OPTICAL IMAGING SYSTEM

Information

  • Patent Application
  • 20240369809
  • Publication Number
    20240369809
  • Date Filed
    March 28, 2024
    10 months ago
  • Date Published
    November 07, 2024
    3 months ago
Abstract
An optical imaging system includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens sequentially disposed in ascending numerical order from an object side of the optical imaging system toward an imaging surface of the optical imaging system, wherein the first lens has a positive refractive power, the second lens has a positive refractive power, and the third lens has a negative refractive power, an Abbe number of the third lens is less than an Abbe number of the first lens and is less than an Abbe number of the second lens, and TTL/(2×IMG HT)<0.7 is satisfied, where TTL is a distance from an object-side surface of the first lens to the imaging surface, and IMG HT is one half of a diagonal length of the imaging surface.
Description
CROSS-REFERENCE TO RELATED APPLICATIONS

This application claims the benefit under 35 USC 119 (a) of Korean Patent Application No. 10-2023-0057877 filed on May 3, 2023, in the Korean Intellectual Property Office, the entire disclosure of which is incorporated herein by reference for all purposes.


BACKGROUND
1. Field

The present disclosure relates to an optical imaging system.


2. Description of Related Art

A recent portable terminal is equipped with a camera including an optical imaging system including a plurality of lenses to enable video calls and image capturing.


Furthermore, as the functions of a camera in a portable terminal have gradually increased, demand for cameras for the portable terminal having a high resolution is increasing.


Furthermore, as the portable terminal has gradually become smaller, a slimmer camera for the portable terminal is needed, and accordingly there is a need for the development of an optical imaging system that is slim and has a high resolution.


SUMMARY

This Summary is provided to introduce a selection of concepts in simplified form that are further described below in the Detailed Description. This Summary is not intended to identify key features or essential features of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject matter.


In one general aspect, an optical imaging system includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens sequentially disposed in ascending numerical order along an optical axis of the optical imaging system from an object side of the optical imaging system toward an imaging surface of the optical imaging system, wherein the first lens has a positive refractive power, the second lens has a positive refractive power, and the third lens has a negative refractive power, an Abbe number of the third lens is less than an Abbe number of the first lens and is less than an Abbe number of the second lens, and TTL/(2×IMG HT)<0.7 is satisfied, where TTL is a distance along the optical axis from an object-side surface of the first lens to the imaging surface, and IMG HT is one half of a diagonal length of the imaging surface.


Either one or both of v1−v3<45 and v1−v5<45 may be satisfied, where v1 is the Abbe number of the first lens, v3 is the Abbe number of the third lens, and v5 is an Abbe number of the fifth lens.


35<v3+v5<45 may be satisfied.


0<f1/f<30 may be satisfied, where f1 is a focal length of the first lens, and f is a total focal length of the optical imaging system.


0<f2/f<3 may be satisfied, where f2 is a focal length of the second lens, and f is a total focal length of the optical imaging system.


−3<f3/f<0 may be satisfied, where f3 is a focal length of the third lens, and f is a total focal length of the optical imaging system.


0.4<|f12/f3|<0.6 may be satisfied, where f12 is a composite focal length of the first lens and the second lens, and f3 is a focal length of the third lens.


4.5<f1/f2<21 may be satisfied, where f1 is a focal length of the first lens, and f2 is a focal length of the second lens.


0.4<|f2/f3|<0.7 may be satisfied, where f2 is a focal length of the second lens.


0.09<|f3/f1|<0.32 may be satisfied, where f1 is a focal length of the first lens.


TTL/f<1.5 and BFL/f<0.5 may be satisfied, where BFL is a distance along the optical axis from an image-side surface of the ninth lens to the imaging surface, and f is a total focal length of the optical imaging system.


Fno≤1.69 may be satisfied, where Fno is an F-number of the optical imaging system.


FOV×IMG HT/f>60° may be satisfied, where FOV is a field of view of the optical imaging system, and f is a total focal length of the optical imaging system.


Either one or both of SWA11<25° and SWA21<36° may be satisfied, where SWA11 is a sweep angle at an end of an effective diameter of the object-side surface of the first lens, and SWA21 is a sweep angle at an end of an effective diameter of an object-side surface of the second lens.


Each of the first lens to the sixth lens may have a convex object-side surface in a paraxial region thereof and a concave image-side surface in a paraxial region thereof.


A sum of the Abbe number of the third lens and an Abbe number of the fifth lens may be less than an Abbe number of the fourth lens.


The ninth lens may have a negative refractive power, a convex object-side surface in a paraxial region thereof, and a concave image-side surface in a paraxial region thereof.


Each of the first lens and the second lens may have an Abbe number greater than 54 and less than 57, and the third lens may have an Abbe number greater than 18 and less than 24.


The fifth lens may have a refractive index greater than 1.64 and an Abbe number less than 21.


Two of the fifth to seventh lenses may have a refractive index greater than 1.61 and an Abbe number less than 26.


An Abbe number of the seventh lens may be less than an Abbe number of the eighth lens and may be less than an Abbe number of the ninth lens.


A focal length of the second lens may be less than an absolute value of a focal length of the third lens, and the absolute value of the focal length of the third lens may be less than a focal length of the first lens.


The optical imaging system may have a field of view greater than 80° and less than 85°.


Other features and aspects will be apparent from the following detailed description, the drawings, and the claims.





BRIEF DESCRIPTION OF DRAWINGS


FIG. 1 is a structural view of an optical imaging system according to a first embodiment of the present disclosure.



FIG. 2 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 1.



FIG. 3 is a structural view of an optical imaging system according to a second embodiment of the present disclosure.



FIG. 4 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 3.



FIG. 5 is a structural view of an optical imaging system according to a third embodiment of the present disclosure.



FIG. 6 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 5.



FIG. 7 is a structural view of an optical imaging system according to a fourth embodiment of the present disclosure.



FIG. 8 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 7.



FIG. 9 is a structural view of an optical imaging system according to a fifth embodiment of the present disclosure.



FIG. 10 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 9.



FIG. 11 is a block diagram of an optical imaging system according to a sixth embodiment of the present disclosure.



FIG. 12 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 11.



FIG. 13 is a structural view of an optical imaging system according to a seventh embodiment of the present disclosure.



FIG. 14 is a view illustrating an aberration characteristic of the optical imaging system illustrated in FIG. 13.



FIG. 15 is a structural view of an optical imaging system according to an eighth embodiment of the present disclosure.



FIG. 16 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 15.



FIG. 17 is a structural view of an optical imaging system according to a ninth embodiment of the present disclosure.



FIG. 18 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 17.



FIG. 19 is a structural view of an optical imaging system according to a tenth embodiment of the present disclosure.



FIG. 20 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 19.



FIG. 21 is a block diagram of an optical imaging system according to an eleventh embodiment of the present disclosure.



FIG. 22 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 21.



FIG. 23 is a structural view of an optical imaging system according to a twelfth embodiment of the present disclosure.



FIG. 24 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 23.



FIG. 25 is a structural view of an optical imaging system according to a thirteenth embodiment of the present disclosure.



FIG. 26 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 25.



FIG. 27 is a block diagram of an optical imaging system according to a fourteenth embodiment of the present disclosure.



FIG. 28 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 27.



FIG. 29 is a structural view of an optical imaging system according to a fifteenth embodiment of the present disclosure.



FIG. 30 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 29.



FIG. 31 illustrates a sweep angle at a specific position of an object-side surface of a lens.





Throughout the drawings and the detailed description, the same reference numerals refer to the same elements. The drawings may not be to scale, and the relative sizes, proportions, and depictions of elements in the drawings may be exaggerated for clarity, illustration, and convenience.


DETAILED DESCRIPTION

The following detailed description is provided to assist the reader in gaining a comprehensive understanding of the methods, apparatuses, and/or systems described herein. However, various changes, modifications, and equivalents of the methods, apparatuses, and/or systems described herein will be apparent after an understanding of the disclosure of this application. For example, the sequences of operations described herein are merely examples, and are not limited to those set forth herein, but may be changed as will be apparent after an understanding of the disclosure of this application, with the exception of operations necessarily occurring in a certain order. Also, descriptions of features that are known in the art may be omitted for increased clarity and conciseness.


The features described herein may be embodied in different forms, and are not to be construed as being limited to the examples described herein. Rather, the examples described herein have been provided merely to illustrate some of the many possible ways of implementing the methods, apparatuses, and/or systems described herein that will be apparent after an understanding of the disclosure of this application.


Throughout the specification, when an element, such as a layer, region, or substrate, is described as being “on,” “connected to,” or “coupled to” another element, it may be directly “on,” “connected to,” or “coupled to” the other element, or there may be one or more other elements intervening therebetween. In contrast, when an element is described as being “directly on,” “directly connected to,” or “directly coupled to” another element, there can be no other elements intervening therebetween.


As used herein, the term “and/or” includes any one and any combination of any two or more of the associated listed items.


Although terms such as “first,” “second,” and “third” may be used herein to describe various members, components, regions, layers, or sections, these members, components, regions, layers, or sections are not to be limited by these terms. Rather, these terms are only used to distinguish one member, component, region, layer, or section from another member, component, region, layer, or section. Thus, a first member, component, region, layer, or section referred to in examples described herein may also be referred to as a second member, component, region, layer or section without departing from the teachings of the examples.


Spatially relative terms such as “above,” “upper,” “below,” and “lower” may be used herein for ease of description to describe one element's relationship to another element as shown in the figures. Such spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. For example, if the device in the figures is turned over, an element described as being “above” or “upper” relative to another element will then be “below” or “lower” relative to the other element. Thus, the term “above” encompasses both the above and below orientations depending on the spatial orientation of the device. The device may also be oriented in other ways (for example, rotated by 90 degrees or at other orientations), and the spatially relative terms used herein are to be interpreted accordingly.


The terminology used herein is for describing various examples only, and is not to be used to limit the disclosure. The articles “a,” “an,” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. The terms “comprises,” “includes,” and “has” specify the presence of stated features, numbers, operations, members, elements, and/or combinations thereof, but do not preclude the presence or addition of one or more other features, numbers, operations, members, elements, and/or combinations thereof.


In the drawings, the thicknesses, sizes, and shapes of the lenses may be exaggerated for illustrative purposes. In particular, shapes of spherical or aspherical surfaces illustrated in the drawings are only presented as examples, and are not limited thereto.


An optical imaging system according to an embodiment of the present disclosure includes nine lenses.


A first lens refers to a lens closest to an object side of the optical imaging system, and a ninth lens refers to a lens closest to an imaging surface (or an image sensor) of the optical imaging system.


Additionally, in each lens, a first surface (or an object-side surface) denotes a surface closest to the object side of the optical imaging system, and a second surface or an image-side surface) denotes a surface closest to the imaging surface of the optical imaging surface.


Additionally, in the one or more embodiments of an optical imaging system, the numerical values of the radiuses of curvature, thicknesses, distances, and focal lengths of the lenses are expressed in mm, and a field of view (FOV) of the optical imaging system is expressed in degrees) (°.


Additionally, in describing the shape of each lens, a statement that a surface is convex denotes that a paraxial region of the corresponding surface is convex, and a statement that a surface is concave denotes that a paraxial region of the corresponding surface is concave.


Therefore, even if one surface of the lens is described as having a convex shape, an edge portion of the surface may be concave. Similarly, even if one surface of the lens is described as having a concave shape, an edge portion of the surface may be convex.


A paraxial region of a lens surface is a central portion of the lens surface surrounding the optical axis of the lens surface in which light rays incident to the lens surface make a small angle θ to the optical axis, and the approximations sin θ≈θ, tan θ≈θ, and cos θ≈1 are valid.


The imaging surface may refer to a virtual surface on which a focus is formed by the optical imaging system. Alternatively, the imaging surface may refer to one surface of an image sensor on which light is received through the optical imaging system.


The optical imaging system according to an embodiment of the present disclosure includes at least nine lenses.


For example, the optical imaging system according to an embodiment of the present disclosure includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens sequentially disposed in ascending numerical order along an optical axis of the optical imaging system from the object side of the optical imaging system toward the imaging surface of the optical imaging system. Adjacent lenses among the first lens to the ninth lens are spaced apart from each other by a predetermined distance along the optical axis.


The optical imaging system according to an embodiment of the present disclosure may further include an image sensor that converts an image of an incident subject into an electrical signal.


Additionally, the optical imaging system may further include an infrared blocking filter (hereinafter referred to as a filter) that blocks infrared rays. The filter may be disposed between the ninth lens and the imaging surface.


Additionally, the optical imaging system may further include an aperture that adjusts an amount of light that reaches the imaging surface.


The first lens to the ninth lens forming the optical imaging system according to an embodiment of the present disclosure may be made of a plastic material.


Additionally, at least one lens among the first lens to the ninth lens has an aspherical surface. For example, each of the first lens to the ninth lens may have at least one aspherical surface.


That is, either one or both of each of the first and second surfaces of the first lens to the ninth lens may be aspherical surfaces. The aspherical surfaces of the first lens to the ninth lens are represented by Equation 1 below.









Z
=



cY
2


1
+


1
-


(

1
+
K

)



c
2



Y
2






+

AY
4

+

BY
6

+

CY
8

+

DY
10

+

EY
12

+

GY
14

+

HY
18

+

JY
20

+

LY
22

+

MY
24

+

NY
26

+

OY
28

+

PY
30






(
1
)







In Equation 1, c is a curvature of the lens and is equal to a reciprocal of a radius of curvature of the lens surface at an optical axis of the lens surface, K is a conic constant, and Y is a distance from any point on the aspherical surface of the lens to the optical axis. In addition, constants A to H, J, and L to P are aspherical surface coefficients. Z (also known as sag) is a distance in a direction parallel to an optical axis direction between the point on the aspherical surface of the lens at the distance Y from the optical axis of the aspherical surface to a tangential plane perpendicular to the optical axis and intersecting a vertex of the aspherical surface.


The optical imaging system according to an embodiment of the present disclosure may satisfy any one or any combination of any two or more of the following conditional expressions.









0
<

f

1
/
f

<
30




(

Conditional


Expression


1

)












0
<

f

2
/
f

<
3




(

Conditional


Expression


2

)













-
3

<

f

3
/
f

<
0




(

Conditional


Expression


3

)













-
1

<

f

4
/
f
/
100

<
0.5




(

Conditional


Expression


4

)













-
0.5

<

f

5
/
f
/
100

<
1




(

Conditional


Expression


5

)













-
2

<

f

6
/
f
/
100

<
1.5




(

Conditional


Expression


6

)













-
0.5

<

f

7
/
f
/
15





(

Conditional


Expression


7

)













-
1

<

f

8
/
f
/
100

<
0.5




(

Conditional


Expression


8

)













-
3

<

f

9
/
f

<
0




(

Conditional


Expression


9

)














v

1

-

v

3


<
45




(

Conditional


Expression


10

)














v

1

-

v

5


<
45




(

Conditional


Expression


11

)













TTL
/
f

<
1.5




(

Conditional


Expression


12

)













BFL
/
f

<
0.5




(

Conditional


Expression


13

)













TTL
/

(

2
×
IMG


HT

)


<
0.7




(

Conditional


Expression


14

)













FOV
×
IMG


HT
/
f

>

60

°





(

Conditional


Expression


15

)












Fno

1.69




(

Conditional


Expression


16

)













SWA

11

<

25

°





(

Conditional


Expression


17

)













SWA

21

<

36

°





(

Conditional


Expression


18

)













Nv

26


3




(

Conditional


Expression


19

)












35
<


v

3

+

v

5


<
45




(

Conditional


Expression


20

)












4.5
<

f

1
/
f

2

<
21




(

Conditional


Expression


21

)












0.4
<



"\[LeftBracketingBar]"


f

12
/
f

3



"\[RightBracketingBar]"


<
0.6




(

Conditional


Expression


22

)












0.4
<



"\[LeftBracketingBar]"


f

2
/
f

3



"\[RightBracketingBar]"


<
0.7




(

Conditional


Expression


23

)












0.09
<



"\[LeftBracketingBar]"


f

3
/
f

1



"\[RightBracketingBar]"


<
0.32




(

Conditional


Expression


24

)







In the conditional expressions, f1 is a focal length of the first lens, f2 is a focal length of the second lens, f3 is a focal length of the third lens, f4 is a focal length of the fourth lens, f5 is a focal length of the fifth lens, f6 is a focal length of the sixth lens, f7 is a focal length of the seventh lens, f8 is a focal length of the eighth lens, f9 is a focal length of the ninth lens, f12 is a combined focal length of the first and second lenses, and f is a total focal length of the optical imaging system.


v1 is an Abbe number of the first lens, v3 is an Abbe number of the third lens, and v5 is an Abbe number of the fifth lens.


Nv26 is a number of lenses having an Abbe number less than 26.


TTL is a distance along the optical axis from an object-side surface of the first lens to the imaging surface, BFL is a distance along the optical axis from an image-side surface of the ninth lens to the imaging surface, and IMG HT is one half of a diagonal length of the imaging surface.


FOV is a field of view of the optical imaging system, and Fno is an F-number of the optical imaging system.


SWA11 is a sweep angle at an end of an effective diameter of an object-side surface of the first lens, and SWA21 is a sweep angle at an end of an effective diameter of the object-side surface of the second lens.


Referring to FIG. 31, a sweep angle at a specific position of an object-side surface of a lens may be defined as an angle between a tangent line TL1 at a vertex of the object-side surface of the lens and a tangent line TL2 at the specific position, or between a straight line TL1 perpendicular to an optical axis of the object-side surface of the lens and the tangent line TL2 at the specific position. The vertex of the object-side surface of the lens may be a point at which the object-side surface of the lens meets the optical axis of the object-side surface of the lens.


For example, the sweep angle SWA11 at the end of the effective diameter of the object-side surface of the first lens may be defined as an angle between a tangent line at a vertex of the object-side surface of the first lens and a tangent line at an end of the effective diameter of the object-side surface of the first lens. The sweep angle SWA21 at the end of the effective diameter of the object-side surface of the second lens may be defined as an angle between a tangent line at a vertex of the object-side surface of the second lens and a tangent line at the end of the effective diameter of the object-side surface of the second lens.


The first lens has a positive refractive power. Additionally, the first lens may have a meniscus shape convex toward the object side. In addition, a first surface of the first lens may be convex in the paraxial region, and a second surface of the first lens may be concave in the paraxial region.


The second lens has a positive refractive power. Additionally, the second lens may have a meniscus shape convex toward the object side. In addition, a first surface of the second lens may be convex in the paraxial region, and a second surface of the second lens may be concave in the paraxial region.


The third lens has a negative refractive power. Additionally, the third lens may have a meniscus shape convex toward the object side. In addition, a first surface of the third lens may be convex in the paraxial region, and a second surface of the third lens may be concave in the


The fourth lens has a negative refractive power or a positive refractive power. Additionally, the fourth lens may have a meniscus shape convex toward the object side. In addition, a first surface of the fourth lens may be convex in the paraxial region, and a second surface of the fourth lens may be concave in the paraxial region.


The fifth lens has a negative refractive power or a positive refractive power. Additionally, the fifth lens may have a meniscus shape convex toward the object side. In addition, a first surface of the fifth lens may be convex in the paraxial region, and a second surface of the fifth lens may be concave in the paraxial region.


The sixth lens has a negative refractive power or a positive refractive power. Additionally, the sixth lens may have a meniscus shape convex toward the object side. In addition, a first surface of the sixth lens may be convex in the paraxial region, and a second surface of the sixth lens may be concave in the paraxial region.


The seventh lens has a negative refractive power or a positive refractive power. Additionally, the seventh lens may have a meniscus shape convex toward the image side. In addition, a first surface of the seventh lens may be concave in the paraxial region, and a second surface of the seventh lens may be convex in the paraxial region. Alternatively, the seventh lens may have a shape in which both surfaces are convex. In addition, the first and second surfaces of the seventh lens may be convex in the paraxial region.


The eighth lens has a negative refractive power or a positive refractive power. Additionally, the eighth lens may have a meniscus shape convex toward the object side. In addition, a first surface of the eighth lens may be convex in the paraxial region and a second surface of the eighth lens may be concave in the paraxial region. Alternatively, the eighth lens may have a meniscus shape convex toward the image side. In addition, the first surface of the eighth lens may be concave in the paraxial region, and the second surface of the eighth lens may be convex in the paraxial region.


The ninth lens has a negative refractive power. Additionally, the ninth lens may have a meniscus shape convex toward the object side. In addition, a first surface of the ninth lens may be convex in the paraxial region, and a second surface of the ninth lens may be concave in the paraxial region.


Additionally, at least one lens among the fifth to ninth lenses may have at least one inflection point formed on either one or both of the first surface and the second surface. For example, the first surface of the fifth lens may be convex in the paraxial region and concave in a peripheral region outside the paraxial region. The second surface of the fifth lens may be concave in the paraxial region and convex in a peripheral region outside the paraxial region.


Each of the first lens and the second lens may have an Abbe number greater than 54 and less than 57. Furthermore, the third lens may have an Abbe number greater than 18 and less than 24.


An Abbe number of the fourth lens may be greater than an Abbe number of the third lens. Additionally, a sum of the Abbe number of the third lens and the Abbe number of the fifth lens may be less than the Abbe number of the fourth lens.


The fifth lens may have a refractive index greater than 1.64 and an Abbe number less than 21.


Two of the fifth to seventh lenses may have a refractive index greater than 1.61 and an Abbe number less than 26.


An Abbe number of the seventh lens may be less than an Abbe number of the eighth lens and less than an Abbe number of the ninth lens.


A focal length of the second lens may be less than an absolute value of a focal length of the third lens, and the absolute value of the focal length of the third lens may be less than a focal length of the first lens.


An optical imaging system according to an embodiment of the present disclosure may be configured to have a field of view greater than 80°. In an embodiment, the field of view of the optical imaging system may be less than 85°.



FIG. 1 is a structural view of an optical imaging system according to a first embodiment of the present disclosure, and FIG. 2 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 1.


Referring to FIG. 1, an optical imaging system 100 according to the first embodiment of the present disclosure includes a first lens 101, a second lens 102, a third lens 103, a fourth lens 104, a fifth lens 105, a sixth lens 106, a seventh lens 107, an eighth lens 108, and a ninth lens 109, and may further include a filter 110 and an image sensor IS.


The optical imaging system 100 according to the first embodiment of the present disclosure may form a focus on an imaging surface 111. The imaging surface 111 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 111 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 1 below.















TABLE 1





Surface

Radius of
Thickness or
Index of
Abbe
Focal


Number
Element
Curvature
Distance
Refraction
Number
Length





















S1
First
3.110
0.374
1.544
55.99
37.06


S2
Lens
3.519
0.111


S3
Second
3.338
0.949
1.544
55.99
6.36


S4
Lens
75.139
0.033


S5
Third
16.743
0.210
1.639
23.49
−9.72


S6
Lens
4.541
0.226


S7
Fourth
5.762
0.388
1.544
55.99
21.7


S8
Lens
10.941
0.609


S9
Fifth
51.940
0.401
1.671
19.24
−52.34


S10
Lens
21.033
0.402


S11
Sixth
39.872
0.480
1.544
55.99
−66.59


S12
Lens
18.943
0.163


S13
Seventh
−6.448
0.380
1.614
25.94
−90.53


S14
Lens
−7.449
0.060


S15
Eighth
2.156
0.538
1.544
55.99
7.89


S16
Lens
3.937
1.228


S17
Ninth
32.913
0.400
1.535
55.74
−5.95


S18
Lens
2.900
0.306


S19
Filter
Infinity
0.210
1.517
64.20


S20

Infinity
0.775


S21
Imaging
Infinity



Surface









A total focal length f of the optical imaging system 100 according to the first embodiment of the present disclosure is 6.8357 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.8°, SWA11 is 19.045°, SWA21 is 33.395°, and f12 is 5.671 mm.


In the first embodiment of the present disclosure, the first lens 101 has a positive refractive power, a first surface of the first lens 101 is convex in the paraxial region, and the second surface of the first lens 101 is concave in the paraxial region.


The second lens 102 has a positive refractive power, a first surface of the second lens 102 is convex in the paraxial region, and a second surface of the second lens 102 is concave in the paraxial region.


The third lens 103 has a negative refractive power, a first surface of the third lens 103 is convex in the paraxial region, and a second surface of the third lens 103 is concave in the paraxial region.


