Optical system and image pickup device module including the same

Abstract

An optical system disclosed in one embodiment of the present invention includes first to tenth lenses arranged along an optical axis in a direction from an object side to a sensor side, in which the first lens has a positive (+) refractive power at the optical axis and includes the object side having a convex shape, and the tenth lens has a positive (+) refractive power at the optical axis. The refractive index (n3) of the third lens and the refractive index (n4) of the fourth lens satisfy a mathematical formula 1lt; n3 / n4lt; 1.5, the number of meniscus lenses protruding toward the object side on the optical axis (OA) among the first to tenth lenses is 4 or more, the sensor side of the ninth lens has a critical point, the object side of the tenth lens has a critical point, and the sensor side of the tenth lens has a critical point. A critical point on the object side of the tenth lens may be disposed closer to the optical axis than a critical point on the sensor side of the ninth lens.

Description

Technical Field

[0001] Embodiments relate to an optical system having improved optical performance and a camera module including the same. 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 laptop computers, 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 jitter caused by an unstable fixture or camera movement caused by user movement.

[0004] The most important element used by the 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 negative (-) refractive power.

[0005] However, when multiple lenses are included, there is a problem that 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 the image sensor is also increasing. However, when the size of the image sensor increases, the TTL (total track length) of the optical system including a plurality of lenses also increases, thereby increasing the thickness of the mobile terminal and the camera device including the optical system. Therefore, a new optical system capable of solving the above problems is required. Summary of the invention

[0007] [Technical issues]

[0008] Embodiments of the present invention provide an optical system with improved optical properties. Embodiments provide an optical system having excellent optical performance in the central and peripheral portions of the field of view. Embodiments provide an optical system capable of having a thin structure.

[0009] [Technical Solution]

[0010] The optical system according to an embodiment of the present invention includes a first lens to a tenth lens arranged along the optical axis in the direction from the object side to the sensor side, wherein the first lens has a positive (+) refractive power and the object-side surface has a convex shape, 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 protrude toward the object side on the optical axis among the first lens to the tenth lens is four or more, the sensor-side surface of the ninth lens has a critical point, the object-side surface of the tenth lens has a critical point, and the critical point of the object-side surface of the tenth lens can be set closer to the optical axis than the critical point of the sensor-side surface of the ninth lens.

[0011] According to an embodiment of the present invention, the sensor-side surface of the ninth lens has a critical point, the sensor-side surface of the tenth lens has a critical point, and the critical point of the object-side surface of the tenth lens can be set closer to the optical axis than the critical point of the sensor-side surface of the ninth lens and the critical point of the sensor-side surface of the tenth lens.

[0012] According to an embodiment of the present invention, the refractive index of the first lens satisfies the following formula: 1.50 < n1 < 1.6, the refractive index of the second lens satisfies the following formula: 1.50 < n2 < 1.6, and the refractive index n3 of the third lens satisfies the following formula: 16 < n3 * n, where n may be the number of lenses.

[0013] According to an embodiment of the present invention, the first lens, the second lens, and the third lens may have a meniscus shape that protrudes toward the object side on the optical axis. The ninth lens and the tenth lens may have a meniscus shape that protrudes toward the object side on the optical axis.

[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 tenth lens satisfies the following formula: 0.1 < CA_max / (2 * ImgH) < 1.5, and ImgH may be 1 / 2 of the maximum diagonal length of the image sensor.

[0015] According to an embodiment of the present invention, the sensor-side surface of the tenth lens has the maximum effective diameter CA_max of the object-side surface and the sensor-side surface of the first lens to the tenth lens, and satisfies the following formula: 0.1 < TTL / CA_max < 2, and TTL may be the optical axis distance from the object-side surface of the first lens to the image surface of the image sensor.

[0016] According to an embodiment of the present invention, the sum ∑CA of the effective diameters of the object-side surface and the sensor-side surface of the first lens to the tenth lens satisfies the following formula: ∑CA*n > 900, and n may be the total number of lenses.

[0017] According to an embodiment of the present invention, the minimum effective diameter CA_Min and the maximum effective diameter CA_Max among the effective diameters of the object-side surface and the sensor-side surface of the first lens to the tenth lens satisfy the following formula: (CA_Max - CA_Min)*n > 90, and n may be the total number of lenses.

