Optical system and image pickup device module including the same

Abstract

An optical system disclosed in an embodiment of the present invention comprises: first to eleventh lenses arranged along an optical axis in a direction from an object side to a sensor side, wherein: the first lens has a positive (+) refractive power on the optical axis and has a convex object-side surface; the refractive index (n3) of the third lens and the refractive index (n4) of the fourth lens satisfy 1lt; n3 / n4lt; a mathematical formula of 1.5; among the first to eleventh lenses, the number of meniscus-shaped lenses protruding toward the object side on the optical axis (OA) is four or more; the sensor-side surface of the eleventh lens is set so that there is no critical point from the optical axis to the end of the effective region. A first distance, which is a maximum distance from the optical axis to a point at which a height from the sensor-side surface on a straight line perpendicular to the optical axis is less than 0.1, may span 20% or more of an effective radius of the sensor-side surface of the eleventh lens.

Description

Technical Field

[0001] Embodiments relate to an optical system for improved optical performance and a camera module including the optical system. Background Art

[0002] The camera module captures an object and stores the object as an image or video, and is installed in various applications. In particular, the camera module is produced in a very small size and is applied not only to portable devices such as smart phones, tablet PCs, and laptops, but also to drones and vehicles to provide various functions.

[0003] For example, the optical system of the camera module may include an imaging lens for forming an image and an image sensor for converting the formed image into an electrical signal. In this case, the camera module may perform an auto focus (AF) function of aligning the focal length of the lens by automatically adjusting the distance between the image sensor and the imaging lens, and may perform a zoom function of zooming in or out by increasing or decreasing the magnification of a remote object via a zoom lens. In addition, the camera module employs an image stabilization (IS) technology to correct or prevent image stabilization problems caused by an unstable fixture or camera movement caused by user movement.

[0004] The most important element for a camera module to obtain an image is an imaging lens that forms the image. Recently, interest in high efficiency such as high image quality and high resolution has been increasing, and in order to achieve this, research on an optical system including a plurality of lenses is being conducted. For example, research is being conducted to realize a high-efficiency optical system using a plurality of imaging lenses having positive (+) and / or (-) refractive power.

[0005] However, when multiple lenses are included, it is difficult to obtain excellent optical properties and aberration properties. In addition, when multiple lenses are included, the overall length, height, etc. may increase due to the thickness, spacing, size, etc. of the multiple lenses, thereby increasing the overall size of the module including the multiple lenses.

[0006] In addition, in order to achieve high resolution and high definition, the size of image sensors is increasing. However, when the size of image sensors increases, the TTL (total track length) of the optical system including multiple lenses also increases, thereby increasing the thickness of the mobile terminal and the camera device including the optical system. Therefore, a new optical system that can solve the above problems is needed. Summary of the invention

[0007] [Technical issues]

[0008] Embodiments of the present invention provide an optical system with improved optical properties. The embodiments provide an optical system having excellent optical performance in the central portion and the peripheral portion of the field of view. The embodiments provide an optical system that can have a thin structure.

[0009] [Technical Solution]

[0010] The optical system according to an embodiment of the present invention includes a first lens to an eleventh lens arranged along the optical axis in a direction from the object side to the sensor side. Among them, the first lens has a positive (+) refractive power on the optical axis and has a convex object-side surface, and the refractive index n3 of the third lens and the refractive index n4 of the fourth lens satisfy the following formula: 1 < n3 / n4 < 1.5. The number of meniscus lenses that are convex toward the object side on the optical axis OA among the first lens to the eleventh lens is four or more. The sensor-side surface of the eleventh lens is arranged such that there is no critical point from the optical axis to the end of the effective region, and the maximum distance from the optical axis to a point where the height between the optical axis and a straight line orthogonal to the optical axis and the sensor-side surface is less than 0.1 is a first distance, and the first distance can be set at a position 20% or more of the effective radius of the sensor-side surface of the eleventh lens.

[0011] According to an embodiment of the present invention, the difference between the maximum tilt angle (L10S2_max slope) of the tangent line passing through the sensor-side surface of the tenth lens and the maximum tilt angle (L11S2_max slope) of the tangent line passing through the sensor-side surface of the eleventh lens may satisfy the following formula: 10 < |L11S2_max slope| - |L10S2_max slope| < 30. The effective radius of the sensor-side surface of the eleventh lens may be less than 5 mm.

[0012] According to an embodiment of the present invention, the difference between the maximum tilt angle (L10S2_max slope) of the tangent line passing through the sensor-side surface of the tenth lens and the maximum tilt angle (L11S2_max slope) of the tangent line passing through the sensor-side surface of the eleventh lens may satisfy the following formula: -5 < |L11S2_max slope| - |L10S2_max slope| < 5. The effective radius of the sensor-side surface of the eleventh lens may be 6 mm or more.

[0013] According to an embodiment of the present invention, the effective diameter CA_L11S2 of the eleventh lens and the center distance CG10 between the tenth lens and the eleventh lens may satisfy the following condition: 3 < CA_L11S2 / CG10 < 20. The effective diameter CA_L10S2 of the tenth lens and the center distance CG10 between the tenth lens and the eleventh lens may satisfy the following formula: 5 < CA_L11S2 / CG10 < 15.

[0014] According to an embodiment of the present invention, the maximum effective diameter CA_Max of the object side surface and the sensor side surface of the first lens to the eleventh lens and the distance ImgH from the center of the image sensor to its diagonal end can satisfy the following formula: 0.5 ≤ CA_Max / (2*ImgH) < 1.

[0015] According to an embodiment of the present invention, the refractive indices n1, n2, and n3 of the first lens to the third lens can satisfy the following formula: 1.50 < n1 < 1.6, 1.50 < n2 < 1.6, and 17 < n3*n (n is the total number of lenses).

[0016] According to an embodiment of the present invention, the first lens, the second lens, the third lens, and the seventh lens can have a meniscus shape that bulges toward the object side from the optical axis. The tenth lens and the eleventh lens can have a meniscus shape that bulges toward the sensor side from the optical axis.

[0017] According to an embodiment of the present invention, the sum ΣCA of the effective diameters of the object side surface and the sensor side surface of the first lens to the eleventh lens satisfies the following condition: ΣCA*n > 1100, and n can be the total number of lenses.

[0018] The optical system according to an embodiment of the present invention includes: a first lens group having a plurality of lenses arranged along the optical axis on the object side; a second lens group having a plurality of lenses arranged along the optical axis on the sensor side of the first lens group; and an aperture stop provided around any one of the lenses of the first lens group, wherein the number of lenses in the second lens group is more than twice the number of lenses in the first lens group, the lenses in the first lens group have a meniscus shape that bulges toward the object side on the optical axis, the nth lens closest to the image sensor in the second lens group and the (n - 1)th lens provided on the object side of the nth lens have a meniscus shape that bulges toward the sensor side on the optical axis, the sensor side surface of the lens in the first lens group closest to the second lens group has a concave shape on the optical axis, the object side surface of the lens in the second lens group closest to the first lens group has a concave shape on the optical axis, the effective diameters of the object side surface and the sensor side surface of the first lens to the third lens gradually decrease from the object side toward the sensor side, and the effective diameters of the lenses in the second lens group can gradually increase from the effective diameter of the object side surface of the lens closest to the first lens group to the effective diameter of the sensor side surface of the last lens closest to the image sensor.

[0019] According to an embodiment of the present invention, the effective diameters of the lenses in the first lens group can gradually increase from the effective diameter of the sensor side surface of the lens closest to the second lens group to the effective diameter of the object side surface of the first lens.

[0020] According to an embodiment of the present invention, the distance from the image sensor to the center of the sensor-side surface of the last lens may be equal to the distance from the maximum sagittal value of the sensor-side surface of the last lens to the image sensor.

[0021] According to an embodiment of the present invention, the minimum effective diameter CA_Min and the maximum effective diameter CA_Max of the lenses in the first lens group and the second lens group satisfy the following formula: 50 < (CA_Max - CA_Min) * n < 120, and n may be the total number of lenses.

[0022] According to an embodiment of the present invention, the difference between the optical axis distance TD_LG1 of the first lens group and the optical axis distance TD_LG2 of the second lens group may satisfy the following formula: 21 < (TD_LG2 / TD_LG2) * n < 31 (n is the total number of lenses).

[0023] According to an embodiment of the present invention, the maximum center thickness CT_Max of the lenses in the first lens group and the second lens group and the maximum center distance CG_Max between adjacent lenses may satisfy the following formula: 5 < (CT_Max + CG_Max) * n < 12 (n is the total number of lenses).

[0024] According to an embodiment of the present invention, the lens having the maximum center thickness may be the first lens, and the two lenses having the maximum center distance may be the nth lens and the (n - 1)th lens.

[0025] According to an embodiment of the present invention, the first lens group includes the first lens to the third lens, the second lens group includes the fourth lens to the eleventh lens, and the combined focal length from the first lens to the third lens is F13, and the combined focal length from the fourth lens to the eleventh lens is F411, and the following formula may be satisfied: 3 < |F411 / F13| < 15.

[0026] The imaging device module according to an embodiment of the present invention includes an image sensor; and a filter disposed between the image sensor and the last lens, wherein the optical system includes the optical system disclosed above, and the following formulas: 0.5 < F / TTL < 1.5, 0.5 < TTL / ImgH < 3, and 40 ≤ ImgH * n < 120 (F is the average value of the total focal lengths in two directions orthogonal to the optical axis of the optical system, and TTL (total track length) is the distance from the center of the object-side surface of the first lens to the image surface of the image sensor on the optical axis, ImgH is 1 / 2 of the maximum diagonal length of the image sensor, and n is the total number of lenses).

[0027] [Beneficial Effects]

[0028] The optical system and the camera module according to the embodiment may have improved optical properties. Specifically, the optical system may have improved aberration characteristics and resolving power according to the surface shape, refractive power, thickness of the plurality of lenses, and distances between adjacent lenses of the plurality of lenses.

[0029] The optical system and the camera module according to the embodiment may have improved distortion and aberration characteristics, and may have good optical performance in the central part and the peripheral part of the field of view (FOV). The optical system according to the embodiment may have improved optical characteristics and a smaller total track length (TTL), so that the optical system and the camera module including the optical system may be provided in a slim and compact structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0030] Figure 1 1 is a configuration diagram of an optical system and an imaging device module according to a first embodiment of the present invention.

[0031] Figure 2 It is shown Figure 1 An explanatory diagram of the relationship between an image sensor, an nth lens, and an n-1th lens of an optical system.

[0032] Figure 3 It is shown Figure 1 A table of lens data for an optical system.

[0033] Figure 4 ⊥ ...

[0034] Figure 5 : is a table showing the thickness of the lenses according to the direction orthogonal to the optical axis and the intervals between the lenses in the optical system according to the first embodiment of the present invention.

[0035] Figure 6 It is shown Figure 1 A table of sag values ​​of the object-side surfaces and sensor-side surfaces of the tenth lens to the eleventh lens in the optical system.

[0036] Figure 7 yes Figure 1 A graph of the diffraction MTF of an optical system.

[0037] Figure 8 It is shown Figure 1 A graph showing the aberration characteristics of an optical system.

[0038] Fig. 9 It is shown Figure 1 A graph of sag values ​​of the object-side surfaces and the sensor-side surfaces of the tenth lens and the eleventh lens of the optical system.

[0039] Fig.10 2 is a configuration diagram of an optical system and an imaging device module according to a second embodiment of the present invention.

[0040] Fig.11 It is shown Fig.10 A table of lens data for an optical system.

[0041] Fig.12 yes Fig.10 Examples of aspherical surface coefficients of lenses of an optical system.

[0042] Fig.13 It is shown Fig.10 A table showing the thickness of lenses in an optical system according to a direction perpendicular to the optical axis and the intervals between lenses.

[0043] Fig.14 It is shown Fig.10 A table of sag values ​​of the object-side surfaces and sensor-side surfaces of the tenth lens to the eleventh lens in the optical system.

[0044] Fig.15 yes Fig.10 A graph of the diffraction MTF of an optical system.

[0045] Fig.16 It is shown Fig.10 A graph showing the aberration characteristics of an optical system.

[0046] Fig.17 It is shown Fig.10 A graph of sag values ​​of the object-side surfaces and the sensor-side surfaces of the tenth lens and the eleventh lens of the optical system.

[0047] Fig.18 2 is a configuration diagram of an optical system and an imaging device module according to a third embodiment of the present invention.

[0048] Fig.19 It is shown Fig.18 A table of lens data for an optical system.

[0049] Fig. 20 yes Fig.18 Examples of aspherical surface coefficients of lenses of an optical system.

[0050] Fig.21 It is shown Fig.18 A table showing the thickness of lenses in an optical system according to a direction perpendicular to the optical axis and the intervals between lenses.

[0051] Fig. 22 It is shown Fig.18 A table of sag values ​​of the object-side surfaces and sensor-side surfaces of the tenth lens to the eleventh lens in the optical system.

[0052] Fig.23 yes Fig.18 A graph of the diffraction MTF of an optical system.

[0053] Fig.24 It is shown Fig.18 A graph showing the aberration characteristics of an optical system.

[0054] Fig.25 It is shown Fig.18 A graph of sag values ​​of the object-side surfaces and the sensor-side surfaces of the tenth lens and the eleventh lens of the optical system.

[0055] Fig.26 2 is a configuration diagram of an optical system and an imaging device module according to a fourth embodiment of the present invention.

[0056] Fig. 27 It is shown Fig.26 A table of lens data for an optical system.

[0057] Fig.28 yes Fig.26 Examples of aspherical surface coefficients of lenses of an optical system.

[0058] Fig.29 It is shown Fig.26 A table showing the thickness of lenses in an optical system according to a direction perpendicular to the optical axis and the intervals between lenses.

[0059] Fig.30 It is shown Fig.26 A table of sag values ​​of the object-side surfaces and sensor-side surfaces of the tenth lens to the eleventh lens in the optical system.

[0060] Fig.31 yes Fig.26 A graph of the diffraction MTF of an optical system.

[0061] Fig.32 It is shown Fig.26 A graph showing the aberration characteristics of an optical system.

[0062] Fig.33 It is shown Fig.26 A graph of sag values ​​of the object-side surfaces and the sensor-side surfaces of the tenth lens and the eleventh lens of the optical system.

[0063] Fig.34 is a diagram showing that a camera module according to an embodiment is applied to a mobile terminal. DETAILED DESCRIPTION

[0064] Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings. The technical spirit of the present invention is not limited to some embodiments to be described, but can be implemented in various other forms, and within the scope of the technical spirit of the present invention, one or more components can be selectively combined and replaced for use. In addition, unless specifically defined and clearly described, the terms (including technical terms and scientific terms) used in the embodiments of the present invention can be interpreted according to the meanings that can be generally understood by ordinary technicians in the field to which the present invention belongs, and commonly used terms such as terms defined in dictionaries should be able to interpret their meanings in consideration of the contextual meanings of the relevant technology.

[0065] The terms used in the embodiments of the present invention are used to illustrate the embodiments, and are not intended to limit the present invention. In this specification, unless otherwise specifically stated in the phrase, the singular form may also include the plural form, and in the case of describing A and (and) at least one (or one or more) of B, C, it may include one or more of all combinations that can be combined with A, B and C. When describing the components of the embodiments of the present invention, terms such as the first, second, A, B, (a) and (b) may be used. Such terms are only used to distinguish components from other components, rather than being determined by the term with respect to the properties, sequence or process of the corresponding constituent elements. And when describing a component "connected", "coupled" or "engaged" to another component, the description may include not only direct connection, coupling or engagement to another component, but also "connection", "coupling" or "engagement" between a component and another component. In addition, in the case of being described as being formed or arranged "above (up)" or "below (below)" of each component, the description includes not only the situation where the two components are in direct contact with each other, but also the situation where one or more other components are formed or arranged between the two components. In addition, when expressed as “above” or “below”, it can refer to a downward direction as well as an upward direction with respect to one element.