The fourth lens 104 has a positive refractive power, a first surface of the fourth lens 104 is convex in the paraxial region, and a second surface of the fourth lens 104 is concave in the paraxial region.


The fifth lens 105 has a negative refractive power, a first surface of the fifth lens 105 is convex in the paraxial region, and a second surface of the fifth lens 105 is concave in the paraxial region.


The sixth lens 106 has a negative refractive power, a first surface of the sixth lens 106 is convex in the paraxial region, and a second surface of the sixth lens 106 is concave in the paraxial region.


The seventh lens 107 has a negative refractive power, a first surface of the seventh lens 107 is concave in the paraxial region, and a second surface of the seventh lens 107 is convex in the paraxial region.


The eighth lens 108 has a positive refractive power, a first surface of the eighth lens 108 is convex in the paraxial region, and a second surface of the eighth lens 108 is concave in the paraxial region.


The ninth lens 109 has a negative refractive power, a first surface of the ninth lens 109 is convex in the paraxial region, and a second surface of the ninth lens 109 is concave in the paraxial region.


Additionally, one or more of the fifth lens 105 to the ninth lens 109 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 101 to the ninth lens 109 has aspherical coefficients as illustrated in Table 2 below. For example, both an object-side surface and an image-side surface of each of the first lens 101 to the ninth lens 109 are aspherical surfaces.















TABLE 2








S1
S2
S3
S4
S5
S6





Conic
−5.517
−12.092
−4.259
99.000
20.052
4.565


Constant (K)


Fourth
 1.933E−02
 1.397E−02
−2.160E−03
 4.518E−02
 3.735E−02
 6.053E−03


Coefficient (A)


Sixth
−3.085E−02
−4.567E−02
 1.093E−03
−2.702E−01
−2.608E−01
−1.387E−01


Coefficient (B)


Eighth
 6.061E−02
 1.079E−01
−8.651E−03
 7.191E−01
 7.711E−01
 5.715E−01


Coefficient (C)


Tenth
−9.012E−02
−1.882E−01
 4.058E−02
−1.197E+00
−1.430E+00
−1.469E+00


Coefficient (D)


Twelfth
 9.244E−02
 2.266E−01
−8.070E−02
 1.352E+00
 1.814E+00
 2.542E+00


Coefficient (E)


Fourteenth
−6.691E−02
−1.899E−01
 9.668E−02
−1.077E+00
−1.632E+00
−3.073E+00


Coefficient (F)


Sixteenth
 3.473E−02
 1.132E−01
−7.649E−02
 6.190E−01
 1.064E+00
 2.656E+00


Coefficient (G)


Eighteenth
−1.303E−02
−4.860E−02
 4.166E−02
−2.594E−01
−5.069E−01
−1.659E+00


Coefficient (H)


Twentieth
 3.526E−03
 1.508E−02
−1.590E−02
 7.928E−02
 1.766E−01
 7.502E−01


Coefficient (J)


Twenty-Second
−6.799E−04
−3.351E−03
 4.248E−03
−1.746E−02
−4.441E−02
−2.429E−01


Coefficient (L)


Twenty-Fourth
 9.075E−05
 5.199E−04
−7.795E−04
 2.697E−03
 7.846E−03
 5.487E−02


Coefficient (M)


Twenty-Sixth
−7.927E−06
−5.349E−05
 9.363E−05
−2.768E−04
−9.231E−04
−8.209E−03


Coefficient (N)


Twenty-Eighth
 4.050E−07
 3.279E−06
−6.632E−06
 1.694E−05
 6.490E−05
 7.306E−04


Coefficient (O)


Thirtieth
−9.087E−09
−9.062E−08
 2.101E−07
−4.671E−07
−2.061E−06
−2.928E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−8.237
−64.854
−99.000
−74.600
56.326
10.586


Constant (K)


Fourth
 6.270E−04
−7.096E−03
−2.960E−02
−3.370E−02
−6.276E−02
−9.275E−02


Coefficient (A)


Sixth
−2.500E−02
 3.036E−02
 8.598E−04
 1.322E−02
 2.811E−02
 3.620E−02


Coefficient (B)


Eighth
 8.655E−02
−1.314E−01
−1.213E−02
−2.175E−02
 1.989E−02
−2.576E−03


Coefficient (C)


Tenth
−2.104E−01
 3.452E−01
 6.403E−02
 4.314E−02
−7.486E−02
−1.521E−02


Coefficient (D)


Twelfth
 3.705E−01
−6.140E−01
−1.705E−01
−7.246E−02
 1.075E−01
 2.160E−02


Coefficient (E)


Fourteenth
−4.723E−01
 7.734E−01
 2.710E−01
 8.448E−02
−1.015E−01
−1.850E−02


Coefficient (F)


Sixteenth
 4.370E−01
−7.059E−01
−2.839E−01
−6.799E−02
 6.806E−02
 1.056E−02


Coefficient (G)


Eighteenth
−2.933E−01
 4.714E−01
 2.058E−01
 3.854E−02
−3.309E−02
−4.114E−03


Coefficient (H)


Twentieth
 1.420E−01
−2.302E−01
−1.052E−01
−1.556E−02
 1.170E−02
 1.106E−03


Coefficient (J)


Twenty-Second
−4.898E−02
 8.115E−02
 3.798E−02
 4.456E−03
−2.975E−03
−2.049E−04


Coefficient (L)


Twenty-Fourth
 1.171E−02
−2.009E−02
−9.480E−03
−8.856E−04
 5.298E−04
 2.555E−05


Coefficient (M)


Twenty-Sixth
−1.841E−03
 3.313E−03
 1.560E−03
 1.163E−04
−6.263E−05
−2.032E−06


Coefficient (N)


Twenty-Eighth
 1.710E−04
−3.264E−04
−1.524E−04
−9.078E−06
 4.412E−06
 9.185E−08


Coefficient (O)


Thirtieth
−7.110E−06
 1.453E−05
 6.705E−06
 3.196E−07
−1.400E−07
−1.755E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.384
2.029
−7.436
−13.027
24.864
−13.487


Constant (K)


Fourth
 5.179E−02
3.583E−03
 2.902E−03
3.067E−02
−9.969E−02
−5.050E−02


Coefficient (A)


Sixth
−6.312E−02
3.551E−03
−3.912E−03
−1.869E−02 
 4.168E−02
 1.934E−02


Coefficient (B)


Eighth
 5.710E−02
−1.512E−02 
−8.030E−03
3.714E−03
−1.419E−02
−6.175E−03


Coefficient (C)


Tenth
−4.232E−02
1.856E−02
 9.321E−03
6.853E−04
 3.807E−03
 1.538E−03


Coefficient (D)


Twelfth
 2.845E−02
−1.277E−02 
−5.497E−03
−7.614E−04 
−7.331E−04
−2.929E−04


Coefficient (E)


Fourteenth
−1.715E−02
5.554E−03
 2.082E−03
2.757E−04
 9.751E−05
 4.239E−05


Coefficient (F)


Sixteenth
 8.223E−03
−1.628E−03 
−5.427E−04
−6.057E−05 
−8.838E−06
−4.670E−06


Coefficient (G)


Eighteenth
−2.901E−03
3.330E−04
 1.000E−04
8.955E−06
 5.329E−07
 3.917E−07


Coefficient (H)


Twentieth
 7.334E−04
−4.828E−05 
−1.308E−05
−9.169E−07 
−1.975E−08
−2.476E−08


Coefficient (J)


Twenty-Second
−1.310E−04
4.946E−06
 1.197E−06
6.489E−08
 3.144E−10
 1.153E−09


Coefficient (L)


Twenty-Fourth
 1.617E−05
−3.499E−07 
−7.415E−08
−3.091E−09 
 6.957E−12
−3.808E−11


Coefficient (M)


Twenty-Sixth
−1.314E−06
1.624E−08
 2.921E−09
9.344E−11
−4.755E−13
 8.394E−13


Coefficient (N)


Twenty-Eighth
 6.345E−08
−4.439E−10 
−6.465E−11
−1.584E−12 
 9.821E−15
−1.102E−14


Coefficient (O)


Thirtieth
−1.380E−09
5.392E−12
 5.888E−13
1.100E−14
−7.627E−17
 6.493E−17


Coefficient (P)









Additionally, the optical imaging system 100 configured as described above may have the aberration characteristics illustrated in FIG. 2.



FIG. 3 is a structural view of an optical imaging system according to a second embodiment of the present disclosure, and FIG. 4 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 3.


Referring to FIG. 3, an optical imaging system 200 according to the second embodiment of the present disclosure includes a first lens 201, a second lens 202, a third lens 203, a fourth lens 204, a fifth lens 205, a sixth lens 206, a seventh lens 207, an eighth lens 208, and a ninth lens 209, and may further include a filter 210 and an image sensor IS.


The optical imaging system 200 according to a second embodiment of the present disclosure may form a focus on an imaging surface 211. The imaging surface 211 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 211 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 3 below.















TABLE 3





Surface

Radius of
Thickness or
Index of
Abbe
Focal


Number
Element
Curvature
Distance
Refraction
Number
Length





















S1
First
3.111
0.360
1.544
55.99
33.0131


S2
Lens
3.605
0.120


S3
Second
3.415
0.947
1.544
55.99
6.5329


S4
Lens
71.440
0.031


S5
Third
16.549
0.210
1.639
23.49
−9.7654


S6
Lens
4.542
0.218


S7
Fourth
5.828
0.396
1.544
55.99
21.461


S8
Lens
11.311
0.616


S9
Fifth
53.474
0.397
1.671
19.24
−49.099


S10
Lens
20.472
0.408


S11
Sixth
51.314
0.480
1.544
55.99
−49.6532


S12
Lens
17.687
0.160


S13
Seventh
−6.868
0.380
1.614
25.94
397.9142


S14
Lens
−6.824
0.060


S15
Eighth
2.211
0.526
1.544
55.99
8.3442


S16
Lens
3.931
1.246


S17
Ninth
32.726
0.400
1.535
55.74
−5.8621


S18
Lens
2.860
0.306


S19
Filter
Infinity
0.210
1.517
64.20


S20

Infinity
0.750


S21
Imaging
Infinity



Surface









A total focal length f of the optical imaging system 200 according to the second embodiment of the present disclosure is 6.8353 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.011°, SWA21 is 32.83°, and f12 is 5.684 mm.


In the second embodiment of the present disclosure, the first lens 201 has a positive refractive power, a first surface of the first lens 201 is convex in the paraxial region, and a second surface of the first lens 201 is concave in the paraxial region.


The second lens 202 has a positive refractive power, a first surface of the second lens 202 is convex in the paraxial region, and a second surface of the second lens 202 is concave in the paraxial region.


The third lens 203 has a negative refractive power, a first surface of the third lens 203 is convex in the paraxial region, and a second surface of the third lens 203 is concave in the paraxial region.


The fourth lens 204 has a positive refractive power, a first surface of the fourth lens 204 is convex in the paraxial region, and a second surface of the fourth lens 204 is concave in the paraxial region.


The fifth lens 205 has a negative refractive power, a first surface of the fifth lens 205 is convex in the paraxial region, and the second surface of the fifth lens 205 is concave in the paraxial region.


The sixth lens 206 has a negative refractive power, a first surface of the sixth lens 206 is convex in the paraxial region, and a second surface of the sixth lens 206 is concave in the paraxial region.


The seventh lens 207 has a positive refractive power, a first surface of the seventh lens 207 is concave in the paraxial region, and a second surface of the seventh lens 207 is convex in the paraxial region.


The eighth lens 208 has a positive refractive power, a first surface of the eighth lens 208 is convex in the paraxial region, and a second surface of the eighth lens 208 is concave in the paraxial region.


The ninth lens 209 has a negative refractive power, a first surface of the ninth lens 209 is convex in the paraxial region, and a second surface of the ninth lens 209 is concave in the paraxial region.


Additionally, one or more of the fifth lens 205 to the ninth lens 209 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 201 to the ninth lens 209 has aspherical coefficients as illustrated in Table 4 below. For example, both an object-side surface and an image-side surface of each of the first lens 201 to the ninth lens 209 are aspherical surfaces.















TABLE 4








S1
S2
S3
S4
S5
S6





Conic
−5.543
−12.191
−4.288
99.000
20.386
4.567


Constant (K)


Fourth
 1.651E−02
 6.602E−03
−4.429E−03
 4.482E−02
 3.687E−02
 6.654E−03


Coefficient (A)


Sixth
−1.679E−02
−6.928E−03
 1.561E−02
−2.676E−01
−2.507E−01
−1.415E−01


Coefficient (B)


Eighth
 2.552E−02
−5.854E−04
−4.678E−02
 7.134E−01
 7.258E−01
 5.679E−01


Coefficient (C)


Tenth
−3.526E−02
 2.583E−03
 9.632E−02
−1.197E+00
−1.323E+00
−1.430E+00


Coefficient (D)


Twelfth
 3.429E−02
 8.181E−04
−1.282E−01
 1.371E+00
 1.654E+00
 2.435E+00


Coefficient (E)


Fourteenth
−2.345E−02
−2.703E−03
 1.178E−01
−1.113E+00
−1.471E+00
−2.902E+00


Coefficient (F)


Sixteenth
 1.135E−02
 1.629E−03
−7.671E−02
 6.546E−01
 9.484E−01
 2.473E+00


Coefficient (G)


Eighteenth
−3.889E−03
−2.711E−04
 3.588E−02
−2.818E−01
−4.474E−01
−1.523E+00


Coefficient (H)


Twentieth
 9.383E−04
−1.533E−04
−1.207E−02
 8.876E−02
 1.542E−01
 6.788E−01


Coefficient (J)


Twenty-Second
−1.561E−04
 1.041E−04
 2.893E−03
−2.021E−02
−3.834E−02
−2.166E−01


Coefficient (L)


Twenty-Fourth
 1.713E−05
−2.894E−05
−4.815E−04
 3.236E−03
 6.689E−03
 4.819E−02


Coefficient (M)


Twenty-Sixth
−1.131E−06
 4.431E−06
 5.284E−05
−3.454E−04
−7.760E−04
−7.100E−03


Coefficient (N)


Twenty-Eighth
 3.612E−08
−3.661E−07
−3.435E−06
 2.206E−05
 5.371E−05
 6.222E−04


Coefficient (O)


Thirtieth
−2.142E−10
 1.282E−08
 1.002E−07
−6.373E−07
−1.677E−06
−2.455E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−7.809
−60.948
−99.000
−62.976
−75.590
−18.647


Constant (K)


Fourth
−4.195E−04
−7.097E−03
−2.946E−02
−3.361E−02
−6.071E−02
−9.348E−02


Coefficient (A)


Sixth
−1.922E−02
 2.705E−02
−6.101E−03
 1.284E−02
 1.309E−02
 1.598E−02


Coefficient (B)


Eighth
 5.087E−02
−1.206E−01
 2.572E−02
−1.998E−02
 7.193E−02
 4.342E−02


Coefficient (C)


Tenth
−8.708E−02
 3.290E−01
−5.090E−02
 4.026E−02
−1.746E−01
−5.710E−02


Coefficient (D)


Twelfth
 1.083E−01
−6.034E−01
 5.174E−02
−7.172E−02
 2.326E−01
 3.398E−02


Coefficient (E)


Fourteenth
−1.000E−01
 7.802E−01
−2.239E−02
 8.788E−02
−2.115E−01
−8.479E−03


Coefficient (F)


Sixteenth
 6.894E−02
−7.274E−01
−9.651E−03
−7.346E−02
 1.381E−01
−2.607E−03


Coefficient (G)


Eighteenth
−3.497E−02
 4.938E−01
 2.109E−02
 4.293E−02
−6.567E−02
 3.298E−03


Coefficient (H)


Twentieth
 1.271E−02
−2.438E−01
−1.538E−02
−1.778E−02
 2.277E−02
−1.490E−03


Coefficient (J)


Twenty-Second
−3.161E−03
 8.650E−02
 6.681E−03
 5.209E−03
−5.690E−03
 4.051E−04


Coefficient (L)


Twenty-Fourth
 4.961E−04
−2.146E−02
−1.876E−03
−1.056E−03
 9.969E−04
−7.108E−05


Coefficient (M)


Twenty-Sixth
−4.013E−05
 3.533E−03
 3.364E−04
 1.413E−04
−1.161E−04
 7.902E−06


Coefficient (N)


Twenty-Eighth
 3.647E−07
−3.466E−04
−3.525E−05
−1.122E−05
 8.070E−06
−5.076E−07


Coefficient (O)


Thirtieth
 1.216E−07
 1.533E−05
 1.653E−06
 4.009E−07
−2.530E−07
 1.436E−08


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.935
0.986
−7.142
−12.971
19.688
−14.329


Constant (K)


Fourth
 5.302E−02
1.676E−02
 4.567E−03
 2.769E−02
−1.066E−01
−5.198E−02


Coefficient (A)


Sixth
−9.232E−02
−2.303E−02 
−7.135E−03
−1.242E−02
 4.982E−02
 2.208E−02


Coefficient (B)


Eighth
 1.201E−01
2.041E−02
−3.836E−03
−2.528E−03
−1.948E−02
−7.997E−03


Coefficient (C)


Tenth
−1.092E−01
−1.170E−02 
 5.951E−03
 4.538E−03
 5.874E−03
 2.225E−03


Coefficient (D)


Twelfth
 7.080E−02
4.191E−03
−3.795E−03
−2.393E−03
−1.250E−03
−4.620E−04


Coefficient (E)


Fourteenth
−3.421E−02
−9.569E−04 
 1.518E−03
 7.683E−04
 1.845E−04
 7.142E−05


Coefficient (F)


Sixteenth
 1.260E−02
1.386E−04
−4.182E−04
−1.684E−04
−1.903E−05
−8.258E−06


Coefficient (G)


Eighteenth
−3.542E−03
−1.134E−05 
 8.231E−05
 2.618E−05
 1.382E−06
 7.148E−07


Coefficient (H)


Twentieth
 7.534E−04
1.262E−07
−1.165E−05
−2.920E−06
−7.036E−08
−4.596E−08


Coefficient (J)


Twenty-Second
−1.187E−04
9.112E−08
 1.174E−06
 2.321E−07
 2.458E−09
 2.154E−09


Coefficient (L)


Twenty-Fourth
 1.341E−05
−1.209E−08 
−8.183E−08
−1.283E−08
−5.604E−11
−7.115E−11


Coefficient (M)


Twenty-Sixth
−1.024E−06
7.985E−10
 3.738E−09
 4.686E−10
 7.467E−13
 1.564E−12


Coefficient (N)


Twenty-Eighth
 4.728E−08
−2.859E−11 
−1.005E−10
−1.015E−11
−4.257E−15
−2.046E−14


Coefficient (O)


Thirtieth
−9.956E−10
4.388E−13
 1.205E−12
 9.865E−14
−3.334E−18
 1.203E−16


Coefficient (P)









Additionally, the optical imaging system 200 configured as described above may have the aberration characteristics illustrated in FIG. 4.



FIG. 5 is a structural view of an optical imaging system according to a third embodiment of the present disclosure, and FIG. 6 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 5.


Referring to FIG. 5, an optical imaging system 300 according to the third embodiment of the present disclosure includes a first lens 301, a second lens 302, a third lens 303, a fourth lens 304, a fifth lens 305, a sixth lens 306, a seventh lens 307, an eighth lens 308, and a ninth lens 309, and may further include a filter 310 and an image sensor IS.


The optical imaging system 300 according to the third embodiment of the present disclosure may form a focus on an imaging surface 311. The imaging surface 311 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 311 may mean one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 5 below.















TABLE 5





Surface

Radius of
Thickness or
Index of
Abbe
Focal


Number
Element
Curvature
Distance
Refraction
Number
Length





















S1
First
3.110
0.373
1.544
55.99
39.1769


S2
Lens
3.485
0.106


S3
Second
3.306
0.945
1.544
55.99
6.328


S4
Lens
68.167
0.030


S5
Third
16.366
0.210
1.639
23.49
−9.7961


S6
Lens
4.538
0.227


S7
Fourth
5.740
0.386
1.544
55.99
22.8213


S8
Lens
10.386
0.601


S9
Fifth
34.291
0.401
1.671
19.24
−43.3858


S10
Lens
15.770
0.379


S11
Sixth
20.037
0.480
1.544
55.99
384.5405


S12
Lens
21.962
0.194


S13
Seventh
−6.002
0.389
1.614
25.94
−55.4949


S14
Lens
−7.450
0.080


S15
Eighth
2.148
0.509
1.544
55.99
8.1377


S16
Lens
3.807
1.226


S17
Ninth
33.026
0.413
1.535
55.74
−5.9489


S18
Lens
2.901
0.306


S19
Filter
Infinity
0.210
1.517
64.20


S20

Infinity
0.759


S21
Imaging
Infinity



Surface









A total focal length f of the optical imaging system 300 according to the third embodiment of the present disclosure is 6.8389 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.065°, SWA21 is 33.45°, and f12 is 5.688 mm.


In the third embodiment of the present disclosure, the first lens 301 has a positive refractive power, a first surface of the first lens 301 is convex in the paraxial region, and the second surface of the first lens 301 is concave in the paraxial region.


The second lens 302 has a refractive power, a first surface of the second lens 302 is convex in the paraxial region, and a second surface of the second lens 302 is concave in the paraxial region.


The third lens 303 has a negative refractive power, a first surface of the third lens 303 is convex in the paraxial region, and a second surface of the third lens 303 is concave in the paraxial region.


The fourth lens 304 has a positive refractive power, a first surface of the fourth lens 304 is convex in the paraxial region, and a second surface of the fourth lens 304 is concave in the paraxial region.


The fifth lens 305 has a negative refractive power, a first surface of the fifth lens 305 is convex in the paraxial region, and a second surface of the fifth lens 305 is concave in the paraxial region.


The sixth lens 306 has a positive refractive power, a first surface of the sixth lens 306 is convex in the paraxial region, and a second surface of the sixth lens 306 is concave in the paraxial region.


The seventh lens 307 has a negative refractive power, a first surface of the seventh lens 307 is concave in the paraxial region, and a second surface of the seventh lens 307 is convex in the paraxial region.


The eighth lens 308 has a positive refractive power, a first surface of the eighth lens 308 is convex in the paraxial region, and a second surface of the eighth lens 308 is concave in the paraxial region.


The ninth lens 309 has a negative refractive power, a first surface of the ninth lens 309 is convex in the paraxial region, and a second surface of the ninth lens 309 is concave in the paraxial region.


Additionally, one or more of the fifth lens 305 to the ninth lens 309 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 301 to the ninth lens 309 has aspherical coefficients as illustrated in Table 6 below. For example, both an object-side surface and an image-side surface of each of the first lens 301 to the ninth lens 309 are aspherical surfaces.















