Patent Publication Number: US-11656445-B2

Title: Telephoto optical imaging system and zoom camera apparatus

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application claims benefit of priority to Chinese Patent Application No. 201911416683.8 filed on Dec. 31, 2019 before the China National Intellectual Property Administration, the entire disclosure of which is incorporated herein by reference in its entity. 
     TECHNICAL FIELD 
     The present disclosure relates to the field of optical elements, and more specifically, relates to a telephoto optical imaging system and a zoom camera apparatus. 
     BACKGROUND 
     Currently, the requirements for imaging functions of portable electronic devices are becoming higher and higher, and the camera apparatuses of mobile phones are developing in the aspects of high resolution, large field-of-view, light weight and versatility. That requires the optical imaging system in the camera apparatus has multiple characteristics such as large aperture, long focal length, wide field-of-view, compact structure, high image quality and low distortion. On the other hand, since the portable electronic device is expected to have a smaller size, the size of the optical imaging system provided on the electronic device is also limited. 
     In order to meet these high requirements, on the one hand, the optical imaging system of mobile phone camera apparatuses is becoming more and more complex, from the initial imaging system with four or five lenses to the current imaging system with seven or eight lenses. The increase in the number of lenses in the optical imaging system makes the optimization in the early stage and the manufacturing in the later stage more complicated and difficult. On the other hand, the mobile phone industry tends to employ multiple sets of optical imaging systems for multi-shots. Multiple sets of optical imaging systems highlight different optical characteristics, which usually include a telephoto optical imaging system with a relatively long focal length. Due to the limitation of the thickness of the mobile phone, the optical characteristics of the telephoto optical imaging system are limited, which limits the imaging effects of the mobile phone, such as background blur and object magnification. 
     Therefore, how to achieve an optical imaging system with good optical characteristics and capable of meeting the requirements of miniaturization is a problem to be solved urgently. In order to meet the requirements of miniaturization and imaging requirements, an optical imaging system that can simultaneously satisfy the characteristics of miniaturization, compact structure, ultra-long focal length and high image quality is required. 
     SUMMARY 
     In one aspect, the present disclosure provides a telephoto optical imaging system which includes, sequentially from an object side to an image side along an optical axis, a first lens having positive refractive power, a second lens having negative refractive power, an optical path turning prism, and a triangular prism. An incident surface of the optical path turning prism is perpendicular to an axis of the second lens, and an exit surface of the optical path turning prism is perpendicular to the incident surface of the optical path turning prism. An imaging light incident to the optical path turning prism along the optical axis is reflected sequentially at a first optical path turning surface of the optical path turning prism and a second optical path turning surface of the optical path turning prism and emitted perpendicularly from the exit surface of the optical path turning prism. The light perpendicularly emitted from the exit surface of the optical path turning prism is reflected at a reflecting surface of the triangular prism and deflected by 90° with a deflection direction toward the image side. At least one of an object-side surface of the first lens to an image-side surface of the second lens is aspheric. In one embodiment, a total effective focal length F1 of the telephoto optical imaging system may satisfy F1&gt;40 mm. 
     In one embodiment, an equivalent distance TL in the air for a path distance of a light traveling along the optical axis from the object-side surface of the first lens to an imaging plane of the telephoto optical imaging system, and a distance T from the object-side surface of the first lens to the imaging plane of the telephoto optical imaging system in a normal direction of the imaging plane of the telephoto optical imaging system may satisfy 3.0&lt;TL/T&lt;4.0. 
     In one embodiment, a distance T from the object-side surface of the first lens to an imaging plane of the telephoto optical imaging system in a normal direction of the imaging plane of the telephoto optical imaging system and the total effective focal length F1 of the telephoto optical imaging system may satisfy T/F1&lt;0.6. 
     In one embodiment, the telephoto optical imaging system has a height H in a direction perpendicular to the exit surface of the optical path turning prism, and the height H of the telephoto optical imaging system and a maximum effective diameter D1 of the first lens may satisfy 2.5&lt;H/D1&lt;3.5. 
     In one embodiment, an angle β between the second optical path turning surface of the optical path turning prism and the incident surface of the optical path turning prism, and an effective diameter h of the incident surface of the optical path turning prism may satisfy 0.2≤|tan β|/h≤0.3. 
     In one embodiment, an effective diameter h of the incident surface of the optical path turning prism and a maximum effective diameter D2 of the second lens may satisfy 1.0&lt;h/D2&lt;1.5. 
     In one embodiment, the total effective focal length F1 of the telephoto optical imaging system and an effective focal length f1 of the first lens may satisfy 3.0&lt;F1/f1&lt;4.0. 
     In one embodiment, the total effective focal length F1 of the telephoto optical imaging system and an effective focal length f2 of the second lens may satisfy −3.5&lt;F1/f2&lt;−3.0. 
     In one embodiment, an entrance pupil diameter EPD of the telephoto optical imaging system and half of a diagonal length ImgH of an effective pixel area on an imaging plane of the telephoto optical imaging system may satisfy 2.0&lt;EPD/ImgH&lt;3.0. 
     In one embodiment, a refractive index N1 of the first lens and a refractive index N2 of the second lens may satisfy 1.65&lt;(N1+N2)/2&lt;1.80. 
     In one embodiment, a spaced interval Tp along the optical axis between the exit surface of the optical path turning prism and the incident surface of the triangular prism may satisfy 2.0&lt;Tp&lt;3.0. 
     In a second aspect, the present disclosure further provides a telephoto optical imaging system which includes, sequentially from an object side to an image side along an optical axis, a first lens having positive refractive power, a second lens having negative refractive power, an optical path turning prism, and a triangular prism. An incident surface of the optical path turning prism is perpendicular to an axis of the second lens, and an exit surface of the optical path turning prism is perpendicular to the incident surface of the optical path turning prism. An imaging light incident to the optical path turning prism along the optical axis is reflected sequentially at a first optical path turning surface of the optical path turning prism and a second optical path turning surface of the optical path turning prism and emitted perpendicularly from the exit surface of the optical path turning prism. The light perpendicularly emitted from the exit surface of the optical path turning prism is reflected at a reflecting surface of the triangular prism and deflected by 90° with a deflection direction toward. At least one of an object-side surface of the first lens to an image-side surface of the second lens is aspheric. An equivalent distance TL in the air for a path distance of a light traveling along the optical axis from the object-side surface of the first lens to an imaging plane of the telephoto optical imaging system, and a distance T from the object-side surface of the first lens to the imaging plane of the telephoto optical imaging system in a normal direction of the imaging plane of the telephoto optical imaging system satisfy 3.0&lt;TL/T&lt;4.0. 
     The present disclosure employs two lenses and two prisms. By setting the prism, the light traveling direction is folded back relative to the arrangement direction of the multiple lenses, so that the size of the optical imaging lens assembly in the light incident direction is reduced. In addition, the use of the optical path turning prism reduces the loss of light energy in the system. At the same time, the above optical imaging system has at least one beneficial effect, such as ultra-long effective focal length, high image quality, small system size, simple structure and compact structure and the like, by rationally configuring the refractive power, the surface shape, the center thickness of each lens, and the on-axis spaced interval between the lenses and the like. 
     In a third aspect, the present disclosure provides a zoom camera apparatus which includes, the foregoing telephoto optical imaging system; and a short-focus optical imaging system arranged in parallel with the telephoto optical imaging system. A total effective focal length F1 of the telephoto optical imaging system and a total effective focal length F2 of the short-focus optical imaging system may satisfy F1/F2&gt;5. 
     The zoom camera apparatus provided by the present disclosure has a larger zoom range by providing two optical imaging systems, and has at least one beneficial effect, such as ultra-long effective focal length, high image quality, small system size, simple structure and compact structure and the like. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       Other features, objects, and advantages of the present disclosure will become more apparent from the following detailed description of the non-limiting embodiments with reference to the accompanying drawings. In the drawings: 
         FIG.  1    illustrates a schematic structural view of a telephoto optical imaging system according to the present disclosure; 
         FIG.  2    illustrates a schematic structural view of a telephoto optical imaging system according to example 1 of the present disclosure; 
         FIGS.  3 A to  3 D  illustrate a longitudinal aberration curve, an astigmatic curve, a distortion curve, and a lateral color curve of the optical imaging system of the example 1, respectively; 
         FIG.  4    illustrates a schematic structural view of a telephoto optical imaging system according to example 2 of the present disclosure; 
         FIGS.  5 A to  5 D  illustrate a longitudinal aberration curve, an astigmatic curve, a distortion curve, and a lateral color curve of the optical imaging system of the example 2, respectively; 
         FIG.  6    illustrates a schematic structural view of a telephoto optical imaging system according to example 3 of the present disclosure; 
         FIGS.  7 A to  7 D  illustrate a longitudinal aberration curve, an astigmatic curve, a distortion curve, and a lateral color curve of the optical imaging system of the example 3, respectively; 
         FIG.  8    illustrates a schematic structural view of a short-focus optical imaging system according to example 4 of the present disclosure; 
         FIGS.  9 A to  9 D  illustrate a longitudinal aberration curve, an astigmatic curve, a distortion curve, and a lateral color curve of the optical imaging system of the example 4, respectively; 
         FIG.  10    illustrates a schematic structural view of a short-focus optical imaging system according to example 5 of the present disclosure; and 
         FIGS.  11 A to  11 D  illustrate a longitudinal aberration curve, an astigmatic curve, a distortion curve, and a lateral color curve of the optical imaging system of the example 5, respectively. 
     