[0066] In the description of the present invention, "object side surface" may refer to the surface of the lens facing the object side relative to the optical axis OA, and "sensor side surface" may refer to the surface of the lens facing the imaging surface (image sensor) relative to the optical axis. The convex surface of the lens may refer to the lens surface on the optical axis having a convex shape, and the concave surface of the lens may refer to the lens surface on the optical axis having a concave shape. The radius of curvature, the center thickness, and the distance between the lenses described in the table of lens data may refer to the values ​​on the optical axis, and the unit is mm. The vertical direction may refer to the direction perpendicular to the optical axis, and the end of the lens or the lens surface may refer to the end or edge of the effective area of ​​the lens through which the incident light passes. Depending on the measurement method, the size of the effective diameter on the lens surface may have a measurement error of up to ±0.4mm. The paraxial area refers to a very narrow area near the optical axis, and is an area where the distance of the light falling from the optical axis OA is almost zero. In the following, the concave shape or convex shape of the lens surface is described as the optical axis, and the paraxial area may also be included.

[0067] Figure 1 , Fig.10 , Fig.18 and Fig.26 1 is a diagram showing an optical system 1000 and an image pickup device module having the optical system according to an embodiment of the present invention.

[0068] Reference Figure 1 , Fig.10 , Fig.18 and Fig.26 , the optical system 1000 or the camera module may include a lens portion 100, 100A, 100B, and 100C having a plurality of lens groups LG1 and LG2. Specifically, each of the plurality of lens groups LG1 and LG2 includes at least one lens. For example, the optical system 1000 may include a first lens group LG1 and a second lens group LG2 sequentially arranged along the optical axis OA from the object side toward the image sensor 300. The number of lenses of the second lens group LG2 may be greater than the number of lenses of the first lens group LG1, for example, between two and three times the number of lenses of the first lens group LG1.

[0069] The first lens group LG1 may include two or more and four or less lenses, for example, two lenses to three lenses. The second lens group LG2 may include five or more lenses. The second lens group LG2 may include more lenses than the first lens group LG1, for example, 9 or less lenses or 7 or more lenses. The number of lenses of the second lens group LG2 may be 7 or more than the number of lenses of the first lens group LG1, for example, 8 or more lenses. The total number of lenses of the first lens group LG1 and the second lens group LG2 is 10 to 12. For example, the first lens group LG1 may include 3 lenses, and the second lens group LG2 may include 8 lenses.

[0070] In the optical system 1000, the total track length (TTL) may be less than 94% of the diagonal length of the image sensor 300, and may be, for example, in the range of 60% to 90% or 70% to 90%. The TTL is the distance from the object side surface of the first lens 101 closest to the object side on the optical axis OA to the image surface of the image sensor 300, and the diagonal length of the image sensor 300 is the maximum diagonal length of the image sensor 300, and may be, for example, 2 times the distance ImgH from the optical axis OA to the diagonal end. Therefore, a slim optical system and a camera module having the same may be provided.

[0071] The first lens group LG1 refracts light incident through the object side to converge, and the second lens group LG2 converts light emitted through the first lens group LG1 to diffuse around the image sensor 300. Here, the sensor-side surface of the lens closest to the second lens group LG2 in the first lens group LG1 has a concave shape on the optical axis OA, and the second lens group LG2 has a concave shape. The object-side surface of the lens closest to the first lens group LG1 may have a convex shape on the optical axis OA. That is, two surfaces opposite to each other in the first lens group LG1 and the second lens group LG2 may have a shape in which the sensor-side surface is concave and the object-side surface is convex on the optical axis.

[0072] The first lens group LG1 may have a positive (+) refractive power. The second lens group LG2 may have a negative (-) refractive power different from that of the first lens group LG1. The first lens group LG1 and the second lens group LG2 have different focal lengths and opposite refractive powers, thereby providing good optical performance at the central portion and the peripheral portion of the FOV. The refractive power is the reciprocal of the focal length.

[0073] When expressed as an absolute value, the focal length of the second lens group LG2 may be greater than the focal length of the first lens group LG1. For example, the absolute value of the focal length F_LG2 of the second lens group LG2 may be 1.1 times or more, for example, in the range of 1.1 times to 4 times, of the absolute value of the focal length F_LG1 of the first lens group LG1. Therefore, the optical system 1000 according to the embodiment may have improved aberration control characteristics such as chromatic aberration and distortion aberration by controlling the refractive power and focal length of each lens group, and has good optical performance in the central portion and the peripheral portion of the FOV.

[0074] On the optical axis OA, the first lens group LG1 and the second lens group LG2 can have a set distance. The optical axis distance between the first lens group LG1 and the second lens group LG2 on the optical axis OA is the separation distance on the optical axis OA, and can be the optical axis distance between the sensor-side surface of the lens in the first lens group LG1 that is closest to the sensor side and the object-side surface of the lens in the second lens group LG2 that is closest to the object side.

[0075] The optical axis distance between the first lens group LG1 and the second lens group LG2 is greater than the center thickness of the last lens of the first lens group LG1, and can be greater than the center thickness of the first lens of the second lens group LG2. The optical axis distance between the first lens group LG1 and the second lens group LG2 is less than the optical axis distance of the first lens group LG1, and can be 35% or less of the optical axis distance of the first lens group LG1, for example, within the range of 12% to 35% or 17% to 32% of the optical axis distance of the first lens group LG1. Here, the optical axis distance of the first lens group LG1 is the optical axis distance between the object-side surface of the lens in the first lens group LG1 that is closest to the object side and the sensor-side surface of the lens in the first lens group LG1 that is closest to the sensor side.

[0076] The optical axis distance between the first lens group LG1 and the second lens group LG2 can be 11% or more of the optical axis distance of the second lens group LG2, for example, within the range of 11% to 25% or 11% to 20%. The optical axis distance of the second lens group LG2 is the optical axis distance between the object-side surface of the lens in the second lens group LG2 that is closest to the object side and the sensor-side surface of the lens in the second lens group LG2 that is closest to the sensor side.

[0077] Here, when the optical axis distance of the first lens group LG1 is D_LG1, the optical axis distance of the second lens group LG2 is D_LG2, and the total number of lenses is n (n = 9, 10, or 11), the following formula can be satisfied: 0 < D_LG1 / n < 0.3 and 0.3 < D_LG2 / n < 0.7.

[0078] In addition, when the optical axis distance from the object-side surface of the first lens to the sensor-side surface of the last nth lens is TD, the following formula can be satisfied: 0.5 < TD / n < 1. When the sum of the effective diameters from the object-side surface of the first lens to the sensor-side surface of the last nth lens is ΣCA, the following formula can be satisfied: 7 < ΣCA / n < 17. In addition, when the sum of the center thicknesses from the first lens to the last lens is ΣCT, the following formula can be satisfied: 0.2 < ΣCT / n < 0.7, and when the sum of the center distances between two adjacent lenses is ΣCG, the following formula can be satisfied: 0.1 < ΣCG < 0.4, and the following relationship can be satisfied: ΣCG < ΣCT. n is the total number of lenses. Therefore, a thin optical system can be set up.

[0079] The lens with the smallest effective diameter in the first lens group LG1 may be the lens closest to the second lens group LG2. The lens with the smallest effective diameter in the second lens group LG2 may be the lens closest to the first lens group LG1. Here, the size of the effective diameter of each lens is the average of the effective diameter of the object side surface and the effective diameter of the sensor side surface of each lens. Therefore, the optical system 1000 may have good optical performance not only in the central part of the field of view (FOV) but also in the peripheral part, and may improve chromatic aberration and distortion aberration. The size of the lens with the smallest effective diameter in the first lens group LG1 may be smaller than the size of the lens with the smallest effective diameter in the second lens group LG2. Therefore, a slim telephoto camera module may be provided.

[0080] The effective diameter of each lens in the first lens group LG1, that is, the average effective diameter of the object side surface and the sensor side surface gradually decreases in the direction from the object side to the sensor side, and the effective diameter of each lens in the second lens group LG2 can gradually increase in the direction from the object side to the sensor side.

[0081] Each of the plurality of lenses 100 may include an effective area and an ineffective area. The effective area may be an area through which light incident on each of the lenses 100 passes. That is, the effective area may be an effective area or an effective diameter area that realizes optical characteristics by refracting the incident light. The ineffective area may be arranged around the effective area. The ineffective area may be an area in which effective light is not incident on the plurality of lenses 100. That is, the ineffective area may be an area that is not related to the optical characteristics. In addition, the end of the ineffective area may be an area fixed to a lens barrel (not shown) that houses the lens.

[0082] The lens closest to the object side in the first lens group LG1 may have positive (+) refractive power, and the lens closest to the sensor side in the second lens group LG2 may have negative (-) refractive power. In the optical system 1000, the number of lenses having positive (+) refractive power may be greater than the number of lenses having negative (-) refractive power. In the first lens group LG1, the number of lenses having positive (+) refractive power may be greater than the number of lenses having negative (-) refractive power. In the second lens group LG2, the number of lenses having positive (+) refractive power may be equal to the number of lenses having negative (-) refractive power.

[0083] The optical system 1000 may include an image sensor 300 on the sensor side of the lens units 100, 100A, 100B, and 100C. The image sensor 300 may detect light and convert it into an electrical signal. The image sensor 300 may detect light that passes through a plurality of lenses 100 in sequence. The image sensor 300 may include a device capable of sensing incident light, such as a charge coupled device (CCD) or a complementary metal oxide semiconductor (CMOS). The diagonal length of the image sensor 300 may be greater than 2 mm, for example, greater than 4 mm and less than 12 mm. Preferably, the ImgH of the image sensor 300 may have a relationship: TTL>ImgH.

[0084] The optical system 1000 may include an optical filter 500. The optical filter 500 may be disposed between the second lens group LG2 and the image sensor 300. The optical filter 500 may be disposed between a lens closest to the sensor side among the plurality of lens portions 100, 100A, 100B, and 100C and the image sensor 300. For example, when the optical system 100 has 11 lenses, the optical filter 500 may be disposed between the 11th lens 111 and the image sensor 300.

[0085] The optical filter 500 may include an infrared filter. The optical filter 500 may allow light of a set wavelength band to pass through and filter light of different wavelength bands. When the optical filter 500 includes an infrared filter, radiant heat emitted from external light may be prevented from being transferred to the image sensor 300. In addition, the optical filter 500 may transmit visible light and reflect infrared light. As another example, a cover glass may also be provided between the optical filter 500 and the image sensor 300.

[0086] The optical system 1000 according to an embodiment may include an aperture stop ST. The aperture stop ST may control the amount of light incident on the optical system 1000. The aperture stop ST may be provided around at least one lens of the first lens group LG1. For example, the aperture stop ST may be provided around an object side surface or a sensor side surface of the second lens 102. The aperture stop ST may be provided between two adjacent lenses 101 and 102 among the lenses in the first lens group LG1. Alternatively, at least one lens selected from the plurality of lenses 100 may be used as an aperture stop. Specifically, an object side surface or a sensor side surface of one lens selected from the lenses of the first lens group LG1 may be used as an aperture stop for adjusting the amount of light.

[0087] The straight-line distance from the aperture stop ST to the sensor-side surface of the n-th lens can be less than the optical axis distance TD between the object-side surface of the first lens 101 and the sensor-side surface of the n-th lens. When SD is the optical axis distance from the aperture stop ST to the sensor-side surface of the n-th lens, the following relationship can be satisfied: SD < TD and SD < EFL. Additionally, the following relationship can be satisfied: SD < ImgH. EFL is the effective focal length of the entire optical system and can be defined as F. The following relationship can be satisfied: EFL > ImgH, and they can have a difference of 2 mm or less. The FOV of the optical system 1000 can be less than 120 degrees, for example, greater than 70 degrees and less than 100 degrees. The F-number (F#) of the optical system 1000 can be greater than 1 and less than 10, for example, in the range of 1.1 ≤ F# ≤ 5, and the entrance pupil diameter (EPD) can be greater than F#. Therefore, the optical system 1000 has a thin and compact size, can control the incident light, and can have improved optical characteristics within the FOV.

[0088] The effective diameter of the lens gradually decreases from the object-side lens to the lens surface (e.g., the fourth surface) where the aperture stop is provided, and can gradually increase from the effective diameter of the lens surface (e.g., the fifth surface) on the sensor side of the aperture stop to the effective diameter of the lens surface of the last lens.

[0089] The optical system 1000 according to an embodiment may further include a reflection member (not shown) for changing the optical path. The reflection member can be implemented as a prism that reflects the incident light of the first lens group LG1 towards the lens. As another example, when the optical axes of the second lens group LG2 and the center of the image sensor are set on different axes, the reflection member can be provided on the exit side of the second lens group LG2. Hereinafter, the optical system according to an embodiment will be described in detail.

[0090] Figure 1 is a configuration diagram of an optical system and a camera device module according to a first embodiment of the present invention, Figure 2 shows Figure 1 the relationship between the image sensor, the n-th lens, and the (n - 1)-th lens of the optical system, and Fig.10 is a configuration diagram of an optical system and a camera device module according to a second embodiment, Fig.18 is a configuration diagram of an optical system and a camera device module according to a third embodiment, and Fig.26 is a configuration diagram of an optical system and a camera device module according to a fourth embodiment.

[0091] Referring to Figure 1 、 Figure 2 、 Fig.10 、 Fig.18 and Fig.26, the optical system 1000 according to the embodiment includes a lens part 100, 100A, 100B, and 100C having a plurality of lenses, and the lens parts 100 and 100A, 100B, and 100C may include first to eleventh lenses 101 to 111. The first to eleventh lenses 101 to 111 may be sequentially arranged along the optical axis OA of the optical system 1000. Light corresponding to object information may pass through the first to eleventh lenses 101 to 111 and the filter 500 and be incident on the image sensor 300.

[0092] The first lens group LG1 may include first to third lenses 101 to 103, and the second lens group LG2 may include fourth to eleventh lenses 104 to 111. The optical axis distance between the third lens 103 and the fourth lens 104 may be the optical axis distance between the first lens group LG1 and the second lens group LG2. The first lens 101 may be the first lens of the optical system, and the eleventh lens 111 may be the last lens.

[0093] The number of lenses having a meniscus shape convex from the optical axis toward the object side among the first to eleventh lenses 101 to 111 may be 4 or more, and may be in the range of 40% to 50% of the total number of lenses. Among the first to eleventh lenses 101 to 111, the number of lenses having a meniscus shape convex from the optical axis toward the sensor side may be greater than the number of lenses having a meniscus shape convex toward the object side, and may be 5 or more, for example, may be in the range of 50% to 60% of the total number of lenses. Therefore, the meniscus shape convex from the optical axis toward the object side or the sensor side may account for 70% or more of the total number of lenses.

[0094] The curvature radius of each lens 101 to 103 of the first lens group LG1 may be a positive value, and the curvature radius of each lens 104 to 110 of the second lens group LG2 may be a negative value. The number of lens surfaces having negative values ​​may be greater than the number of lens surfaces having positive values.

[0095] The first lens 101 may have negative (-) or positive (+) refractive power on the optical axis OA, and may preferably have positive (+) refractive power. The first lens 101 may include a plastic or glass material. For example, the first lens 101 may be made of a plastic material.