TABLE 6








S1
S2
S3
S4
S5
S6





Conic
−5.501
−12.068
−4.280
99.000
20.143
4.564


Constant (K)


Fourth
 1.906E−02
 1.496E−02
−2.475E−03
 4.505E−02
 3.907E−02
 7.771E−03


Coefficient (A)


Sixth
−2.864E−02
−4.466E−02
 6.414E−03
−2.771E−01
−2.780E−01
−1.496E−01


Coefficient (B)


Eighth
 5.465E−02
 9.758E−02
−2.996E−02
 7.423E−01
 8.251E−01
 6.072E−01


Coefficient (C)


Tenth
−8.236E−02
−1.679E−01
 8.128E−02
−1.230E+00
−1.517E+00
−1.533E+00


Coefficient (D)


Twelfth
 8.741E−02
 2.057E−01
−1.276E−01
 1.376E+00
 1.896E+00
 2.607E+00


Coefficient (E)


Fourteenth
−6.623E−02
−1.768E−01
 1.328E−01
−1.083E+00
−1.677E+00
−3.103E+00


Coefficient (F)


Sixteenth
 3.629E−02
 1.081E−01
−9.589E−02
 6.141E−01
 1.073E+00
 2.646E+00


Coefficient (G)


Eighteenth
−1.449E−02
−4.756E−02
 4.903E−02
−2.536E−01
−5.016E−01
−1.634E+00


Coefficient (H)


Twentieth
 4.210E−03
 1.511E−02
−1.786E−02
 7.623E−02
 1.713E−01
 7.317E−01


Coefficient (J)


Twenty-Second
−8.798E−04
−3.437E−03
 4.607E−03
−1.649E−02
−4.224E−02
−2.350E−01


Coefficient (L)


Twenty-Fourth
 1.287E−04
 5.459E−04
−8.218E−04
 2.499E−03
 7.315E−03
 5.271E−02


Coefficient (M)


Twenty-Sixth
−1.249E−05
−5.751E−05
 9.646E−05
−2.513E−04
−8.436E−04
−7.837E−03


Coefficient (N)


Twenty-Eighth
 7.209E−07
 3.609E−06
−6.702E−06
 1.504E−05
 5.814E−05
 6.937E−04


Coefficient (O)


Thirtieth
−1.873E−08
−1.021E−07
 2.089E−07
−4.049E−07
−1.811E−06
−2.767E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−8.362
−62.396
−97.868
−92.451
−71.434
45.581


Constant (K)


Fourth
 1.330E−03
−7.289E−03
−3.268E−02
−3.936E−02
−6.983E−02
−8.950E−02


Coefficient (A)


Sixth
−2.716E−02
 3.132E−02
 1.025E−02
 2.817E−02
 4.519E−02
 5.146E−02


Coefficient (B)


Eighth
 8.906E−02
−1.234E−01
−3.631E−02
−5.088E−02
−1.749E−02
−3.947E−02


Coefficient (C)


Tenth
−2.037E−01
 2.973E−01
 1.206E−01
 8.903E−02
−1.964E−02
 2.814E−02


Coefficient (D)


Twelfth
 3.390E−01
−4.896E−01
−2.729E−01
−1.271E−01
 5.213E−02
−1.207E−02


Coefficient (E)


Fourteenth
−4.137E−01
 5.775E−01
 4.055E−01
 1.325E−01
−6.261E−02
 7.593E−04


Coefficient (F)


Sixteenth
 3.709E−01
−4.995E−01
−4.108E−01
−9.891E−02
 4.873E−02
 2.111E−03


Coefficient (G)


Eighteenth
−2.434E−01
 3.199E−01
 2.918E−01
 5.314E−02
−2.636E−02
−1.277E−03


Coefficient (H)


Twentieth
 1.160E−01
−1.514E−01
−1.472E−01
−2.058E−02
 1.011E−02
 3.966E−04


Coefficient (J)


Twenty-Second
−3.955E−02
 5.222E−02
 5.251E−02
 5.690E−03
−2.745E−03
−7.735E−05


Coefficient (L)


Twenty-Fourth
 9.367E−03
−1.274E−02
−1.297E−02
−1.097E−03
 5.149E−04
 9.817E−06


Coefficient (M)


Twenty-Sixth
−1.462E−03
 2.083E−03
 2.112E−03
 1.400E−04
−6.347E−05
−7.868E−07


Coefficient (N)


Twenty-Eighth
 1.350E−04
−2.045E−04
−2.040E−04
−1.065E−05
 4.620E−06
 3.590E−08


Coefficient (O)


Thirtieth
−5.578E−06
 9.110E−06
 8.866E−06
 3.660E−07
−1.503E−07
−6.990E−10


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
2.796
1.969
−7.376
−12.771
26.625
−13.007


Constant (K)


Fourth
 4.894E−02
−5.015E−03
1.137E−03
3.056E−02
−9.704E−02
−4.941E−02


Coefficient (A)


Sixth
−4.557E−02
 1.683E−02
1.089E−03
−1.896E−02 
 3.922E−02
 1.841E−02


Coefficient (B)


Eighth
 2.830E−02
−2.990E−02
−1.373E−02 
4.072E−03
−1.270E−02
−5.607E−03


Coefficient (C)


Tenth
−1.675E−02
 2.956E−02
1.359E−02
6.619E−04
 3.294E−03
 1.333E−03


Coefficient (D)


Twelfth
 1.426E−02
−1.810E−02
−7.649E−03 
−8.621E−04 
−6.277E−04
−2.444E−04


Coefficient (E)


Fourteenth
−1.164E−02
 7.279E−03
2.830E−03
3.344E−04
 8.407E−05
 3.419E−05


Coefficient (F)


Sixteenth
 6.503E−03
−2.010E−03
−7.274E−04 
−7.777E−05 
−7.786E−06
−3.647E−06


Coefficient (G)


Eighteenth
−2.412E−03
 3.933E−04
1.330E−04
1.214E−05
 4.900E−07
 2.967E−07


Coefficient (H)


Twentieth
 6.092E−04
−5.537E−05
−1.736E−05 
−1.316E−06 
−1.997E−08
−1.824E−08


Coefficient (J)


Twenty-Second
−1.061E−04
 5.612E−06
1.601E−06
9.932E−08
 4.494E−10
 8.275E−10


Coefficient (L)


Twenty-Fourth
 1.265E−05
−4.019E−07
−1.014E−07 
−5.119E−09 
−1.039E−12
−2.667E−11


Coefficient (M)


Twenty-Sixth
−9.915E−07
 1.941E−08
4.167E−09
1.715E−10
−2.331E−13
 5.740E−13


Coefficient (N)


Twenty-Eighth
 4.628E−08
−5.703E−10
−9.955E−11 
−3.355E−12 
 5.889E−15
−7.355E−15


Coefficient (O)


Thirtieth
−9.788E−10
 7.730E−12
1.041E−12
2.900E−14
−4.909E−17
 4.228E−17


Coefficient (P)









Additionally, the optical imaging system 300 configured as described above may have the aberration characteristics illustrated in FIG. 6.



FIG. 7 is a structural view of an optical imaging system according to a fourth embodiment of the present disclosure, and FIG. 8 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 7.


Referring to FIG. 7, an optical imaging system 400 according to the fourth embodiment of the present disclosure includes a first lens 401, a second lens 402, a third lens 403, a fourth lens 404, a fifth lens 405, a sixth lens 406, a seventh lens 407, an eighth lens 408, and a ninth lens 409, and may further include a filter 410 and an image sensor IS.


The optical imaging system 400 according to the fourth embodiment of the present disclosure may form a focus on an imaging surface 411. The imaging surface 411 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 411 may mean one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 7 below.















TABLE 7





Surface

Radius of
Thickness or
Index of
Abbe
Focal


Number
Element
Curvature
Distance
Refraction
Number
Length





















S1
First
3.110
0.360
1.544
55.99
33.6544


S2
Lens
3.590
0.118


S3
Second
3.402
0.935
1.544
55.99
6.5579


S4
Lens
60.804
0.030


S5
Third
15.900
0.210
1.639
23.49
−9.9158


S6
Lens
4.540
0.217


S7
Fourth
5.736
0.392
1.544
55.99
22.8715


S8
Lens
10.346
0.614


S9
Fifth
37.651
0.405
1.671
19.24
−36.8572


S10
Lens
14.967
0.371


S11
Sixth
18.518
0.480
1.544
55.99
999.9999


S12
Lens
18.992
0.210


S13
Seventh
−6.599
0.381
1.614
25.94
9724.1446


S14
Lens
−6.737
0.086


S15
Eighth
2.264
0.499
1.544
55.99
8.9029


S16
Lens
3.906
1.245


S17
Ninth
33.093
0.400
1.535
55.74
−5.815


S18
Lens
2.842
0.306


S19
Filter
Infinity
0.210
1.517
64.20


S20

Infinity
0.753


S21
Imaging
Infinity



Surface









A total focal length f of the optical imaging system 400 according to the fourth embodiment of the present disclosure is 6.8354 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.074°, SWA21 is 32.851°, and f12 is 5.719 mm.


In the fourth embodiment of the present disclosure, the first lens 401 has a positive refractive power, a first surface of the first lens 401 is convex in the paraxial region, and a second surface of the first lens 401 is concave in the paraxial region.


The second lens 402 has a positive refractive power, a first surface of the second lens 402 is convex in the paraxial region, and a second surface of the second lens 402 is concave in the paraxial region.


The third lens 403 has a negative refractive power, a first surface of the third lens 403 is convex in the paraxial region, and a second surface of the third lens 403 is concave in the paraxial region.


The fourth lens 404 has a positive refractive power, a first surface of the fourth lens 404 is convex in the paraxial region, and a second surface of the fourth lens 404 is concave in the paraxial region.


The fifth lens 405 has a negative refractive power, a first surface of the fifth lens 405 is convex in the paraxial region, and a second surface of the fifth lens 405 is concave in the paraxial region.


The sixth lens 406 has a positive refractive power, a first surface of the sixth lens 406 is convex in the paraxial region, and a second surface of the sixth lens 406 is concave in the paraxial region.


The seventh lens 407 has a positive refractive power, a first surface of the seventh lens 407 is concave in the paraxial region, and a second surface of the seventh lens 407 is convex in the paraxial region.


The eighth lens 408 has a positive refractive power, a first surface of the eighth lens 408 is convex in the paraxial region, and a second surface of the eighth lens 408 is concave in the paraxial region.


The ninth lens 409 has a negative refractive power, a first surface of the ninth lens 409 is convex in the paraxial region, and a second surface of the ninth lens 409 is concave in the paraxial region.


Additionally, one or more of the fifth lens 405 to the ninth lens 409 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 401 to the ninth lens 409 has aspherical coefficients as illustrated in Table 8 below. For example, both an object-side surface and an image-side surface of each of the first lens 401 to the ninth lens 409 are aspherical surfaces.















TABLE 8








S1
S2
S3
S4
S5
S6





Conic
−5.507
−12.228
−4.316
99.000
20.303
4.566


Constant (K)


Fourth
1.577E−02
 6.349E−03
−4.697E−03
 4.584E−02
 3.690E−02
 5.456E−03


Coefficient (A)


Sixth
−1.297E−02 
−1.982E−03
 1.872E−02
−2.738E−01
−2.502E−01
−1.314E−01


Coefficient (B)


Eighth
1.575E−02
−1.814E−02
−5.739E−02
 7.276E−01
 7.176E−01
 5.251E−01


Coefficient (C)


Tenth
−2.017E−02 
 3.469E−02
 1.141E−01
−1.215E+00
−1.292E+00
−1.314E+00


Coefficient (D)


Twelfth
1.886E−02
−3.659E−02
−1.461E−01
 1.385E+00
 1.597E+00
 2.227E+00


Coefficient (E)


Fourteenth
−1.243E−02 
 2.734E−02
 1.295E−01
−1.120E+00
−1.404E+00
−2.647E+00


Coefficient (F)


Sixteenth
5.709E−03
−1.558E−02
−8.171E−02
 6.566E−01
 8.965E−01
 2.252E+00


Coefficient (G)


Eighteenth
−1.803E−03 
 6.852E−03
 3.718E−02
−2.818E−01
−4.190E−01
−1.387E+00


Coefficient (H)


Twentieth
3.799E−04
−2.286E−03
−1.221E−02
 8.847E−02
 1.431E−01
 6.181E−01


Coefficient (J)


Twenty-Second
−4.915E−05 
 5.611E−04
 2.864E−03
−2.008E−02
−3.529E−02
−1.974E−01


Coefficient (L)


Twenty-Fourth
2.852E−06
−9.717E−05
−4.676E−04
 3.206E−03
 6.108E−03
 4.397E−02


Coefficient (M)


Twenty-Sixth
1.302E−07
 1.117E−05
 5.042E−05
−3.413E−04
−7.032E−04
−6.488E−03


Coefficient (N)


Twenty-Eighth
−3.015E−08 
−7.615E−07
−3.226E−06
 2.174E−05
 4.832E−05
 5.697E−04


Coefficient (O)


Thirtieth
1.352E−09
 2.325E−08
 9.272E−08
−6.263E−07
−1.498E−06
−2.253E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−7.741
−54.430
−93.831
−84.155
−99.000
17.415


Constant (K)


Fourth
−2.530E−04
−8.295E−03
−3.246E−02
−4.144E−02
−7.024E−02
−9.570E−02


Coefficient (A)


Sixth
−2.360E−02
 3.521E−02
−1.547E−03
 3.337E−02
 3.498E−02
 5.092E−02


Coefficient (B)


Eighth
 7.032E−02
−1.465E−01
 2.507E−02
−6.136E−02
 2.754E−02
−2.338E−02


Coefficient (C)


Tenth
−1.329E−01
 3.813E−01
−5.897E−02
 1.069E−01
−1.112E−01
 1.350E−02


Coefficient (D)


Twelfth
 1.788E−01
−6.730E−01
 6.453E−02
−1.524E−01
 1.677E−01
−1.817E−02


Coefficient (E)


Fourteenth
−1.761E−01
 8.404E−01
−2.896E−02
 1.603E−01
−1.627E−01
 2.162E−02


Coefficient (F)


Sixteenth
 1.286E−01
−7.593E−01
−1.385E−02
−1.215E−01
 1.107E−01
−1.670E−02


Coefficient (G)


Eighteenth
−6.961E−02
 5.012E−01
 3.015E−02
 6.643E−02
−5.428E−02
 8.558E−03


Coefficient (H)


Twentieth
 2.765E−02
−2.413E−01
−2.228E−02
−2.620E−02
 1.928E−02
−2.998E−03


Coefficient (J)


Twenty-Second
−7.901E−03
 8.375E−02
 9.766E−03
 7.385E−03
−4.913E−03
 7.241E−04


Coefficient (L)


Twenty-Fourth
 1.571E−03
−2.037E−02
−2.749E−03
−1.450E−03
 8.755E−04
−1.188E−04


Coefficient (M)


Twenty-Sixth
−2.049E−04
 3.296E−03
 4.906E−04
 1.886E−04
−1.035E−04
 1.264E−05


Coefficient (N)


Twenty-Eighth
 1.561E−05
−3.185E−04
−5.087E−05
−1.460E−05
 7.286E−06
−7.881E−07


Coefficient (O)


Thirtieth
−5.200E−07
 1.390E−05
 2.346E−06
 5.093E−07
−2.310E−07
 2.181E−08


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.547
0.894
−6.898
−12.537
21.738
−13.889


Constant (K)


Fourth
 3.844E−02
 8.849E−03
 5.497E−03
 2.827E−02
−1.063E−01
−5.188E−02


Coefficient (A)


Sixth
−4.192E−02
−5.737E−03
−6.243E−03
−1.395E−02
 4.896E−02
 2.166E−02


Coefficient (B)


Eighth
 4.583E−02
−1.591E−03
−6.030E−03
−1.180E−03
−1.907E−02
−7.689E−03


Coefficient (C)


Tenth
−4.504E−02
 5.763E−03
 8.156E−03
 4.047E−03
 5.873E−03
 2.120E−03


Coefficient (D)


Twelfth
 3.428E−02
−5.136E−03
−5.026E−03
−2.327E−03
−1.295E−03
−4.386E−04


Coefficient (E)


Fourteenth
−1.954E−02
 2.606E−03
 1.951E−03
 7.800E−04
 1.999E−04
 6.752E−05


Coefficient (F)


Sixteenth
 8.237E−03
−8.730E−04
−5.205E−04
−1.753E−04
−2.173E−05
−7.771E−06


Coefficient (G)


Eighteenth
−2.554E−03
 2.056E−04
 9.892E−05
 2.768E−05
 1.681E−06
 6.699E−07


Coefficient (H)


Twentieth
 5.792E−04
−3.487E−05
−1.352E−05
−3.115E−06
−9.275E−08
−4.294E−08


Coefficient (J)


Twenty-Second
−9.496E−05
 4.253E−06
 1.317E−06
 2.488E−07
 3.616E−09
 2.008E−09


Coefficient (L)


Twenty-Fourth
 1.096E−05
−3.636E−07
−8.911E−08
−1.378E−08
−9.695E−11
−6.622E−11


Coefficient (M)


Twenty-Sixth
−8.440E−07
 2.064E−08
 3.969E−09
 5.034E−10
 1.691E−12
 1.453E−12


Coefficient (N)


Twenty-Eighth
 3.895E−08
−6.963E−10
−1.045E−10
−1.089E−11
−1.714E−14
−1.897E−14


Coefficient (O)


Thirtieth
−8.143E−10
 1.054E−11
 1.233E−12
 1.057E−13
 7.556E−17
 1.113E−16


Coefficient (P)









Additionally, the optical imaging system 400 configured as described above may have the aberration characteristics illustrated in FIG. 8.



FIG. 9 is a structural view of an optical imaging system according to a fifth embodiment of the present disclosure, and FIG. 10 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 9.


Referring to FIG. 9, an optical imaging system 500 according to the fifth embodiment of the present disclosure includes a first lens 501, a second lens 502, a third lens 503, a fourth lens 504, a fifth lens 505, a sixth lens 506, a seventh lens 507, an eighth lens 508, and a ninth lens 509, and may further include a filter 510 and an image sensor IS.


The optical imaging system 500 according to the fifth embodiment of the present disclosure may form a focus on an imaging surface 511. The imaging surface 511 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 511 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 9 below.















TABLE 9








Thickness
Index of
Abbe



Surface

Radius of
or
Re-
Num-
Focal


Number
Element
Curvature
Distance
fraction
ber
Length





















S1
First
3.111
0.377
1.544
55.99
36.95


S2
Lens
3.520
0.108





S3
Second
3.339
0.955
1.544
55.99
6.24


S4
Lens
143.471
0.030





S5
Third
18.735
0.210
1.639
23.49
−9.34


S6
Lens
4.541
0.224





S7
Fourth
5.688
0.378
1.544
55.99
25.3


S8
Lens
9.438
0.548





S9
Fifth
18.995
0.389
1.671
19.24
300


S10
Lens
20.776
0.528





S11
Sixth
169.106
0.480
1.544
55.99
−51.59


S12
Lens
24.136
0.103





S13
Seventh
−6.061
0.421
1.614
25.94
−42.51


S14
Lens
−8.081
0.060





S15
Eighth
2.225
0.566
1.544
55.99
7.78


S16
Lens
4.252
1.171





S17
Ninth
31.937
0.401
1.535
55.74
−5.94


S18
Lens
2.886
0.306





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.779





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 500 according to the fifth embodiment of the present disclosure is 6.84 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.09°, SWA21 is 33.324°, and f12 is 5.580 mm.


In the fifth embodiment of the present disclosure, the first lens 501 has a positive refractive power, a first surface of the first lens 501 is convex in the paraxial region, and a second surface of the first lens 501 is concave in the paraxial region.


The second lens 502 has a positive refractive power, a first surface of the second lens 502 is convex in the paraxial region, and a second surface of the second lens 502 is concave in the paraxial region.


The third lens 503 has a negative refractive power, a first surface of the third lens 503 is convex in the paraxial region, and a second surface of the third lens 503 is concave in the paraxial region.


The fourth lens 504 has a positive refractive power, a first surface of the fourth lens 504 is convex in the paraxial region, and a second surface of the fourth lens 504 is concave in the paraxial region.


The fifth lens 505 has a positive refractive power, a first surface of the fifth lens 505 is convex in the paraxial region, and a second surface of the fifth lens 505 is concave in the paraxial region.


The sixth lens 506 has a negative refractive power, a first surface of the sixth lens 506 is convex in the paraxial region, and a second surface of the sixth lens 506 is concave in the paraxial region.


The seventh lens 507 has a negative refractive power, a first surface of the seventh lens 507 is concave in the paraxial region, and a second surface of the seventh lens 507 is convex in the paraxial region.


The eighth lens 508 has a positive refractive power, a first surface of the eighth lens 508 is convex in the paraxial region, and a second surface of the eighth lens 508 is concave in the paraxial region.


The ninth lens 509 has a negative refractive power, a first surface of the ninth lens 509 is convex in the paraxial region, and a second surface of the ninth lens 509 is concave in the paraxial region.


Additionally, one or more of the fifth lens 505 to the ninth lens 509 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 501 to the ninth lens 509 has aspherical coefficients as illustrated in Table 10 below. For example, both an object-side surface and an image-side surface of each of the first lens 501 to the ninth lens 509 are aspherical surfaces.















TABLE 10








S1
S2
S3
S4
S5
S6





Conic
−5.485
−12.131
−4.262
99.000
18.032
4.563


Constant (K)








Fourth
 1.676E−02
 1.410E−02
−2.990E−03
 4.283E−02
 3.883E−02
 6.741E−03


Coefficient (A)








Sixth
−1.518E−02
−3.946E−02
 1.230E−02
−2.564E−01
−2.596E−01
−1.259E−01


Coefficient (B)








Eighth
 1.492E−02
 7.996E−02
−5.401E−02
 6.621E−01
 7.400E−01
 5.075E−01


Coefficient (C)








Tenth
−1.231E−02
−1.321E−01
 1.367E−01
−1.069E+00
−1.342E+00
−1.322E+00


Coefficient (D)








Twelfth
 6.931E−03
 1.600E−01
−2.074E−01
 1.178E+00
 1.684E+00
 2.342E+00


Coefficient (E)








Fourteenth
−2.636E−03
−1.382E−01
 2.097E−01
−9.208E−01
−1.514E+00
−2.902E+00


Coefficient (F)








Sixteenth
 5.880E−04
 8.536E−02
−1.477E−01
 5.217E−01
 9.909E−01
 2.563E+00


Coefficient (G)








Eighteenth
−5.600E−06
−3.799E−02
 7.394E−02
−2.163E−01
−4.759E−01
−1.632E+00


Coefficient (H)








Twentieth
−4.864E−05
 1.220E−02
−2.650E−02
 6.557E−02
 1.673E−01
 7.495E−01


Coefficient (J)








Twenty-Second
 1.902E−05
−2.800E−03
 6.744E−03
−1.436E−02
−4.252E−02
−2.459E−01


Coefficient (L)








Twenty-Fourth
−3.994E−06
 4.480E−04
−1.190E−03
 2.209E−03
 7.594E−03
 5.616E−02


Coefficient (M)








Twenty-Sixth
 5.088E−07
−4.747E−05
 1.385E−04
−2.262E−04
−9.031E−04
−8.478E−03


Coefficient (N)








Twenty-Eighth
−3.717E−08
 2.993E−06
−9.548E−06
 1.383E−05
 6.416E−05
 7.602E−04


Coefficient (O)








Thirtieth
 1.202E−09
−8.500E−08
 2.956E−07
−3.816E−07
−2.058E−06
−3.065E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−8.494
−66.585
−64.824
−58.979
73.942
6.485


Constant (K)








Fourth
 3.012E−03
−6.971E−03
−3.695E−02
−3.093E−02
−5.359E−02
−8.818E−02


Coefficient (A)








Sixth
−4.356E−02
 3.073E−02
 5.317E−02
 1.222E−02
 1.794E−02
 2.373E−02


Coefficient (B)








Eighth
 1.590E−01
−1.320E−01
−2.122E−01
−2.338E−02
 2.630E−02
−7.231E−03


Coefficient (C)








Tenth
−3.947E−01
 3.337E−01
 5.580E−01
 3.842E−02
−7.630E−02
 2.565E−02


Coefficient (D)








Twelfth
 6.926E−01
−5.621E−01
−1.001E+00
−5.195E−02
 1.064E−01
−3.891E−02


Coefficient (E)








Fourteenth
−8.685E−01
 6.660E−01
 1.256E+00
 5.212E−02
−1.013E−01
 3.098E−02


Coefficient (F)








Sixteenth
 7.851E−01
−5.712E−01
−1.125E+00
−3.791E−02
 6.958E−02
−1.585E−02


Coefficient (G)








Eighteenth
−5.135E−01
 3.597E−01
 7.296E−01
 2.009E−02
−3.481E−02
 5.656E−03


Coefficient (H)








Twentieth
 2.423E−01
−1.666E−01
−3.429E−01
−7.787E−03
 1.265E−02
−1.456E−03


Coefficient (J)








Twenty-Second
−8.152E−02
 5.614E−02
 1.157E−01
 2.191E−03
−3.292E−03
 2.710E−04


Coefficient (L)








Twenty-Fourth
 1.904E−02
−1.339E−02
−2.733E−02
−4.368E−04
 5.967E−04
−3.571E−05


Coefficient (M)








Twenty-Sixth
−2.929E−03
 2.145E−03
 4.288E−03
 5.864E−05
−7.142E−05
 3.168E−06


Coefficient (N)








Twenty-Eighth
 2.669E−04
−2.068E−04
−4.015E−04
−4.762E−06
 5.067E−06
−1.697E−07


Coefficient (O)








Thirtieth
−1.090E−05
 9.077E−06
 1.698E−05
 1.769E−07
−1.612E−07
 4.146E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.086
1.794
−7.620
−13.751
24.857
−13.913


Constant (K)








Fourth
 5.434E−02
 7.348E−03
 1.745E−03
 2.491E−02
−1.019E−01
−5.109E−02


Coefficient (A)








Sixth
−7.687E−02
 3.468E−03
 2.252E−04
−7.978E−03
 4.646E−02
 2.147E−02


Coefficient (B)








Eighth
 7.030E−02
−1.990E−02
−1.318E−02
−6.227E−03
−1.707E−02
−7.559E−03


Coefficient (C)








Tenth
−3.905E−02
 2.487E−02
 1.230E−02
 6.174E−03
 4.713E−03
 2.034E−03


Coefficient (D)








Twelfth
 1.251E−02
−1.729E−02
−6.388E−03
−2.751E−03
−9.038E−04
−4.116E−04


Coefficient (E)








Fourteenth
−2.221E−03
 7.704E−03
 2.189E−03
 7.763E−04
 1.175E−04
 6.258E−05


Coefficient (F)








Sixteenth
 2.975E−04
−2.350E−03
−5.253E−04
−1.507E−04
−1.022E−05
−7.166E−06


Coefficient (G)








Eighteenth
−1.263E−04
 5.081E−04
 9.023E−05
 2.073E−05
 5.704E−07
 6.167E−07


Coefficient (H)








Twentieth
 5.961E−05
−7.901E−05
−1.108E−05
−2.033E−06
−1.732E−08
−3.948E−08


Coefficient (J)








Twenty-Second
−1.629E−05
 8.801E−06
 9.533E−07
 1.406E−07
 8.131E−12
 1.842E−09


Coefficient (L)








Twenty-Fourth
 2.685E−06
−6.863E−07
−5.496E−08
−6.662E−09
 2.230E−11
−6.054E−11


Coefficient (M)








Twenty-Sixth
−2.709E−07
 3.560E−08
 1.959E−09
 2.040E−10
−9.062E−13
 1.322E−12


Coefficient (N)








Twenty-Eighth
 1.558E−08
−1.103E−09
−3.656E−11
−3.591E−12
 1.646E−14
−1.716E−14


Coefficient (O)








Thirtieth
−3.942E−10
 1.547E−11
 2.243E−13
 2.705E−14
−1.203E−16
 9.996E−17


Coefficient (P)









Additionally, the optical imaging system 500 configured as described above may have the aberration characteristics illustrated in FIG. 10.