    
    
     DETAILED DESCRIPTION OF EMBODIMENTS 
     For a better understanding of the present disclosure, various aspects of the present disclosure will be described in more detail with reference to the accompanying drawings. It should be understood that the detailed description is merely illustrative of the exemplary embodiments of the present disclosure and is not intended to limit the scope of the present disclosure in any way. Throughout the specification, the same reference numerals refer to the same elements. The expression “and/or” includes any and all combinations of one or more of the associated listed items. 
     It should be noted that in the present specification, the expressions such as first, second, third are used merely for distinguishing one feature from another, without indicating any limitation on the features. Thus, a first lens discussed below may also be referred to as a second lens or a third lens without departing from the teachings of the present disclosure. 
     In the accompanying drawings, the thickness, size and shape of the lens have been somewhat exaggerated for the convenience of explanation. In particular, shapes of spherical surfaces or aspheric surfaces shown in the accompanying drawings are shown by way of example. That is, shapes of the spherical surfaces or the aspheric surfaces are not limited to the shapes of the spherical surfaces or the aspheric surfaces shown in the accompanying drawings. The accompanying drawings are merely illustrative and not strictly drawn to scale. 
     Herein, the paraxial area refers to an area near the optical axis. If a surface of a lens is a convex surface and the position of the convex is not defined, it indicates that the surface of the lens is convex at least in the paraxial region; and if a surface of a lens is a concave surface and the position of the concave is not defined, it indicates that the surface of the lens is concave at least in the paraxial region. In each lens, the surface closest to the object is referred to as an object-side surface of the lens, and the surface closest to the imaging plane is referred to as an image-side surface of the lens. 
     It should be further understood that the terms “comprising,” “including,” “having,” “containing” and/or “contain,” when used in the specification, specify the presence of stated features, elements and/or components, but do not exclude the presence or addition of one or more other features, elements, components and/or combinations thereof. In addition, expressions, such as “at least one of,” when preceding a list of features, modify the entire list of features rather than an individual element in the list. Further, the use of “may,” when describing embodiments of the present disclosure, refers to “one or more embodiments of the present disclosure.” Also, the term “exemplary” is intended to refer to an example or illustration. 
     Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by those of ordinary skill in the art to which the present disclosure belongs. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with the meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense, unless expressly so defined herein. 
     It should also be noted that, the examples in the present disclosure and the features in the examples may be combined with each other on a non-conflict basis. The present disclosure will be described in detail below with reference to the accompanying drawings and in combination with the examples. 
     The features, principles, and other aspects of the present disclosure are described in detail below. 
     Referring to  FIG.  1   , a telephoto optical imaging system according to an exemplary embodiment of the present disclosure may include a first lens E 100 , a second lens E 200 , an optical path turning prism P 1 , and a triangular prism P 2 . The two lenses are arranged sequentially from an object side to an image side along an optical axis. There may be an air interval between two adjacent lenses, between two adjacent prisms, and between the lens and the prism. The telephoto optical imaging system may include a stop arranged in an appropriate position. Optionally, the telephoto optical imaging system may further include an optical filter for correcting the color deviation and/or a protective glass for protecting the photosensitive element located on an imaging plane. 
     In an exemplary embodiment, the first lens E 100  has positive refractive power, and the second lens E 200  has negative refractive power. The low-order aberrations of the system are effectively compensated by rationally controlling the positive or negative distribution of the refractive power and the surface curvature of each component in the system. 
     In an exemplary embodiment, the optical path turning prism P 1  may at least include an incident surface S 105 , a first optical path turning surface S 106 , a second optical path turning surface S 107 , and an exit surface S 108 , which are sequentially arranged along the optical axis. The triangular prism P 2  may include at least an incident surface S 109 , a reflecting surface S 110 , and an exit surface S 111 . The optical axis turns twice in the optical path turning prism P 1 , and the optical axis turns once in the triangular prism P 2 . 
     The incident surface S 105  of the optical path turning prism P 1  is perpendicular to an axis of the second lens E 200 . The exit surface S 108  of the optical path turning prism P 1  is perpendicular to the incident surface S 105  of the optical path turning prism P 1 . An imaging light incident to the optical path turning prism P 1  along the optical axis is reflected sequentially at the first optical path turning surface S 106  of the optical path turning prism P 1  and the second optical path turning surface S 107  of the optical path turning prism P 1 , and emitted perpendicularly from the exit surface S 108  of the optical path turning prism P 1 . The light perpendicularly emitted from the exit surface S 108  of the optical path turning prism P 1  is reflected at the reflecting surface S 110  of the triangular prism P 2  and deflected by 90° with the deflection direction toward the image side. The use of the optical path turning prism P 1  reduces the loss of light energy in the telephoto optical imaging system, so that the telephoto optical imaging system has the characteristics of small size and compact structure. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: F1&gt;40 mm, where F1 is a total effective focal length of the telephoto optical imaging system. More specifically, F1 may satisfy: F1&gt;45 mm By constraining the total effective focal length of the telephoto optical imaging system, the telephoto optical imaging system has an ultra-long focal length. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 3.0&lt;TL/T&lt;4.0, where TL is an equivalent distance in the air for a path distance of a light traveling along the optical axis from an object-side surface S 101  of the first lens E 100  to an imaging plane S 112  of the telephoto optical imaging system, and T is a distance from the object-side surface S 101  of the first lens E 100  to the imaging plane S 112  of the telephoto optical imaging system in a normal direction of the imaging plane S 112  of the telephoto optical imaging system. More specifically, TL and T may satisfy: 3.4&lt;TL/T&lt;3.5. By controlling the ratio of the equivalent distance in the air for the total optical length of the telephoto optical imaging system to the lens structure length, the length of the telephoto optical imaging system may be controlled in the normal direction of the imaging plane S 112  (that is, in the horizontal direction during usual use), which may prevent the structural size of the telephoto optical imaging system from being too large. This may better satisfy the market&#39;s requirements for small size and compact structure of portable electronic equipment. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: T/F1&lt;0.6, where T is a distance from an object-side surface S 101  of the first lens E 100  to an imaging plane S 112  of the telephoto optical imaging system in a normal direction of the imaging plane S 112  of the telephoto optical imaging system, and F1 is a total effective focal length of the telephoto optical imaging system. More specifically, T and F1 may satisfy: T/F1&lt;0.5. By constraining the ratio of the structural length of the telephoto optical imaging system to the total effective focal length thereof, it is possible to have an ultra-long effective focal length while ensuring that the telephoto optical imaging system has a smaller size in the horizontal direction as shown in the figure. 
     In an exemplary embodiment, the optical path turning prism P 1  is a pentaprism, and an angle between the first optical path turning surface S 106  and the second optical path turning surface S 107  is small. By providing a prism surface, the size of the optical path turning prism P 1  in the vertical direction may be relatively small. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 2.5&lt;H/D1&lt;3.5, where H is a height in a vertical direction of the telephoto optical imaging system as shown in the figure, and D1 is a maximum effective diameter of the first lens P 1 . The vertical direction is also the direction of the section of the optical axis between the second optical path turning surface S 107  of the optical path turning prism P 1  and the reflecting surface S 110  of the triangular prism P 2 . More specifically, H and D1 may satisfy: 2.6&lt;H/D1&lt;3.2. By controlling the ratio of the height of the telephoto optical imaging system in the vertical direction to the maximum effective diameter of the first lens P 1 , it may effectively ensure that the structural size of the telephoto optical imaging system will not be too large, so that the portable electronic device installed with the telephoto optical imaging system may satisfy the market&#39;s requirements for small size and compact structure. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 0.2≤|tan β|/h≤0.3, where β is an angle between the second optical path turning surface S 107  of the optical path turning prism P 1  and the incident surface S 105  of the optical path turning prism P 1 , and h is an effective diameter of the incident surface S 105  of the optical path turning prism P 1 . The h may be equivalent to the effective height of the incident surface S 105  in the vertical direction. More specifically, 13 and h may satisfy: 0.21≤|tan β|/h≤0.28. By matching the angle between the second optical path turning surface S 107  and the incident surface S 105  with the effective diameter of the incident surface S 105 , the direction of the imaging light in the optical path turning prism P 1  may be restricted, so that the telephoto optical imaging system has a relatively long effective focal length. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 1.0&lt;h/D2&lt;1.5, where h is an effective diameter of the incident surface S 105  of the optical path turning prism P 1 , and D2 is a maximum effective diameter of the second lens E 200 . More specifically, h and D2 may satisfy: 1.2&lt;h/D2&lt;1.45. By controlling the ratio of the effective diameter of the incident surface S 105  to the maximum effective diameter of the second lens E 200 , it is beneficial to better control the overall size of the telephoto optical imaging system, so that the telephoto optical imaging system satisfies the requirements of structural miniaturization while meeting high-requirement optical performance. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 3.0&lt;F1/f2&lt;4.0, where F1 is a total effective focal length of the telephoto optical imaging system, and f1 is an effective focal length of the first lens E 100 . More specifically, F1 and f1 may satisfy: 3.48&lt;F1/f1&lt;3.55. By controlling the ratio of the total effective focal length to the effective focal length of the first lens E 100 , the contribution of the first lens E 100  to the total effective focal length may be effectively controlled, and the total effective focal length may be a relatively large value to achieve the characteristics of an ultra-long focal length. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: −3.5&lt;F1/f2&lt;−3.0, where F1 is a total effective focal length of the telephoto optical imaging system, and f2 is an effective focal length of the second lens E 200 . More specifically, F1 and f2 may satisfy: −3.2&lt;F1/f2&lt;−3.15. By controlling the ratio of the total effective focal length to the effective focal length of the second lens E 200 , the contribution of the second lens E 200  to the total effective focal length may be effectively controlled, and the total effective focal length may be a relatively large value to achieve the characteristics of an ultra-long focal length. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 2.0&lt;EPD/ImgH&lt;3.0, where EPD is an entrance pupil diameter of the telephoto optical imaging system, and ImgH is half of a diagonal length of an effective pixel area on an imaging plane S 112  of the telephoto optical imaging system. More specifically, EPD and ImgH may satisfy: 2.20&lt;EPD/ImgH&lt;2.70. By controlling the ratio of the entrance pupil diameter to the image height of the telephoto optical imaging system, it is beneficial for the telephoto optical imaging system to achieve large aperture and high image quality, and have a relatively large field-of-view. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 1.65&lt;(N1+N2)/2&lt;1.80, where N1 is a refractive index of the first lens E 100 , and N2 is a refractive index of the second lens E 200 . More specifically, N1 and N2 may satisfy: 1.69&lt;(N1+N2)/2&lt;1.73. By reasonably selecting the material of the first lens E 100  and the material of the second lens E 200 , the refractive index of the first lens E 100  and the refractive index of the second lens E 200  can be controlled. In addition, when the ratio of the two refractive indices satisfies the aforementioned conditional expression, the telephoto optical imaging system has the effects of high image quality and small aberrations. 
     In an exemplary embodiment, the telephoto optical imaging system according to the present disclosure may satisfy: 2.0&lt;Tp&lt;3.0, where Tp is a spaced interval along the optical axis between the exit surface S 108  of the optical path turning prism P 1  and the incident surface S 109  of the triangular prism P 2 . More specifically, Tp may satisfy: 2.30&lt;Tp&lt;2.85. By controlling the air interval between the optical path turning prism P 1  and the triangular prism P 2 , a certain moving space is given to the image plane S 112 , so that the telephoto optical imaging system has better assembly processability, and the telephoto optical imaging system is more compact and more miniaturized. 
     The optical imaging system according to the above embodiments of the present disclosure may employ a plurality of lenses, such as two lenses as described above. By properly configuring the refractive power of each lens, the surface shape, the center thickness of each lens, and spaced intervals along the optical axis between the lenses, the size and the sensitivity of the imaging system may be effectively reduced, and the workability of the imaging system may be improved, such that the optical imaging system is more advantageous for production processing and may be applied to portable electronic products. At the same time, the optical imaging system of the present disclosure also has excellent optical performance such as an ultra-long effective focal length. 
     In the embodiments of the present disclosure, at least one of the surfaces of lenses is aspheric, that is, at least one of the object-side surface S 101  of the first lens E 100  and the image-side surface S 104  of the second lens E 200  is aspheric. The aspheric lens is characterized by a continuous change in curvature from the center of the lens to the periphery of the lens. Unlike a spherical lens having a constant curvature from the center of the lens to the periphery of the lens, the aspheric lens has a better curvature radius characteristic, and has the advantages of improving distortion aberration and improving astigmatic aberration. With aspheric lens, the aberrations that occur during imaging may be eliminated as much as possible, and thus improving the image quality. Optionally, at least one of the object-side surface and the image-side surface of each of the first lens and the second lens is aspheric. Optionally, the object-side surface and the image-side surface of each of the first lens and the second lens are aspheric. 
     The present disclosure further provides a zoom camera apparatus which includes, the telephoto optical imaging system according to the foregoing embodiments and the combined embodiments, and a short-focus optical imaging system. The short-focus optical imaging system and the telephoto optical imaging system are arranged in parallel, and both may take images of the same object side. The zoom camera apparatus has compact structure, small size, and good image quality. 
     In an exemplary embodiment, the zoom camera apparatus according to the present disclosure may satisfy: F1/F2&gt;5, where F1 is a total effective focal length of the telephoto optical imaging system, and F2 is a total effective focal length of the short-focus optical imaging system. More specifically, F1 and F2 may satisfy: F1/F2&gt;7. By reasonably controlling the ratio of the total effective focal length of the two optical imaging systems, the zoom camera apparatus has a good zoom telephoto function. 
     In an exemplary embodiment, the short-focus optical imaging system may have seven lenses. In an exemplary embodiment, the above short-focus optical imaging system may further include at least a stop. The stop may be disposed at an appropriate position as required, for example, between the lens closest to the object side and the object side. Optionally, the above short-focus optical imaging system may further include an optical filter for correcting the color deviation and/or a protective glass for protecting the photosensitive element located on an imaging plane. 
     The short-focus optical imaging system according to the above embodiments of the present disclosure may employ a plurality of lenses, such as seven lenses as described above. By properly configuring the refractive power of each lens, the surface shape, the center thickness of each lens, and spaced intervals along the optical axis between the lenses, the size and the sensitivity of the imaging system may be effectively reduced, and the workability of the imaging system may be improved, such that the optical imaging system is more advantageous for production processing. In some embodiments of the present disclosure, at least one of the surfaces of each lens of the short-focus optical imaging system is aspheric. Optionally, the object-side surface and the image-side surface of each lens are aspheric. 
     However, it will be understood by those skilled in the art that the number of lenses constituting the telephoto optical imaging system and the number of lenses constituting the short-focus optical imaging system may be varied to achieve the various results and advantages described in this specification without departing from the technical solution claimed by the present disclosure. It is also possible to install more optical imaging systems in the zoom camera apparatus. 
     Some specific examples of optical imaging systems applicable to the above embodiment will be further described below with reference to the accompanying drawings. In the following examples, examples 1 to 3 relate to the telephoto optical imaging system as described above, and examples 4 to 5 relate to the short-focus optical imaging system as described above. The examples provided in the present disclosure have considered the compatibility between each other. In other words, the following telephoto optical imaging system and short-focus optical imaging system of the present disclosure may be arbitrarily combined with each other to achieve a desired zoom camera apparatus. 
     Example 1 
     A telephoto optical imaging system according to example 1 of the present disclosure is described below with reference to  FIG.  2    to  FIG.  3 D .  FIG.  2    shows a schematic structural view of the telephoto optical imaging system according to example 1 of the present disclosure. 
     As shown in  FIG.  2   , the telephoto optical imaging system includes a first lens E 100 , a second lens E 200 , an optical path turning prism P 1  and a triangular prism P 2 , which are sequentially arranged from an object side to an image side along an optical axis. 
     The first lens E 100  has positive refractive power, an object-side surface S 101  thereof is a convex surface, and an image-side surface S 102  thereof is a concave surface. The second lens E 200  has negative refractive power, an object-side surface S 103  thereof is a concave surface, and an image-side surface S 104  thereof is a concave surface. An incident surface S 105  of the optical path turning prism P 1  to an exit surface S 111  of the triangular prism P 2  are all spherical surfaces with infinite radius of curvature. Light from an object sequentially passes through the respective surfaces S 101  to S 111  and is finally imaged on an imaging plane S 112  of the telephoto optical imaging system. A stop may be disposed at the object-side surface S 101  of the first lens E 100 . 
     Table 1 is a table illustrating basic parameters of the telephoto optical imaging system of example 1, wherein the units for the radius of curvature, the thickness/distance and the focal length are millimeter (mm). 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                   
                   