[0096] The first lens 101 may include a first surface S1 defined as an object side surface and a second surface S2 defined as a sensor side surface. On the optical axis OA, the first surface S1 may have a convex shape, and the second surface S2 may have a concave shape. That is, the first lens 101 may have a meniscus shape convex from the optical axis OA toward the object side. At least one of the first surface S1 and the second surface S2 may be an aspherical surface. For example, both the first surface S1 and the second surface S2 may be aspherical. The aspherical coefficients of the first surface S1 and the second surface S2 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L1 is the first lens 101, L1S1 is the first surface, and L1S2 is the second surface.

[0097] The second lens 102 may have positive (+) or negative (-) refractive power on the optical axis OA. The second lens 102 may have positive (+) refractive power. The second lens 102 may include a plastic or glass material. For example, the second lens 102 may be made of a plastic material.

[0098] The second lens 102 may include a third surface S3 defined as an object side surface and a fourth surface S4 defined as a sensor side surface. On the optical axis OA, the third surface S3 may have a convex shape, and the fourth surface S4 may have a concave shape. That is, the second lens 102 may have a meniscus shape convex from the optical axis OA toward the object side. Alternatively, on the optical axis OA, the third surface S3 may have a convex shape, and the fourth surface S4 may have a convex shape. At least one of the third surface S3 and the fourth surface S4 may be an aspherical surface. For example, both the third surface S3 and the fourth surface S4 may be aspherical surfaces. The aspherical coefficients of the third surface S3 and the fourth surface S4 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L2 is the second lens 102, L2S1 is the third surface, and L2S2 is the fourth surface.

[0099] The third lens 103 may have positive (+) or negative (-) refractive power on the optical axis OA, and may preferably have negative (-) refractive power. The third lens 103 may include a plastic or glass material. For example, the third lens 103 may be made of a plastic material.

[0100] The third lens 103 may include a fifth surface S5 defined as an object side surface and a sixth surface S6 defined as a sensor side surface. On the optical axis OA, the fifth surface S5 may have a convex shape, and the sixth surface S6 may have a concave shape. That is, the third lens 103 may have a meniscus shape convex from the optical axis OA toward the object side. Alternatively, on the optical axis OA, the fifth surface S5 may have a convex shape, and the sixth surface S6 may have a convex shape. At least one of the fifth surface S5 and the sixth surface S6 may be an aspherical surface. For example, both the fifth surface S5 and the sixth surface S6 may be aspherical surfaces. The aspherical coefficients of the fifth surface S5 and the sixth surface S6 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L3 is the third lens 103, L3S1 is the fifth surface, and L3S2 is the sixth surface.

[0101] The first lens group LG1 may include first to third lenses 101, 102, and 103. Among the first to third lenses 101, 102, and 103, the first lens 101 or the second lens 102 may have the thickest thickness on the optical axis OA, that is, the center thickness of the lens, and the third lens 103 may have the thinnest thickness. Therefore, the optical system 1000 may control incident light and may have improved aberration characteristics and resolution.

[0102] Among the first to third lenses 101, 102, and 103, the effective diameter CA (clear aperture) of the lens may be the smallest, and the first lens 101 may be the largest. Specifically, among the first to third lenses 101, 102, and 103, the size of the effective radius (semi-aperture) r11 of the first surface S1 may be the largest, and the size of the effective radius of the sixth surface S6 of the third lens 103 may be the smallest. The effective diameter of the second lens 102 may be smaller than the effective diameter of the first lens 101 and larger than the effective diameter of the third lens 103. The size of the effective diameter of the third lens 103 may be the smallest among all the lenses of the optical system 1000. The size of the effective diameter is the average of the size of the effective diameter on the object side surface of each lens and the size of the effective diameter on the sensor side surface of each lens. Therefore, the optical system 1000 may have improved chromatic aberration control characteristics, and the vignetting characteristics of the optical system 1000 may be improved by controlling incident light.

[0103] The refractive index of the third lens 102 may be greater than the refractive index of at least one or both of the first lens 101 and the second lens 102. The refractive index of the third lens 103 may be greater than 1.60, for example, 1.65 or greater, and the refractive indexes of the first lens 101 and the second lens 102 may be less than 1.60. The Abbe number of the third lens 103 may be less than the Abbe number of at least one or both of the first lens 101 and the second lens 102. For example, the Abbe number of the third lens 103 may be 20 or more less than the Abbe number of the first lens 101 and the second lens 102, and may be, for example, 30 less. Specifically, the Abbe number of the first lens 101 and the second lens 102 may be 30 or more greater than the Abbe number of the third lens 103. Therefore, the optical system 1000 may have improved chromatic aberration control characteristics.

[0104] When the radius of curvature on the optical axis OA is expressed as an absolute value, the radius of curvature of the fourth surface S4 of the second lens 102 may be the largest among the first to third lenses 101, 102, and 103. The radius of curvature of the first surface S1 of the first lens 101 may be the smallest. In the first lens group LG1, the difference between the lens surface having the largest radius of curvature and the lens surface having the smallest radius of curvature may be three times or more. The average radius of curvature of the first surface S1 to the sixth surface S6 may be 10 mm or less, for example, in the range of 3 mm to 10 mm. Each of the first lens 101 to the third lens 103 may have a meniscus shape convex toward the object side.

[0105] The fourth lens 104 may have positive (+) or negative (-) refractive power on the optical axis OA. The fourth lens 104 may have positive (+) refractive power. The fourth lens 104 may include a plastic or glass material. For example, the fourth lens 104 may be made of a plastic material.

[0106] The fourth lens 104 may include a seventh surface S7 defined as an object side surface and an eighth surface S8 defined as a sensor side surface. On the optical axis OA, the seventh surface S7 may have a concave shape, and the eighth surface S8 may have a convex shape. That is, the fourth lens 104 may have a meniscus shape that protrudes from the optical axis OA toward the sensor. Alternatively, the fourth lens 104 may have a convex shape on both sides of the optical axis. Alternatively, the fourth lens 104 may have a concave shape on both sides of the optical axis OA. At least one of the seventh surface S7 and the eighth surface S8 may be an aspherical surface. For example, both the seventh surface S7 and the eighth surface S8 may be aspherical surfaces. The aspherical coefficients of the seventh surface S7 and the eighth surface S8 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28In the setting shown, L4 is the fourth lens 104, L4S1 is the seventh surface, and L4S2 is the eighth surface.

[0107] The fifth lens 105 may have a positive (+) or negative (-) refractive power on the optical axis OA. The fifth lens 105 may have a positive (+) refractive power. The fifth lens 105 may include a plastic or glass material. For example, the fifth lens 105 may be made of a plastic material.

[0108] When representing the absolute value, the focal length of the fifth lens 105 may be the largest in the optical system, and for example, may satisfy the following formula: F6 < F4 < F5, and F5 may be 90 mm or more. In addition, the following formula may be satisfied: F4 < (F5 / 2). Here, F4 is the focal length of the fourth lens 104, and F6 is the focal length of the sixth lens 106. Here, the position of the lens having the largest focal length in the optical system may be located at the n - 6th position from the last lens, and n is the total number of lenses.

[0109] The fifth lens 105 may include a ninth surface S9 defined as the object - side surface and a tenth surface S10 defined as the sensor - side surface. On the optical axis OA, the ninth surface S9 may have a concave shape, and the tenth surface S10 may have a convex shape. That is, the fifth lens 105 may have a meniscus shape protruding toward the sensor side from the optical axis OA. Alternatively, the ninth surface S9 of the optical axis OA may have a concave shape, and the tenth surface S10 may have a concave shape. The fifth lens may have a convex shape on both sides. Alternatively, the fifth lens may have a convex shape on both sides. The ninth surface S9 and the tenth surface S10 of the fifth lens 105 may be set such that there is no critical point from the optical axis OA to the end of the effective area.

[0110] At least one of the ninth surface S9 and the tenth surface S10 may be an aspherical surface. For example, both the ninth surface S9 and the tenth surface S10 may be aspherical surfaces. The aspherical coefficients of the ninth surface S9 and the tenth surface S10 are as Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the setting shown, L5 is the fifth lens 105, L5S9 is the ninth surface, and L5S2 is the tenth surface.

[0111] The sixth lens 106 may have a positive (+) or negative (-) refractive power along the optical axis OA. The sixth lens 106 may have a negative (-) refractive power. The sixth lens 106 may include a plastic or glass material. For example, the sixth lens 106 may be made of a plastic material.

[0112] The sixth lens 106 may include an eleventh surface S11 defined as an object side surface and a twelfth surface S12 defined as a sensor side surface. On the optical axis OA, the eleventh surface S11 may have a concave shape, and the twelfth surface S12 may have a convex shape. That is, the sixth lens 106 may have a meniscus shape convex from the optical axis OA toward the sensor. Alternatively, the sixth lens 106 may have a shape that is concave on both sides or convex on both sides on the optical axis OA. Alternatively, the sixth lens 106 may have a meniscus shape convex toward the object side.

[0113] At least one of the eleventh surface S11 and the twelfth surface S12 of the sixth lens 106 may be an aspherical surface. For example, both the eleventh surface S11 and the twelfth surface S12 may be aspherical surfaces. The aspherical coefficients of the eleventh surface S11 and the twelfth surface S12 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L6 is the sixth lens 106, L6S1 is the eleventh surface, and L6S2 is the twelfth surface.

[0114] The seventh lens 107 may have positive (+) or negative (-) refractive power on the optical axis OA. The seventh lens 107 may have negative (-) refractive power. The seventh lens 107 may include a plastic or glass material. For example, the seventh lens 107 may be made of a plastic material.

[0115] The seventh lens 107 may include a thirteenth surface S13 defined as an object side surface and a fourteenth surface S14 defined as a sensor side surface. On the optical axis OA, the thirteenth surface S13 may have a convex shape, and the fourteenth surface S14 may have a concave shape. That is, the seventh lens 107 may have a meniscus shape convex from the optical axis OA toward the object side. Alternatively, the seventh lens 107 may have a shape that is concave on both sides or convex on both sides on the optical axis OA. Alternatively, the sixth lens 107 may have a meniscus shape convex toward the sensor.

[0116] At least one of the thirteenth surface S13 and the fourteenth surface S14 of the seventh lens 107 may be an aspherical surface. For example, both the thirteenth surface S13 and the fourteenth surface S14 may be aspherical surfaces. The aspherical coefficients of the thirteenth surface S13 and the fourteenth surface S14 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L7 is the seventh lens 107, L7S1 is the thirteenth surface, and L7S2 is the fourteenth surface.

[0117] At least one or both of the thirteenth surface S13 and the fourteenth surface S14 of the seventh lens 107 may have a critical point. For example, the thirteenth surface S13 may have at least one critical point from the optical axis OA to the end of the effective area. The fourteenth surface S14 may have at least one critical point from the optical axis to the end of the effective area. The critical point is a point at which the sign of the slope value relative to the optical axis OA and the direction perpendicular to the optical axis OA changes from positive (+) to negative (-) or from negative (-) to positive (+), and may refer to a point at which the slope value is zero. In addition, the critical point may be a point at which the slope value of a tangent line passing through the lens surface decreases as it increases, or a point at which the slope value increases as it decreases.

[0118] The eighth lens 108 may have positive (+) or negative (-) refractive power on the optical axis OA. The eighth lens 108 may have positive (+) refractive power. The eighth lens 108 may include a plastic or glass material. For example, the eighth lens 108 may be made of a plastic material.

[0119] The eighth lens 108 may include a fifteenth surface S15 defined as an object side surface and a sixteenth surface S16 defined as a sensor side surface. On the optical axis OA, the fifteenth surface S15 may have a concave shape, and the sixteenth surface S16 may have a convex shape. That is, the eighth lens 108 may have a meniscus shape convex from the optical axis OA toward the sensor. Alternatively, the eighth lens 108 may have a concave or convex shape on both sides. Alternatively, the eighth lens 108 may have a meniscus shape convex toward the object side. At least one or both of the fifteenth surface S15 and the sixteenth surface S16 of the eighth lens 108 may be set to have no critical point.

[0120] At least one of the fifteenth surface S15 and the sixteenth surface S16 of the eighth lens 107 may be an aspherical surface. For example, both the fifteenth surface S15 and the sixteenth surface S16 may be aspherical surfaces. The aspherical coefficients of the fifteenth surface S15 and the sixteenth surface S16 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L8 is the eighth lens 108, L8S1 is the fifteenth surface, and L8S2 is the sixteenth surface.

[0121] The ninth lens 109 may have positive (+) or negative (-) refractive power on the optical axis OA. The ninth lens 109 may have positive (+) refractive power. The ninth lens 109 may include a plastic or glass material. For example, the ninth lens 109 may be made of a plastic material.

[0122] The ninth lens 109 may include a seventeenth surface S17 defined as an object side surface and an eighteenth surface S18 defined as a sensor side surface. On the optical axis OA, the seventeenth surface S17 may have a convex shape, and the eighteenth surface S18 may have a convex shape. That is, the ninth lens 109 may have a convex shape on both sides of the optical axis OA. Alternatively, the ninth lens 109 may have a meniscus shape with both sides concave or convex toward the sensor. At least one or both of the seventeenth surface S17 and the eighteenth surface S18 of the ninth lens 109 may be set to have no critical point.

[0123] At least one of the seventeenth surface S17 and the eighteenth surface S18 of the ninth lens 109 may be an aspherical surface. For example, both the seventeenth surface S17 and the eighteenth surface S18 may be aspherical surfaces. The aspherical coefficients of the seventeenth surface S17 and the eighteenth surface S18 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28 In the arrangement shown in , L9 is the ninth lens 109, L9S1 is the seventeenth surface, and L9S2 is the eighteenth surface.

[0124] The tenth lens 110 may have a negative (-) refractive power on the optical axis OA. The tenth lens 110 may include a plastic or glass material. For example, the tenth lens 110 may be made of a plastic material.

[0125] The tenth lens 110 may include a nineteenth surface S19 defined as an object side surface and a twentieth surface S20 defined as a sensor side surface. On the optical axis OA, the nineteenth surface S19 may have a concave shape, and the twentieth surface S20 may have a convex shape. That is, the tenth lens 110 may have a meniscus shape convex from the optical axis OA toward the sensor. Alternatively, the tenth lens 110 may have a concave or convex shape on both sides of the optical axis OA, or may have a meniscus shape convex toward the object side.

[0126] At least one or both of the nineteenth surface S19 and the twentieth surface S20 of the tenth lens 110 may have a critical point. The critical point of the nineteenth surface S19 or the twentieth surface S20 may be located at an end of the effective area, that is, a region closer to the edge than the optical axis.

[0127] At least one of the nineteenth surface S19 and the twenty-third surface S20 of the tenth lens 110 may be an aspherical surface. For example, both the nineteenth surface S19 and the twenty-third surface S20 may be aspherical surfaces. The aspherical coefficients of the nineteenth surface S19 and the twenty-third surface S20 are as follows: Figure 4 , Fig.12 , Fig. 20 and Fig.28In the arrangement shown in , L10 is the tenth lens 110, L10S1 is the nineteenth surface, and L10S2 is the twentieth surface.

[0128] The eleventh lens 111 may have a negative (-) refractive power on the optical axis OA. The eleventh lens 111 may include a plastic or glass material. For example, the eleventh lens 111 may be made of a plastic material. The eleventh lens 111 may be a lens closest to the sensor or the last lens in the optical system 1000.