FIG. 11 is a structural view of an optical imaging system according to a sixth embodiment of the present disclosure, and FIG. 12 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 11.


Referring to FIG. 11, an optical imaging system 600 according to the sixth embodiment of the present disclosure includes a first lens 601, a second lens 602, a third lens 603, a fourth lens 604, a fifth lens 605, a sixth lens 606, a seventh lens 607, an eighth lens 608, and a ninth lens 609, and may further include a filter 610 and an image sensor IS.


The optical imaging system 600 according to the sixth embodiment of the present disclosure may form a focus on an imaging surface 611. The imaging surface 611 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 611 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 11 below.















TABLE 11





Surface

Radius of
Thickness or
Index of
Abbe
Focal


Number
Element
Curvature
Distance
Refraction
Number
Length





















S1
First
3.112
0.376
1.544
55.99
42.53


S2
Lens
3.440
0.111





S3
Second
3.267
0.959
1.544
55.99
6.08


S4
Lens
173.268
0.030





S5
Third
19.173
0.210
1.639
23.49
−9.27


S6
Lens
4.540
0.233





S7
Fourth
5.977
0.377
1.544
55.99
25.49


S8
Lens
10.239
0.541





S9
Fifth
15.166
0.365
1.671
19.24
500


S10
Lens
15.720
0.566





S11
Sixth
191.196
0.480
1.544
55.99
−37.86


S12
Lens
18.648
0.114





S13
Seventh
−6.614
0.384
1.614
25.94
500


S14
Lens
−6.620
0.060





S15
Eighth
2.438
0.596
1.544
55.99
9.05


S16
Lens
4.394
1.150





S17
Ninth
31.435
0.400
1.535
55.74
−6.01


S18
Lens
2.915
0.306





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.780





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 600 according to the sixth embodiment of the present disclosure is 6.84 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.159°, SWA21 is 33.721°, and f12 is 5.563 mm.


In the sixth embodiment of the present disclosure, the first lens 601 has a positive refractive power, a first surface of the first lens 601 is convex in the paraxial region, and a second surface of the first lens 601 is concave in the paraxial region.


The second lens 602 has a positive refractive power, a first surface of the second lens 602 is convex in the paraxial region, and a second surface of the second lens 602 is concave in the paraxial region.


The third lens 603 has a negative refractive power, a first surface of the third lens 603 is convex in the paraxial region, and a second surface of the third lens 603 is concave in the paraxial region.


The fourth lens 604 has a positive refractive power, a first surface of the fourth lens 604 is convex in the paraxial region, and a second surface of the fourth lens 604 is concave in the paraxial region.


The fifth lens 605 has a positive refractive power, a first surface of the fifth lens 605 is convex in the paraxial region, and a second surface of the fifth lens 605 is concave in the paraxial region.


The sixth lens 606 has a negative refractive power, a first surface of the sixth lens 606 is convex in the paraxial region, and a second surface of the sixth lens 606 is concave in the paraxial region.


The seventh lens 607 has a positive refractive power, a first surface of the seventh lens 607 is concave in the paraxial region, and a second surface of the seventh lens 607 is convex in the paraxial region.


The eighth lens 608 has a positive refractive power, a first surface of the eighth lens 608 is convex in the paraxial region, and a second surface of the eighth lens 608 is concave in the paraxial region.


The ninth lens 609 has a negative refractive power, a first surface of the ninth lens 609 is convex in the paraxial region, and a second surface of the ninth lens 609 is concave in the paraxial region.


Additionally, one or more of the fifth lens 605 to the ninth lens 609 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 601 to the ninth lens 609 has aspherical coefficients as illustrated in Table 12 below. For example, both an object-side surface and an image-side surface of each of the first lens 601 to the ninth lens 609 are aspherical surfaces.















TABLE 12








S1
S2
S3
S4
S5
S6





Conic
−5.442
−11.931
−4.304
99.000
16.651
4.560


Constant (K)








Fourth
 1.820E−02
 1.498E−02
−2.116E−03
 3.937E−02
 3.221E−02
 7.066E−03


Coefficient (A)








Sixth
−2.543E−02
−4.837E−02
 9.091E−04
−2.634E−01
−2.465E−01
−1.248E−01


Coefficient (B)








Eighth
 4.573E−02
 1.147E−01
−1.424E−02
 7.256E−01
 7.516E−01
 5.198E−01


Coefficient (C)








Tenth
−6.633E−02
−2.018E−01
 6.228E−02
−1.225E+00
−1.421E+00
−1.379E+00


Coefficient (D)








Twelfth
 6.890E−02
 2.474E−01
−1.186E−01
 1.396E+00
 1.831E+00
 2.459E+00


Coefficient (E)








Fourteenth
−5.181E−02
−2.126E−01
 1.366E−01
−1.123E+00
−1.675E+00
−3.049E+00


Coefficient (F)








Sixteenth
 2.841E−02
 1.301E−01
−1.048E−01
 6.533E−01
 1.110E+00
 2.691E+00


Coefficient (G)








Eighteenth
−1.140E−02
−5.739E−02
 5.570E−02
−2.779E−01
−5.384E−01
−1.711E+00


Coefficient (H)








Twentieth
 3.338E−03
 1.828E−02
−2.085E−02
 8.649E−02
 1.909E−01
 7.856E−01


Coefficient (J)








Twenty-Second
−7.040E−04
−4.165E−03
 5.486E−03
−1.946E−02
−4.887E−02
−2.577E−01


Coefficient (L)








Twenty-Fourth
 1.040E−04
 6.619E−04
−9.939E−04
 3.079E−03
 8.789E−03
 5.890E−02


Coefficient (M)








Twenty-Sixth
−1.021E−05
−6.969E−05
 1.181E−04
−3.249E−04
−1.052E−03
−8.902E−03


Coefficient (N)








Twenty-Eighth
 5.967E−07
 4.367E−06
−8.287E−06
 2.051E−05
 7.529E−05
 7.997E−04


Coefficient (O)








Thirtieth
−1.571E−08
−1.233E−07
 2.604E−07
−5.856E−07
−2.433E−06
−3.232E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−7.898
−71.048
−63.064
−54.551
−99.000
−34.202


Constant (K)








Fourth
 7.565E−04
−8.403E−03
−3.166E−02
−2.984E−02
−4.907E−02
−1.044E−01


Coefficient (A)








Sixth
−2.285E−02
 3.125E−02
 1.984E−02
 1.303E−02
 1.858E−02
 9.013E−02


Coefficient (B)








Eighth
 8.194E−02
−1.206E−01
−8.960E−02
−3.858E−02
 1.585E−02
−1.418E−01


Coefficient (C)








Tenth
−2.150E−01
 2.890E−01
 2.597E−01
 8.473E−02
−6.012E−02
 1.884E−01


Coefficient (D)








Twelfth
 4.062E−01
−4.733E−01
−4.997E−01
−1.307E−01
 9.257E−02
−1.683E−01


Coefficient (E)








Fourteenth
−5.452E−01
 5.562E−01
 6.574E−01
 1.399E−01
−9.394E−02
 1.024E−01


Coefficient (F)








Sixteenth
 5.218E−01
−4.805E−01
−6.089E−01
−1.059E−01
 6.715E−02
−4.419E−02


Coefficient (G)








Eighteenth
−3.575E−01
 3.081E−01
 4.044E−01
 5.761E−02
−3.443E−02
 1.391E−02


Coefficient (H)








Twentieth
 1.754E−01
−1.463E−01
−1.936E−01
−2.263E−02
 1.270E−02
−3.233E−03


Coefficient (J)








Twenty-Second
−6.094E−02
 5.066E−02
 6.635E−02
 6.377E−03
−3.334E−03
 5.526E−04


Coefficient (L)








Twenty-Fourth
 1.464E−02
−1.242E−02
−1.588E−02
−1.258E−03
 6.078E−04
−6.783E−05


Coefficient (M)








Twenty-Sixth
−2.309E−03
 2.041E−03
 2.522E−03
 1.650E−04
−7.300E−05
 5.673E−06


Coefficient (N)








Twenty-Eighth
 2.152E−04
−2.013E−04
−2.390E−04
−1.296E−05
 5.190E−06
−2.899E−07


Coefficient (O)








Thirtieth
−8.969E−06
 9.008E−06
 1.023E−05
 4.611E−07
−1.654E−07
 6.825E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.849
0.085
−7.555
−13.629
22.671
−13.604


Constant (K)








Fourth
 2.154E−02
 2.173E−02
 1.277E−02
 2.602E−02
−9.998E−02
−5.186E−02


Coefficient (A)








Sixth
 1.959E−02
−5.379E−03
−1.802E−02
−6.449E−03
 4.767E−02
 2.295E−02


Coefficient (B)








Eighth
−1.038E−01
−2.612E−02
 1.323E−03
−9.964E−03
−1.917E−02
−8.782E−03


Coefficient (C)








Tenth
 1.609E−01
 4.030E−02
 4.553E−03
 9.183E−03
 5.836E−03
 2.530E−03


Coefficient (D)








Twelfth
−1.414E−01
−3.008E−02
−3.403E−03
−4.139E−03
−1.228E−03
−5.329E−04


Coefficient (E)








Fourteenth
 8.068E−02
 1.390E−02
 1.344E−03
 1.200E−03
 1.763E−04
 8.227E−05


Coefficient (F)








Sixteenth
−3.191E−02
−4.326E−03
−3.523E−04
−2.413E−04
−1.743E−05
−9.391E−06


Coefficient (G)








Eighteenth
 9.058E−03
 9.450E−04
 6.558E−05
 3.465E−05
 1.189E−06
 7.960E−07


Coefficient (H)








Twentieth
−1.871E−03
−1.473E−04
−8.809E−06
−3.581E−06
−5.522E−08
−4.982E−08


Coefficient (J)








Twenty-Second
 2.803E−04
 1.634E−05
 8.421E−07
 2.641E−07
 1.662E−09
 2.265E−09


Coefficient (L)








Twenty-Fourth
−2.975E−05
−1.264E−06
−5.530E−08
−1.355E−08
−2.809E−11
−7.247E−11


Coefficient (M)








Twenty-Sixth
 2.122E−06
 6.485E−08
 2.343E−09
 4.585E−10
 1.162E−13
 1.542E−12


Coefficient (N)








Twenty-Eighth
−9.121E−08
−1.985E−09
−5.693E−11
−9.194E−12
 4.016E−15
−1.953E−14


Coefficient (O)








Thirtieth
 1.783E−09
 2.747E−11
 5.925E−13
 8.262E−14
−5.139E−17
 1.112E−16


Coefficient (P)









Additionally, the optical imaging system 600 configured as described above may have the aberration characteristics illustrated in FIG. 12.



FIG. 13 is a structural view of an optical imaging system according to a seventh embodiment of the present disclosure, and FIG. 14 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 13.


Referring to FIG. 13, an optical imaging system 700 according to the seventh embodiment of the present disclosure includes a first lens 701, a second lens 702, a third lens 703, a fourth lens 704, a fifth lens 705, a sixth lens 706, a seventh lens 707, an eighth lens 708, and a ninth lens 709, and may further include a filter 710 and an image sensor IS.


The optical imaging system 700 according to the seventh embodiment of the present disclosure may form a focus on an imaging surface 711. The imaging surface 711 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 711 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 13 below.















TABLE 13





Surface

Radius of
Thickness
Index of
Abbe



Num-

Cur-
or
Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
3.141
0.387
1.544
55.99
48.7246


S2
Lens
3.407
0.044





S3
Second
3.239
0.937
1.544
55.99
6.0724


S4
Lens
122.813
0.034





S5
Third
17.242
0.210
1.639
23.49
−9.6388


S6
Lens
4.550
0.276





S7
Fourth
6.612
0.325
1.544
55.99
−500.0002


S8
Lens
6.344
0.383





S9
Fifth
5.373
0.377
1.671
19.24
32.8604


S10
Lens
6.878
0.664





S11
Sixth
21.882
0.480
1.544
55.99
−906.6618


S12
Lens
20.793
0.169





S13
Seventh
−6.530
0.380
1.614
25.94
−40.0063


S14
Lens
−9.060
0.082





S15
Eighth
2.116
0.474
1.544
55.99
7.957


S16
Lens
3.796
1.329





S17
Ninth
29.925
0.400
1.535
55.74
−6.2637


S18
Lens
3.010
0.304





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.755





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 700 according to the seventh embodiment of the present disclosure is 6.8372 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.23°, SWA21 is 33.346°, and f12 is 5.644 mm.


In the seventh embodiment of the present disclosure, the first lens 701 has a positive refractive power, a first surface of the first lens 701 is convex in the paraxial region, and a second surface of the first lens 701 is concave in the paraxial region.


The second lens 702 has a positive refractive power, a first surface of the second lens 702 is convex in the paraxial region, and a second surface of the second lens 702 is concave in the paraxial region.


The third lens 703 has a negative refractive power, a first surface of the third lens 703 is convex in the paraxial region, and a second surface of the third lens 703 is concave in the paraxial region.


The fourth lens 704 has a negative refractive power, a first surface of the fourth lens 704 is convex in the paraxial region, and a second surface of the fourth lens 704 is concave in the paraxial region.


The fifth lens 705 has a positive refractive power, a first surface of the fifth lens 705 is convex in the paraxial region, and a second surface of the fifth lens 705 is concave in the paraxial region.


The sixth lens 706 has a negative refractive power, a first surface of the sixth lens 706 is convex in the paraxial region, and a second surface of the sixth lens 706 is concave in the paraxial region.


The seventh lens 707 has a negative refractive power, a first surface of the seventh lens 707 is concave in the paraxial region, and a second surface of the seventh lens 707 is convex in the paraxial region.


The eighth lens 708 has a positive refractive power, a first surface of the eighth lens 708 is convex in the paraxial region, and a second surface of the eighth lens 708 is concave in the paraxial region.


The ninth lens 709 has a negative refractive power, a first surface of the ninth lens 709 is convex in the paraxial region, and a second surface of the ninth lens 709 is concave in the paraxial region.


Additionally, one or more of the fifth lens 705 to the ninth lens 709 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 701 to the ninth lens 709 has aspherical coefficients as illustrated in Table 14 below. For example, both an object-side surface and an image-side surface of each of the first lens 701 to the ninth lens 709 are aspherical surfaces.















TABLE 14








S1
S2
S3
S4
S5
S6





Conic
−5.366
−12.196
−4.390
99.000
1.804
4.573


Constant (K)








Fourth
−1.819E−04
 1.050E−02
−3.245E−03
−1.443E−02
 1.784E−02
 7.552E−03


Coefficient (A)








Sixth
 8.080E−02
 9.726E−02
 1.075E−01
 6.712E−02
−1.092E−01
−7.979E−02


Coefficient (B)








Eighth
−2.581E−01
−5.026E−01
−4.869E−01
−2.559E−01
 2.730E−01
 2.890E−01


Coefficient (C)








Tenth
 4.594E−01
 1.059E+00
 1.028E+00
 5.415E−01
−4.858E−01
−7.459E−01


Coefficient (D)








Twelfth
−5.310E−01
−1.325E+00
−1.308E+00
−7.139E−01
 6.499E−01
 1.360E+00


Coefficient (E)








Fourteenth
 4.224E−01
 1.104E+00
 1.115E+00
 6.345E−01
−6.486E−01
−1.764E+00


Coefficient (F)








Sixteenth
−2.389E−01
−6.440E−01
−6.694E−01
−3.968E−01
 4.779E−01
 1.643E+00


Coefficient (G)








Eighteenth
 9.762E−02
 2.698E−01
 2.899E−01
 1.784E−01
−2.582E−01
−1.103E+00


Coefficient (H)








Twentieth
−2.891E−02
−8.168E−02
−9.113E−02
−5.803E−02
 1.013E−01
 5.327E−01


Coefficient (J)








Twenty-Second
 6.151E−03
 1.774E−02
 2.063E−02
 1.355E−02
−2.845E−02
−1.832E−01


Coefficient (L)








Twenty-Fourth
−9.161E−04
−2.696E−03
−3.280E−03
−2.216E−03
 5.559E−03
 4.370E−02


Coefficient (M)








Twenty-Sixth
 9.068E−05
 2.724E−04
 3.478E−04
 2.413E−04
−7.167E−04
−6.871E−03


Coefficient (N)








Twenty-Eighth
−5.359E−06
−1.644E−05
−2.209E−05
−1.573E−05
 5.476E−05
 6.403E−04


Coefficient (O)








Thirtieth
 1.431E−07
 4.486E−07
 6.361E−07
 4.646E−07
−1.876E−06
−2.678E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−12.468
−85.019
−38.391
−38.770
−40.686
42.685


Constant (K)








Fourth
−4.229E−03
−1.922E−02
−5.467E−02
−3.299E−02
−6.148E−02
−9.298E−02


Coefficient (A)








Sixth
−6.410E−02
 9.252E−02
 1.771E−01
 2.161E−02
 5.915E−02
 5.608E−02


Coefficient (B)








Eighth
 3.089E−01
−3.736E−01
−6.273E−01
−3.238E−02
−9.317E−02
−5.770E−02


Coefficient (C)








Tenth
−7.754E−01
 9.755E−01
 1.454E+00
 1.890E−02
 1.296E−01
 4.912E−02


Coefficient (D)








Twelfth
 1.283E+00
−1.696E+00
−2.324E+00
 2.377E−02
−1.328E−01
−2.072E−02


Coefficient (E)








Fourteenth
−1.492E+00
 2.044E+00
 2.642E+00
−6.449E−02
 9.732E−02
−2.091E−03


Coefficient (F)








Sixteenth
 1.251E+00
−1.757E+00
−2.177E+00
 7.066E−02
−5.078E−02
 7.625E−03


Coefficient (G)








Eighteenth
−7.624E−01
 1.094E+00
 1.313E+00
−4.753E−02
 1.870E−02
−4.622E−03


Coefficient (H)








Twentieth
 3.370E−01
−4.945E−01
−5.791E−01
 2.141E−02
−4.744E−03
 1.606E−03


Coefficient (J)








Twenty-Second
−1.067E−01
 1.608E−01
 1.846E−01
−6.598E−03
 7.853E−04
−3.651E−04


Coefficient (L)








Twenty-Fourth
 2.359E−02
−3.661E−02
−4.137E−02
 1.376E−03
−7.384E−05
 5.553E−05


Coefficient (M)








Twenty-Sixth
−3.449E−03
 5.544E−03
 6.182E−03
−1.858E−04
 1.953E−06
−5.467E−06


Coefficient (N)








Twenty-Eighth
 2.998E−04
−5.013E−04
−5.530E−04
 1.464E−05
 2.713E−07
 3.158E−07


Coefficient (O)








Thirtieth
−1.172E−05
 2.048E−05
 2.239E−05
−5.105E−07
−1.956E−08
−8.131E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
2.674
0.950
−6.391
−11.387
30.305
−12.571


Constant (K)








Fourth
 3.542E−02
 6.138E−03
 8.764E−03
 3.226E−02
−9.175E−02
−4.872E−02


Coefficient (A)








Sixth
−1.537E−02
 9.742E−04
−8.107E−03
−1.624E−02
 3.659E−02
 1.834E−02


Coefficient (B)








Eighth
−3.588E−02
−1.798E−02
−4.227E−03
−5.635E−04
−1.243E−02
−5.870E−03


Coefficient (C)








Tenth
 6.830E−02
 2.791E−02
 7.247E−03
 4.213E−03
 3.419E−03
 1.456E−03


Coefficient (D)








Twelfth
−5.668E−02
−2.190E−02
−4.697E−03
−2.549E−03
−6.760E−04
−2.688E−04


Coefficient (E)








Fourteenth
 2.808E−02
 1.053E−02
 1.827E−03
 8.707E−04
 9.228E−05
 3.660E−05


Coefficient (F)








Sixteenth
−9.131E−03
−3.372E−03
−4.747E−04
−1.961E−04
−8.674E−06
−3.701E−06


Coefficient (G)








Eighteenth
 2.037E−03
 7.523E−04
 8.597E−05
 3.059E−05
 5.605E−07
 2.798E−07


Coefficient (H)








Twentieth
−3.186E−04
−1.191E−04
−1.101E−05
−3.361E−06
−2.447E−08
−1.579E−08


Coefficient (J)








Twenty-Second
 3.536E−05
 1.336E−05
 9.925E−07
 2.593E−07
 6.833E−10
 6.556E−10


Coefficient (L)








Twenty-Fourth
−2.807E−06
−1.040E−06
−6.143E−08
−1.372E−08
−1.035E−11
−1.938E−11


Coefficient (M)








Twenty-Sixth
 1.592E−07
 5.354E−08
 2.480E−09
 4.741E−10
 2.250E−14
 3.849E−13


Coefficient (N)








Twenty-Eighth
−6.089E−09
−1.639E−09
−5.864E−11
−9.609E−12
 1.693E−15
−4.586E−15


Coefficient (O)








Thirtieth
 1.202E−10
 2.261E−11
 6.148E−13
 8.651E−14
−1.845E−17
 2.470E−17


Coefficient (P)









Additionally, the optical imaging system 700 configured as described above may have the aberration characteristics illustrated in FIG. 14.



FIG. 15 is a structural view of an optical imaging system according to an eighth embodiment of the present disclosure, and FIG. 16 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 15.


Referring to FIG. 15, an optical imaging system 800 according to the eighth embodiment of the present disclosure includes a first lens 801, a second lens 802, a third lens 803, a fourth lens 804, a fifth lens 805, a sixth lens 806, a seventh lens 807, an eighth lens 808, and a ninth lens 809, and may further include a filter 810 and an image sensor IS.