[0018] According to an embodiment of the present invention, the effective diameter of the object-side surface of the first lens is CA_L1S1, the effective diameter of the object-side surface of the third lens is CA_L3S1, the effective diameter of the sensor-side surface of the fourth lens is CA_L4S2, and the effective diameter of the sensor-side surface of the tenth lens is CA_L10S2, and the following formula may be satisfied: 1 < CA_L1S1 / CA_L3S1 < 1.5 and 1 < CA_L10S2 / CA_L4S2 < 5.

[0019] The optical system according to an embodiment of the present invention includes: a first lens group having a first lens to a third lens aligned along the optical axis on the object side; a second lens group having W lenses (where W is an integer of 5 or more) aligned along the optical axis on the sensor side of the third lens; and an aperture stop disposed around the sensor-side surface of any one of the first lens to the third lens, wherein the sensor-side surface of the third lens faces the object-side surface of the fourth lens, the sensor-side surface of the third lens has a concave shape on the optical axis, the object-side surface of the fourth lens has a convex shape on the optical axis, the first lens to the third lens have a meniscus shape protruding toward the object side 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 object-side surface and the sensor-side surface of each of the lenses in the second lens group may gradually increase from the object side toward the sensor side.

[0020] According to an embodiment of the present invention, the refractive index of the third lens is n3, the refractive index of the fifth lens, which is the fifth lens starting from the object side, is n5, and the refractive index of the seventh lens, which is the seventh lens starting from the object side, is n7, and the following formula is satisfied: 16 < (n3*n), 16 < n5*n, and 16 < n7*n, where n may be the total number of lenses.

[0021] According to an embodiment of the present invention, the center thickness of the first lens is CT1, the center thickness of the last lens is CT10, and the following formula may be satisfied: 10≤(CT1 / CT10)*n<30, where n is the total number of lenses.

[0022] According to an embodiment of the present invention, the center thickness of the (n-1)th lens is CT9, the center thickness of the last lens is CT10, and the following formula can be satisfied: 10<(CT9 / CT10)*n<30.

[0023] According to an embodiment of the present invention, the second lens group includes fourth to tenth lenses, the composite focal length from the first to third lenses is F13, the composite focal length from the fourth to tenth lenses is F410, and satisfies the following formula: 3<|F48 / F13|<15.

[0024] According to an embodiment of the present invention, the effective radius of the object side surface of the first lens is CA_L1S1, the effective radius of the object side surface of the third lens is CA_L3S1, and satisfies the following formula: 1≤(CA_L1S1 / CA_L3S1)*n≤1.5, where n can be the total number of lenses.

[0025] According to an embodiment of the present invention, the second lens group includes fourth to tenth lenses, the effective radius of the sensor side surface of the fourth lens is CA_L4S2, the effective radius of the sensor side surface of the tenth lens is CA_L10S1, and satisfies the following formula: 30<(CA_L10S2 / CA_L4S2)*n<50, where n can be the total number of lenses.

[0026] According to an embodiment of the present invention, the center thickness of the ninth lens is CT9, the optical axis distance between the ninth lens and the tenth lens is CG9, and the following formula may be satisfied: 1<(CT9 / CG9)*n<5.

[0027] According to an embodiment of the present invention, the maximum center thickness of the lens is CT_Max, the maximum optical axis distance between the lenses is CG_Max, and the following formulas can be satisfied: 1<(CT_Max / CG_Max)*n<10, CT_Max*n>6 and CG_Max*n>15, where n can be the number of lenses.

[0028] According to an embodiment of the present invention, the sum of the center thicknesses of the lenses is ΣCT, the sum of the optical axis distances between two adjacent lenses is ΣCG, and the following formula can be satisfied: 10<(ΣCT / ΣCG)*n<18, where n can be the total number of lenses.

[0029] 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 can satisfy the following formula: 0.5 < F / TTL < 1.5, 0.5 < TTL / ImgH < 3, and 40 ≤ ImgH*n ≤ 100 (where F is the average value of the total focal length, and TTL (total track length) is the optical axis distance from the center of the object side surface of the first lens to the image surface of the image sensor, ImgH is 1 / 2 of the maximum diagonal length of the image sensor, and n is the number of lenses).