[0129] The eleventh lens 111 may include a twenty-first surface S21 defined as an object side surface and a twenty-second surface S22 defined as a sensor side surface. On the optical axis OA, the twenty-first surface S21 may have a concave shape, and the twenty-second surface S22 may have a convex shape. That is, the eleventh lens 111 may have a meniscus shape convex from the optical axis OA toward the sensor side. Alternatively, the eleventh lens 111 may have a meniscus shape convex from the optical axis OA toward the object side, or may have a concave shape or a convex shape on both sides.

[0130] The 21st surface S21 of the 11th lens 111 may have a critical point, and the critical point may be located in a region closer to the edge of the effective area than the optical axis. The 20th surface S20 of the 11th lens 111 may be arranged to have no critical point from the optical axis OA to the end of the effective area. That is, the distance between the 20th surface S20 and a straight line passing through the center and orthogonal to the optical axis may gradually increase from the center toward the edge.

[0131] At least one of the twenty-first surface S21 and the second second surface S22 of the eleventh lens 111 may be an aspherical surface. For example, both the twenty-first surface S21 and the second second surface S22 may be aspherical surfaces. The aspherical coefficients of the twenty-first surface S21 and the second second surface S22 are as follows: Figure 4 , Fig.12 , Fig. 20 , Fig.28 In the arrangement shown in , L11 is the eleventh lens 111, L11S1 is the twenty-first surface, and L11S2 is the twenty-second surface.

[0132] Among the fourth lens 104 to the tenth lens 110, the lens having the largest center thickness is the ninth lens 109, and the center thickness of the ninth lens 109 may be greater than the optical axis distance between the sixth lens 106 and the seventh lens 107, and may be, for example, 0.6 mm or more. The lens having the smallest center thickness in the second lens group LG2 may be any one of the fourth lens 104 to the eighth lens 108, and may be a lens having a center thickness of less than 0.5 mm or less than 0.4 mm. Therefore, the optical system 1000 may control incident light and may have improved aberration characteristics and resolution. The lens having the largest center thickness in the optical system may be the ninth lens 109, and the lens having the smallest center thickness may be the third lens 103. The difference between the maximum thickness and the minimum thickness in the optical system may be less than 5 times or less than 4 times. Therefore, the optical system 1000 having 9 or more lenses may be provided in a slim size.

[0133] Among the fourth lens 104 to the eleventh lens 111, the fourth lens 104 may have the smallest average effective diameter CA of the lens, and the eleventh lens 111 may have the largest average effective diameter. Specifically, in the second lens group LG2, the size of the effective diameter of the seventh surface S7 of the fourth lens 104 may be the smallest, and the size of the effective diameter of the twenty-second surface S22 may be the largest. The effective diameter of the twenty-second surface S22 may be the largest effective diameter in the optical system. Since the size of the effective diameter of the eleventh lens 111 is maximized, light is refracted in the optical axis direction by the first lens group LG1, and the light may be refracted to the periphery of the image sensor 300 by the second lens group LG2. Therefore, the optical system 1000 may have an improved chromatic aberration control characteristic, and the vignetting characteristic of the optical system 1000 may be improved by controlling the incident light.

[0134] In the second lens group LG2, the number of lenses having a refractive index greater than 1.6 may be greater than the number of lenses having a refractive index less than 1.6. In the second lens group LG2, the number of lenses having an Abbe number greater than 50 may be less than the number of lenses having an Abbe number less than 50.

[0135] Meanwhile, in the first to third embodiments, the length of ImgH of the image sensor 300 may be 6 mm or less, and in the fourth embodiment, the length of ImgH of the image sensor 300 may be greater than 6 mm. In the first to third embodiments, the TTL of the optical system may be 10 mm or less, and in the fourth embodiment, the TTL may be greater than 10 mm. The TTL of the third embodiment may be less than 8 mm. The second embodiment may have a lower F number than the first, third, and fourth embodiments, and may be less than 1.7.

[0136] exist Figure 1 and Fig.10 In the first embodiment and the tenth embodiment, the critical point of the nineteenth surface S19 of the tenth lens 110 may be located at a position 70% or more of the effective radius from the optical axis OA, for example, in the range of 70% to 94%. Figure 1 , Fig.10 and Fig.18 In the first to third embodiments, the critical point of the nineteenth surface S19 of the tenth lens 110 may be located at a position of 80% or more of the effective radius from the optical axis OA, for example, in the range of 80% to 94%. Alternatively, the critical point of the nineteenth surface S19 of the tenth lens 110 may be located at a distance of 3 mm or more from the optical axis OA, for example, in the range of 3 mm to 3.8 mm. Fig.28 In the fourth embodiment, when the effective radius may be greater than 5 mm or greater than 6 mm, the critical point of the nineteenth surface S19 may be located 4.5 mm or more from the optical axis OA, for example, in the range of 4.5 mm to 5.5 mm.

[0137] The twentieth surface S20 of the tenth lens 110 may have no critical point from the optical axis OA to the end of the effective area. Fig. 20 and Fig.28 In an embodiment, the critical point of the twentieth surface S20 may be located at 80% or more of the effective radius from the optical axis, for example, in the range of 80% to 92%. In an embodiment, the critical point of the twenty-first surface S21 of the eleventh lens 111 may be set at 60% or more of the effective radius from the optical axis OA, or at a position within the range of 70% to 85% from the optical axis OA.

[0138] Reference Figure 1 , Fig.10 and Fig.18 In an embodiment, when the effective radius of the twenty-first surface S21 is less than 5 mm, the critical point of the twenty-first surface S21 may be located 3 mm or more from the optical axis OA, for example, in the range of 3 mm to 3.8 mm. Fig.28 In an embodiment, when the effective radius is greater than 5 mm or greater than 6 mm, the critical point of the twenty-first surface S21 may be located 4.5 mm or more away from the optical axis OA, for example, in the range of 4.5 mm to 5.5 mm.

[0139] exist Figure 2, the twenty-second surface S22 of the eleventh lens 111 may be set to have no critical point from the optical axis OA to the end of the effective area. Here, the effective radius r112 of the twenty-second surface S22 is the distance from the optical axis OA to the end of the effective area, and the first distance K3 may be defined as the distance from a straight line orthogonal to the optical axis OA and passing through the center of the twenty-second surface S22 to the lens surface at a height less than 0.1 mm, or a point at which the inclination angle of a tangent line passing through the twenty-second surface S22 is less than 10 degrees. In the case where the maximum distance from the optical axis to a point less than 0.1 mm from the lens surface is the first distance K3, the first distance K3 may be located at 20% or more of the effective radius r112, for example, in the range of 20% to 55%.

[0140] When the effective radius r112 of the twenty-second surface S22 of the eleventh lens 111 is less than 5 mm, Figure 1 , Fig.10 and Fig.18 In the embodiment of the present invention, the first distance K3 may be located at 53% or less of the effective radius r112, for example, in the range of 43% to 53%, or preferably, it may be located at a distance of 2.4 mm or less from the optical axis OA, for example, in the range of 1.8 mm to 2.4 mm. When the effective radius r112 of the twenty-second surface S22 is greater than 5 mm or greater than 6 mm, Fig.26 In an embodiment, the first distance K3 can be located at 39% or less of the effective radius r112, for example in the range of 20% to 39%, or preferably, it can be located at a distance of 3mm or less from the optical axis OA, for example in the range of 2mm to 3mm.

[0141] In addition, Figure 2 In , a distance from the eleventh lens 111 to a point where the inclination angle of a tangent line passing through the twenty-second surface S22 is less than 10 degrees may be defined as a first distance K3. Figure 1 , Fig.10 and Fig.18 In the embodiment, when the effective radius r112 of the twenty-second surface S22 is less than 5 mm, the first distance K3 may be located at 53% or less of the effective radius r112, for example, in the range of 43% to 53%, or preferably, it may be located at a distance of 2.4 mm or less from the optical axis OA, for example, in the range of 1.8 mm to 2.4 mm. When the effective radius r112 of the twenty-second surface S22 is greater than 5 mm or greater than 6 mm, Fig.26 In an embodiment, the first distance K3 can be located at 50% or less of the effective radius r112, for example in the range of 35% to 50%, or preferably, it can be located at a distance of 3.5 mm or less from the optical axis OA, for example, 2.5 mm to 3.5 mm.

[0142] Since the 22nd surface S22 of the 11th lens 111 is provided without a critical point, the center of the 22nd surface S22 may be located closest to the image sensor 300. Therefore, it is not necessary to increase the distance between the 11th lens 111 and the image sensor 300, thereby preventing the TTL of the optical system from increasing.

[0143] Specifically, preferably, the eleventh lens 111 of the optical system 1000 satisfies the aforementioned range for controlling optical characteristics such as chromatic aberration, distortion characteristics, aberration characteristics, and resolving power. Therefore, the path of light emitted to the image sensor 300 through the lens can be effectively controlled. Therefore, the optical system 1000 according to the embodiment can have improved optical characteristics even in the central part and the peripheral part of the field of view (FOV).

[0144] like Figure 2 As shown in , the normal line K2 is a straight line perpendicular to the tangent line K1 passing through any point on the sensor-side 22nd surface S22 of the 11th lens 111 as the last lens, and may have a predetermined angle θ1 with the optical axis OA, and the maximum angle of the angle θ1 may be greater than 5 degrees and less than 45 degrees. Therefore, since the optical axis region or the paraxial region of the 20th surface S20 has the minimum sag value, a slim optical system can be provided.

[0145] The back focal length (BFL) is the optical axis distance from the image sensor 300 to the last lens. That is, the BFL is the distance between the image sensor 300 and the sensor-side 22nd surface S22 of the eleventh lens 111 on the optical axis. CT10 is the center thickness or optical axis thickness of the tenth lens 110, and L10_ET is the end or edge thickness of the effective area of ​​the tenth lens 110. CT11 is the center thickness or optical axis thickness of the eleventh lens 111. CG10 is the optical axis distance (i.e., center distance) from the center of the sensor-side surface of the tenth lens 110 to the center of the object-side surface of the eleventh lens 111. That is, the optical axis distance CG10 from the center of the sensor-side surface of the tenth lens 110 to the center of the object-side surface of the eleventh lens 111 is the distance between the twentieth surface S20 and the twenty-first surface S21 on the optical axis OA. In this form, the center thickness of each of the first lens 101 to the eleventh lens 111 may be represented by CT1 to CT11, and the edge thickness as the end of the effective area may be represented by ET1 to ET11.

[0146] In addition, the center distance between the first lens 101 and the second lens 102 is CG1, the center distance between the second lens 102 and the third lens 103 is CG2, and the center distance between the third lens 103 and the fourth lens 104 is CG3. The center distance between the fourth lens 104 and the fifth lens 105 is CG4, the center distance between the fifth lens 105 and the sixth lens 106 is CG5, the center distance between the sixth lens 106 and the seventh lens 107 is CG6, the center distance between the seventh lens 107 and the eighth lens 108 is CG7, the center distance between the eighth lens 108 and the ninth lens 109 is CG8, the center distance between the ninth lens 109 and the tenth lens 110 is CG9, and the center distance between the tenth lens 110 and the eleventh lens 111 can be defined as CG10. The edge distances between two adjacent lenses can be represented by EG1 to EG10.

[0147] As Figure 5 , Fig.13 , Fig.21 and Fig.29 shown, the thicknesses of each of the lenses 101 to 111 are indicated by T1 to T11 and can be indicated at a distance of 0.1 mm or more along the first direction Y with respect to the optical axis. In addition, the distances between two adjacent lenses can be represented by G1 to G10 and can be represented as a distance of 0.1 mm or more from the center between two adjacent lenses toward the first direction Y.

[0148] As Figure 3 , Fig.11 , Fig.19 and Fig. 27 shown, the distance CG10 between the tenth lens 110 and the eleventh lens 111 can be greater than the center distance CG3 between the third lens 103 and the fourth lens 104, can satisfy the following relationship: CG3 < CG10, and CG10 can be a value of 0.5 mm or more. Among the center distances CG1 to CG10 between two adjacent lenses, the distance CG10 between the tenth lens 110 and the eleventh lens 111 can be the largest, and the center distance CG3 between the third lens 103 and the fourth lens 104 can be the second largest.

[0149] Among the center thicknesses of the lenses, the center thickness CT1 of the first lens 101 is the largest among the center thicknesses of the lenses and can be greater than the center distance CG10 between the tenth lens 110 and the eleventh lens 111. The center thickness CT3 of the third lens 103 is the smallest among the center thicknesses of the lenses and can be less than the center distance CG4 between the third lens 103 and the fourth lens 104.

[0150] Here, when the sum of the center thicknesses of three lenses having a thickness greater than the center thicknesses of other lenses is CTabc, and the sum of the center distances of three distances greater than the center distances between adjacent lenses is CGabc, the following relationship may be satisfied: CTabc>CGabc. CTabc*n may be greater than or equal to 15 mm, for example, in the range of 15 mm to 30 mm, CTabc*n may be greater than or equal to 14 mm, for example, in the range of 14 mm to 28 mm, and n is the number of lenses. Therefore, the optical system 1000 having 10 or more lenses may be provided in a slim size. In the specification, * indicates multiplication.

[0151] The number of lenses of 1.6 or more in the optical system 1000 may be 50% or more of the total number of lenses. When the number of lenses equal to or greater than 1.6 is Na, the following relationship may be satisfied: Na*n>55, where n is the number of lenses.

[0152] The total refractive index average value may be greater than or equal to 1.55, for example, greater than or equal to 1.58. The total Abbe number average value may be 40 or less, for example, 35 or less. The sum of the center thickness of each lens may be greater than or equal to 3.5 mm, for example, in the range of 3.5 mm to 7.5 mm. Preferably, the first to third embodiments may be less than 6 mm, for example, in the range of 3.5 mm to 5.5 mm, and the fourth embodiment may be greater than 6 mm, for example, in the range of 6.1 mm to 7.5 mm.

[0153] The sum of the center distances between adjacent lenses may be less than or equal to 4.2 mm, for example, in the range of 2 mm to 4.2 mm. Preferably, the sum of the center distances of the first to third embodiments may be in the range of 2 mm to 3 mm, and the sum of the center distances of the fourth embodiment may be in the range of 3 mm to 4.2 mm. A thin optical system having such a center thickness and center distance may be provided.

[0154] Describing the radius of curvature as an absolute value, at least one or both of the seventeenth surface S17 of the ninth lens 109 or the twenty-second surface S22 of the eleventh lens 111 in the lens portions 100, 100A, 100B, and 100C may be larger than the radius of curvature of the other lens surfaces. Preferably, in the first to third embodiments, the radius of curvature of the twenty-second surface S22 of the eleventh lens 111 may be the largest among the lens surfaces. In the fourth embodiment, the radius of curvature of the seventeenth surface S17 of the ninth lens 109 may be the largest among the lens surfaces.

[0155] Describing the focal length as an absolute value, the focal length of the fifth lens 105 in the lens sections 100, 100A, 100B, and 100C may be the largest among the lenses, and the focal length of the eleventh lens 111 may be the smallest among the lenses. The maximum focal length may be 15 times or more the minimum focal length.

[0156] The optical system 1000 according to the embodiment disclosed above may satisfy at least one or two or more of the formulas described below. Therefore, the optical system 1000 according to the embodiment may have improved optical characteristics. For example, when the optical system 1000 satisfies at least one formula, the optical system 1000 may effectively control aberration characteristics such as chromatic aberration and distortion aberration, and may have good optical performance not only in the central part of the field of view (FOV) but also in the peripheral part. The optical system 1000 may have improved resolution and may have a thinner and more compact structure.