The optical imaging system 800 according to the eighth embodiment of the present disclosure may form a focus on an imaging surface 811. The imaging surface 811 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 811 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 15. below















TABLE 15





Surface

Radius
Thickness
Index of
Abbe



Num-

of
or
Re-
Num-
Focal


ber
Element
Curvature
Distance
fraction
ber
Length





















S1
First
8.772
0.360
1.544
55.99
134.0397


S2
Lens
9.822
0.035





S3
Second
2.859
1.087
1.544
55.99
6.5404


S4
Lens
12.385
0.250





S5
Third
23.731
0.411
1.671
19.24
−13.4041


S6
Lens
6.532
0.207





S7
Fourth
6.667
0.346
1.544
55.99
20.8252


S8
Lens
15.810
0.446





S9
Fifth
59.414
0.301
1.671
19.24
−25.5204


S10
Lens
13.386
0.316





S11
Sixth
6.037
0.341
1.635
23.96
312.2525


S12
Lens
6.088
0.507





S13
Seventh
8.283
0.667
1.567
37.40
6.1804


S14
Lens
−5.964
0.210





S15
Eighth
−7.236
0.374
1.544
55.99
−56.9705


S16
Lens
−9.599
0.674





S17
Ninth
49.042
0.386
1.535
55.74
−4.5696


S18
Lens
2.331
0.700





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.392





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 800 according to the eighth embodiment of the present disclosure is 6.8321 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 17.312°, SWA21 is 35.581°, and f12 is 6.343 mm.


In the eighth embodiment of the present disclosure, the first lens 801 has a positive refractive power, a first surface of the first lens 801 is convex in the paraxial region, and a second surface of the first lens 801 is concave in the paraxial region.


The second lens 802 has a positive refractive power, a first surface of the second lens 802 is convex in the paraxial region, and the second surface of the second lens 802 is concave in the paraxial region.


The third lens 803 has a negative refractive power, a first surface of the third lens 803 is convex in the paraxial region, and a second surface of the third lens 803 is concave in the paraxial region.


The fourth lens 804 has a positive refractive power, a first surface of the fourth lens 804 is convex in the paraxial region, and a second surface of the fourth lens 804 is concave in the paraxial region.


The fifth lens 805 has a negative refractive power, a first surface of the fifth lens 805 is convex in the paraxial region, and a second surface of the fifth lens 805 is concave in the paraxial region.


The sixth lens 806 has a positive refractive power, a first surface of the sixth lens 806 is convex in the paraxial region, and a second surface of the sixth lens 806 is concave in the paraxial region.


The seventh lens 807 has a positive refractive power, a first surface and a second surface of the seventh lens 807 are convex in the paraxial region.


The eighth lens 808 has a negative refractive power, a first surface of the eighth lens 808 is concave in the paraxial region, and a second surface of the eighth lens 808 is convex in the paraxial region.


The ninth lens 809 has a negative refractive power, a first surface of the ninth lens 809 is convex in the paraxial region, and a second surface of the ninth lens 809 is concave in the paraxial region.


Additionally, one or more of the fifth lens 805 to the ninth lens 809 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 801 to the ninth lens 809 has aspherical coefficients as illustrated in Table 16 below. For example, both an object-side surface and an image-side surface of each of the first lens 801 to the ninth lens 809 are aspherical surfaces.















TABLE 16








S1
S2
S3
S4
S5
S6





Conic
7.331
13.780
−1.524
−85.514
36.881
12.237


Constant (K)








Fourth
−2.684E−03
−9.462E−03
−8.605E−03
−9.076E−03
−8.603E−03
−7.954E−03


Coefficient (A)








Sixth
−2.662E−03
 1.119E−03
 5.403E−02
 1.137E−02
 1.159E−03
 4.750E−03


Coefficient (B)








Eighth
−3.088E−03
−1.070E−03
−1.610E−01
−4.333E−02
 5.989E−03
 1.483E−02


Coefficient (C)








Tenth
 1.502E−02
 1.321E−02
 3.165E−01
 9.115E−02
−1.432E−03
−9.782E−02


Coefficient (D)








Twelfth
−2.234E−02
−2.371E−02
−4.116E−01
−1.259E−01
−1.450E−02
 3.012E−01


Coefficient (E)








Fourteenth
 1.989E−02
 2.305E−02
 3.690E−01
 1.211E−01
 3.443E−02
−5.599E−01


Coefficient (F)








Sixteenth
−1.195E−02
−1.470E−02
−2.349E−01
−8.306E−02
−4.261E−02
 6.872E−01


Coefficient (G)








Eighteenth
 5.067E−03
 6.592E−03
 1.079E−01
 4.099E−02
 3.356E−02
−5.810E−01


Coefficient (H)








Twentieth
−1.535E−03
−2.135E−03
−3.582E−02
−1.457E−02
−1.777E−02
 3.443E−01


Coefficient (J)








Twenty-Second
 3.309E−04
 5.000E−04
 8.527E−03
 3.693E−03
 6.417E−03
−1.429E−01


Coefficient (L)








Twenty-Fourth
−4.957E−05
−8.282E−05
−1.418E−03
−6.504E−04
−1.560E−03
 4.068E−02


Coefficient (M)








Twenty-Sixth
 4.905E−06
 9.209E−06
 1.563E−04
 7.559E−05
 2.444E−04
−7.574E−03


Coefficient (N)








Twenty-Eighth
−2.883E−07
−6.164E−07
−1.027E−05
−5.209E−06
−2.230E−05
 8.306E−04


Coefficient (O)








Thirtieth
 7.621E−09
 1.875E−08
 3.041E−07
 1.612E−07
 9.003E−07
−4.068E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−4.031
−54.103
99.000
−15.990
−31.214
3.166


Constant (K)








Fourth
−3.502E−03
−2.445E−03
−3.598E−02
−5.585E−02
−8.502E−02
−1.049E−01


Coefficient (A)








Sixth
 1.076E−02
 1.569E−02
 1.597E−02
 4.731E−02
 6.952E−02
 6.110E−02


Coefficient (B)








Eighth
−5.584E−02
−8.493E−02
 3.931E−02
−3.645E−02
−5.807E−02
−4.253E−02


Coefficient (C)








Tenth
 1.530E−01
 2.437E−01
−2.831E−01
−3.559E−02
 2.633E−02
 2.245E−02


Coefficient (D)








Twelfth
−2.845E−01
−4.706E−01
 7.524E−01
 1.471E−01
 1.522E−02
−5.274E−03


Coefficient (E)








Fourteenth
 3.792E−01
 6.319E−01
−1.211E+00
−2.177E−01
−4.226E−02
−2.929E−03


Coefficient (F)








Sixteenth
−3.696E−01
−6.023E−01
 1.310E+00
 1.962E−01
 4.176E−02
 3.322E−03


Coefficient (G)








Eighteenth
 2.650E−01
 4.121E−01
−9.911E−01
−1.185E−01
−2.571E−02
−1.493E−03


Coefficient (H)








Twentieth
−1.390E−01
−2.027E−01
 5.317E−01
 4.940E−02
 1.089E−02
 3.899E−04


Coefficient (J)








Twenty-Second
 5.255E−02
 7.101E−02
−2.016E−01
−1.420E−02
−3.247E−03
−6.192E−05


Coefficient (L)








Twenty-Fourth
−1.390E−02
−1.726E−02
 5.284E−02
 2.742E−03
 6.733E−04
 5.637E−06


Coefficient (M)








Twenty-Sixth
 2.435E−03
 2.762E−03
−9.111E−03
−3.359E−04
−9.254E−05
−2.232E−07


Coefficient (N)








Twenty-Eighth
−2.535E−04
−2.614E−04
 9.298E−04
 2.307E−05
 7.568E−06
−3.306E−09


Coefficient (O)








Thirtieth
 1.186E−05
 1.106E−05
−4.255E−05
−6.467E−07
−2.780E−07
 4.191E−10


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
4.876
−1.931
−0.840
−1.426
62.666
−11.784


Constant (K)








Fourth
−2.181E−02
 7.091E−02
 1.486E−01
 9.821E−02
−1.161E−01
−5.944E−02


Coefficient (A)








Sixth
 8.412E−03
−7.207E−02
−1.767E−01
−1.099E−01
 5.165E−02
 2.533E−02


Coefficient (B)








Eighth
−1.940E−02
 3.110E−02
 1.135E−01
 7.235E−02
−1.442E−02
−7.082E−03


Coefficient (C)








Tenth
 2.384E−02
 2.493E−03
−4.603E−02
−3.207E−02
 2.549E−03
 1.270E−03


Coefficient (D)








Twelfth
−1.743E−02
−9.654E−03
 1.228E−02
 1.004E−02
−2.813E−04
−1.396E−04


Coefficient (E)








Fourteenth
 8.346E−03
 5.315E−03
−2.154E−03
−2.299E−03
 1.819E−05
 6.850E−06


Coefficient (F)








Sixteenth
−2.791E−03
−1.654E−03
 2.376E−04
 3.927E−04
−4.617E−07
 4.350E−07


Coefficient (G)








Eighteenth
 6.749E−04
 3.394E−04
−1.359E−05
−5.058E−05
−2.490E−08
−1.079E−07


Coefficient (H)








Twentieth
−1.190E−04
−4.812E−05
−1.178E−07
 4.895E−06
 2.736E−09
 9.552E−09


Coefficient (J)








Twenty-Second
 1.513E−05
 4.756E−06
 8.295E−08
−3.499E−07
−1.042E−10
−5.036E−10


Coefficient (L)








Twenty-Fourth
−1.344E−06
−3.219E−07
−6.321E−09
 1.786E−08
 1.453E−12
 1.699E−11


Coefficient (M)








Twenty-Sixth
 7.877E−08
 1.422E−08
 2.303E−10
−6.129E−10
 2.153E−14
−3.607E−13


Coefficient (N)








Twenty-Eighth
−2.725E−09
−3.683E−10
−3.955E−12
 1.264E−11
−9.995E−16
 4.409E−15


Coefficient (O)








Thirtieth
 4.206E−11
 4.232E−12
 2.115E−14
−1.181E−13
 9.930E−18
−2.371E−17


Coefficient (P)









Additionally, the optical imaging system 800 configured as described above may have the aberration characteristics illustrated in FIG. 16.



FIG. 17 is a structural view of an optical imaging system according to a ninth embodiment of the present disclosure, and FIG. 18 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 17.


Referring to FIG. 17, an optical imaging system 900 according to the ninth embodiment of the present disclosure includes a first lens 901, a second lens 902, a third lens 903, a fourth lens 904, a fifth lens 905, a sixth lens 906, a seventh lens 907, an eighth lens 908, and a ninth lens 909, and may further include a filter 910 and an image sensor IS.


The optical imaging system 900 according to the ninth embodiment of the present disclosure may form a focus on an imaging surface 911. The imaging surface 911 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 911 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 17 below.















TABLE 17





Surface


Thickness
Index of
Abbe



Num-

Radius of
or
Re-
Num-
Focal


ber
Element
Curvature
Distance
fraction
ber
Length





















S1
First
8.712
0.360
1.544
55.99
132.1836


S2
Lens
9.763
0.035





S3
Second
2.862
1.084
1.544
55.99
6.5405


S4
Lens
12.444
0.253





S5
Third
24.005
0.399
1.671
19.24
−13.3799


S6
Lens
6.546
0.206





S7
Fourth
6.614
0.350
1.544
55.99
20.9612


S8
Lens
15.365
0.452





S9
Fifth
58.344
0.307
1.671
19.24
−29.276


S10
Lens
14.793
0.320





S11
Sixth
6.329
0.318
1.635
23.96
−423.8648


S12
Lens
6.064
0.494





S13
Seventh
8.207
0.697
1.567
37.40
6.1743


S14
Lens
−5.985
0.210





S15
Eighth
−7.203
0.381
1.544
55.99
−58.3079


S16
Lens
−9.481
0.673





S17
Ninth
49.243
0.380
1.535
55.74
−4.5756


S18
Lens
2.335
0.700





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.391





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 900 according to the ninth embodiment of the present disclosure is 6.8322 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 17.443°, SWA21 is 35.742°, and f12 is 6.340 mm.


In the ninth embodiment of the present disclosure, the first lens 901 has a positive refractive power, a first surface of the first lens 901 is convex in the paraxial region, and a second surface of the first lens 901 is concave in the paraxial region.


The second lens 902 has a positive refractive power, a first surface of the second lens 902 is convex in the paraxial region, and a second surface of the second lens 902 is concave in the paraxial region.


The third lens 903 has a negative refractive power, a first surface of the third lens 903 is convex in the paraxial region, and a second surface of the third lens 903 is concave in the paraxial region.


The fourth lens 904 has a positive refractive power, a first surface of the fourth lens 904 is convex in the paraxial region, and a second surface of the fourth lens 904 is concave in the paraxial region.


The fifth lens 905 has a negative refractive power, a first surface of the fifth lens 905 is convex in the paraxial region, and a second surface of the fifth lens 905 is concave in the paraxial region.


The sixth lens 906 has a negative refractive power, a first surface of the sixth lens 906 is convex in the paraxial region, and a second surface of the sixth lens 906 is concave in the paraxial region.


The seventh lens 907 has a positive refractive power, and a first surface and a second surface of the seventh lens 907 are convex in the paraxial region.


The eighth lens 908 has a negative refractive power, a first surface of the eighth lens 908 is concave in the paraxial region, and a second surface of the eighth lens 908 is convex in the paraxial region.


The ninth lens 909 has a negative refractive power, a first surface of the ninth lens 909 is convex in the paraxial region, and a second surface of the ninth lens 909 is concave in the paraxial region.


Additionally, one or more of the fifth lens 905 to the ninth lens 909 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 901 to the ninth lens 909 has aspherical coefficients as illustrated in Table 18 below. For example, both an object-side surface and an image-side surface of each of the first lens 901 to the ninth lens 909 are aspherical surfaces.















TABLE 18








S1
S2
S3
S4
S5
S6





Conic
7.273
13.748
−1.509
−83.951
41.464
12.217


Constant (K)








Fourth
−3.185E−03
−9.207E−03
−7.718E−03
−9.014E−03
−8.480E−03
−7.706E−03


Coefficient (A)








Sixth
−1.480E−03
−3.201E−03
 4.718E−02
 1.049E−02
 4.320E−04
 4.334E−03


Coefficient (B)








Eighth
−5.623E−03
 1.223E−02
−1.406E−01
−4.043E−02
 7.433E−03
 9.311E−03


Coefficient (C)








Tenth
 1.859E−02
−9.521E−03
 2.805E−01
 8.567E−02
−2.576E−03
−6.174E−02


Coefficient (D)








Twelfth
−2.560E−02
 2.006E−03
−3.693E−01
−1.190E−01
−1.451E−02
 1.953E−01


Coefficient (E)








Fourteenth
 2.186E−02
 2.498E−03
 3.339E−01
 1.151E−01
 3.516E−02
−3.717E−01


Coefficient (F)








Sixteenth
−1.277E−02
−2.758E−03
−2.136E−01
−7.921E−02
−4.317E−02
 4.647E−01


Coefficient (G)








Eighteenth
 5.293E−03
 1.486E−03
 9.833E−02
 3.919E−02
 3.370E−02
−3.989E−01


Coefficient (H)








Twentieth
−1.575E−03
−5.294E−04
−3.269E−02
−1.395E−02
−1.772E−02
 2.395E−01


Coefficient (J)








Twenty-Second
 3.346E−04
 1.334E−04
 7.777E−03
 3.538E−03
 6.363E−03
−1.005E−01


Coefficient (L)








Twenty-Fourth
−4.958E−05
−2.381E−05
−1.291E−03
−6.229E−04
−1.541E−03
 2.887E−02


Coefficient (M)








Twenty-Sixth
 4.867E−06
 2.871E−06
 1.421E−04
 7.233E−05
 2.408E−04
−5.419E−03


Coefficient (N)








Twenty-Eighth
−2.845E−07
−2.093E−07
−9.304E−06
−4.978E−06
−2.193E−05
 5.984E−04


Coefficient (O)








Thirtieth
 7.496E−09
 6.931E−09
 2.746E−07
 1.538E−07
 8.844E−07
−2.949E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−4.014
−52.220
−24.462
−9.279
−30.187
3.165


Constant (K)








Fourth
−3.242E−03
−3.014E−03
−4.247E−02
−5.913E−02
−8.705E−02
−1.090E−01


Coefficient (A)








Sixth
 1.068E−02
 1.974E−02
 6.865E−02
 8.532E−02
 6.766E−02
 7.252E−02


Coefficient (B)








Eighth
−5.959E−02
−9.936E−02
−1.746E−01
−1.722E−01
−2.306E−02
−5.892E−02


Coefficient (C)








Tenth
 1.708E−01
 2.720E−01
 2.643E−01
 2.569E−01
−7.920E−02
 3.985E−02


Coefficient (D)








Twelfth
−3.257E−01
−4.997E−01
−2.070E−01
−2.834E−01
 1.913E−01
−2.002E−02


Coefficient (E)








Fourteenth
 4.384E−01
 6.395E−01
−1.435E−02
 2.337E−01
−2.349E−01
 6.884E−03


Coefficient (F)








Sixteenth
−4.264E−01
−5.822E−01
 2.263E−01
−1.478E−01
 1.884E−01
−1.649E−03


Coefficient (G)








Eighteenth
 3.027E−01
 3.812E−01
−2.722E−01
 7.334E−02
−1.053E−01
 3.778E−04


Coefficient (H)








Twentieth
−1.565E−01
−1.796E−01
 1.829E−01
−2.879E−02
 4.185E−02
−1.244E−04


Coefficient (J)








Twenty-Second
 5.815E−02
 6.029E−02
−7.924E−02
 8.801E−03
−1.183E−02
 3.936E−05


Coefficient (L)








Twenty-Fourth
−1.510E−02
−1.404E−02
 2.265E−02
−2.005E−03
 2.324E−03
−8.227E−06


Coefficient (M)








Twenty-Sixth
 2.600E−03
 2.150E−03
−4.145E−03
 3.162E−04
−3.019E−04
 1.027E−06


Coefficient (N)








Twenty-Eighth
−2.661E−04
−1.945E−04
 4.407E−04
−3.044E−05
 2.330E−05
−6.999E−08


Coefficient (O)








Thirtieth
 1.225E−05
 7.850E−06
−2.074E−05
 1.337E−06
−8.081E−07
 2.011E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
4.861
−2.019
−0.848
−1.391
62.777
−11.861


Constant (K)








Fourth
−2.322E−02
 7.284E−02
 1.490E−01
 9.799E−02
−1.162E−01
−5.958E−02


Coefficient (A)








Sixth
 1.074E−02
−7.707E−02
−1.778E−01
−1.105E−01
 5.157E−02
 2.550E−02


Coefficient (B)








Eighth
−2.136E−02
 3.877E−02
 1.149E−01
 7.336E−02
−1.435E−02
−7.163E−03


Coefficient (C)








Tenth
 2.484E−02
−5.016E−03
−4.699E−02
−3.272E−02
 2.516E−03
 1.276E−03


Coefficient (D)








Twelfth
−1.790E−02
−4.923E−03
 1.269E−02
 1.027E−02
−2.703E−04
−1.328E−04


Coefficient (E)








Fourteenth
 8.601E−03
 3.329E−03
−2.272E−03
−2.347E−03
 1.565E−05
 4.213E−06


Coefficient (F)








Sixteenth
−2.914E−03
−1.078E−03
 2.609E−04
 3.992E−04
−6.309E−08
 9.235E−07


Coefficient (G)








Eighteenth
 7.156E−04
 2.211E−04
−1.682E−05
−5.110E−05
−6.795E−08
−1.636E−07


Coefficient (H)








Twentieth
−1.281E−04
−3.077E−05
 1.973E−07
 4.913E−06
 5.970E−09
 1.378E−08


Coefficient (J)








Twenty-Second
 1.648E−05
 2.948E−06
 6.157E−08
−3.487E−07
−2.731E−10
−7.209E−10


Coefficient (L)








Twenty-Fourth
−1.477E−06
−1.910E−07
−5.349E−09
 1.767E−08
 7.475E−12
 2.451E−11


Coefficient (M)








Twenty-Sixth
 8.715E−08
 7.964E−09
 2.027E−10
−6.026E−10
−1.185E−13
−5.290E−13


Coefficient (N)








Twenty-Eighth
−3.031E−09
−1.912E−10
−3.534E−12
 1.235E−11
 9.163E−16
 6.606E−15


Coefficient (O)








Thirtieth
 4.696E−11
 1.982E−12
 1.885E−14
−1.146E−13
−1.782E−18
−3.644E−17


Coefficient (P)









Additionally, the optical imaging system 900 configured as described above may have the aberration characteristics illustrated in FIG. 18.



FIG. 19 is a structural view of an optical imaging system according to a tenth embodiment of the present disclosure, and FIG. 20 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 19.


Referring to FIG. 19, an optical imaging system 1000 according to the tenth embodiment of the present disclosure includes a first lens 1001, a second lens 1002, a third lens 1003, a fourth lens 1004, a fifth lens 1005, a sixth lens 1006, a seventh lens 1007, an eighth lens 1008, and a ninth lens 1009, and may further include a filter 1010 and an image sensor IS.


The optical imaging system 1000 according to a tenth embodiment of the present disclosure may form a focus on an imaging surface 1011. The imaging surface 1011 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 1011 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 19 below.















TABLE 19





Surface

Radius
Thickness
Index
Abbe



Num-

of Cur-
or
of Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
8.341
0.360
1.544
55.99
102.19


S2
Lens
9.656
0.035





S3
Second
2.903
1.068
1.544
55.99
6.56


S4
Lens
13.284
0.276





S5
Third
27.786
0.251
1.671
19.24
−12.89


S6
Lens
6.631
0.234





S7
Fourth
6.987
0.408
1.544
55.99
22.24


S8
Lens
16.103
0.432





S9
Fifth
41.293
0.386
1.671
19.24
499.45


S10
Lens
46.841
0.398





S11
Sixth
8.880
0.225
1.635
23.96
−28.24


S12
Lens
5.899
0.417





S13
Seventh
8.031
0.792
1.567
37.40
6.59


S14
Lens
−6.811
0.210





S15
Eighth
−8.952
0.415
1.544
55.99
−162.87


S16
Lens
−10.116
0.626





S17
Ninth
44.981
0.380
1.535
55.74
−4.55


S18
Lens
2.312
0.700





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.396





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 1000 according to the tenth embodiment of the present disclosure is 6.83 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 18.547°, SWA21 is 35.989°, and f12 is 6.273 mm.


In the tenth embodiment of the present disclosure, the first lens 1001 has a positive refractive power, a first surface of the first lens 1001 is convex in the paraxial region, and a second surface of the first lens 1001 is concave in the paraxial region.


The second lens 1002 has a positive refractive power, a first surface of the second lens 1002 is convex in the paraxial region, and a second surface of the second lens 1002 is concave in the paraxial region.


The third lens 1003 has a negative refractive power, a first surface of the third lens 1003 is convex in the paraxial region, and a second surface of the third lens 1003 is concave in the paraxial region.


The fourth lens 1004 has a positive refractive power, a first surface of the fourth lens 1004 is convex in the paraxial region, and a second surface of the fourth lens 1004 is concave in the paraxial region.


The fifth lens 1005 has a positive refractive power, a first surface of the fifth lens 1005 is convex in the paraxial region, and a second surface of the fifth lens 1005 is concave in the paraxial region.


The sixth lens 1006 has a negative refractive power, a first surface of the sixth lens 1006 is convex in the paraxial region, and a second surface of the sixth lens 1006 is concave in the paraxial region.


The seventh lens 1007 has a positive refractive power, and a first surface and a second surface of the seventh lens 1007 are convex in the paraxial region.


The eighth lens 1008 has a negative refractive power, a first surface of the eighth lens 1008 is concave in the paraxial region, and a second surface of the eighth lens 1008 is convex in the paraxial region.


The ninth lens 1009 has a negative refractive power, a first surface of the ninth lens 1009 is convex in the paraxial region, and a second surface of the ninth lens 1009 is concave in the paraxial region.


Additionally, one or more of the fifth lens 1005 to the ninth lens 1009 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 1001 to the ninth lens 1009 has aspherical coefficients as illustrated in Table 20 below. For example, both an object-side surface and an image-side surface of each of the first lens 1001 to the ninth lens 1009 are aspherical surfaces.