                   
                   
                 Material 
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 Surface 
                 Radius of 
                 Thickness/ 
                 Refractive 
                 Abbe 
                 Focal 
                 Conic 
               
               
                 number 
                 type 
                 curvature 
                 Distance 
                 index 
                 number 
                 length 
                 coefficient 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 OBJ 
                 Spherical 
                 Infinite 
                 Infinite 
                   
                   
                   
                   
               
               
                 S101 
                 Aspheric 
                 9.7394 
                 2.2900 
                 1.743 
                 49.34 
                 13.58 
                 0.9746 
               
               
                 S102 
                 Aspheric 
                 226.0884 
                 1.1466 
                   
                   
                   
                 0.0000 
               
               
                 S103 
                 Aspheric 
                 −16.8016 
                 1.5634 
                 1.689 
                 31.08 
                 −15.00 
                 −3.4922 
               
               
                 S104 
                 Aspheric 
                 28.3019 
                 2.0000 
                   
                   
                   
                 0.0000 
               
               
                 S105 
                 Spherical 
                 Infinite 
                 10.8640 
                 1.517 
                 64.17 
                   
                   
               
               
                 S106 
                 Spherical 
                 Infinite 
                 −9.0000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S107 
                 Spherical 
                 Infinite 
                 10.8640 
                 1.517 
                 64.17 
                   
                   
               
               
                 S108 
                 Spherical 
                 Infinite 
                 2.3654 
                   
                   
                   
                   
               
               
                 S109 
                 Spherical 
                 Infinite 
                 4.0000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S110 
                 Spherical 
                 Infinite 
                 −4.0000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S111 
                 Spherical 
                 Infinite 
                 −7.2446 
                   
                   
                   
                   
               
               
                 S112 
                 Spherical 
                 Infinite 
               
               
                   
               
            
           
         
       
     
     In example 1, a total effective focal length F1 of the telephoto optical imaging system is 47.70 mm, and half of a diagonal length ImgH of an effective pixel area on the imaging plane S 112  of the telephoto optical imaging system is 3.17 mm. 
     In example 1, the object-side surface and the image-side surface of any one of the first lens E 100  to the second lens E 200  are aspheric. The surface shape x 1  of each aspheric lens may be defined by using, but not limited to, the following aspheric formula: 
     
       
         
           
             
               
                 
                   
                     x 
                     1 
                   
                   = 
                   
                     
                       
                         
                           c 
                           1 
                         
                         ⁢ 
                         
                           m 
                           1 
                           2 
                         
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               
                                 ( 
                                 
                                   
                                     k 
                                     1 
                                   
                                   + 
                                   1 
                                 
                                 ) 
                               
                               ⁢ 
                               
                                 c 
                                 1 
                                 2 
                               
                               ⁢ 
                               
                                 m 
                                 1 
                                 2 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       ∑ 
                       
                         Aim 
                         1 
                         i 
                       
                     
                   
                 
               
               
                 
                   ( 
                   1 
                   ) 
                 
               
             
           
         
       
     
     Where, x 1  is the sag—the axis-component of the displacement of the surface from the aspheric vertex, when the surface is at height m 1  from the optical axis; c 1  is a paraxial curvature of the aspheric surface, c 1 =1/R1 (that is, the paraxial curvature c 1  is reciprocal of the radius of curvature R1 in the above Table 1); k 1  is a conic coefficient; Ai is a correction coefficient for the i-th order of the aspheric surface. Table 2 below shows high-order coefficients A4, A6, A8 and A10 applicable to each aspheric surface S 101  to S 104  in example 1. 
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 2 
               
               
                   
               
               
                 Surface  
                   
                   
                   
                   
               
               
                 number 
                 A4 
                 A6 
                 A8 
                 A10 
               
               
                   
               
             
            
               
                 S1 
                 5.8243E−05 
                 −7.5436E−07 
                  5.2773E−08 
                 −2.3047E−09 
               
               
                 S2 
                 5.2876E−04 
                 −4.3133E−06 
                 −5.2751E−07 
                  7.8582E−09 
               
               
                 S3 
                 1.9158E−03 
                 −8.0799E−05 
                  1.0799E−06 
                 −2.9290E−09 
               
               
                 S4 
                 1.8337E−03 
                 −5.2936E−05 
                  6.3900E−07 
                  2.0478E−08 
               
               
                   
               
            
           
         
       
     
       FIG.  3 A  illustrates a longitudinal aberration curve of the telephoto optical imaging system according to example 1, representing deviations of focal points converged by light of different wavelengths after passing through the system.  FIG.  3 B  illustrates an astigmatic curve of the telephoto optical imaging system according to example 1, representing a curvature of a tangential plane and a curvature of a sagittal plane.  FIG.  3 C  illustrates a distortion curve of the telephoto optical imaging system according to example 1, representing amounts of distortion corresponding to different field-of-views.  FIG.  3 D  illustrates a lateral color curve of the telephoto optical imaging system according to example 1, representing deviations of different image heights on an imaging plane after light passes through the system. It can be seen from  FIG.  3 A  to  FIG.  3 D  that the telephoto optical imaging system provided in example 1 may achieve good image quality. 
     Example 2 
     A telephoto optical imaging system according to example 2 of the present disclosure is described below with reference to  FIG.  4    to  FIG.  5 D . In this example and the following examples, for the purpose of brevity, the description of parts similar to those in example 1 will be omitted.  FIG.  4    shows a schematic structural view of the telephoto optical imaging system according to example 2 of the present disclosure. 
     As shown in  FIG.  4   , the telephoto optical imaging system includes a first lens E 100 , a second lens E 200 , an optical path turning prism P 1  and a triangular prism P 2 , which are sequentially arranged from an object side to an image side along an optical axis. 
     The first lens E 100  has positive refractive power, an object-side surface S 101  thereof is a convex surface, and an image-side surface S 102  thereof is a concave surface. The second lens E 200  has negative refractive power, an object-side surface S 103  thereof is a concave surface, and an image-side surface S 104  thereof is a concave surface. An incident surface S 105  of the optical path turning prism P 1  to an exit surface S 111  of the triangular prism P 2  are all spherical surfaces with infinite radius of curvature. Light from an object sequentially passes through the respective surfaces S 101  to S 111  and is finally imaged on an imaging plane S 112  of the telephoto optical imaging system. A stop may be disposed at the object-side surface S 101  of the first lens E 100 . 
     In example 2, a total effective focal length F1 of the telephoto optical imaging system is 52.47 mm, and half of a diagonal length ImgH of an effective pixel area on the imaging plane S 112  of the telephoto optical imaging system is 3.49 mm. 
     Table 3 is a table illustrating basic parameters of the telephoto optical imaging system of example 2, wherein the units for the radius of curvature, the thickness/distance and the focal length are millimeter (mm). Table 4 shows high-order coefficients applicable to each aspheric surface in example 2, wherein the surface shape of each aspheric surface may be defined by the formula (1) given in the above example 1. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                   
                   
                   
                   
                 Material 
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 Surface 
                 Radius of 
                 Thickness/ 
                 Refractive 
                 Abbe 
                 Focal 
                 Conic 
               