[0157] Hereinafter, the center thickness of the first to eleventh lenses 101 to 111 may be defined as CT1 to CT11, the edge thickness may be defined as ET1 to ET11, and the center distance or optical axis distance between two adjacent lenses may be defined as CG1 to CG10, and the edge distance between two adjacent lenses may be defined as EG1 to EG10. The units of thickness and distance are mm.

[0158] [Formula 1]2 <CT3 / CT1<7

[0159] In Formula 1, when the thickness CT3 of the third lens 103 on the optical axis and the thickness CT1 of the first lens 101 on the optical axis are satisfied, the optical system 1000 can improve the aberration characteristics. Preferably, Formula 1 can satisfy: 2 <CT3 / CT1<5。

[0160] [Formula 2]

[0161] 0.3 <CT3 / ET3<2

[0162] In Formula 2, when the thickness CT3 of the optical axis of the third lens 103 and the edge thickness ET3 of the third lens 103 are satisfied, the optical system 1000 may have improved chromatic aberration control characteristics. Preferably, Formula 2 may satisfy: 0.3 <CT3 / ET3<1。

[0163] [Formula 2-1]1 <CT1 / ET1<5

[0164] [Formula 2-2]1 <CT2 / ET2<5

[0165] [Formula 2-3] (CT2+CT3) <CT1

[0166] [Formula 2-4] 0.8 <CT4 / ET4<3

[0167] [Formula 2-5] 0.8≤CT5 / ET5<3

[0168] [Formula 2-6] 0.7 <CT6 / ET6<3

[0169] [Formula 2-7] 0.6≤CT7 / ET7<1.2

[0170] [Formula 2-8] 0.6 <CT8 / ET8<1.2

[0171] [Formula 2-9]1 <CT9 / ET9<3

[0172] [Formula 2-10]1 <CT10 / ET10<3

[0173] [Formula 2-11] 0.3 <CT11 / ET11<1.2

[0174] [Formula 2-12] 0.5 <SD / TD<1

[0175] When the ratio of the center thickness to the edge thickness of the second lens 102 to the eleventh lens 111 in Formula 2-1 to Formula 2-12 is satisfied, the optical system 1000 may have improved chromatic aberration control characteristics. SD is the optical axis distance from the aperture stop to the sensor-side 22nd surface S22 of the eleventh lens 111, and TD is the distance on the optical axis from the object-side first surface S1 of the first lens 101 to the sensor-side 22nd surface S22 of the eleventh lens 111. The aperture stop may be provided around the sensor-side surface of the second lens 102. When the optical system 1000 according to the embodiment satisfies Formula 2-12, the chromatic aberration of the optical system 1000 may be improved.

[0176] [Formula 2-13] 1<|F_LG2 / F_LG1|<10

[0177] F_LG1 is the composite focal length of the first lens group LG1, and F_LG2 is the composite focal length of the second lens group LG2. When the optical system 1000 according to the embodiment satisfies Formula 2-13, the chromatic aberration of the optical system 1000 can be improved. That is, when the value of Formula 2-13 is close to 1, the distortion aberration can be reduced. The value of Formula 2-13 can satisfy: 2<|F_LG2 / F_LG1|<6.

[0178] [Equation 3]3<ΣCT–CT_Aver<7

[0179] In Formula 3, ΣCT is the sum of the center thicknesses of all lenses, for example, the sum of the center thicknesses of the first lens to the eleventh lens. CT_Aver is the average value of the center thicknesses of all lenses. When Formula 3 is satisfied, the optical system can improve the factors affecting the reduction of distortion aberration. Formula 3 can satisfy: 3.5≤ΣCT-CT_Aver≤6.5.

[0180] [Equation 4] 1.6 <n3

[0181] In Formula 4, n3 represents the refractive index of the third lens 103 at the d line. When the optical system 1000 according to the embodiment satisfies Formula 4, the optical system 1000 can improve the chromatic aberration characteristics. Preferably, it can satisfy: 1.65≤n3. In addition, it can satisfy: 17<(n3*n) (n is the total number of lenses).

[0182] [Formula 4-1]

[0183] 16 <n1*n<17

[0184] 16 <n11*n<18

[0185] In Formula 4-1, n1 represents the refractive index of the first lens 101 on the d-line, n11 represents the refractive index of the eleventh lens 111 on the d-line, and n is the number of lenses in the optical system. When the optical system 1000 according to the embodiment satisfies Formula 4-1, the influence on the TTL of the optical system 1000 can be suppressed.

[0186] [Formula 4-2]

[0187] 17 <n6*n

[0188] 16.5 <n10*n

[0189] In Formula 4-2, n6 represents the refractive index of the sixth lens 106 at the d-line, n10 represents the refractive index of the tenth lens 110 at the d-line, and n is the number of lenses in the optical system. When the optical system 1000 according to the embodiment satisfies Formula 4-2, the optical system 1000 can improve chromatic aberration characteristics.

[0190] [Formula 5] 0.5 <L11S2_max_sag to Sensor<1.5

[0191] In Equation 5, L11S2_max_sag to Sensor refers to the distance in the optical axis direction from the maximum Sag value of the twenty-second surface S22 on the sensor side of the eleventh lens 111 to the image sensor 300. For example, L11S2_max_sag to Sensor refers to the distance in the optical axis direction from the critical point P2 of the sensor-side surface of the eleventh lens 111 to the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 5, the optical system 1000 can ensure the space for the filter 500 disposed between the lens portions 100, 100A, 100B, and 100C and the image sensor 300, so that the optical system 1000 can have improved assemblability. In addition, when the optical system 1000 satisfies Equation 5, the optical system 1000 can ensure the space for module manufacturing. Preferably, Equation 5 can be satisfied: 0.5 < L11S2_max_sag to Sensor < 1. In addition, L11S2_max_sag to Sensor can be the same as BFL.

[0192] In the lens data for the embodiment, the position of the filter 500, specifically, the distance between the last lens and the filter 500 and the distance between the image sensor 300 and the filter 500 are set to facilitate the design of the optical system 1000, and the filter 500 can be freely disposed within the range where it does not contact the last lens and the image sensor 300. Therefore, the value of L11S2_max_sag to Sensor in the lens data can be equal to the BFL of the optical system 1000, and the position of the filter 500 can be moved within the range where it does not contact the last lens and the image sensor 300 respectively to obtain good optical performance. That is, the distance between the critical point P2 of the twenty-second surface S22 of the eleventh lens 111 and the image sensor 300 can be the smallest and gradually increases toward the end of the effective area.

[0193] [Equation 6] 0.9 < BFL / L11S2_max_sag to Sensor < 2

[0194] In Equation 6, BFL refers to the distance (mm) on the optical axis OA from the center of the twenty-second surface S22 on the sensor side of the eleventh lens 111 closest to the image sensor 300 to the image surface of the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 6, the optical system 1000 can improve the distortion aberration characteristics and can have good optical performance in the peripheral portion of the FOV. Here, the maximum Sag value can be the position of the critical point. Equation 6 can be satisfied: 1 ≤ BFL / L11S2_max_sag to Sensor < 1.5.

[0195] [Equation 7] 5<|L11S2_max slope|<45

[0196] In Formula 7, L11S2_max slope refers to the maximum value (degree) of the tangential angle measured on the sensor-side 22nd surface S22 of the 11th lens 111. Specifically, in the 22nd surface S22, L11S2_max slope refers to the angle value (degree) of the point having the maximum tangential angle relative to the virtual line extending in the direction perpendicular to the optical axis OA. When Formula 7 according to the embodiment is satisfied, the optical system 1000 can control the occurrence of lens spot. Preferably, Formula 7 can satisfy: 30≤|L11S2_max slope|<45.

[0197] [Equation 8] -5<|L11S2_max slope|-|L10S2_max slope|<30

[0198] In Formula 8, L10S2_max slope represents the maximum value (degree) of the tangential angle measured on the sensor-side twentieth surface S20 of the tenth lens 110. Here, in Formula 8, when the effective radius r112 of the twenty-second surface S22 of the eleventh lens 111 is less than 5 mm, the following condition may be satisfied: 10<|L11S2_max slope|-|L10S2_max slope|<30. In Formula 8, when the effective radius r112 of the twenty-second surface S22 of the eleventh lens 111 is greater than 5 mm or greater than 6 mm, the following condition may be satisfied: -5<|L11S2_max slope|-|L10S2_max slope|<5. When Formula 8 is satisfied, the optical system 1000 may control the occurrence of lens flare.

[0199] [Formula 9] 10 <CG10 / G10_min<60

[0200] Formula 9 can set the center distance CG10 and the minimum distance G10_min of the distance G10 between the tenth lens 110 and the eleventh lens 111. When the optical system 1000 according to the embodiment satisfies Formula 9, the optical system 1000 can improve the distortion aberration characteristics and can have good optical performance in the peripheral part of the FOV. Among the values ​​of Formula 9, the upper limit in the first embodiment, the third embodiment, and the fourth embodiment is 40 or less, and the lower limit in the second embodiment can be greater than 40.

[0201] [Formula 10] <CG10 / EG10<15

[0202] In Equation 10, when the optical axis distance CG10 and the marginal distance EG10 between the tenth lens 110 and the eleventh lens 111 are satisfied, good optical performance can be obtained even in the central part and the peripheral part of the FOV. In addition, the optical system 1000 can reduce distortion and thus has improved optical performance. Among the values of Equation 10, the upper limit in the first embodiment, the second embodiment, and the fourth embodiment is 10 or less, and the lower limit in the third embodiment can be greater than 8.

[0203] [Equation 11] 0.01 < CG2 / CG4 < 1

[0204] In Equation 11, when the optical axis distance CG2 between the second lens 102 and the third lens 103 and the optical axis distance CG4 between the fourth lens 104 and the fifth lens 105 are satisfied, the optical system 1000 can improve the aberration characteristics and control the size of the optical system 1000, such as a reduction in TTL. Preferably, Equation 11 can satisfy the following conditions: 0.01 < CG2 / CG4 < 0.8 or 0.11 < (CG2 / CG4) * n < 8.8, where n is the number of lenses.

[0205] [Equation 11-1] 3 < CA_L11S2 / CG10 < 20

[0206] In Equation 11-1, CA_L11S2 is the effective diameter of the largest lens surface and is the size of the effective diameter of the twenty-second surface S22 on the sensor side of the eleventh lens 111. When the optical system 1000 according to the embodiment satisfies Equation 11-1, the optical system 1000 can improve the aberration characteristics and control the reduction in TTL. Preferably, Equation 11-1 can satisfy: 8 < CA_L11S2 / CG10 < 15.

[0207] [Equation 11-2] 5 < CA_L10S2 / CG10 < 15

[0208] Equation 11-2 can set the effective diameter CA_L10S2 of the twentieth surface S20 on the sensor side of the tenth lens 110 and the optical axis distance CG10 between the tenth lens 110 and the eleventh lens 111. When the optical system 1000 according to the embodiment satisfies Equation 11-2, the optical system 1000 can improve the aberration characteristics and control the reduction in TTL. Preferably, Equation 11-2 can satisfy: 7 < CA_L10S2 / CG10 < 15.

[0209] [Equation 12] 1 ≤ CT1 / CT11 < 5

[0210] When the thickness CT1 of the optical axis of the first lens 101 and the thickness CT11 of the optical axis of the eleventh lens 111 satisfy Equation 12, the optical system 1000 can have improved aberration characteristics. Additionally, the optical system 1000 has good optical performance at a set FOV and can control the TTL. Preferably, Equation 12 can be satisfied as: 2 ≤ CT1 / CT11 < 5 or 22 ≤ (CT1 / CT11)*n < 55, where n is the number of lenses.

[0211] [Equation 13] 1 < CT10 / CT11 < 5

[0212] In Equation 13, when the thickness CT10 of the tenth lens 110 on the optical axis and the thickness CT11 of the eleventh lens 111 on the optical axis are satisfied, the optical system 1000 determines that the manufacturing precision of the tenth lens 110 and the eleventh lens 111 can be reduced, and the optical performance of the central part and the peripheral part of the FOV can be improved. Preferably, Equation 13 can be satisfied as: 1 < CT10 / CT11 < 3 or 11 < (CT10 / CT11)*n < 33, where n is the number of lenses. In the case of the first to third embodiments, the central thicknesses of the seventh lens, the eighth lens, and the tenth lens can satisfy the condition: (CT7 + CT8) < CT10 or (CT7 + CT11) < CG10, and in the case of the fourth embodiment, the condition: (CT7 + CT11) < CG10 can be satisfied.

[0213] [Equation 14] 5 < L10R2 / L11R1 < 20

[0214] In Equation 14, L10R2 refers to the radius of curvature (mm) of the twentieth surface S20 of the tenth lens 110 on the optical axis, and L11R1 refers to the radius of curvature of the twenty - first surface S21 of the eleventh lens 111 on the optical axis. When the optical system 1000 according to the embodiment satisfies Equation 14, the aberration characteristics of the optical system 1000 can be improved. Preferably, Equation 14 can satisfy the following conditions: 7 < L10R2 / L11R1 ≤ 15 or 55 < (L10R2 / L11R1)*n < 220, where n is the number of lenses.

[0215] [Equation 15] 0 < (CG10 – EG10) / (CG10) < 2

[0216] When Equation 15 satisfies the central distance CG10 and the edge distance CG11 between the tenth lens 110 and the eleventh lens 111, the optical system 1000 can reduce distortion and has improved optical performance. When the optical system 1000 according to the embodiment satisfies Equation 15, the optical performance of the central part and the peripheral part of the FOV can be improved. Equation 15 can preferably be satisfied as: 0 < (CG10 - EG10) / (CG10) < 1.

[0217] [Equation 16] 1 < CA_L1S1 / CA_L3S1 < 2

[0218] In Equation 16, CA_L1S1 refers to the effective diameter CA (aperture diameter) of the first surface S1 of the first lens 101, and CA_L3S1 refers to the effective diameter of the fifth surface S5 of the third lens 103. When the optical system 1000 according to the embodiment satisfies Equation 16, the optical system 1000 can control the light incident on the first lens group LG1 and can have improved aberration control characteristics. Equation 16 preferably satisfies: 1 ≤ CA_L1S1 / CA_L3S1 ≤ 1.5 or 11 ≤ (CA_L1S1 / CA_L3S1) * n ≤ 17, where n is the number of lenses.

[0219] [Equation 17] 1 < CA_L11S2 / CA_L4S2 < 5

[0220] In Equation 17, CA_L4S2 refers to the effective diameter of the eighth surface S8 of the fourth lens 104, and CA_L11S2 refers to the effective diameter of the twenty-second surface S22 of the eleventh lens 111. When the optical system 1000 according to the embodiment satisfies Equation 17, the optical system 1000 can control the light incident on the second lens group LG2 and improve the aberration characteristics. Preferably, Equation 17 can satisfy: 2 < CA_L11S2 / CA_L4S2 < 4 or 32 < (CA_L11S2 / CA_L4S2) * n < 44, where n is the number of lenses.

[0221] [Equation 18] 0.8 < CA_L4S2 / CA_L3S2 < 2

[0222] In Equation 18, when the effective diameter CA_L3S2 of the sixth surface S6 of the third lens 103 and the effective diameter CA_L4S2 of the eighth surface S8 of the fourth lens 104 are satisfied, the optical system 1000 can improve the chromatic aberration by controlling the optical path between the first lens group LG1 and the second lens group LG2 and can control the vignetting of the optical performance. Preferably, Equation 18 can satisfy: 1 ≤ CA_L4S2 / CA_L3S2 < 1.5 or 11 ≤ (CA_L4S2 / CA_L3S2) * n < 15, where n is the number of lenses.