TABLE 20








S1
S2
S3
S4
S5
S6





Conic
6.653
13.751
−1.434
−99.000
99.000
12.076


Constant (K)








Fourth
−6.299E−03
−2.366E−02
−1.610E−02
−7.281E−03
−1.019E−02
 2.110E−04


Coefficient (A)








Sixth
−3.732E−03
 2.148E−02
 5.732E−02
 8.921E−03
 1.263E−02
−4.287E−02


Coefficient (B)








Eighth
 6.434E−03
−1.939E−03
−1.181E−01
−3.819E−02
−4.904E−02
 1.953E−01


Coefficient (C)








Tenth
−1.593E−03
−3.313E−02
 1.890E−01
 7.900E−02
 1.394E−01
−5.510E−01


Coefficient (D)








Twelfth
−6.287E−03
 6.493E−02
−2.189E−01
−1.050E−01
−2.399E−01
 1.066E+00


Coefficient (E)








Fourteenth
 1.061E−02
−7.018E−02
 1.821E−01
 9.692E−02
 2.794E−01
−1.445E+00


Coefficient (F)








Sixteenth
−9.058E−03
 5.021E−02
−1.097E−01
−6.391E−02
−2.298E−01
 1.400E+00


Coefficient (G)








Eighteenth
 4.964E−03
−2.509E−02
 4.817E−02
 3.045E−02
 1.359E−01
−9.813E−01


Coefficient (H)








Twentieth
−1.855E−03
 8.904E−03
−1.542E−02
−1.049E−02
−5.788E−02
 4.980E−01


Coefficient (J)








Twenty-Second
 4.789E−04
−2.239E−03
 3.558E−03
 2.585E−03
 1.760E−02
−1.810E−01


Coefficient (L)








Twenty-Fourth
−8.427E−05
 3.903E−04
−5.761E−04
−4.440E−04
−3.720E−03
 4.592E−02


Coefficient (M)








Twenty-Sixth
 9.656E−06
−4.488E−05
 6.211E−05
 5.047E−05
 5.194E−04
−7.710E−03


Coefficient (N)








Twenty-Eighth
−6.501E−07
 3.062E−06
−4.004E−06
−3.410E−06
−4.302E−05
 7.695E−04


Coefficient (O)








Thirtieth
 1.952E−08
−9.389E−08
 1.168E−07
 1.037E−07
 1.601E−06
−3.456E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−3.030
−87.294
−96.699
99.000
−41.182
3.116


Constant (K)








Fourth
 5.188E−03
 1.277E−04
−2.435E−02
−2.039E−02
−4.069E−02
−6.081E−02


Coefficient (A)








Sixth
−3.364E−02
−3.551E−03
 2.934E−02
 1.097E−02
−3.582E−02
−3.870E−02


Coefficient (B)








Eighth
 1.088E−01
−2.109E−02
−1.408E−01
−7.724E−02
 1.029E−01
 9.128E−02


Coefficient (C)








Tenth
−2.664E−01
 9.513E−02
 3.502E−01
 2.036E−01
−1.439E−01
−8.390E−02


Coefficient (D)








Twelfth
 4.607E−01
−2.185E−01
−5.711E−01
−3.383E−01
 1.465E−01
 4.168E−02


Coefficient (E)








Fourteenth
−5.672E−01
 3.200E−01
 6.471E−01
 3.851E−01
−1.214E−01
−8.921E−03


Coefficient (F)








Sixteenth
 5.034E−01
−3.204E−01
−5.235E−01
−3.117E−01
 8.091E−02
−2.269E−03


Coefficient (G)








Eighteenth
−3.242E−01
 2.260E−01
 3.063E−01
 1.827E−01
−4.149E−02
 2.474E−03


Coefficient (H)








Twentieth
 1.513E−01
−1.135E−01
−1.299E−01
−7.784E−02
 1.578E−02
−9.528E−04


Coefficient (J)








Twenty-Second
−5.050E−02
 4.036E−02
 3.949E−02
 2.387E−02
−4.332E−03
 2.203E−04


Coefficient (L)








Twenty-Fourth
 1.174E−02
−9.937E−03
−8.391E−03
−5.136E−03
 8.296E−04
−3.282E−05


Coefficient (M)








Twenty-Sixth
−1.803E−03
 1.611E−03
 1.183E−03
 7.352E−04
−1.049E−04
 3.091E−06


Coefficient (N)








Twenty-Eighth
 1.641E−04
−1.549E−04
−9.947E−05
−6.287E−05
 7.864E−06
−1.678E−07


Coefficient (O)








Thirtieth
−6.698E−06
 6.686E−06
 3.778E−06
 2.430E−06
−2.644E−07
 4.005E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
4.809
−2.728
0.106
−1.653
62.856
−12.089


Constant (K)








Fourth
 1.285E−02
 1.459E−01
 2.118E−01
 1.111E−01
−1.251E−01
−6.304E−02


Coefficient (A)








Sixth
−6.046E−02
−2.224E−01
−3.067E−01
−1.394E−01
 6.720E−02
 3.272E−02


Coefficient (B)








Eighth
 5.517E−02
 1.891E−01
 2.470E−01
 1.062E−01
−2.378E−02
−1.178E−02


Coefficient (C)








Tenth
−2.584E−02
−1.014E−01
−1.281E−01
−5.324E−02
 5.553E−03
 2.864E−03


Coefficient (D)








Twelfth
 3.753E−03
 3.614E−02
 4.499E−02
 1.811E−02
−8.735E−04
−4.775E−04


Coefficient (E)








Fourteenth
 2.573E−03
−8.846E−03
−1.107E−02
−4.318E−03
 9.509E−05
 5.525E−05


Coefficient (F)








Sixteenth
−1.855E−03
 1.505E−03
 1.956E−03
 7.400E−04
−7.246E−06
−4.456E−06


Coefficient (G)








Eighteenth
 6.170E−04
−1.767E−04
−2.517E−04
−9.253E−05
 3.816E−07
 2.494E−07


Coefficient (H)








Twentieth
−1.292E−04
 1.377E−05
 2.371E−05
 8.472E−06
−1.310E−08
−9.480E−09


Coefficient (J)








Twenty-Second
 1.812E−05
−6.364E−07
−1.622E−06
−5.623E−07
 2.372E−10
 2.319E−10


Coefficient (L)








Twenty-Fourth
−1.706E−06
 9.905E−09
 7.867E−08
 2.634E−08
 8.098E−13
−3.152E−12


Coefficient (M)








Twenty-Sixth
 1.037E−07
 5.675E−10
−2.567E−09
−8.249E−10
−1.503E−13
 1.037E−14


Coefficient (N)








Twenty-Eighth
−3.677E−09
−3.251E−11
 5.061E−11
 1.549E−11
 3.203E−15
 2.790E−16


Coefficient (O)








Thirtieth
 5.787E−11
 5.106E−13
−4.553E−13
−1.318E−13
−2.423E−17
−2.740E−18


Coefficient (P)









Additionally, the optical imaging system 1000 configured as described above may have the aberration characteristics illustrated in FIG. 20.



FIG. 21 is a structural view of an optical imaging system according to an eleventh embodiment of the present disclosure, and FIG. 22 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 21.


Referring to FIG. 21, an optical imaging system 1100 according to the eleventh embodiment of the present disclosure includes a first lens 1101, a second lens 1102, a third lens 1103, a fourth lens 1104, a fifth lens 1105, a sixth lens 1106, a seventh lens 1107, an eighth lens 1108, and a ninth lens 1109, and may further include a filter 1110 and an image sensor IS.


The optical imaging system 1100 according to the eleventh embodiment of the present disclosure may form a focus on an imaging surface 1111. The imaging surface 1111 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 1111 may mean one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 21 below.















TABLE 21





Surface

Radius
Thickness
Index of
Abbe



Num-

of Cur-
or
Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
3.150
0.386
1.544
55.99
53.68


S2
Lens
3.376
0.048





S3
Second
3.209
0.933
1.544
55.99
6.02


S4
Lens
118.460
0.030





S5
Third
17.018
0.210
1.639
23.49
−9.71


S6
Lens
4.558
0.278





S7
Fourth
6.696
0.323
1.544
55.99
−489.05


S8
Lens
6.421
0.374





S9
Fifth
5.294
0.365
1.671
19.24
34.51


S10
Lens
6.648
0.676





S11
Sixth
19.699
0.480
1.544
55.99
500


S12
Lens
21.047
0.188





S13
Seventh
−6.571
0.380
1.614
25.94
−36.7


S14
Lens
−9.444
0.060





S15
Eighth
2.087
0.457
1.544
55.99
8.25


S16
Lens
3.588
1.460





S17
Ninth
30.338
0.400
1.535
55.74
−6.28


S18
Lens
3.020
0.304





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.657





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 1100 according to the eleventh embodiment of the present disclosure is 6.84 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.264°, SWA21 is 33.366°, and f12 is 5.659 mm.


In the eleventh embodiment of the present disclosure, the first lens 1101 has a positive refractive power, a first surface of the first lens 1101 is convex in the paraxial region, and a second surface of the first lens 1101 is concave in the paraxial region.


The second lens 1102 has a positive refractive power, a first surface of the second lens 1102 is convex in the paraxial region, and a second surface of the second lens 1102 is concave in the paraxial region.


The third lens 1103 has a negative refractive power, a first surface of the third lens 1103 is convex in the paraxial region, and a second surface of the third lens 1103 is concave in the paraxial region.


The fourth lens 1104 has a negative refractive power, a first surface of the fourth lens 1104 is convex in the paraxial region, and a second surface of the fourth lens 1104 is concave in the paraxial region.


The fifth lens 1105 has a positive refractive power, a first surface of the fifth lens 1105 is convex in the paraxial region, and a second surface of the fifth lens 1105 is concave in the paraxial region.


The sixth lens 1106 has a positive refractive power, a first surface of the sixth lens 1106 is convex in the paraxial region, and a second surface of the sixth lens 1106 is concave in the paraxial region.


The seventh lens 1107 has a negative refractive power, a first surface of the seventh lens 1107 is concave in the paraxial region, and a second surface of the seventh lens 1107 is convex in the paraxial region.


The eighth lens 1108 has a positive refractive power, a first surface of the eighth lens 1108 is convex in the paraxial region, and a second surface of the eighth lens 1108 is concave in the paraxial region.


The ninth lens 1109 has a negative refractive power, a first surface of the ninth lens 1109 is convex in the paraxial region, and a second surface of the ninth lens 1109 is concave in the paraxial region.


Additionally, one or more of the fifth lens 1105 to the ninth lens 1109 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 1101 to the ninth lens 1109 has aspherical coefficients as illustrated in Table 22 below. For example, both an object-side surface and an image-side surface of each of the first lens 1101 to the ninth lens 1109 are aspherical surfaces.















TABLE 22








S1
S2
S3
S4
S5
S6





Conic
−5.315
−12.128
−4.443
99.000
−2.170
4.574


Constant (K)








Fourth
 4.012E−03
 1.977E−02
 4.923E−03
−1.118E−02
 1.202E−02
 7.635E−03


Coefficient (A)








Sixth
 5.762E−02
 3.160E−02
 4.365E−02
 3.353E−02
−9.621E−02
−8.808E−02


Coefficient (B)








Eighth
−1.930E−01
−2.902E−01
−2.765E−01
−1.301E−01
 2.846E−01
 3.589E−01


Coefficient (C)








Tenth
 3.470E−01
 6.626E−01
 6.317E−01
 2.863E−01
−5.682E−01
−9.641E−01


Coefficient (D)








Twelfth
−4.027E−01
−8.482E−01
−8.267E−01
−3.879E−01
 7.969E−01
 1.745E+00


Coefficient (E)








Fourteenth
 3.210E−01
 7.117E−01
 7.150E−01
 3.513E−01
−7.975E−01
−2.209E+00


Coefficient (F)








Sixteenth
−1.817E−01
−4.163E−01
−4.337E−01
−2.225E−01
 5.773E−01
 1.997E+00


Coefficient (G)








Eighteenth
 7.429E−02
 1.745E−01
 1.895E−01
 1.008E−01
−3.041E−01
−1.304E+00


Coefficient (H)








Twentieth
−2.202E−02
−5.286E−02
−6.011E−02
−3.289E−02
 1.163E−01
 6.145E−01


Coefficient (J)








Twenty-Second
 4.687E−03
 1.149E−02
 1.374E−02
 7.676E−03
−3.190E−02
−2.068E−01


Coefficient (L)








Twenty-Fourth
−6.987E−04
−1.748E−03
−2.206E−03
−1.251E−03
 6.106E−03
 4.840E−02


Coefficient (M)








Twenty-Sixth
 6.924E−05
 1.769E−04
 2.365E−04
 1.355E−04
−7.735E−04
−7.483E−03


Coefficient (N)








Twenty-Eighth
−4.099E−06
−1.069E−05
−1.520E−05
−8.763E−06
 5.824E−05
 6.867E−04


Coefficient (O)








Thirtieth
 1.097E−07
 2.924E−07
 4.431E−07
 2.567E−07
−1.972E−06
−2.832E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−13.095
−86.384
−34.841
−35.682
−38.044
48.470


Constant (K)








Fourth
−1.046E−02
−1.872E−02
−4.558E−02
−3.459E−02
−5.916E−02
−9.678E−02


Coefficient (A)








Sixth
−2.853E−02
 7.166E−02
 1.037E−01
 2.592E−02
 4.636E−02
 7.136E−02


Coefficient (B)








Eighth
 1.946E−01
−2.583E−01
−3.449E−01
−4.707E−02
−4.987E−02
−8.827E−02


Coefficient (C)








Tenth
−5.238E−01
 6.411E−01
 7.772E−01
 5.728E−02
 4.095E−02
 9.094E−02


Coefficient (D)








Twelfth
 8.894E−01
−1.073E+00
−1.220E+00
−3.844E−02
−1.569E−02
−6.173E−02


Coefficient (E)








Fourteenth
−1.050E+00
 1.246E+00
 1.368E+00
 1.999E−03
−8.129E−03
 2.709E−02


Coefficient (F)








Sixteenth
 8.892E−01
−1.030E+00
−1.116E+00
 2.150E−02
 1.611E−02
−7.535E−03


Coefficient (G)








Eighteenth
−5.456E−01
 6.151E−01
 6.684E−01
−2.174E−02
−1.177E−02
 1.134E−03


Coefficient (H)








Twentieth
 2.424E−01
−2.664E−01
−2.938E−01
 1.173E−02
 5.272E−03
 1.624E−05


Coefficient (J)








Twenty-Second
−7.703E−02
 8.285E−02
 9.365E−02
−4.013E−03
−1.572E−03
−5.079E−05


Coefficient (L)








Twenty-Fourth
 1.705E−02
−1.803E−02
−2.107E−02
 8.959E−04
 3.133E−04
 1.230E−05


Coefficient (M)








Twenty-Sixth
−2.494E−03
 2.608E−03
 3.171E−03
−1.268E−04
−4.018E−05
−1.554E−06


Coefficient (N)








Twenty-Eighth
 2.165E−04
−2.252E−04
−2.865E−04
 1.032E−05
 2.998E−06
 1.067E−07


Coefficient (O)








Thirtieth
−8.443E−06
 8.791E−06
 1.175E−05
−3.679E−07
−9.893E−08
−3.142E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
2.497
1.346
−6.249
−10.620
30.268
−12.329


Constant (K)








Fourth
 3.212E−02
 5.676E−03
 1.085E−02
 3.664E−02
−8.605E−02
−4.521E−02


Coefficient (A)








Sixth
−9.529E−03
 1.491E−04
−1.171E−02
−2.141E−02
 3.316E−02
 1.667E−02


Coefficient (B)








Eighth
−4.148E−02
−1.551E−02
−4.099E−04
 2.950E−03
−1.090E−02
−5.295E−03


Coefficient (C)








Tenth
 7.175E−02
 2.565E−02
 4.620E−03
 2.578E−03
 2.904E−03
 1.297E−03


Coefficient (D)








Twelfth
−5.798E−02
−2.076E−02
−3.432E−03
−1.994E−03
−5.561E−04
−2.346E−04


Coefficient (E)








Fourteenth
 2.818E−02
 1.015E−02
 1.393E−03
 7.303E−04
 7.358E−05
 3.109E−05


Coefficient (F)








Sixteenth
−8.921E−03
−3.289E−03
−3.671E−04
−1.696E−04
−6.708E−06
−3.046E−06


Coefficient (G)








Eighteenth
 1.896E−03
 7.393E−04
 6.669E−05
 2.690E−05
 4.212E−07
 2.223E−07


Coefficient (H)








Twentieth
−2.703E−04
−1.176E−04
−8.515E−06
−2.983E−06
−1.793E−08
−1.208E−08


Coefficient (J)








Twenty-Second
 2.500E−05
 1.325E−05
 7.620E−07
 2.314E−07
 4.922E−10
 4.815E−10


Coefficient (L)








Twenty-Fourth
−1.370E−06
−1.035E−06
−4.669E−08
−1.229E−08
−7.556E−12
−1.365E−11


Coefficient (M)








Twenty-Sixth
 3.341E−08
 5.339E−08
 1.860E−09
 4.253E−10
 2.811E−14
 2.595E−13


Coefficient (N)








Twenty-Eighth
 2.335E−10
−1.637E−09
−4.330E−11
−8.625E−12
 8.857E−16
−2.960E−15


Coefficient (O)








Thirtieth
−1.915E−11
 2.259E−11
 4.454E−13
 7.763E−14
−1.016E−17
 1.526E−17


Coefficient (P)









Additionally, the optical imaging system 1100 configured as described above may have the aberration characteristics illustrated in FIG. 22.



FIG. 23 is a structural view of an optical imaging system according to a twelfth embodiment of the present disclosure, and FIG. 24 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 23.


Referring to FIG. 23, an optical imaging system 1200 according to the twelfth embodiment of the present invention includes a first lens 1201, a second lens 1202, a third lens 1203, a fourth lens 1204, a fifth lens 1205, a sixth lens 1206, a seventh lens 1207, an eighth lens 1208, and a ninth lens 1209, and may further include a filter 1210 and an image sensor IS.


The optical imaging system 1200 according to the twelfth embodiment of the present invention may form a focus on an imaging surface 1211. The imaging surface 1211 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 1211 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 23 below.















TABLE 23





Surface

Radius
Thickness
Index of
Abbe



Num-

of Cur-
or
Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
3.149
0.386
1.544
55.99
56.2


S2
Lens
3.357
0.053





S3
Second
3.192
0.934
1.544
55.99
6


S4
Lens
108.696
0.030





S5
Third
16.839
0.210
1.639
23.49
−9.77


S6
Lens
4.565
0.279





S7
Fourth
6.722
0.322
1.544
55.99
−497.84


S8
Lens
6.449
0.368





S9
Fifth
5.099
0.351
1.671
19.24
37.57


S10
Lens
6.196
0.668





S11
Sixth
19.741
0.480
1.544
55.99
−1101.82


S12
Lens
18.950
0.207





S13
Seventh
−6.851
0.380
1.614
25.94
500


S14
Lens
−6.846
0.060





S15
Eighth
2.212
0.440
1.544
55.99
10.5


S16
Lens
3.346
1.490





S17
Ninth
30.094
0.400
1.535
55.74
−6.37


S18
Lens
3.056
0.304





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.648





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 1200 according to the twelfth embodiment of the present invention is 6.84 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.281°, SWA21 is 33.538°, and f12 is 5.670 mm.


In the twelfth embodiment of the present invention, the first lens 1201 has positive refractive power, a first surface of the first lens 1201 is convex in the paraxial region, and a second surface of the first lens 1201 is concave in the paraxial region.


The second lens 1202 has a positive refractive power, a first surface of the second lens 1202 is convex in the paraxial region, and a second surface of the second lens 1202 is concave in the paraxial region.


The third lens 1203 has a negative refractive power, a first surface of the third lens 1203 is convex in the paraxial region, and a second surface of the third lens 1203 is concave in the paraxial region.


The fourth lens 1204 has a negative refractive power, a first surface of the fourth lens 1204 is convex in the paraxial region, and a second surface of the fourth lens 1204 is concave in the paraxial region.


The fifth lens 1205 has a positive refractive power, a first surface of the fifth lens 1205 is convex in the paraxial region, and a second surface of the fifth lens 1205 is concave in the paraxial region.


The sixth lens 1206 has a negative refractive power, a first surface of the sixth lens 1206 is convex in the paraxial region, and a second surface of the sixth lens 1206 is concave in the paraxial region.


The seventh lens 1207 has a positive refractive power, a first surface of the seventh lens 1207 is concave in the paraxial region, and a second surface of the seventh lens 1207 is convex in the paraxial region.


The eighth lens 1208 has a positive refractive power, a first surface of the eighth lens 1208 is convex in the paraxial region, and a second surface of the eighth lens 1208 is concave in the paraxial region.


The ninth lens 1209 has a negative refractive power, a first surface of the ninth lens 1209 is convex in the paraxial region, and a second surface of the ninth lens 1209 is concave in the paraxial region.


Additionally, one or more of the fifth lens 1205 to the ninth lens 1209 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 1201 to the ninth lens 1209 has aspherical coefficients as illustrated in Table 24 below. For example, both an object-side surface and an image-side surface of each of the first lens 1201 to the ninth lens 1209 are aspherical surfaces.