               
                 number 
                 type 
                 curvature 
                 Distance 
                 index 
                 number 
                 length 
                 coefficient 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 OBJ 
                 Spherical 
                 Infinite 
                 Infinite 
                   
                   
                   
                   
               
               
                 S101 
                 Aspheric 
                 10.7134 
                 2.5190 
                 1.743 
                 49.34 
                 14.94 
                 0.9746 
               
               
                 S102 
                 Aspheric 
                 248.6972 
                 1.2613 
                   
                   
                   
                 0.0000 
               
               
                 S103 
                 Aspheric 
                 −18.4818 
                 1.7197 
                 1.689 
                 31.08 
                 −16.50 
                 −3.4922 
               
               
                 S104 
                 Aspheric 
                 31.1321 
                 2.2000 
                   
                   
                   
                 0.0000 
               
               
                 S105 
                 Spherical 
                 Infinite 
                 11.9504 
                 1.517 
                 64.17 
                   
                   
               
               
                 S106 
                 Spherical 
                 Infinite 
                 −9.9000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S107 
                 Spherical 
                 Infinite 
                 11.9504 
                 1.517 
                 64.17 
                   
                   
               
               
                 S108 
                 Spherical 
                 Infinite 
                 2.6020 
                   
                   
                   
                   
               
               
                 S109 
                 Spherical 
                 Infinite 
                 4.4000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S110 
                 Spherical 
                 Infinite 
                 −4.4000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S111 
                 Spherical 
                 Infinite 
                 −7.9691 
                   
                   
                   
                   
               
               
                 S112 
                 Spherical 
                 Infinite 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 4 
               
               
                   
               
               
                 Surface  
                   
                   
                   
                   
               
               
                 number 
                 A4 
                 A6 
                 A8 
                 A10 
               
               
                   
               
             
            
               
                 S1 
                 4.3759E−05 
                 −4.6840E−07 
                  2.7081E−08 
                 −9.7741E−10 
               
               
                 S2 
                 3.9727E−04 
                 −2.6782E−06 
                 −2.7070E−07 
                  3.3326E−09 
               
               
                 S3 
                 1.4394E−03 
                 −5.0170E−05 
                  5.5416E−07 
                 −1.2422E−09 
               
               
                 S4 
                 1.3777E−03 
                 −3.2869E−05 
                  3.2791E−07 
                  8.6848E−09 
               
               
                   
               
            
           
         
       
     
       FIG.  5 A  illustrates a longitudinal aberration curve of the telephoto optical imaging system according to example 2, representing deviations of focal points converged by light of different wavelengths after passing through the system.  FIG.  5 B  illustrates an astigmatic curve of the telephoto optical imaging system according to example 2, representing a curvature of a tangential plane and a curvature of a sagittal plane.  FIG.  5 C  illustrates a distortion curve of the telephoto optical imaging system according to example 2, representing amounts of distortion corresponding to different field-of-views.  FIG.  5 D  illustrates a lateral color curve of the telephoto optical imaging system according to example 2, representing deviations of different image heights on an imaging plane after light passes through the system. It can be seen from  FIG.  5 A  to  FIG.  5 D  that the telephoto optical imaging system provided in example 2 may achieve good image quality. 
     Example 3 
     A telephoto optical imaging system according to example 3 of the present disclosure is described below with reference to  FIG.  6    to  FIG.  7 D .  FIG.  6    shows a schematic structural view of the telephoto optical imaging system according to example 3 of the present disclosure. 
     As shown in  FIG.  6   , the telephoto optical imaging system includes a first lens E 100 , a second lens E 200 , an optical path turning prism P 1  and a triangular prism P 2 , which are sequentially arranged from an object side to an image side along an optical axis. 
     The first lens E 100  has positive refractive power, an object-side surface S 101  thereof is a convex surface, and an image-side surface S 102  thereof is a concave surface. The second lens E 200  has negative refractive power, an object-side surface S 103  thereof is a concave surface, and an image-side surface S 104  thereof is a concave surface. An incident surface S 105  of the optical path turning prism P 1  to an exit surface S 111  of the triangular prism P 2  are all spherical surfaces with infinite radius of curvature. Light from an object sequentially passes through the respective surfaces S 101  to S 111  and is finally imaged on an imaging plane S 112  of the telephoto optical imaging system. A stop may be disposed at the object-side surface S 101  of the first lens E 100 . 
     In example 3, a total effective focal length F1 of the telephoto optical imaging system is 52.47 mm, and half of a diagonal length ImgH of an effective pixel area on the imaging plane S 112  of the telephoto optical imaging system is 3.80 mm. 
     Table 5 is a table illustrating basic parameters of the telephoto optical imaging system of example 3, wherein the units for the radius of curvature, the thickness/distance and the focal length are millimeter (mm). Table 6 shows high-order coefficients applicable to each aspheric surface in example 3, wherein the surface shape of each aspheric surface may be defined by the formula (1) given in the above example 1. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                   
                   
                   
                   
                 Material 
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 Surface 
                 Radius of 
                 Thickness/ 
                 Refractive 
                 Abbe 
                 Focal 
                 Conic 
               
               
                 number 
                 type 
                 curvature 
                 Distance 
                 index 
                 number 
                 length 
                 coefficient 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 OBJ 
                 Spherical 
                 Infinite 
                 Infinite 
                   
                   
                   
                   
               
               
                 S101 
                 Aspheric 
                 11.6873 
                 2.7480 
                 1.743 
                 49.34 
                 16.30 
                 0.9746 
               
               
                 S102 
                 Aspheric 
                 271.3061 
                 1.3759 
                   
                   
                   
                 0.0000 
               
               
                 S103 
                 Aspheric 
                 −20.1619 
                 1.8761 
                 1.689 
                 31.08 
                 −18.00 
                 −3.4922 
               
               
                 S104 
                 Aspheric 
                 33.9623 
                 2.4000 
                   
                   
                   
                 0.0000 
               
               
                 S105 
                 Spherical 
                 Infinite 
                 13.0368 
                 1.517 
                 64.17 
                   
                   
               
               
                 S106 
                 Spherical 
                 Infinite 
                 −10.8000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S107 
                 Spherical 
                 Infinite 
                 13.0368 
                 1.517 
                 64.17 
                   
                   
               
               
                 S108 
                 Spherical 
                 Infinite 
                 2.8385 
                   
                   
                   
                   
               
               
                 S109 
                 Spherical 
                 Infinite 
                 4.8000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S110 
                 Spherical 
                 Infinite 
                 −4.8000 
                 1.517 
                 64.17 
                   
                   
               
               
                 S111 
                 Spherical 
                 Infinite 
                 −8.6935 
                   
                   
                   
                   
               
               
                 S112 
                 Spherical 
                 Infinite 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
             
               
                 TABLE 6 
               
               
                   
               
               
                 Surface  
                   
                   
                   
                   
               
               
                 number 
                 A4 
                 A6 
                 A8 
                 A10 
               
               
                   
               
             
            
               
                 S1 
                 3.3706E−05 
                 −3.0316E−07 
                  1.4728E−08 
                 −4.4666E−10 
               
               
                 S2 
                 3.0600E−04 
                 −1.7334E−06 
                 −1.4722E−07 
                  1.5230E−09 
               
               
                 S3 
                 1.1087E−03 
                 −3.2471E−05 
                  3.0138E−07 
                 −5.6766E−10 
               
               
                 S4 
                 1.0612E−03 
                 −2.1274E−05 
                  1.7833E−07 
                  3.9688E−09 
               
               
                   
               
            
           
         
       
     
       FIG.  7 A  illustrates a longitudinal aberration curve of the telephoto optical imaging system according to example 3, representing deviations of focal points converged by light of different wavelengths after passing through the system.  FIG.  7 B  illustrates an astigmatic curve of the telephoto optical imaging system according to example 3, representing a curvature of a tangential plane and a curvature of a sagittal plane.  FIG.  7 C  illustrates a distortion curve of the telephoto optical imaging system according to example 3, representing amounts of distortion corresponding to different field-of-views.  FIG.  7 D  illustrates a lateral color curve of the telephoto optical imaging system according to example 3, representing deviations of different image heights on an imaging plane after light passes through the system. It can be seen from  FIG.  7 A  to  FIG.  7 D  that the telephoto optical imaging system provided in example 3 may achieve good image quality. 
     In view of the above, examples 1 to 3 respectively satisfy the relationship shown in Table 7. 
     