[0223] [Equation 19] 0.1 < CA_L10S2 / CA_L11S2 ≤ 1

[0224] In Formula 19, when the effective diameter CA_L10S2 of the twentieth surface S20 of the tenth lens 110 and the effective diameter CA_L11S2 of the twenty-second surface S22 of the eleventh lens 111 are satisfied, the optical system 1000 can improve chromatic aberration by controlling the light path on the exit side. Preferably, Formula 19 can satisfy: 0.5≤CA_L10S2 / CA_L11S2≤1 or 5.5≤(CA_L10S2 / CA_L11S2)*n≤11, where n is the number of lenses.

[0225] [Formula 20]1 <CG3 / EG3<15

[0226] In Formula 20, when the center distance CG3 and the edge distance EG3 between the third lens 103 and the fourth lens 104 are satisfied, the optical system 1000 can reduce chromatic aberration and improve aberration characteristics and controllable vignetting of optical performance. Preferably, Formula 20 can satisfy: <CG3 / EG3<13。

[0227] [Equation 21] <CG9 / EG9<1

[0228] In formula 21, when the center distance CG9 and the edge distance EG9 between the ninth lens 109 and the tenth lens 110 are satisfied, the optical system can have good optical performance in the central part and the peripheral part of the FOV, and can prevent the occurrence of distortion. Preferably, formula 21 can satisfy the condition: 0.2 <CG9 / EG9<0.6。

[0229] At least one of Equation 20 and Equation 21 may further include at least one of Equations 21-1 to 21-6.

[0230] [Formula 22-1]0 <CG1 / EG1<1

[0231] [Formula 22-2]0 <CG2 / EG2<1

[0232] [Formula 22-3] 0.5 <CG4 / EG4<2

[0233] [Formula 22-4] 0.5 <CG5 / EG5<2

[0234] [Formula 22-5] 0.1 <CG6 / EG6<0.5

[0235] [Formula 22-6]1 <CG7 / EG7<10

[0236] [Formula 22-7]0 <CG8 / EG8<1

[0237] [Formula 22-8]1 <CG10 / EG10<20

[0238] [Equation 22] 0.8 < G10_max / CG10 < 1.2

[0239] In Equation 22, when the central distance CG10 and the maximum distance G10_max that satisfy the distance between the tenth lens 110 and the eleventh lens 111 are met, the optical system 1000 can improve the optical performance in the peripheral part of the FOV. Also, the distortion of the aberration characteristics can be suppressed.

[0240] [Equation 23] 0 < CT10 / CG10 < 1

[0241] In Equation 23, when the thickness CT10 of the tenth lens 110 on the optical axis and the distance CG10 on the optical axis between the tenth lens 110 and the eleventh lens 111 are met, the optical system 1000 can reduce the sizes of the effective diameters of the tenth lens and the eleventh lens and the center distance between adjacent lenses, and improve the optical performance of the peripheral part of the FOV. Preferably, Equation 23 can satisfy: 0.4 < CT10 / CG10 < 1 or 4.4 < (CT10 / CG10) * n < 11, where n is the total number of lenses.

[0242] [Equation 24] 0.1 < CT11 / CG10 < 1

[0243] In Equation 24, when the thickness CT11 of the eleventh lens 111 on the optical axis and the distance CG10 between the tenth lens 110 and the eleventh lens 111 are met, the optical system 1000 can reduce the sizes and distances of the effective diameters of the tenth lens and the eleventh lens, and improve the optical performance of the peripheral part of the FOV. Preferably, Equation 24 can satisfy the condition: 0.1 < CT11 / CG10 < 0.5 or 1.1 < (CT11 / CG10) * n < 5.5.

[0244] [Equation 25] (CT8 + CT9 + CT10) > (CG7 + CG8 + CG9 + CG10)

[0245] In Equation 25, when the central thicknesses CT8, CT9, and CT10 of the eighth lens, the ninth lens, and the tenth lens and the distances CG7, CG8, CG9, and CG10 on the optical axis between the eighth lens, the ninth lens, the tenth lens, and the eleventh lens are met, the optical system 1000 can reduce the sizes and distances of the effective diameters of the eighth lens to the eleventh lens, and improve the optical performance of the peripheral part of the FOV.

[0246] [Equation 26] 0 < CT9 / CG10 < 1

[0247] When Equation 26 satisfies the thickness CT9 of the ninth lens 109 on the optical axis and the optical-axis distance CG10 between the tenth lens and the eleventh lens, the optical system 1000 can reduce the sizes of the effective diameters and the center distance of the ninth lens and the tenth lens, and improve the optical performance of the peripheral portion of the FOV. Preferably, Equation 26 can satisfy the following condition: 0.5 < CT9 / CG10 < 0.9 or 5.5 < (CT9 / CG10) * n < 9.9, where n is the total number of lenses.

[0248] [Equation 27] 1 < |L10R1 / CT10| < 50

[0249] When Equation 27 satisfies the radius of curvature L10R1 of the nineteenth surface S19 of the tenth lens and the thickness CT10 of the tenth lens on the optical axis, the optical system 1000 can control the refractive power of the tenth lens and improve the optical performance of the light at the exit side of the second lens group LG2. Preferably, Equation 27 can satisfy the following condition: 20 < |L10R1 / CT10| < 50, or 220 < (|L10R1 / CT10|) * n < 550, where n is the total number of lenses.

[0250] [Equation 28] 1 < L10R1 / L11R1 < 10

[0251] When Equation 28 satisfies the radius of curvature L10R1 of the nineteenth surface S19 of the tenth lens and the radius of curvature L11R1 of the twenty-first surface S21 of the eleventh lens, the shapes and refractive powers of the tenth lens and the eleventh lens can be controlled, the optical performance can be improved, and the optical performance of the exit side of the second lens group LG2 can be improved. Preferably, Equation 28 can satisfy: 4 < L10R1 / L11R1 < 9.

[0252] [Equation 28-1] 0 < L1R1 / L1R2 < 1

[0253] [Equation 28-2] 0 < L2R1 / L2R2 < 1

[0254] [Equation 28-3] 1 < L3R1 / L3R2 < 2

[0255] [Equation 28-4] 1 < L4R1 / L4R2 < 2

[0256] [Equation 28-5] 1 ≤ L5R1 / L5R2 < 2

[0257] [Equation 28-6] 0.1 ≤ L6R1 / L6R2 < 1

[0258] [Equation 28-7] 1 < L7R1 / L7R2 < 2

[0259] [Equation 28-8] 1 < L8R1 / L8R2 < 2

[0260] [Formula 28-9]-30 <L9R1 / L9R2<0

[0261] [Formula 28-10]0 <L10R1 / L10R2<1

[0262] [Formula 28-11]0 <L11R1 / L11R2<0.1

[0263] Equations 28-1 to 28-11 may set the curvature radii R1 and R2 of the object side surface and the sensor side surface of each lens, and when they are satisfied, the lens size and the resolving power may be determined. At least one of Equations 27 and 28 may include at least one of the following Equations 28-1 to 28-11, and the resolution of each lens may be determined.

[0264] [Equation 29] <CT_Max / CG_Max<2

[0265] In Formula 29, the maximum thickness CT_max of each of the lenses on the optical axis OA and the air gap or maximum value CG_max of the distance between the multiple lenses on the optical axis are satisfied. In this case, the optical system 1000 has good optical performance at the set FOV and focal length, and the size of the optical system 1000, such as TTL, can be reduced. Preferably, Formula 29 satisfies: 1≤CT_Max / CG_Max<2 or 11<(CT_Max / CG_Max)*n<22, where n is the total number of lenses. In addition, the formula can satisfy: CT_Max*n>8, and CG_Max*n>7.

[0266] [Equation 30] 0.5 < ΣCT / ΣCG < 5

[0267] In Formula 30, ΣCT refers to the sum of the thickness (mm) of each of the multiple lenses on the optical axis OA, and ΣCG represents the sum of the distances (mm) between two adjacent lenses of the multiple lenses on the optical axis OA. When the optical system 1000 according to the embodiment satisfies Formula 30, the optical system 1000 has good optical performance at the set FOV and focal length, and the size of the optical system 1000, such as TTL, can be reduced. Preferably, Formula 30 can satisfy 1.5≤ΣCT / ΣCG<2.5. In addition, 17<(ΣCT / ΣCG)*n<28 can be satisfied, where n is the total number of lenses. The formula can satisfy: ΣCT*n>40, and ΣCG*n>22.

[0268] [Equation 31] 10<ΣIndex<30

[0269] In Formula 31, ΣIndex refers to the sum of the refractive index of each of the multiple lenses at the d line. When the optical system 1000 according to the embodiment satisfies Formula 31, the TTL of the optical system 1000 can be controlled and the resolution can be improved. Here, the average refractive index of the first lens to the eleventh lens can be greater than 1.55. Preferably, Formula 33 can satisfy: 10<ΣIndex<20 or 110<(ΣIndex)*n<220, where n is the number of lenses.

[0270] [Equation 32] 10<ΣAbb / ΣIndex<50

[0271] In Formula 32, ΣAbb refers to the sum of the Abbe numbers of each of the plurality of lenses. When the optical system 1000 according to the embodiment satisfies Formula 32, the optical system 1000 may have improved aberration characteristics and resolution. The average Abbe number of the first to eleventh lenses may be 50 or less. Preferably, Formula 32 may satisfy: 10<ΣAbb / ΣIndex<30, or 110<(ΣAbb / ΣIndex)*n<330, where n is the total number of lenses.

[0272] [Formula 33]0<|Max_distortion|<5

[0273] In Formula 33, Max_distortion refers to the maximum distortion value in the region from the center (0.0F) to the diagonal end (1.0F) based on the optical characteristics detected by the image sensor 300. When the optical system 1000 according to the embodiment satisfies Formula 33, the optical system 1000 can improve the distortion characteristics. Preferably, Formula 33 can satisfy: 0.5<|Max_distortion|<3.

[0274] [Equation 34] <EG_Max / CT_Max<2

[0275] In Formula 34, CT_max refers to the thickest thickness (mm) of each of the plurality of lenses on the optical axis OA, and EG_Max is the maximum edge side distance between two adjacent lenses. When the optical system 1000 according to the embodiment satisfies Formula 34, the optical system 1000 has a set FOV and focal length, and can have good optical performance in the peripheral portion of the FOV. Preferably, Formula 34 can satisfy the condition: 0 <EG_Max / CT_Max<1。

[0276] [Equation 35] 0.5 <CA_L1S1 / CA_min<2

[0277] In Equation 35, when the effective diameter CA_L1S1 of the first surface of the first lens and the minimum effective diameter CA_Min among the effective diameters from the first surface S1 to the twenty-second surface S22 are satisfied, the light incident through the first lens can be controlled, and a thin optical system can be set while controlling the light to be emitted and maintaining the optical performance. Preferably, Equation 35 can satisfy the following conditions: 1 < CA_L1S1 / CA_min < 2, or 11 < (CA_L1S1 / CA_min)*n < 22, where n is the total number of lenses.

[0278] [Equation 36] 1 < CA_max / CA_min < 7

[0279] In Equation 36, CA_max refers to the maximum effective diameter among the object-side surface and the sensor-side surface of the plurality of lenses, and refers to the maximum effective diameter (mm) among the effective diameters from the first surface S1 to the twenty-second surface S22. When the optical system 1000 according to the embodiment satisfies Equation 36, the optical system 1000 can set a thin and compact optical system while maintaining the optical performance. Preferably, Equation 36 can satisfy: 3 < CA_max / CA_min < 5.

[0280] [Equation 37] 1 < CA_max / CA_Aver < 4

[0281] In Equation 37, the maximum effective diameter CA_max and the average effective diameter CA_Aver of the object side and the sensor side of the plurality of lenses are set, and when these are satisfied, a thin and compact optical system can be set. Preferably, Equation 37 can satisfy: 1.5 < CA_max / CA_AVR < 3.

[0282] [Equation 38] 0.1 < CA_min / CA_Aver < 1

[0283] In Equation 38, the minimum effective diameter CA_min and the average effective diameter CA_Aver of the object-side surface and the sensor-side surface of the plurality of lenses can be set, and when these are satisfied, a thin and compact optical system can be set. Preferably, Equation 38 can satisfy: 0.1 < CA_min / CA_AVR ≤ 0.8.

[0284] [Equation 39] ΣCA*n > 1000

[0285] In Equation 39, the total effective diameter according to the number of lenses can be set by multiplying the sum ΣCA of the effective diameters of the object-side surface and the sensor-side surface of the plurality of lenses by the total number of lenses. When this is satisfied, a thin and compact optical system can be set.

[0286] [Formula 40]50<(CA_Max-CA_Min)*n>120

[0287] In Equation 40, the difference between the maximum effective diameter CA_Max and the minimum effective diameter CA_Min among the effective diameters on the object side and the sensor side of the plurality of lenses and the total number of lenses n can be set. Therefore, by setting the maximum difference in effective diameter according to the number of lenses, a slim and compact optical system can be provided.

[0288] [Equation 41] 0.1 <CA_max / (2×ImgH)<1.5

[0289] In Formula 41, the maximum effective diameter CA_max of the object side surface and the sensor side surface of the plurality of lenses and the distance ImgH from the center (0.0F) of the image sensor 300 overlapping the optical axis OA of the image sensor 300 to the diagonal end (1.0F) can be set, and when this is satisfied, the optical system 1000 can have good optical performance at the central part and the peripheral part of the FOV and set a thin and compact optical system. Here, ImgH*n can be in the range of 44mm to 110mm, where n is the total number of lenses. Preferably, Formula 41 can satisfy: 0.5≤CA_max / (2*ImgH)<1.

[0290] [Formula 42]

[0291] 0.1 <TD / CA_max<1.5

[0292] In Formula 42, TD is the maximum optical axis distance (mm) from the object side surface of the first lens to the sensor side surface of the last lens. For example, TD is the distance from the first surface S1 of the first lens 101 to the twenty-second surface S22 of the eleventh lens 111 on the optical axis OA. When the optical system 1000 according to the embodiment satisfies Formula 42, a slim and compact optical system can be provided. Preferably, Formula 42 can satisfy: 0.1 <TD / CA_max<1。

[0293] [Equation 43] 0<|F / L11R2|<1

[0294] In Formula 43, the total effective focal length F of the optical system 1000 and the curvature radius L11R2 of the twenty-second surface of the eleventh lens may be set, and when satisfied, the size of the optical system 1000, such as TTL, may be reduced. Preferably, Formula 43 may satisfy: <F / L10R2<0.5。

[0295] Formula 43 may also include the following Formula 43-1.

[0296] [Formula 43-1]1 <F / F#<6

[0297] F may refer to the F-number. Preferably, Equation 43-1 can satisfy 3 ≤ F / F# < 6.

[0298] [Equation 43-2] 0 < F / |L10R2| < 1

[0299] Equation 43-2 can set the total effective focal length F of the optical system 1000 and the radius of curvature L10R2 of the twentieth surface of the tenth lens. Preferably, Equation 43-2 can satisfy: 0 < F / L10R2 < 0.5.

[0300] [Equation 44] 1 < F / L1R1 < 10

[0301] In Equation 44, the radius of curvature L1R1 of the first surface S1 of the first lens 101 and the total effective focal length F can be set, and when they are satisfied, the size of the optical system 1000 can be reduced, and for example, the size of the TTL can be reduced. Preferably, Equation 44 can satisfy the condition: 1 < F / L1R1 < 5 or 11 < (F / L1R1)*n < 55, where n is the total number of lenses.