TABLE 24








S1
S2
S3
S4
S5
S6





Conic
−5.303
−12.128
−4.451
99.000
−1.397
4.571


Constant (K)








Fourth
 6.201E−03
 2.124E−02
 6.961E−03
−1.223E−02
 5.382E−03
 5.886E−03


Coefficient (A)








Sixth
 4.462E−02
 3.389E−04
 8.614E−03
 3.152E−02
−7.034E−02
−8.015E−02


Coefficient (B)








Eighth
−1.546E−01
−1.572E−01
−1.350E−01
−1.011E−01
 2.490E−01
 3.463E−01


Coefficient (C)








Tenth
 2.789E−01
 3.852E−01
 3.447E−01
 2.060E−01
−5.602E−01
−9.562E−01


Coefficient (D)








Twelfth
−3.236E−01
−4.948E−01
−4.678E−01
−2.717E−01
 8.372E−01
 1.746E+00


Coefficient (E)








Fourteenth
 2.575E−01
 4.096E−01
 4.127E−01
 2.445E−01
−8.642E−01
−2.213E+00


Coefficient (F)








Sixteenth
−1.456E−01
−2.350E−01
−2.544E−01
−1.552E−01
 6.345E−01
 2.000E+00


Coefficient (G)








Eighteenth
 5.948E−02
 9.635E−02
 1.131E−01
 7.061E−02
−3.362E−01
−1.305E+00


Coefficient (H)








Twentieth
−1.763E−02
−2.853E−02
−3.653E−02
−2.313E−02
 1.289E−01
 6.144E−01


Coefficient (J)








Twenty-Second
 3.753E−03
 6.063E−03
 8.523E−03
 5.408E−03
−3.539E−02
−2.067E−01


Coefficient (L)








Twenty-Fourth
−5.599E−04
−9.025E−04
−1.400E−03
−8.812E−04
 6.777E−03
 4.839E−02


Coefficient (M)








Twenty-Sixth
 5.554E−05
 8.941E−05
 1.538E−04
 9.516E−05
−8.591E−04
−7.484E−03


Coefficient (N)








Twenty-Eighth
−3.292E−06
−5.298E−06
−1.013E−05
−6.129E−06
 6.475E−05
 6.872E−04


Coefficient (O)








Thirtieth
 8.822E−08
 1.421E−07
 3.033E−07
 1.785E−07
−2.196E−06
−2.836E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−13.691
−88.386
−34.859
−33.513
−19.988
40.301


Constant (K)








Fourth
−1.040E−02
−2.019E−02
−4.450E−02
−3.309E−02
−5.583E−02
−9.151E−02


Coefficient (A)








Sixth
−3.899E−02
 7.392E−02
 9.530E−02
 1.509E−02
 3.728E−02
 6.240E−02


Coefficient (B)








Eighth
 2.565E−01
−2.578E−01
−3.145E−01
−9.315E−03
−3.394E−02
−8.264E−02


Coefficient (C)








Tenth
−7.058E−01
 6.296E−01
 7.097E−01
−2.240E−02
 1.871E−02
 9.265E−02


Coefficient (D)








Twelfth
 1.224E+00
−1.036E+00
−1.121E+00
 7.431E−02
 8.946E−03
−6.821E−02


Coefficient (E)








Fourteenth
−1.469E+00
 1.173E+00
 1.269E+00
−1.098E−01
−2.870E−02
 3.334E−02


Coefficient (F)








Sixteenth
 1.261E+00
−9.390E−01
−1.048E+00
 1.011E−01
 2.870E−02
−1.114E−02


Coefficient (G)








Eighteenth
−7.841E−01
 5.385E−01
 6.363E−01
−6.303E−02
−1.736E−02
 2.562E−03


Coefficient (H)








Twentieth
 3.532E−01
−2.218E−01
−2.839E−01
 2.735E−02
 7.070E−03
−3.878E−04


Coefficient (J)








Twenty-Second
−1.140E−01
 6.490E−02
 9.189E−02
−8.285E−03
−1.985E−03
 3.125E−05


Coefficient (L)








Twenty-Fourth
 2.569E−02
−1.313E−02
−2.099E−02
 1.718E−03
 3.798E−04
 6.343E−07


Coefficient (M)








Twenty-Sixth
−3.832E−03
 1.740E−03
 3.205E−03
−2.323E−04
−4.729E−05
−4.535E−07


Coefficient (N)








Twenty-Eighth
 3.399E−04
−1.354E−04
−2.936E−04
 1.845E−05
 3.454E−06
 4.503E−08


Coefficient (O)








Thirtieth
−1.357E−05
 4.665E−06
 1.219E−05
−6.515E−07
−1.122E−07
−1.595E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
2.715
−2.440
−6.162
−10.918
29.778
−12.260


Constant (K)








Fourth
 2.475E−02
 1.481E−02
 1.452E−02
 3.653E−02
−8.372E−02
−4.428E−02


Coefficient (A)








Sixth
 1.179E−03
−5.263E−03
−1.833E−02
−2.197E−02
 3.185E−02
 1.616E−02


Coefficient (B)








Eighth
−5.736E−02
−1.450E−02
 6.590E−03
 4.232E−03
−1.033E−02
−5.083E−03


Coefficient (C)








Tenth
 9.035E−02
 2.813E−02
−4.862E−05
 1.581E−03
 2.714E−03
 1.232E−03


Coefficient (D)








Twelfth
−7.306E−02
−2.384E−02
−1.359E−03
−1.563E−03
−5.124E−04
−2.206E−04


Coefficient (E)








Fourteenth
 3.660E−02
 1.200E−02
 7.500E−04
 6.093E−04
 6.684E−05
 2.897E−05


Coefficient (F)








Sixteenth
−1.223E−02
−3.985E−03
−2.239E−04
−1.461E−04
−6.006E−06
−2.814E−06


Coefficient (G)








Eighteenth
 2.822E−03
 9.182E−04
 4.343E−05
 2.363E−05
 3.714E−07
 2.038E−07


Coefficient (H)








Twentieth
−4.552E−04
−1.498E−04
−5.754E−06
−2.655E−06
−1.555E−08
−1.100E−08


Coefficient (J)








Twenty-Second
 5.119E−05
 1.730E−05
 5.243E−07
 2.078E−07
 4.188E−10
 4.361E−10


Coefficient (L)








Twenty-Fourth
−3.934E−06
−1.386E−06
−3.220E−08
−1.109E−08
−6.238E−12
−1.230E−11


Coefficient (M)








Twenty-Sixth
 1.984E−07
 7.332E−08
 1.266E−09
 3.849E−10
 1.944E−14
 2.331E−13


Coefficient (N)








Twenty-Eighth
−6.027E−09
−2.305E−09
−2.859E−11
−7.805E−12
 7.868E−16
−2.649E−15


Coefficient (O)








Thirtieth
 8.674E−11
 3.261E−11
 2.791E−13
 7.005E−14
−8.601E−18
 1.361E−17


Coefficient (P)









Additionally, the optical imaging system 1200 configured as described above may have the aberration characteristics illustrated in FIG. 24.



FIG. 25 is a structural view of an optical imaging system according to a thirteenth embodiment of the present disclosure, and FIG. 26 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 25.


Referring to FIG. 25, an optical imaging system 1300 according to the thirteenth embodiment of the present invention includes a first lens 1301, a second lens 1302, a third lens 1303, a fourth lens 1304, a fifth lens 1305, a sixth lens 1306, a seventh lens 1307, an eighth lens 1308, and a ninth lens 1309, and may further include a filter 1310 and an image sensor IS.


The optical imaging system 1300 according to the thirteenth embodiment of the present invention may form a focus on an imaging surface 1311. The imaging surface 1311 may denote a surface on which a focus is formed by the optical imaging system. For example, the imaging surface 1311 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 25 below.















TABLE 25





Surface

Radius
Thickness
Index of
Abbe



Num-

of Cur-
or
Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
3.150
0.385
1.544
55.99
61.66


S2
Lens
3.325
0.056





S3
Second
3.163
0.933
1.544
55.99
5.94


S4
Lens
110.213
0.030





S5
Third
16.884
0.210
1.639
23.49
−9.78


S6
Lens
4.572
0.276





S7
Fourth
6.722
0.320
1.544
55.99
−496.4


S8
Lens
6.449
0.368





S9
Fifth
5.136
0.352
1.671
19.24
39.09


S10
Lens
6.192
0.671





S11
Sixth
18.581
0.480
1.544
55.99
500


S12
Lens
19.755
0.206





S13
Seventh
−6.817
0.380
1.614
25.94
500


S14
Lens
−6.813
0.060





S15
Eighth
2.196
0.428
1.544
55.99
10.87


S16
Lens
3.245
1.517





S17
Ninth
30.100
0.400
1.535
55.74
−6.43


S18
Lens
3.083
0.304





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.634





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 600 according to the thirteenth embodiment of the present invention is 6.84 mm, Fno is 1.59, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 19.309°, SWA21 is 33.511°, and f12 is 5.670 mm.


In the thirteenth embodiment of the present invention, the first lens 1301 has a positive refractive power, a first surface of the first lens 1301 is convex in the paraxial region, and a second surface of the first lens 1301 is concave in the paraxial region.


The second lens 1302 has a positive refractive power, a first surface of the second lens 1302 is convex in the paraxial region, and a second surface of the second lens 1302 is concave in the paraxial region.


The third lens 1303 has a negative refractive power, a first surface of the third lens 1303 is convex in the paraxial region, and a second surface of the third lens 1303 is concave in the paraxial region.


The fourth lens 1304 has a negative refractive power, a first surface of the fourth lens 1304 is convex in the paraxial region, and a second surface of the fourth lens 1304 is concave in the paraxial region.


The fifth lens 1305 has a positive refractive power, a first surface of the fifth lens 1305 is convex in the paraxial region, and a second surface of the fifth lens 1305 is concave in the paraxial region.


The sixth lens 1306 has a positive refractive power, a first surface of the sixth lens 1306 is convex in the paraxial region, and a second surface of the sixth lens 1306 is concave in the paraxial region.


The seventh lens 1307 has a positive refractive power, a first surface of the seventh lens 1307 is concave in the paraxial region, and a second surface of the seventh lens 1307 is convex in the paraxial region.


The eighth lens 1308 has a positive refractive power, a first surface of the eighth lens 1308 is convex in the paraxial region, and a second surface of the eighth lens 1308 is concave in the paraxial region.


The ninth lens 1309 has a negative refractive power, a first surface of the ninth lens 1309 is convex in the paraxial region, and a second surface of the ninth lens 1309 is concave in the paraxial region.


Additionally, one or more of the fifth lens 1305 to the ninth lens 1309 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 1301 to the ninth lens 1309 has aspherical coefficients as illustrated in Table 26 below. For example, both an object-side surface and an image-side surface of each of the first lens 1301 to the ninth lens 1309 are aspherical surfaces.















TABLE 26








S1
S2
S3
S4
S5
S6





Conic
−5.265
−12.081
−4.497
99.000
−3.771
4.570


Constant (K)








Fourth
 9.723E−03
 2.466E−02
 7.356E−03
−1.211E−02
 3.957E−04
 5.762E−03


Coefficient (A)








Sixth
 2.709E−02
−2.842E−02
−5.257E−03
 2.186E−02
−5.221E−02
−8.331E−02


Coefficient (B)








Eighth
−1.091E−01
−5.727E−02
−7.819E−02
−5.531E−02
 2.206E−01
 3.822E−01


Coefficient (C)








Tenth
 2.058E−01
 1.945E−01
 2.327E−01
 1.017E−01
−5.443E−01
−1.087E+00


Coefficient (D)








Twelfth
−2.448E−01
−2.652E−01
−3.343E−01
−1.267E−01
 8.533E−01
 2.009E+00


Coefficient (E)








Fourteenth
 1.982E−01
 2.221E−01
 3.066E−01
 1.099E−01
−9.036E−01
−2.550E+00


Coefficient (F)








Sixteenth
−1.136E−01
−1.270E−01
−1.956E−01
−6.758E−02
 6.724E−01
 2.295E+00


Coefficient (G)








Eighteenth
 4.689E−02
 5.159E−02
 8.975E−02
 2.975E−02
−3.587E−01
−1.487E+00


Coefficient (H)








Twentieth
−1.402E−02
−1.511E−02
−2.990E−02
−9.366E−03
 1.379E−01
 6.942E−01


Coefficient (J)








Twenty-Second
 3.008E−03
 3.173E−03
 7.177E−03
 2.087E−03
−3.789E−02
−2.314E−01


Coefficient (L)








Twenty-Fourth
−4.517E−04
−4.669E−04
−1.210E−03
−3.206E−04
 7.252E−03
 5.369E−02


Coefficient (M)








Twenty-Sixth
 4.508E−05
 4.575E−05
 1.361E−04
 3.228E−05
−9.181E−04
−8.229E−03


Coefficient (N)








Twenty-Eighth
−2.687E−06
−2.683E−06
−9.163E−06
−1.918E−06
 6.907E−05
 7.489E−04


Coefficient (O)








Thirtieth
 7.240E−08
 7.133E−08
 2.794E−07
 5.110E−08
−2.338E−06
−3.064E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−13.538
−85.440
−33.417
−32.487
−20.904
44.577


Constant (K)








Fourth
−1.237E−02
−2.197E−02
−4.111E−02
−3.479E−02
−5.655E−02
−9.796E−02


Coefficient (A)








Sixth
−2.377E−02
 8.236E−02
 6.809E−02
 2.377E−02
 3.809E−02
 7.745E−02


Coefficient (B)








Eighth
 1.996E−01
−2.792E−01
−2.084E−01
−3.481E−02
−2.898E−02
−1.063E−01


Coefficient (C)








Tenth
−5.686E−01
 6.656E−01
 4.542E−01
 2.706E−02
 4.089E−03
 1.225E−01


Coefficient (D)








Twelfth
 9.954E−01
−1.079E+00
−7.044E−01
 9.334E−03
 2.957E−02
−9.647E−02


Coefficient (E)








Fourteenth
−1.197E+00
 1.214E+00
 7.889E−01
−5.028E−02
−4.726E−02
 5.302E−02


Coefficient (F)








Sixteenth
 1.026E+00
−9.706E−01
−6.483E−01
 6.235E−02
 4.031E−02
−2.122E−02


Coefficient (G)








Eighteenth
−6.360E−01
 5.592E−01
 3.941E−01
−4.487E−02
−2.259E−02
 6.352E−03


Coefficient (H)








Twentieth
 2.852E−01
−2.326E−01
−1.769E−01
 2.123E−02
 8.779E−03
−1.429E−03


Coefficient (J)








Twenty-Second
−9.151E−02
 6.917E−02
 5.788E−02
−6.816E−03
−2.388E−03
 2.368E−04


Coefficient (L)








Twenty-Fourth
 2.047E−02
−1.432E−02
−1.341E−02
 1.474E−03
 4.463E−04
−2.768E−05


Coefficient (M)








Twenty-Sixth
−3.029E−03
 1.960E−03
 2.084E−03
−2.058E−04
−5.458E−05
 2.122E−06


Coefficient (N)








Twenty-Eighth
 2.664E−04
−1.592E−04
−1.945E−04
 1.675E−05
 3.930E−06
−9.388E−08


Coefficient (O)








Thirtieth
−1.053E−05
 5.814E−06
 8.242E−06
−6.030E−07
−1.261E−07
 1.763E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
2.610
−2.850
−6.044
−10.652
29.835
−12.297


Constant (K)








Fourth
 1.874E−02
 1.748E−02
 1.767E−02
 3.816E−02
−8.243E−02
−4.355E−02


Coefficient (A)








Sixth
 1.180E−02
−9.318E−03
−2.322E−02
−2.386E−02
 3.106E−02
 1.586E−02


Coefficient (B)








Eighth
−7.060E−02
−1.005E−02
 1.132E−02
 5.707E−03
−9.985E−03
−4.990E−03


Coefficient (C)








Tenth
 1.035E−01
 2.448E−02
−3.180E−03
 7.466E−04
 2.603E−03
 1.208E−03


Coefficient (D)








Twelfth
−8.290E−02
−2.162E−02
 1.159E−04
−1.213E−03
−4.875E−04
−2.156E−04


Coefficient (E)








Fourteenth
 4.197E−02
 1.102E−02
 2.512E−04
 5.015E−04
 6.307E−05
 2.815E−05


Coefficient (F)








Sixteenth
−1.437E−02
−3.670E−03
−1.021E−04
−1.220E−04
−5.623E−06
−2.713E−06


Coefficient (G)








Eighteenth
 3.446E−03
 8.447E−04
 2.191E−05
 1.972E−05
 3.451E−07
 1.948E−07


Coefficient (H)








Twentieth
−5.888E−04
−1.374E−04
−3.012E−06
−2.201E−06
−1.435E−08
−1.042E−08


Coefficient (J)








Twenty-Second
 7.180E−05
 1.580E−05
 2.758E−07
 1.702E−07
 3.844E−10
 4.091E−10


Coefficient (L)








Twenty-Fourth
−6.168E−06
−1.260E−06
−1.663E−08
−8.951E−09
−5.732E−12
−1.143E−11


Coefficient (M)








Twenty-Sixth
 3.593E−07
 6.631E−08
 6.280E−10
 3.047E−10
 1.956E−14
 2.145E−13


Coefficient (N)








Twenty-Eighth
−1.294E−08
−2.073E−09
−1.322E−11
−6.037E−12
 6.704E−16
−2.414E−15


Coefficient (O)








Thirtieth
 2.206E−10
 2.916E−11
 1.148E−13
 5.266E−14
−7.406E−18
 1.229E−17


Coefficient (P)









Additionally, the optical imaging system 1300 configured as described above may have the aberration characteristics illustrated in FIG. 26.



FIG. 27 is a structural view of an optical imaging system according to a fourteenth embodiment of the present disclosure, and FIG. 28 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 27.


Referring to FIG. 27, an optical imaging system 1400 according to the fourteenth embodiment of the present invention includes a first lens 1401, a second lens 1402, a third lens 1403, a fourth lens 1404, a fifth lens 1405, a sixth lens 1406, a seventh lens 1407, an eighth lens 1408, and a ninth lens 1409, and may further include a filter 1410 and an image sensor IS.


The optical imaging system 1400 according to the fourteenth embodiment of the present invention may form a focus on an imaging surface 1411. The imaging surface 1411 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 1411 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 27 below.















TABLE 27





Surface

Radius
Thickness
Index of
Abbe



Num-

of Cur-
or
Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
3.112
0.410
1.544
55.99
37.73


S2
Lens
3.494
0.067





S3
Second
3.316
1.039
1.544
55.99
6.26


S4
Lens
96.614
0.030





S5
Third
17.681
0.295
1.639
23.49
−9.58


S6
Lens
4.552
0.243





S7
Fourth
6.133
0.411
1.544
55.99
23.44


S8
Lens
11.490
0.540





S9
Fifth
19.705
0.367
1.671
19.24
−57.87


S10
Lens
13.024
0.370





S11
Sixth
26.215
0.480
1.544
55.99
−65.66


S12
Lens
15.049
0.164





S13
Seventh
−6.531
0.413
1.614
25.94
−121.29


S14
Lens
−7.325
0.060





S15
Eighth
2.198
0.495
1.544
55.99
8.14


S16
Lens
4.002
1.262





S17
Ninth
33.575
0.425
1.535
55.74
−5.68


S18
Lens
2.783
0.868





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.070





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 1400 according to the fourteenth embodiment of the present invention is 6.83 mm, Fno is 1.49, IMG HT is 6 mm, FOV is 80.5°, SWA11 is 20.181°, SWA21 is 34.613°, and f12 is 5.623 mm.


In the fourteenth embodiment of the present invention, the first lens 1401 has a positive refractive power, a first surface of the first lens 1401 is convex in the paraxial region, and a second surface of the first lens 1401 is concave in the paraxial region.


The second lens 1402 has a positive refractive power, a first surface of the second lens 1402 is convex in the paraxial region, and a second surface of the second lens 1402 is concave in the paraxial region.


The third lens 1403 has a negative refractive power, a first surface of the third lens 1403 is convex in the paraxial region, and a second surface of the third lens 1403 is concave in the paraxial region.


The fourth lens 1404 has a positive refractive power, a first surface of the fourth lens 1404 is convex in the paraxial region, and a second surface of the fourth lens 1404 is concave in the paraxial region.


The fifth lens 1405 has a negative refractive power, a first surface of the fifth lens 1405 is convex in the paraxial region, and a second surface of the fifth lens 1405 is concave in the paraxial region.


The sixth lens 1406 has a negative refractive power, a first surface of the sixth lens 1406 is convex in the paraxial region, and a second surface of the sixth lens 1406 is concave in the paraxial region.


The seventh lens 1407 has a negative refractive power, a first surface of the seventh lens 1407 is concave in the paraxial region, and a second surface of the seventh lens 1407 is convex in the paraxial region.


The eighth lens 1408 has a positive refractive power, a first surface of the eighth lens 1408 is convex in the paraxial region, and a second surface of the eighth lens 1408 is concave in the paraxial region.


The ninth lens 1409 has a negative refractive power, a first surface of the ninth lens 1409 is convex in the paraxial region, and a second surface of the ninth lens 1409 is concave in the paraxial region.


Additionally, one or more of the fifth lens 1405 to the ninth lens 1409 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 1401 to the ninth lens 1409 has aspherical coefficients as illustrated in Table 28 below. For example, both an object-side surface and an image-side surface of each of the first lens 1401 to the ninth lens 1409 are aspherical surfaces.















TABLE 28








S1
S2
S3
S4
S5
S6





Conic
−4.915
−12.307
−4.362
99.000
10.694
4.554


Constant (K)








Fourth
 1.472E−02
 1.022E−02
−1.835E−03
 3.071E−02
 2.295E−02
 1.071E−02


Coefficient (A)








Sixth
−1.508E−02
−1.569E−02
−8.326E−05
−1.448E−01
−1.483E−01
−1.915E−01


Coefficient (B)








Eighth
 2.611E−02
 1.476E−02
 4.518E−03
 3.069E−01
 3.740E−01
 8.442E−01


Coefficient (C)








Tenth
−3.675E−02
−1.829E−02
−1.241E−02
−4.203E−01
−6.158E−01
−2.275E+00


Coefficient (D)








Twelfth
 3.508E−02
 2.017E−02
 1.881E−02
 3.967E−01
 7.105E−01
 4.032E+00


Coefficient (E)








Fourteenth
−2.344E−02
−1.496E−02
−1.607E−02
−2.631E−01
−5.830E−01
−4.902E+00


Coefficient (F)








Sixteenth
 1.119E−02
 7.336E−03
 8.726E−03
 1.236E−01
 3.438E−01
 4.203E+00


Coefficient (G)








Eighteenth
−3.850E−03
−2.400E−03
−3.192E−03
−4.099E−02
−1.467E−01
−2.582E+00


Coefficient (H)








Twentieth
 9.544E−04
 5.131E−04
 8.012E−04
 9.454E−03
 4.527E−02
 1.141E+00


Coefficient (J)








Twenty-Second
−1.685E−04
−6.567E−05
−1.363E−04
−1.455E−03
−9.991E−03
−3.594E−01


Coefficient (L)








Twenty-Fourth
 2.061E−05
 3.388E−06
 1.502E−05
 1.352E−04
 1.536E−03
 7.879E−02


Coefficient (M)








Twenty-Sixth
−1.656E−06
 2.678E−07
−9.627E−07
−5.426E−06
−1.559E−04
−1.141E−02


Coefficient (N)








Twenty-Eighth
 7.836E−08
−4.885E−08
 2.611E−08
−1.443E−07
 9.391E−06
 9.824E−04


Coefficient (O)








Thirtieth
−1.647E−09
 2.101E−09
 1.259E−10
 1.613E−08
−2.537E−07
−3.803E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−8.127
−53.603
−24.476
−44.380
15.028
1.666


Constant (K)








Fourth
 4.466E−03
 4.062E−03
−2.750E−02
−2.920E−02
−6.257E−02
−9.148E−02


Coefficient (A)








Sixth
−3.158E−02
−4.247E−02
 2.020E−02
 9.525E−03
 3.873E−02
 4.383E−02


Coefficient (B)








Eighth
 9.498E−02
 1.681E−01
−1.211E−01
−1.379E−02
−3.081E−02
−9.348E−03


Coefficient (C)








Tenth
−2.109E−01
−4.550E−01
 3.633E−01
 1.400E−02
 4.442E−02
−1.104E−02


Coefficient (D)








Twelfth
 3.397E−01
 8.422E−01
−6.809E−01
−5.307E−03
−6.870E−02
 1.548E−02


Coefficient (E)








Fourteenth
−3.940E−01
−1.090E+00
 8.579E−01
−9.870E−03
 7.347E−02
−1.147E−02


Coefficient (F)








Sixteenth
 3.312E−01
 1.003E+00
−7.574E−01
 1.846E−02
−5.288E−02
 5.873E−03


Coefficient (G)








Eighteenth
−2.024E−01
−6.627E−01
 4.789E−01
−1.541E−02
 2.627E−02
−2.144E−03


Coefficient (H)








Twentieth
 8.961E−02
 3.142E−01
−2.184E−01
 7.855E−03
−9.127E−03
 5.575E−04


Coefficient (J)








Twenty-Second
−2.838E−02
−1.058E−01
 7.132E−02
−2.624E−03
 2.213E−03
−1.026E−04


Coefficient (L)








Twenty-Fourth
 6.254E−03
 2.465E−02
−1.629E−02
 5.784E−04
−3.664E−04
 1.309E−05


Coefficient (M)








Twenty-Sixth
−9.092E−04
−3.773E−03
 2.471E−03
−8.126E−05
 3.945E−05
−1.103E−06


Coefficient (N)








Twenty-Eighth
 7.831E−05
 3.408E−04
−2.241E−04
 6.597E−06
−2.484E−06
 5.524E−08


Coefficient (O)








Thirtieth
−3.023E−06
−1.374E−05
 9.191E−06
−2.355E−07
 6.931E−08
−1.241E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.582
1.778
−7.010
−12.692
30.689
−17.741


Constant (K)








Fourth
 3.804E−02
−7.739E−03
−9.790E−04
 2.404E−02
−1.132E−01
−4.777E−02


Coefficient (A)








Sixth
−3.480E−02
 3.571E−02
 1.792E−02
−1.988E−03
 5.994E−02
 2.150E−02


Coefficient (B)








Eighth
 3.010E−02
−6.116E−02
−3.639E−02
−1.387E−02
−2.608E−02
−8.081E−03


Coefficient (C)








Tenth
−2.189E−02
 6.020E−02
 3.018E−02
 1.160E−02
 8.445E−03
 2.245E−03


Coefficient (D)








Twelfth
 1.222E−02
−3.811E−02
−1.539E−02
−5.165E−03
−1.911E−03
−4.485E−04


Coefficient (E)








Fourteenth
−5.409E−03
 1.629E−02
 5.316E−03
 1.498E−03
 3.017E−04
 6.475E−05


Coefficient (F)








Sixteenth
 1.784E−03
−4.867E−03
−1.299E−03
−3.014E−04
−3.379E−05
−6.859E−06


Coefficient (G)








Eighteenth
−3.721E−04
 1.036E−03
 2.288E−04
 4.324E−05
 2.720E−06
 5.382E−07


Coefficient (H)








Twentieth
 2.887E−05
−1.584E−04
−2.916E−05
−4.455E−06
−1.581E−07
−3.123E−08


Coefficient (J)








Twenty-Second
 6.760E−06
 1.725E−05
 2.658E−06
 3.270E−07
 6.580E−09
 1.320E−09


Coefficient (L)








Twenty-Fourth
−2.285E−06
−1.307E−06
−1.686E−07
−1.668E−08
−1.916E−10
−3.944E−11


Coefficient (M)








Twenty-Sixth
 2.950E−07
 6.551E−08
 7.051E−09
 5.614E−10
 3.707E−12
 7.860E−13


Coefficient (N)








Twenty-Eighth
−1.876E−08
−1.954E−09
−1.745E−10
−1.119E−11
−4.285E−14
−9.355E−15


Coefficient (O)








Thirtieth
 4.847E−10
 2.627E−11
 1.933E−12
 1.001E−13
 2.239E−16
 5.017E−17


Coefficient (P)









Additionally, the optical imaging system 1400 configured as described above may have the aberration characteristics illustrated in FIG. 28.



