 6.52 
               
               
                 15 
                 4.502 
                 4.69 
                 5.164 
                 5.752 
                 6.608 
                 7.182 
                 6.996 
                 7.182 
               
               
                 16 
                 3.836 
                 3.974 
                 4.536 
                 5.176 
                 6.33 
                 6.558 
                 6.458 
                 6.558 
               
               
                 17 
                 3.51 
                 3.81 
                 4.39 
                 4.98 
                 5.85 
                 6.25 
                 6.15 
                 6.25 
               
               
                 18 
                 4.27 
                 4.46 
                 5.04 
                 5.63 
                 6.5 
                 7.1 
                 6.9 
                 7.1 
               
               
                 19 
                 3.93 
                 4.13 
                 4.71 
                 6.17 
                 5.3 
                 6.67 
                 6.57 
                 6.67 
               
               
                 20 
                 4.03 
                 4.23 
                 4.81 
                 5.4 
                 6.27 
                 6.77 
                 6.67 
                 6.77 
               
               
                 21 
                 3.802 
                 4.012 
                 4.126 
                 4.902 
                 5.646 
                 6.422 
                 6.086 
                 6.422 
               
               
                 22 
                 3.8 
                 3.99 
                 4.068 
                 4.816 
                 5.514 
                 6.246 
                 5.92 
                 6.246 
               
               
                 23 
                 4.26 
                 4.35 
                 4.49 
                 4.89 
                 5.52 
                 7.26 
                 6.75 
                 7.26 
               
               
                 24 
                 4.1 
                 4.19 
                 4.32 
                 4.72 
                 5.35 
                 7.03 
                 6.17 
                 7.03 
               
               
                 25 
                 3.73 
                 3.82 
                 3.96 
                 4.39 
                 4.96 
                 6.86 
                 6 
                 6.86 
               
               
                 26 
                 3.97 
                 4.06 
                 4.19 
                 4.63 
                 5.2 
                 8.02 
                 7.15 
                 8.02 
               
               
                 27 
                 4.39 
                 4.48 
                 4.61 
                 5.04 
                 5.61 
                 7.95 
                 7.09 
                 7.95 
               
               
                   
               
            
           
         
       
     
     Table 63 below shows in mm a maximum thickness of the rib of each of the first to seventh lenses for each of 1-27 described herein. The maximum thickness of the rib is a thickness of a portion of the rib in contact with a spacer. L1rt is a maximum thickness of the rib of the first lens, L2rt is a maximum thickness of the rib of the second lens, L3rt is a maximum thickness of the rib of the third lens, L4rt is a maximum thickness of the rib of the fourth lens, L5rt is a maximum thickness of the rib of the fifth lens, L6rt is a maximum thickness of the rib of the sixth lens, and L7rt is a maximum thickness of the rib of the seventh lens. 
     
       
         
           
               
               
               
               
               
               
               
               
             
               
                 TABLE 63 
               
               
                   
               
               
                 Example 
                 L1rt 
                 L2rt 
                 L3rt 
                 L4rt 
                 L5rt 
                 L6rt 
                 L7rt 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 1 
                 0.245 
                 0.26 
                 0.25 
                 0.235 
                 0.285 
                 0.265 
                 0.44 
               
               
                 2 
                 0.58 
                 0.38 
                 0.33 
                 0.3 
                 0.39 
                 0.475 
                 0.92 
               
               
                 3 
                 0.485 
                 0.375 
                 0.31 
                 0.21 
                 0.295 
                 0.335 
                 0.685 
               
               
                 4 
                 0.51 
                 0.46 
                 0.48 
                 0.27 
                 0.4 
                 0.32 
                 0.36 
               
               
                 5 
                 0.54 
                 0.5 
                 0.52 
                 0.42 
                 0.21 
                 0.39 
                 0.4 
               
               
                 6 
                 0.39 
                 0.44 
                 0.47 
                 0.36 
                 0.42 
                 0.38 
                 0.47 
               
               
                 7 
                 0.59 
                 0.44 
                 0.47 
                 0.35 
                 0.38 
                 0.3 
                 0.39 
               
               
                 8 
                 0.54 
                 0.37 
                 0.41 
                 0.33 
                 0.37 
                 0.27 
                 0.42 
               
               
                 9 
                 0.435 
                 0.43 
                 0.36 
                 0.215 
                 0.32 
                 0.33 
                 0.405 
               
               
                 10 
                 0.38 
                 0.46 
                 0.35 
                 0.18 
                 0.51 
                 0.47 
                 0.85 
               
               
                 11 
                 0.41 
                 0.45 
                 0.34 
                 0.18 
                 0.45 
                 0.37 
                 1.01 
               
               
                 12 
                 0.55 
                 0.38 
                 0.58 
                 0.41 
                 0.5 
                 0.32 
                 0.53 
               
               
                 13 
                 0.56 
                 0.38 
                 0.56 
                 0.41 
                 0.5 
                 0.32 
                 0.54 
               
               
                 14 
                 0.52 
                 0.42 
                 0.52 
                 0.41 
                 0.61 
                 0.7 
                 0.37 
               
               
                 15 
                 0.482 
                 0.492 
                 0.369 
                 0.196 
                 0.427 
                 0.615 
                 0.737 
               
               
                 16 
                 0.422 
                 0.482 
                 0.258 
                 0.282 
                 0.269 
                 0.558 
                 0.489 
               
               
                 17 
                 0.482 
                 0.395 
                 0.316 
                 0.328 
                 0.422 
                 0.885 
                 0.409 
               
               
                 18 
                 0.508 
                 0.554 
                 0.444 
                 0.473 
                 0.41 
                 0.438 
                 0.522 
               
               
                 19 
                 0.431 
                 0.556 
                 0.361 
                 0.429 
                 0.38 
                 0.38 
                 0.667 
               
               
                 20 
                 0.431 
                 0.457 
                 0.361 
                 0.364 
                 0.38 
                 0.334 
                 0.729 
               
               
                 21 
                 0.35 
                 0.423 
                 0.276 
                 0.46 
                 0.172 
                 0.525 
                 0.641 
               
               
                 22 
                 0.366 
                 0.392 
                 0.239 
                 0.383 
                 0.137 
                 0.605 
                 0.655 
               
               
                 23 
                 0.5 
                 0.41 
                 0.51 
                 0.54 
                 0.52 
                 0.97 
                 0.55 
               
               
                 24 
                 0.46 
                 0.4 
                 0.39 
                 0.26 
                 0.43 
                 0.54 
                 0.83 
               
               
                 25 
                 0.4 
                 0.42 
                 0.37 
                 0.5 
                 0.32 
                 0.46 
                 0.72 
               
               
                 26 
                 0.47 
                 0.41 
                 0.45 
                 0.41 
                 0.47 
                 0.93 
                 0.7 
               
               
                 27 
                 0.44 
                 0.39 
                 0.4 
                 0.4 
                 0.38 
                 0.74 
                 0.72 
               
               
                   
               
            
           
         
       
     
       FIG.  58    is a cross-sectional view illustrating an example of a seventh lens. 
       FIG.  58    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. 
     The examples described above enable the optical imaging system to be miniaturized and aberrations to be easily corrected to achieve high resolution. 
     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.