[0302] [Equation 45] 0 < |EPD / L11R2| < 2

[0303] In Equation 45, EPD refers to the entrance pupil diameter (mm) of the optical system 1000, and L11R2 refers to the radius of curvature (mm) of the twenty-second surface S22 of the eleventh lens 111. When the optical system 1000 according to the embodiment satisfies Equation 45, the optical system 1000 can control the overall brightness and can have good optical performance in the central part and the peripheral part of the FOV. Preferably, Equation 45 can satisfy the following condition: 0 < |EPD / L11R2| < 0.5.

[0304] Equation 45 may further include Equation 45-1 below.

[0305] [Equation 45-1] 1 < EPD / F# < 3

[0306] [Equation 46] 0.5 < EPD / L1R1 < 8

[0307] Equation 46 represents the relationship between the size of the entrance pupil of the optical system and the radius of curvature of the first surface S1 of the first lens 101, and can control the incident light. Preferably, Equation 46 can satisfy: 0.5 < EPD / L1R1 < 2.

[0308] [Equation 47] -3 < F1 / F3 < 0

[0309] In Formula 47, the focal lengths F1 and F3 of the first lens 101 and the third lens 103 may be set. Therefore, the resolution may be improved by adjusting the refractive power of the incident light of the first lens 101 and the second lens 102, and the TTL may be controlled. Preferably, Formula 47 may satisfy: <F1 / F3<0。

[0310] [Formula 48]1 <F13 / F<5

[0311] In Formula 48, when the composite focal length F13 of the first to third lenses and the total focal length F can be set, the optical system 1000 can improve the resolution by adjusting the refractive power of the incident light, and the optical system 1000 can control TTL. Preferably, Formula 48 can satisfy: 1≤F13 / F<3.

[0312] [Equation 49] 1<|F411 / F13|<10

[0313] In Formula 49, the composite focal length F13 of the first lens to the third lens, that is, the focal length of the first lens group, and the composite focal length F411 of the fourth lens to the eleventh lens, that is, the focal length of the second lens group, can be set. When this is satisfied, the resolving power can be improved by controlling the refractive power of the first lens group and the refractive power of the second lens group, and the optical system can be set in a slim and compact size. In addition, when Formula 49 is satisfied, the optical system 1000 can improve aberration characteristics such as chromatic aberration and distortion aberration. Formula 49 can preferably satisfy: 1<|F411 / F13|<2. Here, it can satisfy: F13>0 and F411<0.

[0314] Formula 49 may satisfy at least one of Formulas 49-1 to 49-10.

[0315] [Formula 49-1]0 <F1 / F<2

[0316] [Formula 49-2]1 <F2 / F<10

[0317] [Formula 49-3]-7 <F3 / F<0

[0318] [Formula 49-4]1 <F4 / F<15

[0319] [Formula 49-5]10 <F5 / F<30

[0320] [Formula 49-6] F6<0

[0321] [Formula 49-7] F7<0

[0322] [Formula 49-8]0 <F8 / F<10

[0323] [Formula 49-9]0 <F9 / F<1

[0324] [Equation 49-10] -20 < F10 / F < 0

[0325] [Equation 49-11] -2 < F11 / F < 0

[0326] [Equation 49-12] 1.1 < F3 / F2

[0327] In Equations 49-1 to 49-12, the focal lengths F1 to F11 of each lens and the total focal length F can be set. When these conditions are met, the resolution can be improved by controlling the refractive power of each lens, and the optical system can be set in a thin and compact size.

[0328] [Equation 50] 2 mm < TTL < 20 mm

[0329] In Equation 50, TTL refers to the distance (mm) from the vertex of the first surface S1 of the first lens 101 to the image surface of the image sensor 300 on the optical axis OA. Preferably, Equation 50 can satisfy: 5 mm < TTL < 15 mm or 55 < TTL * n < 1655, where n is the total number of lenses. Therefore, a thin and compact optical system can be set.

[0330] [Equation 51] 2 mm < ImgH

[0331] Equation 51 sets the diagonal size (2 * ImgH) of the image sensor 300 to be more than 4 mm, thereby providing an optical system with high resolution. Equation 51 preferably satisfies: 4 mm ≤ ImgH < 12 mm or 40 ≤ ImgH * n < 120, where n is the total number of lenses.

[0332] [Equation 52] BFL < 2.5 mm

[0333] Equation 52 can ensure the installation space for the filter 500 by making BFL less than 2.5 mm, can improve the assembly of components, and can improve the coupling reliability through the distance between the image sensor 300 and the last lens. Equation 52 can preferably satisfy: 0 < BFL < 1.2 mm.

[0334] [Equation 53] 2 mm < F < 20 mm

[0335] In Equation 53, the total focal length F can be set according to the optical system, and can preferably satisfy: 5 mm < F < 15 mm or 55 < F * n < 167, where n is the total number of lenses.

[0336] [Equation 54] FOV < 120 degrees

[0337] In equation 54, FOV refers to the field of view of the optical system 1000, and an optical system of less than 120 degrees may be provided. The FOV may be greater than 70 degrees, for example, in the range of 70 to 110 degrees.

[0338] [Equation 55] 0.5 <TTL / CA_max<2

[0339] In Formula 55, a slim and compact optical system can be set by setting the maximum effective diameters CA_max and TTL in the object side and the sensor side of the plurality of lenses. Preferably, Formula 55 can satisfy: 0.5 <TTL / CA_max<1。

[0340] [Equation 56] 0.5 <TTL / ImgH<3

[0341] Formula 56 may set the TTL of the optical system and the diagonal length (ImgH) from the optical axis of the image sensor 300. When the optical system 1000 according to the embodiment satisfies Formula 56, the optical system 1000 may have a smaller TTL by ensuring a BFL for applying a relatively large image sensor 300 (e.g., a large image sensor 300 of about 1 inch), and may have a high-definition implementation and a slim structure. Preferably, Formula 56 may satisfy: 1 <TTL / ImgH<2。

[0342] [Equation 57] 0.01 <BFL / ImgH<0.5

[0343] Formula 57 may set the distance between the optical axes of the image sensor 300 and the last lens and the length in the diagonal direction from the optical axis of the image sensor 300. When the optical system 1000 according to the embodiment satisfies Formula 57, the optical system 1000 may ensure a BFL for applying a relatively large image sensor 300 (e.g., a large image sensor 300 of about 1 inch) and minimize the distance between the last lens and the image sensor 300, thereby having good optical characteristics in the central portion and the peripheral portion of the FOV. Preferably, Formula 57 may satisfy: 0.1≤BFL / ImgH≤0.3.

[0344] [Formula 58]5 <TTL / BFL<15

[0345] Formula 58 may set the total optical axis length TTL of the optical system and the optical axis distance BFL (unit, mm) between the image sensor 300 and the last lens. When the optical system 1000 according to the embodiment satisfies Formula 58, the optical system 1000 ensures BFL and may be set to be slim and compact. Formula 58 may satisfy: 6 <TTL / BFL<10。

[0346] [Equation 59] 0.5 <F / TTL<1.5

[0347] Equation 59 can set the total focal length F and the total optical axis length TTL of the optical system 1000. Therefore, a thin and compact optical system can be set. Equation 59 can preferably satisfy: 0.5 <F / TTL<1。

[0348] [Formula 59-1]0 <F# / TTL<0.5

[0349] Equation 59-1 can set the F number (F#) and the total optical axis length TTL of the optical system 1000. Therefore, a slim and compact optical system can be set.

[0350] [Formula 60]3 <F / BFL<10

[0351] Formula 60 can set the total focal length F of the optical system 1000 and the optical axis distance BFL between the image sensor 300 and the last lens (unit: mm). When the optical system 1000 according to the embodiment satisfies Formula 64, the optical system 1000 can have a set FOV, can have an appropriate focal length, and can set a thin and compact optical system. In addition, the optical system 1000 can minimize the distance between the last lens and the image sensor 300, so that it can have good optical characteristics in the peripheral part of the FOV. Preferably, Formula 60 can satisfy: 5 <F / BFL<9。

[0352] [Equation 61] 0.5 <F / ImgH<3

[0353] Formula 61 can set the total focal length F (mm) of the optical system 1000 and the diagonal length (ImgH) from the optical axis in the image sensor 300. The optical system 1000 can have improved aberration characteristics by applying a relatively large image sensor 300, for example, a large image sensor 300 of about 1 inch. Preferably, Formula 61 can satisfy: 1≤F / ImgH<2.

[0354] [Formula 62]1 <F / EPD<5

[0355] Formula 62 can set the total focal length F (mm) and the entrance pupil diameter of the optical system 1000. Therefore, the overall brightness of the optical system can be controlled. Preferably, Formula 62 can satisfy: 1.5≤F / EPD<3.

[0356] [Formula 63]0 <BFL / TD<0.3

[0357] In Equation 63, the back focal length BFL between the image sensor 300 and the last lens and the total distance TD of the lens are set, and when these are satisfied, the optical system 1000 can be set as a thin and compact optical system. Preferably, Equation 63 can satisfy: 0 < BFL / TD ≤ 0.2. When BFL / TD exceeds 0.3, since BFL is designed to be larger than TD, the size of the entire optical system increases, making it difficult to miniaturize the optical system. Also, since the distance between the eleventh lens and the image sensor increases, the amount of unnecessary light passing through the eleventh lens and the image sensor may increase, and thus there are problems such as a decrease in resolution like the degradation of aberration characteristics.

[0358] [Equation 64] 0 < EPD / ImgH / FOV < 0.2

[0359] In Equation 64, the relationship between the size of EPD, the length ImgH which is half of the maximum diagonal length of the image sensor, and FOV can be set. Thus, the overall size and brightness of the optical system can be controlled. Equation 64 can preferably satisfy: 0 < EPD / ImgH / FOV < 0.1.

[0360] [Equation 65] 10 < FOV / F# < 70

[0361] Equation 65 can set the relationship between the FOV and the F-number of the optical system. Equation 65 can preferably satisfy: 30 < FOV / F# < 60.

[0362] [Equation 66] 0 < n1 / n2 < 1.5

[0363] When the refractive indices n1 and n2 of the first lens 101 and the second lens 102 at the d-line of Equation 66 satisfy the above range, the optical system can improve the resolution of the incident light. Preferably, it can satisfy: 0.5 < n1 / n2 < 1.2.

[0364] [Equation 67] 0 < n3 / n4 < 1.5

[0365] When the refractive indices n3 and n4 of the first lens 101 and the third lens 103 in Equation 67 satisfy the above range, the optical system can improve the resolution of the incident light of the second lens group LG2. Preferably, Equation 67 can satisfy: 1 < n3 / n4 < 1.2.

[0366] [Equation 68] 2 ≤ (CA_L11S2 / CA_L3S2) / (CA_L1S1 / CA_L3S2) < 5

[0367] Equation 68 sets the minimum effective diameter (CA_L3S2) and the maximum effective diameter (CA_L11S2) of the lens, as well as the effective diameters on both sides of the first lens group (CA_L1S1, CA_L3S2) to effectively guide incident light and control chromatic aberration.

[0368] [Equation 69] 13 < (TTL / ImgH) * n < 23

[0369] In Equation 69, the relationship between TTL and ImgH under the total number of lenses (n) can be set. When Equation 69 is satisfied, the length and the total length of the image sensor can be controlled.

[0370] [Formula 70]21<(TD_LG2 / TD_LG1)*n<31

[0371] In Formula 70, the optical axis distance of the first lens group LG1 and the optical axis distance of the second lens group LG2 may be set. Here, TD_LG1 is the optical axis distance from the first surface S1 to the sixth surface S6, and TD_LG2 is the optical axis distance from the seventh surface S7 to the twenty-second surface S22. When Formula 70 satisfies the above conditions, the chromatic aberration of the optical system may be improved.

[0372] [Equation 71] 5 < (CT_Max + CG_Max) * n < 12

[0373] In Formula 71, the maximum center thickness CT_Max and the minimum center distance CG_Max for the total number (n) of lenses can be set, and when these are satisfied, the aberration characteristics can be improved and the size of the optical system can be reduced.

[0374] [Equation 72] 40 < (FOV * TTL) / n < 85

[0375] The relationship between FOV and TTL and the number of lenses (n) can be set in Equation 72. Therefore, in an optical system having 10 or more lenses, for example, 11 lenses, a slim size can be set according to FOV.

[0376] [Equation 73] (TTL*n)>FOV

[0377] When Formula 73 is satisfied, a slim optical system can be provided.

[0378] [Formula 74](v11*n11)<(v1*n1)<(v3*n3)

[0379] In Formula 74, the refractive indices n1, n3, and n11 of the first lens, the third lens, and the eleventh lens and the Abbe numbers v1, v3, and v11 of the first lens, the third lens, and the eleventh lens may be set, and when they are satisfied, the resolution may be controlled.

[0380] [Formula 75]

[0381]

[0382] In Formula 75, Z is the sag and may refer to the distance from any position on the aspherical surface to the vertex of the aspherical surface in the direction of the optical axis. Y may refer to the distance from any position on the aspherical surface to the optical axis in a direction perpendicular to the optical axis. c may refer to the curvature of the lens, and K may refer to the Koenig constant. In addition, A, B, C, D, E, and F may refer to aspherical constants.

[0383] The optical system 1000 according to the embodiment may satisfy at least one or two or more of equations 1 to 74. In this case, the optical system 1000 may have improved optical characteristics. Specifically, when the optical system 1000 satisfies at least one or two or more of equations 1 to 74, the optical system 1000 has improved resolution, and aberration characteristics and distortion characteristics may be improved. In addition, the optical system 1000 may ensure a BFL for applying a large-size image sensor 300, and may minimize the distance between the last lens and the image sensor 300, and thus have good optical performance in the central and peripheral parts of the FOV. In addition, when the optical system 1000 satisfies at least one of equations 1 to 74, it may include a relatively large image sensor 300, have a relatively small TTL value, and may provide a thinner and more compact optical system and a camera module having the optical system.

[0384] In the optical system 1000 according to the embodiment, the distance between the plurality of lenses 100 may have a value set according to a region.

[0385] Figure 3 Is based on having Figure 1 An example of lens data of the first embodiment of the optical system, Fig.11 Is based on having Fig.10 An example of lens data of a second embodiment of the optical system, and Fig.19 yes Fig.18 An example of lens data of an optical system, and Fig. 27 It is shown Fig.26 A table of lens data for an optical system.

[0386] like Figure 3 , Fig.11 , Fig.19 and Fig. 27As shown in , the optical system according to the first to fourth embodiments represents the radius of curvature on the optical axis OA of the first lens 101 to the eleventh lens 111, the center thickness CT of each lens and the center distance CG between the lenses, the refractive index at the d line (588nm), the Abbe number and the effective radius (semi-aperture), and the focal length. In the absolute value of the focal length, the focal length of the fifth lens 105 is the largest, while the focal length of the eleventh lens 111 is the smallest and may be smaller than the focal length of the first lens 101. In the absolute value of the radius of curvature, the seventeenth surface S17 and the twenty-second surface S22 are 30 mm or more, the twenty-second surface S22 is the largest in the first to third embodiments, and the seventeenth surface S17 may be the largest in the fourth embodiment.

[0387] like Figure 4 , Fig.12 , Fig. 20 and Fig.28 As shown in , at least one or all of the lens surfaces of the plurality of lenses in the first to fourth embodiments may include an aspheric surface having a 30th order aspheric coefficient. For example, the first to eleventh lenses 101 to 111 may include lens surfaces having a 30th order aspheric coefficient from the first surface S1 to the twenty-second surface S22. As described above, an aspheric surface having a 30th order aspheric coefficient (a value other than "0") can particularly significantly change the aspheric shape of the peripheral portion, thereby being able to well correct the optical performance of the peripheral portion of the FOV.