FIG. 29 is a structural view of an optical imaging system according to a fifteenth embodiment of the present disclosure, and FIG. 30 is a view illustrating aberration characteristics of the optical imaging system illustrated in FIG. 29.


Referring to FIG. 29, an optical imaging system 1500 according to the fifteenth embodiment of the present invention includes a first lens 1501, a second lens 1502, a third lens 1503, a fourth lens 1504, a fifth lens 1505, a sixth lens 1506, a seventh lens 1507, an eighth lens 1508, and a ninth lens 1509, and may further include a filter 1510 and an image sensor IS.


The optical imaging system 1500 according to the fifteenth embodiment of the present invention may form a focus on an imaging surface 1511. The imaging surface 1511 may denote a surface on which a focus is formed by the optical imaging system. In an example, the imaging surface 1511 may denote one surface of the image sensor IS on which light is received.


The lens characteristics (a radius of curvature, a lens thickness, a distance between lenses, an index of refraction, an Abbe number, and a focal length) of each lens are illustrated in Table 29 below.















TABLE 29





Surface

Radius
Thickness
Index of
Abbe



Num-

of Cur-
or
Re-
Num-
Focal


ber
Element
vature
Distance
fraction
ber
Length





















S1
First
3.110
0.374
1.544
55.99
37.06


S2
Lens
3.519
0.111





S3
Second
3.338
0.949
1.544
55.99
6.36


S4
Lens
75.139
0.033





S5
Third
16.743
0.210
1.639
23.49
−9.72


S6
Lens
4.541
0.226





S7
Fourth
5.762
0.388
1.544
55.99
21.7


S8
Lens
10.941
0.609





S9
Fifth
51.940
0.401
1.671
19.24
−52.34


S10
Lens
21.033
0.402





S11
Sixth
39.872
0.480
1.544
55.99
−66.59


S12
Lens
18.943
0.163





S13
Seventh
−6.448
0.380
1.614
25.94
−90.53


S14
Lens
−7.449
0.060





S15
Eighth
2.156
0.538
1.544
55.99
7.89


S16
Lens
3.937
1.228





S17
Ninth
32.913
0.400
1.535
55.74
−5.95


S18
Lens
2.900
0.306





S19
Filter
Infinity
0.210
1.517
64.20



S20

Infinity
0.751





S21
Imaging
Infinity







Surface









A total focal length f of the optical imaging system 1500 according to the fifteenth embodiment of the present invention is 6.84 mm, Fno is 1.69, IMG HT is 6 mm, FOV is 80.49°, SWA11 is 19.045°, SWA21 is 33.395°, and f12 is 5.671 mm.


In the fifteenth embodiment of the present invention, the first lens 1501 has a positive refractive power, a first surface of the first lens 1501 is convex in the paraxial region, and a second surface of the first lens 1501 is concave in the paraxial region.


The second lens 1502 has a positive refractive power, a first surface of the second lens 1502 is convex in the paraxial region, and a second surface of the second lens 1502 is concave in the paraxial region.


The third lens 1503 has a negative refractive power, a first surface of the third lens 1503 is convex in the paraxial region, and a second surface of the third lens 1503 is concave in the paraxial region.


The fourth lens 1504 has a positive refractive power, a first surface of the fourth lens 1504 is convex in the paraxial region, and a second surface of the fourth lens 1504 is concave in the paraxial region.


The fifth lens 1505 has a negative refractive power, a first surface of the fifth lens 1505 is convex in the paraxial region, and a second surface of the fifth lens 1505 is concave in the paraxial region.


The sixth lens 1506 has a negative refractive power, a first surface of the sixth lens 1506 is convex in the paraxial region, and a second surface of the sixth lens 1506 is concave in the paraxial region.


The seventh lens 1507 has a negative refractive power, a first surface of the seventh lens 1507 is concave in the paraxial region, and a second surface of the seventh lens 1507 is convex in the paraxial region.


The eighth lens 1508 has a positive refractive power, a first surface of the eighth lens 1508 is convex in the paraxial region, and a second surface of the eighth lens 1508 is concave in the paraxial region.


The ninth lens 1509 has a negative refractive power, a first surface of the ninth lens 1509 is convex in the paraxial region, and a second surface of the ninth lens 1509 is concave in the paraxial region.


Additionally, one or more of the fifth lens 1505 to the ninth lens 1509 has at least one inflection point formed on either one or both of the first surface and the second surface thereof.


Each surface of the first lens 1501 to the ninth lens 1509 has aspherical coefficients as illustrated in Table 30 below. For example, both an object-side surface and an image-side surface of each of the first lens 1501 to the ninth lens 1509 are aspherical surfaces.















TABLE 30








S1
S2
S3
S4
S5
S6





Conic
−5.517
−12.092
−4.259
99.000
20.052
4.565


Constant (K)








Fourth
 1.933E−02
 1.397E−02
−2.160E−03
 4.518E−02
 3.735E−02
 6.053E−03


Coefficient (A)








Sixth
−3.085E−02
−4.567E−02
 1.093E−03
−2.702E−01
−2.608E−01
−1.387E−01


Coefficient (B)








Eighth
 6.061E−02
 1.079E−01
−8.651E−03
 7.191E−01
 7.711E−01
 5.715E−01


Coefficient (C)








Tenth
−9.012E−02
−1.882E−01
 4.058E−02
−1.197E+00
−1.430E+00
−1.469E+00


Coefficient (D)








Twelfth
 9.244E−02
 2.266E−01
−8.070E−02
 1.352E+00
 1.814E+00
 2.542E+00


Coefficient (E)








Fourteenth
−6.691E−02
−1.899E−01
 9.668E−02
−1.077E+00
−1.632E+00
−3.073E+00


Coefficient (F)








Sixteenth
 3.473E−02
 1.132E−01
−7.649E−02
 6.190E−01
 1.064E+00
 2.656E+00


Coefficient (G)








Eighteenth
−1.303E−02
−4.860E−02
 4.166E−02
−2.594E−01
−5.069E−01
−1.659E+00


Coefficient (H)








Twentieth
 3.526E−03
 1.508E−02
−1.590E−02
 7.928E−02
 1.766E−01
 7.502E−01


Coefficient (J)








Twenty-Second
−6.799E−04
−3.351E−03
 4.248E−03
−1.746E−02
−4.441E−02
−2.429E−01


Coefficient (L)








Twenty-Fourth
 9.075E−05
 5.199E−04
−7.795E−04
 2.697E−03
 7.846E−03
 5.487E−02


Coefficient (M)








Twenty-Sixth
−7.927E−06
−5.349E−05
 9.363E−05
−2.768E−04
−9.231E−04
−8.209E−03


Coefficient (N)








Twenty-Eighth
 4.050E−07
 3.279E−06
−6.632E−06
 1.694E−05
 6.490E−05
 7.306E−04


Coefficient (O)








Thirtieth
−9.087E−09
−9.062E−08
 2.101E−07
−4.671E−07
−2.061E−06
−2.928E−05


Coefficient (P)






S7
S8
S9
S10
S11
S12





Conic
−8.237
−64.854
−99.000
−74.600
56.326
10.586


Constant (K)








Fourth
 6.270E−04
−7.096E−03
−2.960E−02
−3.370E−02
−6.276E−02
−9.275E−02


Coefficient (A)








Sixth
−2.500E−02
 3.036E−02
 8.598E−04
 1.322E−02
 2.811E−02
 3.620E−02


Coefficient (B)








Eighth
 8.655E−02
−1.314E−01
−1.213E−02
−2.175E−02
 1.989E−02
−2.576E−03


Coefficient (C)








Tenth
−2.104E−01
 3.452E−01
 6.403E−02
 4.314E−02
−7.486E−02
−1.521E−02


Coefficient (D)








Twelfth
 3.705E−01
−6.140E−01
−1.705E−01
−7.246E−02
 1.075E−01
 2.160E−02


Coefficient (E)








Fourteenth
−4.723E−01
 7.734E−01
 2.710E−01
 8.448E−02
−1.015E−01
−1.850E−02


Coefficient (F)








Sixteenth
 4.370E−01
−7.059E−01
−2.839E−01
−6.799E−02
 6.806E−02
 1.056E−02


Coefficient (G)








Eighteenth
−2.933E−01
 4.714E−01
 2.058E−01
 3.854E−02
−3.309E−02
−4.114E−03


Coefficient (H)








Twentieth
 1.420E−01
−2.302E−01
−1.052E−01
−1.556E−02
 1.170E−02
 1.106E−03


Coefficient (J)








Twenty-Second
−4.898E−02
 8.115E−02
 3.798E−02
 4.456E−03
−2.975E−03
−2.049E−04


Coefficient (L)








Twenty-Fourth
 1.171E−02
−2.009E−02
−9.480E−03
−8.856E−04
 5.298E−04
 2.555E−05


Coefficient (M)








Twenty-Sixth
−1.841E−03
 3.313E−03
 1.560E−03
 1.163E−04
−6.263E−05
−2.032E−06


Coefficient (N)








Twenty-Eighth
 1.710E−04
−3.264E−04
−1.524E−04
−9.078E−06
 4.412E−06
 9.185E−08


Coefficient (O)








Thirtieth
−7.110E−06
 1.453E−05
 6.705E−06
 3.196E−07
−1.400E−07
−1.755E−09


Coefficient (P)






S13
S14
S15
S16
S17
S18





Conic
3.384
2.029
−7.436
−13.027
24.864
−13.487


Constant (K)








Fourth
 5.179E−02
 3.583E−03
 2.902E−03
 3.067E−02
−9.969E−02
−5.050E−02


Coefficient (A)








Sixth
−6.312E−02
 3.551E−03
−3.912E−03
−1.869E−02
 4.168E−02
 1.934E−02


Coefficient (B)








Eighth
 5.710E−02
−1.512E−02
−8.030E−03
 3.714E−03
−1.419E−02
−6.175E−03


Coefficient (C)








Tenth
−4.232E−02
 1.856E−02
 9.321E−03
 6.853E−04
 3.807E−03
 1.538E−03


Coefficient (D)








Twelfth
 2.845E−02
−1.277E−02
−5.497E−03
−7.614E−04
−7.331E−04
−2.929E−04


Coefficient (E)








Fourteenth
−1.715E−02
 5.554E−03
 2.082E−03
 2.757E−04
 9.751E−05
 4.239E−05


Coefficient (F)








Sixteenth
 8.223E−03
−1.628E−03
−5.427E−04
−6.057E−05
−8.838E−06
−4.670E−06


Coefficient (G)








Eighteenth
−2.901E−03
 3.330E−04
 1.000E−04
 8.955E−06
 5.329E−07
 3.917E−07


Coefficient (H)








Twentieth
 7.334E−04
−4.828E−05
−1.308E−05
−9.169E−07
−1.975E−08
−2.476E−08


Coefficient (J)








Twenty-Second
−1.310E−04
 4.946E−06
 1.197E−06
 6.489E−08
 3.144E−10
 1.153E−09


Coefficient (L)








Twenty-Fourth
 1.617E−05
−3.499E−07
−7.415E−08
−3.091E−09
 6.957E−12
−3.808E−11


Coefficient (M)








Twenty-Sixth
−1.314E−06
 1.624E−08
 2.921E−09
 9.344E−11
−4.755E−13
 8.394E−13


Coefficient (N)








Twenty-Eighth
 6.345E−08
−4.439E−10
−6.465E−11
−1.584E−12
 9.821E−15
−1.102E−14


Coefficient (O)








Thirtieth
−1.380E−09
 5.392E−12
 5.888E−13
 1.100E−14
−7.627E−17
 6.493E−17


Coefficient (P)









Additionally, the optical imaging system configured 1500 as described above may have the aberration characteristics illustrated in FIG. 30.


Table 31 below illustrates conditional expression values of the optical imaging system according to each of the first to fifteenth embodiments.














TABLE 31







Conditional Expression
Emb. 1
Emb. 2
Emb. 3
Emb. 4
Emb. 5





0 < f1/f < 30
5.418
4.826
5.728
4.920
5.402


0 < f2/f < 3
0.930
0.955
0.925
0.959
0.912


−3 < f3/f < 0
−1.421
−1.428
−1.433
−1.450
−1.365


−1 < f4/f/100 < 0.5
0.032
0.031
0.033
0.033
0.037


−0.5 < f5/f/100 < 1
−0.077
−0.072
−0.063
−0.054
0.439


−2 < f6/f/100 < 1.5
−0.097
−0.073
0.562
1.462
−0.075


−0.5 < f7/f/15
−0.132
0.582
−0.081
14.217
−0.062


−1 < f8/f/100 < 0.5
0.012
0.012
0.012
0.013
0.011


−3 < f9/f < 0
−0.870
−0.857
−0.870
−0.849
−0.868


v1 − v3 < 45
32.5
32.5
32.5
32.5
32.5


v1 − v5 < 45
36.75
36.75
36.75
36.75
36.75


TTL/f < 1.5
1.205
1.202
1.202
1.202
1.206


BFL/f < 0.5
0.313
0.316
0.315
0.316
0.305


TTL/(2 × IMG
0.687
0.685
0.685
0.685
0.687


HT) < 0.7


FOV × IMG HT/f > 60°
70.877°
70.614°
70.614°
70.614°
70.614°


Fno ≤ 1.69
1.59
1.59
1.59
1.59
1.59


SWA11 < 25°
19.045°
19.011°
19.065°
19.074°
19.090°


SWA21 < 36°
33.395°
32.830°
33.450°
32.851°
33.324°


Nv26 <= 3
3
3
3
3
3


35 < v3 + v5 < 45
42.73
42.73
42.73
42.73
42.73


4.5 < f1/f2 < 21
5.827
5.053
6.191
5.132
5.921


0.4 < |f12/f3| < 0.6
0.578
0.576
0.575
0.571
0.592


0.4 < |f2/f3| < 0.7
0.654
0.669
0.646
0.661
0.668


0.09 < |f3/f1| < 0.32
0.262
0.296
0.250
0.295
0.253






Emb.
Emb.
Emb.
Emb.
Emb.


Conditional Expression
6
7
8
9
10





0 < f1/f < 30
6.218
7.123
19.625
19.353
14.962


0 < f2/f < 3
0.889
0.887
0.958
0.958
0.960


−3 < f3/f < 0
−1.355
−1.409
−1.962
−1.959
−1.887


−1 < f4/f/100 < 0.5
0.037
−0.731
0.030
0.031
0.033


−0.5 < f5/f/100 < 1
0.731
0.048
−0.037
−0.043
0.731


−2 < f6/f/100 < 1.5
−0.055
−1.326
0.457
−0.621
−0.041


−0.5 < f7/f/15
0.731
−0.058
0.009
0.009
0.010


−1 < f8/f/100 < 0.5
0.013
0.012
−0.083
−0.085
−0.238


−3 < f9/f < 0
−0.879
−0.915
−0.669
−0.671
−0.666


v1 − v3 < 45
32.5
32.5
36.75
36.75
36.75


v1 − v5 < 45
36.75
36.75
36.75
36.75
36.75


TTL/f < 1.5
1.206
1.202
1.204
1.204
1.204


BFL/f < 0.5
0.302
0.328
0.288
0.287
0.280


TTL/(2 × IMG
0.687
0.685
0.685
0.685
0.685


HT) < 0.7


FOV × IMG HT/f > 60°
70.614°
70.614°
70.717°
70.717°
70.717°


Fno ≤ 1.69
1.59
1.59
1.59
1.59
1.59


SWA11 < 25°
19.159°
19.230°
17.312°
17.443°
18.547°


SWA21 < 36°
33.721°
33.346°
35.581°
35.742°
35.989°


Nv26 <= 3
3
3
3
3
3


35 < v3 + v5 < 45
42.73
42.73
38.48
38.48
38.48


4.5 < f1/f2 < 21
6.995
8.024
20.494
20.210
15.578


0.4 < |f12/f3| < 0.6
0.594
0.580
0.468
0.468
0.481


0.4 < |f2/f3| < 0.7
0.656
0.630
0.488
0.489
0.509


0.09 < |f3/f1| < 0.32
0.218
0.198
0.100
0.101
0.126






Emb.
Emb.
Emb.
Emb.
Emb.


Conditional Expression
11
12
13
14
15





0 < f1/f < 30
7.848
8.216
9.015
5.524
5.418


0 < f2/f < 3
0.880
0.877
0.868
0.917
0.930


−3 < f3/f < 0
−1.420
−1.428
−1.430
−1.403
−1.421


−1 < f4/f/100 < 0.5
−0.715
−0.728
−0.726
0.034
0.032


−0.5 < f5/f/100 < 1
0.050
0.055
0.057
−0.085
−0.077


−2 < f6/f/100 < 1.5
0.731
−1.611
0.731
−0.096
−0.097


−0.5 < f7/f/15
−0.054
0.731
0.731
−0.178
−0.132


−1 < f8/f/100 < 0.5
0.012
0.015
0.016
0.012
0.012


−3 < f9/f < 0
−0.918
−0.931
−0.940
−0.832
−0.870


v1 − v3 < 45
32.5
32.5
32.5
32.5
32.5


v1 − v5 < 45
36.75
36.75
36.75
36.75
36.75


TTL/f < 1.5
1.202
1.202
1.202
1.204
1.202


BFL/f < 0.5
0.347
0.351
0.355
0.405
0.313


TTL/(2 × IMG
0.685
0.685
0.685
0.685
0.685


HT) < 0.7


FOV × IMG HT/f > 60°
70.614°
70.614°
70.614°
70.717°
70.605°


Fno ≤ 1.69
1.59
1.59
1.59
1.49
1.69


SWA11 < 25°
19.264°
19.281°
19.309°
20.181°
19.045°


SWA21 < 36°
33.366°
33.538°
33.511°
34.613°
33.395°


Nv26 <= 3
3
3
3
3
3


35 < v3 + v5 < 45
42.73
42.73
42.73
42.73
42.73


4.5 < f1/f2 < 21
8.917
9.367
10.380
6.027
5.827


0.4 < |f12/f3| < 0.6
0.577
0.575
0.574
0.581
0.578


0.4 < |f2/f3| < 0.7
0.620
0.614
0.607
0.653
0.654


0.09 < |f3/f1| < 0.32
0.181
0.174
0.159
0.254
0.262









While this disclosure includes specific examples, it will be apparent after an understanding of the disclosure of this application that various changes in form and details may be made in these examples without departing from the spirit and scope of the claims and their equivalents. Descriptions of features or aspects in each example are to be considered as being applicable to similar features or aspects in other examples. Suitable results may be achieved if the described techniques are performed in a different order, and/or if components in a described system, architecture, device, or circuit are combined in a different manner, and/or replaced or supplemented by other components or their equivalents. Therefore, the scope of the disclosure is defined not by the detailed description, but by the claims and their equivalents, and all variations within the scope of the claims and their equivalents are to be construed as being included in the disclosure.

Claims
  • 1. An optical imaging system comprising: a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens sequentially disposed in ascending numerical order along an optical axis of the optical imaging system from an object side of the optical imaging system toward an imaging surface of the optical imaging system,wherein the first lens has a positive refractive power, the second lens has a positive refractive power, and the third lens has a negative refractive power,an Abbe number of the third lens is less than an Abbe number of the first lens and is less than an Abbe number of the second lens, andTTL/(2×IMG HT)<0.7 is satisfied, where TTL is a distance along the optical axis from an object-side surface of the first lens to the imaging surface, and IMG HT is one half of a diagonal length of the imaging surface.
  • 2. The optical imaging system of claim 1, wherein either one or both of v1−v3<45 and v1−v5<45 is satisfied, where v1 is the Abbe number of the first lens, v3 is the Abbe number of the third lens, and v5 is an Abbe number of the fifth lens.
  • 3. The optical imaging system of claim 2, wherein 35<v3+v5<45 is satisfied.
  • 4. The optical imaging system of claim 1, wherein 0<f1/f<30 is satisfied, where f1 is a focal length of the first lens, and f is a total focal length of the optical imaging system.
  • 5. The optical imaging system of claim 1, wherein 0<f2/f<3 is satisfied, where f2 is a focal length of the second lens, and f is a total focal length of the optical imaging system.
  • 6. The optical imaging system of claim 1, wherein −3<f3/f<0 is satisfied, where f3 is a focal length of the third lens, and f is a total focal length of the optical imaging system.
  • 7. The optical imaging system of claim 1, wherein 0.4<|f12/f3|<0.6 is satisfied, where f12 is a composite focal length of the first lens and the second lens, and f3 is a focal length of the third lens.
  • 8. The optical imaging system of claim 7, wherein 4.5<f1/f2<21 is satisfied, where f1 is a focal length of the first lens, and f2 is a focal length of the second lens.
  • 9. The optical imaging system of claim 7, wherein 0.4<|f2/f3|<0.7 is satisfied, where f2 is a focal length of the second lens.
  • 10. The optical imaging system of claim 7, wherein 0.09<|f3/f1|<0.32 is satisfied, where f1 is a focal length of the first lens.
  • 11. The optical imaging system of claim 1, wherein TTL/f<1.5 and BFL/f<0.5 are satisfied, where BFL is a distance along the optical axis from an image-side surface of the ninth lens to the imaging surface, and f is a total focal length of the optical imaging system.
  • 12. The optical imaging system of claim 1, wherein Fno≤1.69 is satisfied, where Fno is an F-number of the optical imaging system.
  • 13. The optical imaging system of claim 1, wherein FOV×IMG HT/f>60° is satisfied, where FOV is a field of view of the optical imaging system, and f is a total focal length of the optical imaging system.
  • 14. The optical imaging system of claim 1, wherein either one or both of SWA11<25° and SWA21<36° is satisfied, where SWA11 is a sweep angle at an end of an effective diameter of the object-side surface of the first lens, and SWA21 is a sweep angle at an end of an effective diameter of an object-side surface of the second lens.
  • 15. The optical imaging system of claim 1, wherein each of the first lens to the sixth lens has a convex object-side surface in a paraxial region thereof and a concave image-side surface in a paraxial region thereof.
  • 16. The optical imaging system of claim 1, wherein a sum of the Abbe number of the third lens and an Abbe number of the fifth lens is less than an Abbe number of the fourth lens.
  • 17. The optical imaging system of claim 1, wherein the ninth lens has a negative refractive power, a convex object-side surface in a paraxial region thereof, and a concave image-side surface in a paraxial region thereof.
  • 18. The optical imaging system of claim 1, wherein each of the first lens and the second lens has an Abbe number greater than 54 and less than 57, and the third lens has an Abbe number greater than 18 and less than 24.
  • 19. The optical imaging system of claim 1, wherein the fifth lens has a refractive index greater than 1.64 and an Abbe number less than 21.
  • 20. The optical imaging system of claim 1, wherein two of the fifth to seventh lenses have a refractive index greater than 1.61 and an Abbe number less than 26.
  • 21. The optical imaging system of claim 1, wherein an Abbe number of the seventh lens is less than an Abbe number of the eighth lens and is less than an Abbe number of the ninth lens.
  • 22. The optical imaging system of claim 1, wherein a focal length of the second lens is less than an absolute value of a focal length of the third lens, and the absolute value of the focal length of the third lens is less than a focal length of the first lens.
  • 23. The optical imaging system of claim 1, wherein the optical imaging system has a field of view greater than 80° and less than 85°.
Priority Claims (1)
Number Date Country Kind
10-2023-0057877 May 2023 KR national