       
         
           
               
               
               
               
               
             
               
                   
                 TABLE 7 
               
               
                   
                   
               
               
                   
                 Condition/Example 
                 1 
                 2 
                 3 
               
               
                   
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 TL/T 
                 3.44 
                 3.44 
                 3.44 
               
               
                   
                 T/F1 
                 0.48 
                 0.48 
                 0.48 
               
               
                   
                 H/D1 
                 2.66 
                 2.92 
                 3.18 
               
               
                   
                 |tanβ|/h 
                 0.27 
                 0.24 
                 0.22 
               
               
                   
                 h/D2 
                 1.28 
                 1.30 
                 1.42 
               
               
                   
                 f/f1 
                 3.51 
                 3.51 
                 3.51 
               
               
                   
                 f/f2 
                 −3.18 
                 −3.18 
                 −3.18 
               
               
                   
                 EPD/ImgH 
                 2.68 
                 2.44 
                 2.23 
               
               
                   
                 (N1 + N2)/2 
                 1.72 
                 1.72 
                 1.72 
               
               
                   
                 Tp 
                 2.37 
                 2.60 
                 2.84 
               
               
                   
                   
               
            
           
         
       
     
     Some specific examples of a zoom camera apparatus applicable to the above embodiment will be further described below with reference to the accompanying drawings. 
     Example 4 
     A zoom camera apparatus of this example may include one of the telephoto optical imaging systems in the foregoing embodiments and in examples 1 to 3, and further include a short-focus optical imaging system. 
     A short-focus optical imaging system according to example 4 of the present disclosure is described below with reference to  FIG.  8    to  FIG.  9 D .  FIG.  8    shows a schematic structural view of the short-focus optical imaging system according to example 4 of the present disclosure. 
     As shown in  FIG.  8   , the short-focus optical imaging system includes a stop STO, a third lens E 1 , a fourth lens E 2 , a fifth lens E 3 , a sixth lens E 4 , a seventh lens E 5 , an eighth lens E 6 , a ninth lens E 7  and an optical filter E 8 , which are sequentially arranged from an object side to an image side along an optical axis. 
     The third lens E 1  has positive refractive power, an object-side surface S 1  thereof is a convex surface, and an image-side surface S 2  thereof is a concave surface. The fourth lens E 2  has negative refractive power, an object-side surface S 3  thereof is a convex surface, and an image-side surface S 4  thereof is a concave surface. The fifth lens E 3  has negative refractive power, an object-side surface S 5  thereof is a concave surface, and an image-side surface S 6  thereof is a convex surface. The sixth lens E 4  has positive refractive power, an object-side surface S 7  thereof is a concave surface, and an image-side surface S 8  thereof is a convex surface. The seventh lens E 5  has positive refractive power, an object-side surface S 9  thereof is a concave surface, and an image-side surface S 10  thereof is a convex surface. The eighth lens E 6  has positive refractive power, an object-side surface S 11  thereof is a concave surface, and an image-side surface S 12  thereof is a convex surface. The ninth lens E 7  has negative refractive power, an object-side surface S 13  thereof is a concave surface, and an image-side surface S 14  thereof is a concave surface. The optical filter E 8  has an object-side surface S 15  and an image-side surface S 16 . Light from an object sequentially passes through the respective surfaces S 1  to S 16  and is finally imaged on an imaging plane S 17  of the short-focus optical imaging system. 
     In example 4, a total effective focal length F2 of the short-focus optical imaging system is 6.70 mm, and half of a diagonal length ImgH of an effective pixel area on the imaging plane S 17  of the short-focus optical imaging system is 6.40 mm. When the zoom camera apparatus of this example employs the telephoto optical imaging system in example 1, the zoom ratio is 7.12. 
     Table 8 is a table illustrating basic parameters of the short-focus optical imaging system of example 4, wherein the units for the radius of curvature, the thickness/distance and the focal length are millimeter (mm). 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 8 
               
             
            
               
                   
               
               
                   
                   
                   
                   
                 Material 
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 Surface 
                 Radius of 
                 Thickness/ 
                 Refractive 
                 Abbe 
                 Focal 
                 Conic 
               
               
                 number 
                 type 
                 curvature 
                 Distance 
                 index 
                 number 
                 length 
                 coefficient 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 OBJ 
                 Spherical 
                 Infinite 
                 Infinite 
                   
                   
                   
                   
               
               
                 STO 
                 Spherical 
                 Infinite 
                 −0.6850 
                   
                   
                   
                   
               
               
                 S1 
                 Aspheric 
                 2.3193 
                 0.9000 
                 1.546 
                 56.11 
                 5.19 
                 −0.011 
               
               
                 S2 
                 Aspheric 
                 13.1178 
                 0.0515 
                   
                   
                   
                 15.136 
               
               
                 S3 
                 Aspheric 
                 6.7331 
                 0.2901 
                 1.678 
                 19.25 
                 −12.40 
                 0.000 
               
               
                 S4 
                 Aspheric 
                 3.5877 
                 0.4284 
                   
                   
                   
                 0.000 
               
               
                 S5 
                 Aspheric 
                 −9.3507 
                 0.3817 
                 1.678 
                 19.25 
                 −43.07 
                 0.000 
               
               
                 S6 
                 Aspheric 
                 −17.7650 
                 0.1461 
                   
                   
                   
                 0.000 
               
               
                 S7 
                 Aspheric 
                 −27.7063 
                 0.5729 
                 1.546 
                 56.11 
                 32.03 
                 0.000 
               
               
                 S8 
                 Aspheric 
                 −6.4090 
                 0.5210 
                   
                   
                   
                 0.000 
               
               
                 S9 
                 Aspheric 
                 −4.3038 
                 0.4100 
                 1.570 
                 37.31 
                 81.14 
                 0.000 
               
               
                 S10 
                 Aspheric 
                 −8.0811 
                 0.6505 
                   
                   
                   
                 0.000 
               
               
                 S11 
                 Aspheric 
                 −9.8694 
                 0.5300 
                 1.546 
                 56.11 
                 17.52 
                 0.000 
               
               
                 S12 
                 Aspheric 
                 −9.8550 
                 0.8759 
                   
                   
                   
                 0.805 
               
               
                 S13 
                 Aspheric 
                 −11.7165 
                 0.8100 
                 1.536 
                 55.74 
                 −6.31 
                 0.000 
               
               
                 S14 
                 Aspheric 
                 5.4470 
                 0.3729 
                   
                   
                   
                 0.121 
               
               
                 S15 
                 Spherical 
                 Infinite 
                 0.2100 
                 1.517 
                 64.20 
                   
                   
               
               
                 S16 
                 Spherical 
                 Infinite 
                 0.4190 
                   
                   
                   
                   
               
               
                 S17 
                 Spherical 
                 Infinite 
               
               
                   
               
            
           
         
       
     
     In example 4, the object-side surface and the image-side surface of any one of the third lens E 1  to the ninth lens E 7  are aspheric. The surface shape x 2  of each aspheric lens may be defined by using, but not limited to, the following aspheric formula: 
     
       
         
           
             
               
                 
                   
                     x 
                     2 
                   
                   = 
                   
                     
                       
                         
                           c 
                           2 
                         
                         ⁢ 
                         
                           m 
                           2 
                           2 
                         
                       
                       
                         1 
                         + 
                         
                           
                             1 
                             - 
                             
                               
                                 ( 
                                 
                                   
                                     k 
                                     2 
                                   
                                   + 
                                   1 
                                 
                                 ) 
                               
                               ⁢ 
                               
                                 c 
                                 2 
                                 2 
                               
                               ⁢ 
                               
                                 m 
                                 2 
                                 2 
                               
                             
                           
                         
                       
                     
                     + 
                     
                       ∑ 
                       
                         Bim 
                         2 
                         i 
                       
                     
                   
                 
               
               
                 
                   ( 
                   2 
                   ) 
                 
               
             
           
         
       
     
     Where, x 2  is the sag—the axis-component of the displacement of the surface from the aspheric vertex, when the surface is at height m 2  from the optical axis; c 2  is a paraxial curvature of the aspheric surface, c 2 =1/R2 (that is, the paraxial curvature c 2  is reciprocal of the radius of curvature R2 in the above Table 8); k 2  is a conic coefficient; Bi is a correction coefficient for the i-th order of the aspheric surface. Table 9 below shows high-order coefficients B4, B6, B8, B10, B12, B14, B16, B18 and B20 applicable to each aspheric surface S 1  to S 14  in example 4. 
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 9 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
                   