[0388] Reference Figure 5 , Fig.13 , Fig.21 and Fig.29, the first thickness T1 to the eleventh thickness T11 of the first lens 101 to the eleventh lens 111 may be expressed as a distance of 0.1 mm or more from the center to the edge of each lens in the direction Y, and the distance between adjacent lenses may be expressed as a distance of 0.1 mm or more in the direction from the center to the edge relative to the first distance G1 between the first lens and the second lens, the second distance G2 between the second lens and the third lens, and the third distance G3 between the third lens and the fourth lens, the fourth distance G4 between the fourth lens and the fifth lens, the fifth distance G5 between the fifth lens and the sixth lens, the sixth distance G6 between the sixth lens and the seventh lens, the seventh distance G7 between the seventh lens and the eighth lens, the eighth distance G8 between the eighth lens and the ninth lens, the ninth distance G9 between the ninth lens and the tenth lens, and the tenth distance G10 between the tenth lens and the eleventh lens. The center distance of the tenth distance G10 may be the largest among the center distances, and the center thickness of the first lens 101 may be the largest among the center thicknesses. By using the first to eleventh thicknesses T1 to T11 and the first to tenth distances G1 to G10 , the optical system may be provided in a slim and compact size.

[0389] like Figure 6 , Fig.14 , Fig. 22 and Fig.30 As shown in FIG. 1 , sag values ​​are shown for the object-side surface L10S1 and the sensor-side surface L10S2 of the tenth lens 110 and the object-side surface L11S1 and the sensor-side surface L11S2 of the eleventh lens 111 according to the first to fourth embodiments of the present invention. The sag value can be expressed as a height (sag value) from a straight line in the Y-axis direction perpendicular to the center of each lens surface to the lens surface at intervals of 0.1 or more. Fig. 9 and Fig.17 It is shown Figure 6 and Fig.14 A graph of the sag values ​​of the object side surface and the sensor side surface of the ninth lens and the object side surface and the sensor side surface of the tenth lens disclosed in FIG. Fig. 9 , Fig.17 , Fig.25 and Fig.33As shown in , it can be seen that the object side surface L10S1 and the sensor side surface L10S2 of the tenth lens 110 protrude in the object side direction based on the straight line perpendicular to the optical axis, and it can be seen that the position of the critical point appears at a position 4 mm or more from the optical axis. The object side surface L11S1 and the sensor side surface L11S2 of the eleventh lens 111 protrude in the object side direction based on the straight line orthogonal to the optical axis, and it can be seen that the position of the critical point of the object side surface L11S1 appears at a position 4 mm or more from the optical axis, and it can be seen that the sensor side surface L11S2 is set to have no critical point. In addition, it can be seen that each of the sensor side surface L10S2 or / and the object side surface L10S1 of the tenth lens is closer to the object side than the straight line orthogonal to the center of each lens surface, and the critical point can be located at a position adjacent to the edge area. It can be seen that each of the object side surfaces L11S1 of the eleventh lens is closer to the object side than the straight line orthogonal to the center of each object side surface L11S1, and the critical point is located at a position adjacent to the edge area.

[0390] Therefore, the optical system 1000 according to the first to fourth embodiments can have good optical performance in the central part and the peripheral part of the FOV, and Figure 7 , Figure 8 , Fig.15 , Fig.16 , Fig.23 , Fig.24 as well as Fig.31 and Fig.32 Can have excellent optical properties.

[0391] exist Figure 7 , Fig.15 , Fig.23 and Fig.31 In the aberration graph of , spherical aberration, astigmatism field curve and distortion are measured from left to right. Figure 8 , Fig.16 , Fig.24 and Fig.32 In , the X-axis may refer to focal length (mm) and distortion (%), and the Y-axis may refer to the height of the image. In addition, the graph of spherical aberration is a graph of light in the wavelength bands of about 470nm, about 510nm, about 555nm, about 610nm, and about 650nm, and the graphs of astigmatism and distortion are graphs of light in the wavelength band of 555nm. Figure 8 , Fig.16 , Fig.24 and Fig.32 In the aberration curve graph of , it can be interpreted that the aberration correction function becomes better as each curve approaches the Y axis. Figure 8 , Fig.16 , Fig.24 and Fig.32, it can be seen that in the optical system 1000 according to the embodiment, the measured value is adjacent to the Y axis in almost all areas. That is, the optical system 1000 according to the first to fourth embodiments can have improved resolution and good optical performance not only in the central part of the FOV but also in the peripheral part of the FOV. As confirmed in the above embodiment, the lens system according to the first to fourth embodiments of the present invention has a lens configuration of 10 or more, for example, 11 lenses, and is compact and lightweight, and at the same time spherical aberration, astigmatism, distortion aberration, chromatic aberration and coma are all good. Because it can be calibrated and implemented with high resolution, it can be used by being embedded in the optical device of the camera device.

[0392] Table 1 relates to the terms of the above-mentioned formulas in the optical system 1000 according to the first embodiment to the fourth embodiment, and relates to the total track length (TTL) of the optical system 1000, the back focal length (BFL) and the F value as the total effective focal length, ImgH, the focal length of each of the first lens to the eleventh lens (F1, F2, F3, F4, F5, F6, F7, F8, F9 and F10), the edge thickness of each lens and the edge distance between adjacent lenses, the composite focal length, the incident pupil diameter (EPD), FOV, etc.

[0393] [Table 1]

[0394]

[0395]

[0396] Table 2 shows Figure 1 The result values ​​of the above equations 1 to 40 in the optical system 1000. Referring to Table 2, it can be seen that the optical system 1000 satisfies at least one, two or more, or three or more of equations 1 to 40. Specifically, it can be seen that the optical system 1000 according to the embodiment satisfies all of the above equations 1 to 40. Therefore, the optical system 1000 can improve the optical performance and optical characteristics at the central part and the peripheral part of the FOV.

[0397] [Table 2]

[0398]

[0399]

[0400]

[0401] Table 3 shows Figure 1The result values ​​of the above equations 41 to 74 in the optical system 1000. Referring to Table 3, the optical system 1000 may satisfy at least one or two or more of equations 1 to 40 and at least one, two or more, or three or more of equations 41 to 74. Specifically, it can be seen that the optical system 1000 according to the embodiment satisfies all of the above equations 1 to 74. Therefore, the optical system 1000 can improve the optical performance and optical characteristics at the central part and the peripheral part of the FOV.

[0402] [Table 3]

[0403]

[0404]

[0405] Fig.34 2 is a diagram showing that a camera module according to an embodiment is applied to a mobile terminal. Fig.34 , the mobile terminal 1 may include a camera module 10 provided on the rear side. The camera module 10 may include an image capturing function. In addition, the camera module 10 may include at least one of an auto focus function, a zoom function, and an OIS function.

[0406] The camera module 10 can process still images or video frames obtained by the image sensor 300 in a shooting mode or a video call mode. The processed image frames can be displayed on a display unit (not shown) of the mobile terminal 1 and can be stored in a memory (not shown). In addition, although not shown in the drawings, the camera module can also be provided on the front side of the mobile terminal 1.

[0407] For example, the camera module 10 may include a first camera module 10A and a second camera module 10B. At this time, at least one of the first camera module 10A and the second camera module 10B may include the above-mentioned optical system 1000. Therefore, the camera module 10 may have a slim structure and may have improved distortion and aberration characteristics. In addition, the camera module 10 may have good optical performance even in the central part and the peripheral part of the FOV.

[0408] In addition, the mobile terminal 1 may further include an automatic focusing device 31. The automatic focusing device 31 may include an automatic focusing function using a laser. The automatic focusing device 31 may be mainly used in situations where the automatic focusing function of the image using the camera module 10 is degraded (for example, in a vicinity of 10m or less or in a dark environment). The automatic focusing device 31 may include a light emitting unit and a light receiving unit, the light emitting unit including a vertical cavity surface emitting laser (VCSEL) semiconductor device, and the light receiving unit, for example, a photodiode that converts light energy into electrical energy. In addition, the mobile terminal 1 may further include a flash module 33. The flash module 33 may include a light emitting element that emits light therein. The flash module 33 may be operated by the camera operation of the mobile terminal or the control of the user.

[0409] The features, structures, effects, etc. described in the above-mentioned embodiments are included in at least one embodiment of the present invention, and are not necessarily limited to one embodiment. In addition, the features, structures, and effects shown in each embodiment can be combined or modified by a technician in the field to which each embodiment belongs relative to other embodiments. Therefore, the contents related to these combinations and variations should be understood to be included in the scope of the present invention. Although described based on the embodiments, this is only an example, the present invention is not limited, and it will be obvious to those skilled in the art that various modifications and applications not shown above are feasible without departing from the basic features of the embodiments. For example, each component specifically shown in the present embodiment can be modified and implemented. And the differences related to these modifications and applications should be interpreted as being included in the scope of the present invention defined in the appended claims.

Claims

1. An optical system, comprising: first to eleventh lenses arranged along the optical axis from the object side toward the sensor side, wherein the first lens has positive (+) refractive power on the optical axis and has a convex object-side surface, The refractive index n3 of the third lens and the refractive index n4 of the fourth lens satisfy the following formula: <n3 / n4<1.5, The number of the meniscus-shaped lenses of the first lens to the eleventh lens convex toward the object side on the optical axis OA is four or more, wherein the sensor side surface of the eleventh lens is arranged to have no critical point from the optical axis to the end of the effective area, and wherein the maximum distance from the optical axis to the following point is a first distance: at this point the height between a straight line orthogonal to the optical axis and the sensor side surface is less than 0.1, and the first distance is set at a position of 20% or more of the effective radius of the sensor side surface of the eleventh lens.

2. The optical system according to claim 1, in, A difference between a maximum slope angle L10S2_max slope of a tangent line passing through the sensor-side surface of the tenth lens and a maximum slope angle L11S2_max slope of a tangent line passing through the sensor-side surface of the eleventh lens satisfies the following formula: Formula: 10<|L11S2_max slope|-|L10S2_max slope|<30.

3. The optical system according to claim 2, in, The effective radius of the sensor-side surface of the eleventh lens is less than 5 mm.

4. The optical system according to claim 1, in, A difference between a maximum slope angle L10S2_max slope of a tangent line passing through the sensor-side surface of the tenth lens and a maximum slope angle L11S2_max slope of a tangent line passing through the sensor-side surface of the eleventh lens satisfies the following formula: Formula: -5<|L11S2_max slope|-|L10S2_max slope|<5.

5. The optical system according to claim 4, in, The effective radius of the sensor-side surface of the eleventh lens is 6 mm or more.

6. The optical system according to any one of claims 1 to 5, in, The effective diameter CA_L11S2 of the eleventh lens and the center distance CG10 between the tenth lens and the eleventh lens satisfy the following formula: Formula: 3 <CA_L11S2 / CG10<20。 7. An optical system according to any one of claims 1 to 5, in, The effective diameter CA_L10S2 of the tenth lens and the center distance CG10 between the tenth lens and the eleventh lens satisfy the following formula: Formula: 5 <CA_L11S2 / CG10<15。 8. An optical system according to any one of claims 1 to 5, in, The maximum effective diameters CA_Max of the object-side surfaces and the sensor-side surfaces of the first to eleventh lenses and the distance ImgH from the center of the image sensor to the diagonal end of the image sensor satisfy the following formula: Formula: 0.5≤CA_Max / (2*ImgH)<1.

9. The optical system according to any one of claims 1 to 5, in, The refractive indices n1, n2, and n3 of the first to third lenses satisfy the following formula: Formula: 1.50 <n1<1.6, 1.50<n2<1.6， 17 <n3*n, (n is the total number of lenses).

10. The optical system according to any one of claims 1 to 5, in, The first lens, the second lens, the third lens, and the seventh lens have a meniscus shape that is convex toward the object side on the optical axis.

11. The optical system according to claim 10, in, The tenth lens and the eleventh lens have a meniscus shape that is convex toward the sensor side on the optical axis.

12. An optical system according to any one of claims 1 to 5, in, The sum ΣCA of the effective diameters of the object-side surface and the sensor-side surface of the first to eleventh lenses satisfies the following equation: Formula: ΣCA*n>1100, Here, n is the total number of lenses.

13. An optical system comprising: a first lens group having a plurality of lenses arranged along the optical axis on the object side; a second lens group having a plurality of lenses arranged along the optical axis on the sensor side of the first lens group; as well as an aperture stop disposed around a lens of the first lens group, The number of lenses in the second lens group is more than twice the number of lenses in the first lens group. wherein the lenses of the first lens group have a meniscus shape convex toward the object side on the optical axis, wherein the nth lens closest to the image sensor and the n-1th lens on the object side of the nth lens in the second lens group have a meniscus shape convex toward the sensor side on the optical axis, wherein a sensor-side surface of the lenses of the first lens group closest to the lenses of the second lens group has a concave shape on the optical axis, wherein an object-side surface of the lenses of the second lens group closest to the lenses of the first lens group has a concave shape on the optical axis, wherein effective diameters of the object side surfaces and sensor side surfaces of the first to third lenses gradually decrease from the object side toward the sensor side, and The effective diameters of the lenses in the second lens group gradually increase from the effective diameter of the object-side surface of the lens closest to the first lens group to the effective diameter of the sensor-side surface of the last lens closest to the image sensor.

14. The optical system according to claim 13, in, The effective diameters of the lenses of the first lens group gradually increase from the effective diameter of the sensor-side surface of the lenses of the second lens group closest to the object-side surface of the first lenses.

15. The optical system according to claim 13, in, A distance from the image sensor to a center of a sensor-side surface of the last lens is equal to a distance from a maximum sag Sag value of the sensor-side surface of the last lens to the image sensor.

16. An optical system according to any one of claims 13 to 15, in, The minimum effective diameter CA_Min and the maximum effective diameter CA_Max of the lenses of the first lens group and the second lens group satisfy the following formula: 50<(CA_Max-CA_Min)*n<120, Here, n is the total number of lenses.

17. An optical system according to any one of claims 13 to 15, in, The difference between the optical axis distance TD_LG1 of the first lens group and the optical axis distance TD_LG2 of the second lens group satisfies the following formula: Formula: 21<(TD_LG2 / TD_LG2)*n<31, (n is the total number of lenses).

18. An optical system according to any one of claims 13 to 15, in, The maximum center thickness CT_Max of the lenses in the first lens group and the second lens group and the maximum center distance CG_Max between adjacent lenses satisfy the following formula: 5<(CT_Max+CG_Max)*n<12, (n is the total number of lenses).

19. The optical system according to claim 18, in, The lens with the largest center thickness is the first lens, Among them, the two lenses having the largest center distance are the nth lens and the n-1th lens.

20. An optical system according to any one of claims 13 to 15, in, The first lens group includes first to third lenses, Wherein, the second lens group includes the fourth lens to the eleventh lens, Among them, the composite focal length from the first lens to the third lens is F13, Wherein, the composite focal length from the fourth lens to the eleventh lens is F411, and Among them, the following formula: 3<|F411 / F13|<15.

21. A camera module, comprising: Image sensor; and a filter disposed between the image sensor and the last lens, wherein the optical system comprises the optical system according to claim 1 or 13, Among them, the following formula is satisfied: Formula: 0.5 <F / TTL<1.5, 0.5 <TTL / ImgH<3, 40≤ImgH*n<120, (F is the average of the total focal lengths in two directions orthogonal to the optical axis of the optical system, and TTL (total track length) is the distance from the center of the object side surface of the first lens to the image surface of the image sensor on the optical axis, ImgH is 1 / 2 of the maximum diagonal length of the image sensor, and n is the total number of lenses).

Images