                   
               
               
                 number 
                 B4 
                 B6 
                 B8 
                 B10 
                 B12 
                 B14 
                 B16 
                 B18 
                 B20 
               
               
                   
               
             
            
               
                 S1 
                 −8.4271E−03 
                 −1.6373E−03 
                  1.4022E−03 
                 −5.1051E−04 
                  1.5227E−04 
                 −5.1006E−05 
                  2.1046E−05 
                 −6.6965E−06 
                 5.2334 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−06 
               
               
                 S2 
                 −2.0807E−02 
                  3.5852E−03 
                  1.1982E−03 
                  1.2762E−03 
                  2.6435E−04 
                  2.9637E−04 
                 −5.0860E−05 
                  7.3553E−05 
                 −1.3804 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S3 
                 −9.6169E−02 
                  2.1992E−02 
                 −3.6468E−03 
                  2.7382E−03 
                 −1.4150E−04 
                  4.1701E−04 
                 −1.0682E−04 
                  8.3109E−05 
                 −2.1289 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S4 
                 −5.9474E−02 
                  1.1641E−02 
                 −2.8163E−03 
                  1.5481E−03 
                 −4.5618E−04 
                  2.7761E−04 
                 −1.2172E−04 
                  5.8302E−05 
                 −1.5282 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S5 
                  6.5631E−02 
                  3.7679E−03 
                 −1.8356E−03 
                  5.0585E−04 
                 −1.1830E−04 
                  1.1111E−04 
                 −6.8334E−05 
                  3.1712E−05 
                 −9.3756 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−06 
               
               
                 S6 
                 −2.7204E−02 
                  4.3034E−02 
                 −1.0201E−02 
                  1.3290E−03 
                  9.4051E−05 
                  1.0239E−04 
                 −7.3964E−05 
                  5.0447E−05 
                 −1.5216 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S7 
                 −6.4914E−02 
                  7.4840E−02 
                 −5.7584E−03 
                 −6.6374E−03 
                  2.7704E−03 
                  1.7981E−04 
                 −2.0616E−04 
                  5.3663E−05 
                 2.6793 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S8 
                  1.9111E−02 
                  1.4531E−01 
                 −6.9459E−02 
                  1.8346E−02 
                  1.2157E−03 
                 −3.5439E−03 
                  2.3029E−03 
                 −7.7473E−04 
                 1.5122 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−04 
               
               
                 S9 
                  7.5932E−01 
                  7.8930E−02 
                 −9.5168E−02 
                  6.3922E−02 
                 −3.0589E−02 
                  1.4630E−02 
                 −4.1668E−03 
                  8.0841E−04 
                 −1.4083 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−04 
               
               
                 S10 
                  2.4891E−02 
                  1.4643E−01 
                  1.2972E−01 
                 −2.2891E−02 
                 −2.1407E−02 
                  9.3133E−03 
                  8.1198E−03 
                 −1.7355E−03 
                 −7.8068 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−04 
               
               
                 S11 
                 −4.9777E−01 
                  8.5581E−01 
                  4.9509E−01 
                 −1.0423E−01 
                 −1.5718E−01 
                  5.5216E−03 
                  6.1221E−02 
                  3.5340E−03 
                 −1.5464 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−02 
               
               
                 S12 
                 −9.8457E−03 
                  7.4299E−01 
                  8.2398E−02 
                  1.6289E−01 
                 −2.3109E−02 
                 −1.2227E−01 
                  3.6826E−02 
                  1.5341E−02 
                 3.9560 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−03 
               
               
                 S13 
                 −1.7940E+00 
                 −6.6226E−01 
                 −6.6294E−02 
                  1.8543E−01 
                  2.8473E−01 
                  1.7655E−01 
                  2.4170E−02 
                 −3.5435E−02 
                 −3.4661 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−02 
               
               
                 S14 
                 −5.7893E+00 
                  1.0611E+00 
                 −3.6441E−01 
                  7.5989E−02 
                 −8.0817E−02 
                  3.1960E−03 
                  9.5569E−03 
                 −1.2997E−02 
                 1.0727 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−03 
               
               
                   
               
            
           
         
       
     
       FIG.  9 A  illustrates a longitudinal aberration curve of the short-focus optical imaging system according to example 4, representing deviations of focal points converged by light of different wavelengths after passing through the system.  FIG.  9 B  illustrates an astigmatic curve of the short-focus optical imaging system according to example 4, representing a curvature of a tangential plane and a curvature of a sagittal plane.  FIG.  9 C  illustrates a distortion curve of the short-focus optical imaging system according to example 4, representing amounts of distortion corresponding to different image heights.  FIG.  9 D  illustrates a lateral color curve of the short-focus optical imaging system according to example 4, representing deviations of different image heights on an imaging plane after light passes through the system. It can be seen from  FIG.  9 A  to  FIG.  9 D  that the short-focus optical imaging system provided in example 4 may achieve good image quality. The zoom camera apparatus has better image quality. 
     Example 5 
     A zoom camera apparatus of this example may include one of the telephoto optical imaging systems in the foregoing embodiments and in examples 1 to 3, and further include a short-focus optical imaging system. 
     A short-focus optical imaging system according to example 5 of the present disclosure is described below with reference to  FIG.  10    to  FIG.  11 D .  FIG.  10    shows a schematic structural view of the short-focus optical imaging system according to example 5 of the present disclosure. 
     As shown in  FIG.  10   , the short-focus optical imaging system includes a stop STO, a third lens E 1 , a fourth lens E 2 , a fifth lens E 3 , a sixth lens E 4 , a seventh lens E 5 , an eighth lens E 6 , a ninth lens E 7  and an optical filter E 8 , which are sequentially arranged from an object side to an image side along an optical axis. 
     The third lens E 1  has positive refractive power, an object-side surface S 1  thereof is a convex surface, and an image-side surface S 2  thereof is a concave surface. The fourth lens E 2  has negative refractive power, an object-side surface S 3  thereof is a convex surface, and an image-side surface S 4  thereof is a concave surface. The fifth lens E 3  has negative refractive power, an object-side surface S 5  thereof is a concave surface, and an image-side surface S 6  thereof is a convex surface. The sixth lens E 4  has positive refractive power, an object-side surface S 7  thereof is a concave surface, and an image-side surface S 8  thereof is a convex surface. The seventh lens E 5  has negative refractive power, an object-side surface S 9  thereof is a concave surface, and an image-side surface S 10  thereof is a convex surface. The eighth lens E 6  has positive refractive power, an object-side surface S 11  thereof is a concave surface, and an image-side surface S 12  thereof is a convex surface. The ninth lens E 7  has negative refractive power, an object-side surface S 13  thereof is a concave surface, and an image-side surface S 14  thereof is a convex surface. The optical filter E 8  has an object-side surface S 15  and an image-side surface S 16 . Light from an object sequentially passes through the respective surfaces S 1  to S 16  and is finally imaged on an imaging plane S 17  of the short-focus optical imaging system. 
     In example 5, a total effective focal length F2 of the short-focus optical imaging system is 6.63 mm, and half of a diagonal length ImgH of an effective pixel area on the imaging plane S 17  of the short-focus optical imaging system is 6.40 mm. When the zoom camera apparatus of this example employs the telephoto optical imaging system in example 3, the zoom ratio is 8.63. 
     Table 10 is a table illustrating basic parameters of the short-focus optical imaging system of example 5, wherein the units for the radius of curvature, the thickness/distance and the focal length are millimeter (mm). Table 11 shows high-order coefficients applicable to each aspheric surface in example 5, wherein the surface shape of each aspheric surface may be defined by the formula (2) given in the above example 4. 
     
       
         
           
               
               
               
               
               
               
               
             
               
                 TABLE 10 
               
             
            
               
                   
               
               
                   
                   
                   
                   
                 Material 
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Surface 
                 Surface 
                 Radius of 
                 Thickness/ 
                 Refractive 
                 Abbe 
                 Focal 
                 Conic 
               
               
                 number 
                 type 
                 curvature 
                 Distance 
                 index 
                 number 
                 length 
                 coefficient 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 OBJ 
                 Spherical 
                 Infinite 
                 Infinite 
                   
                   
                   
                   
               
               
                 STO 
                 Spherical 
                 Infinite 
                 −0.6375 
                   
                   
                   
                   
               
               
                 S1 
                 Aspheric 
                 2.3975 
                 0.8682 
                 1.546 
                 56.11 
                 5.45 
                 0.000 
               
               
                 S2 
                 Aspheric 
                 12.4601 
                 0.0742 
                   
                   
                   
                 0.000 
               
               
                 S3 
                 Aspheric 
                 6.1900 
                 0.3162 
                 1.678 
                 19.25 
                 −12.25 
                 0.000 
               
               
                 S4 
                 Aspheric 
                 3.4819 
                 0.3681 
                   
                   
                   
                 0.000 
               
               
                 S5 
                 Aspheric 
                 −12.0814 
                 0.3072 
                 1.678 
                 19.25 
                 −151.80 
                 0.000 
               
               
                 S6 
                 Aspheric 
                 −24.0308 
                 0.2227 
                   
                   
                   
                 0.000 
               
               
                 S7 
                 Aspheric 
                 −43.2121 
                 0.5193 
                 1.546 
                 56.11 
                 33.70 
                 0.000 
               
               
                 S8 
                 Aspheric 
                 −11.4032 
                 0.8577 
                   
                   
                   
                 0.000 
               
               
                 S9 
                 Aspheric 
                 −7.2989 
                 0.5000 
                 1.570 
                 37.31 
                 −24.21 
                 0.000 
               
               
                 S10 
                 Aspheric 
                 −8.5684 
                 0.3215 
                   
                   
                   
                 0.000 
               
               
                 S11 
                 Aspheric 
                 −8.7152 
                 0.6745 
                 1.546 
                 56.11 
                 8.26 
                 0.000 
               
               
                 S12 
                 Aspheric 
                 −8.0404 
                 0.9877 
                   
                   
                   
                 0.000 
               
               
                 S13 
                 Aspheric 
                 −8.7596 
                 0.5100 
                 1.536 
                 55.74 
                 −5.69 
                 0.000 
               
               
                 S14 
                 Aspheric 
                 −9.6724 
                 0.2805 
                   
                   
                   
                 0.000 
               
               
                 S15 
                 Spherical 
                 Infinite 
                 0.2142 
                 1.517 
                 64.20 
                   
                   
               
               
                 S16 
                 Spherical 
                 Infinite 
                 0.5061 
                   
                   
                   
                   
               
               
                 S17 
                 Spherical 
                 Infinite 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
               
               
               
               
               
               
               
               
               
             
               
                 TABLE 11 
               
               
                   
               
               
                 Surface 
                   
                   
                   
                   
                   
                   
                   
                   
                   
               
               
                 number 
                 B4 
                 B6 
                 B8 
                 B10 
                 B12 
                 B14 
                 B16 
                 B18 
                 B20 
               
               
                   
               
             
            
               
                 S1 
                  5.6361E−02 
                 −2.5411E−02 
                  1.0980E−02 
                 −4.0092E−03 
                  1.4335E−03 
                 −4.6916E−04 
                  1.3796E−04 
                 −3.8318E−05 
                 1.5599 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S2 
                  3.5558E−02 
                 −1.4845E−02 
                  8.5170E−03 
                  6.8749E−04 
                 −2.1106E−03 
                  2.2775E−03 
                 −1.3842E−03 
                  6.7742E−04 
                 −1.9075 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−04 
               
               
                 S3 
                 −1.3648E−01 
                  2.7687E−02 
                 −2.4111E−03 
                  1.7501E−03 
                 −9.3695E−04 
                  1.1322E−03 
                 −6.2394E−04 
                  2.7954E−04 
                 −6.9536 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S4 
                 −6.2308E−02 
                  8.4439E−04 
                  6.8300E−03 
                 −5.1738E−03 
                  3.3458E−03 
                 −1.5471E−03 
                  6.0732E−04 
                 −1.6555E−04 
                 2.1288 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S5 
                  1.0734E−01 
                 −9.0074E−03 
                  4.9558E−03 
                 −4.1453E−03 
                  2.7900E−03 
                 −1.3479E−03 
                  5.5902E−04 
                 −1.8693E−04 
                 4.0548 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S6 
                  1.6760E−02 
                  1.9690E−02 
                 −5.0720E−03 
                  8.0396E−04 
                  1.1187E−04 
                 −8.6118E−06 
                 −1.0049E−05 
                  8.0415E−06 
                 2.0557 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−06 
               
               
                 S7 
                 −6.5241E−02 
                  5.4548E−02 
                  8.4862E−03 
                 −7.7361E−03 
                  5.2207E−04 
                  1.1776E−03 
                 −2.0857E−04 
                 −1.7429E−04 
                 9.2362 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S8 
                 −9.4224E−02 
                  9.4117E−02 
                  1.8981E−03 
                 −1.3769E−02 
                  5.0277E−03 
                  2.0003E−04 
                 −6.7281E−04 
                  2.3613E−04 
                 −1.1619 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−05 
               
               
                 S9 
                  3.5438E−01 
                  2.9640E−01 
                 −1.0309E−01 
                 −3.3219E−02 
                  4.1182E−02 
                 −8.8540E−03 
                 −7.6102E−05 
                  1.0094E−03 
                 −1.4277 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−04 
               
               
                 S10 
                  2.1149E−01 
                  2.0937E−01 
                  1.5325E−01 
                 −6.3021E−02 
                  8.5556E−03 
                  1.8973E−02 
                  8.6358E−03 
                 −6.2928E−03 
                 1.4695 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−03 
               
               
                 S11 
                  6.1356E−01 
                  7.0924E−01 
                  2.1251E−01 
                 −1.8725E−01 
                  3.0854E−02 
                  2.7427E−02 
                 −1.1693E−03 
                 −1.6920E−02 
                 6.5317 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−03 
               
               
                 S12 
                  3.9446E−01 
                  7.6954E−01 
                 −7.1193E−02 
                  6.5055E−02 
                 −7.5268E−03 
                 −6.0853E−02 
                  2.2553E−02 
                 −1.5976E−02 
                 −5.9630 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−04 
               
               
                 S13 
                 −1.6888E+00 
                 −5.4395E−01 
                 −2.8075E−02 
                  1.0801E−01 
                  2.2405E−01 
                  1.3204E−01 
                  1.0985E−02 
                 −3.4605E−03 
                 −1.9508 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−03 
               
               
                 S14 
                  1.2715E−01 
                  9.7808E−02 
                  1.8733E−01 
                 −1.9956E−02 
                  2.3852E−01 
                  4.9957E−02 
                  3.3977E−02 
                  6.6821E−02 
                 −3.2301 
               
               
                   
                   
                   
                   
                   
                   
                   
                   
                   
                 E−02 
               
               
                   
               
            
           
         
       
     
       FIG.  11 A  illustrates a longitudinal aberration curve of the short-focus optical imaging system according to example 5, representing deviations of focal points converged by light of different wavelengths after passing through the system.  FIG.  11 B  illustrates an astigmatic curve of the short-focus optical imaging system according to example 5, representing a curvature of a tangential plane and a curvature of a sagittal plane.  FIG.  11 C  illustrates a distortion curve of the short-focus optical imaging system according to example 5, representing amounts of distortion corresponding to different image heights.  FIG.  11 D  illustrates a lateral color curve of the short-focus optical imaging system according to example 5, representing deviations of different image heights on an imaging plane after light passes through the system. It can be seen from  FIG.  11 A  to  FIG.  11 D  that the short-focus optical imaging system provided in example 5 may achieve good image quality. The zoom camera apparatus has better image quality. 
     The present disclosure further provides a zoom camera apparatus, which is provided with an electronic photosensitive element for imaging. The electronic photosensitive element may be a photosensitive Charge-Coupled Device (CCD) or a Complementary Metal-Oxide Semiconductor (CMOS). The zoom camera apparatus may be an independent imaging device such as a digital camera, or may be an imaging module integrated in a mobile electronic device such as a mobile phone. The imaging apparatus is equipped with the optical imaging system described above. 
     The foregoing is only a description of the preferred examples of the present disclosure and the applied technical principles. It should be appreciated by those skilled in the art that the protective scope of the present disclosure is not limited to the technical solutions formed by the particular combinations of the above technical features. The protective scope should also cover other technical solutions formed by any combinations of the above technical features or equivalent features thereof without departing from the concept of the invention, such as, technical solutions formed by replacing the features as disclosed in the present disclosure with (but not limited to), technical features with similar functions.