[0030] [Advantageous Effects]

[0031] The optical system and the imaging device module according to the embodiment can have improved optical properties. Specifically, according to the surface shape, refractive power, thickness of the plurality of lenses, and the distance between adjacent lenses among the plurality of lenses, the optical system can have improved aberration characteristics and resolution.

[0032] The optical system and the imaging device module according to the embodiment can have improved distortion characteristics and aberration characteristics, and can 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 can have improved optical characteristics and a small total track length (TTL), so that the optical system and the imaging device module including the optical system can be provided in a thin and compact structure. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] Figure 1 is a configuration diagram of an optical system and an imaging device module according to a first embodiment of the present invention.

[0034] Figure 2 is a diagram showing Figure 1 the relationship between the image sensor, the n-th lens, and the (n - 1)-th lens of the optical system.

[0035] Figure 3 is a diagram showing Figure 1 the lens data of the optical system.

[0036] Figure 4 is an example of the aspherical surface coefficients of the lens according to the first embodiment of the present invention.

[0037] Figure 5 is a table showing the thickness of the lens and the distance between the lenses in the optical system according to the first embodiment of the present invention in a direction orthogonal to the optical axis.

[0038] Figure 6 is a diagram showing Figure 1A table of Sag values ​​of the object-side surfaces and sensor-side surfaces of the seventh lens to the tenth lens in the optical system of FIG.

[0039] Figure 7 yes Figure 1 A graph of the diffraction MTF of an optical system.

[0040] Figure 8 It is shown Figure 1 A graph showing the aberration characteristics of an optical system.

[0041] Fig. 9 It is shown Figure 1 Graphs of Sag values ​​of the object-side surface and the sensor-side surface of the ninth lens and the tenth lens of the optical system.

[0042] 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.

[0043] Fig.11 It is shown Fig.10 A table of lens data for an optical system.

[0044] Fig.12 yes Fig.10 Examples of aspherical surface coefficients of lenses of an optical system.

[0045] 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 distance between lenses.

[0046] Fig.14 It is shown Fig.10 A table of Sag values ​​of the object-side surfaces and sensor-side surfaces of the seventh lens to the tenth lens in the optical system of FIG.

[0047] Fig.15 yes Fig.10 A graph of the diffraction MTF of an optical system.

[0048] Fig.16 It is shown Fig.10 A graph showing the aberration characteristics of an optical system.

[0049] Fig.17 It is shown Fig.10 Graphs of Sag values ​​of the object-side surface and the sensor-side surface of the ninth lens and the tenth lens in the optical system.

[0050] Fig.18 is a diagram showing that a camera module according to an embodiment is applied to a mobile terminal. DETAILED DESCRIPTION

[0051] 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 of the components can be selectively combined and replaced for use. In addition, unless explicitly 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 meaning of the relevant technology.

[0052] 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 the component from other components, and may not be determined by the term by 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 on "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.

[0053] 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 mean that the lens surface on the optical axis has a convex shape, and the concave surface of the lens may mean that the lens surface on the optical axis has a concave shape. The radius of curvature, the center thickness, and the distance between the lenses described in the table of lens data may mean the values ​​on the optical axis, and the unit is mm. The vertical direction may mean the direction perpendicular to the optical axis, and the end of the lens or lens surface may mean the end or edge of the effective area of ​​the lens through which the incident light passes. Depending on the measurement method, 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 will be described with the optical axis, and the paraxial area may also be included.

[0054] Figure 1 and Fig.10 1 and 2 are diagrams showing an optical system 1000 and an image pickup device module including the optical system 1000 according to the first and second embodiments of the present invention.

[0055] Reference Figure 1 and Fig.10 , the optical system 1000 or the camera module may include a lens portion 100 and 100A having a plurality of lens groups LG1 and LG2. In detail, 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.

[0056] The first lens group LG1 includes V lenses, and the V lenses may include two or more lenses, for example, two to three lenses. The second lens group LG2 includes W lenses, and the W lenses may include five or more lenses. The second lens group LG2 may include more lenses than the first lens group LG1, for example, eight or less or six or more lenses. The number of lenses of the second lens group LG2 may be six or more than the number of lenses of the first lens group LG1. The total number of lenses of the first lens group LG1 and the second lens group LG2 is 9 to 11. For example, the first lens group LG1 may include 3 lenses, and the second lens group LG2 may include 7 lenses.

[0057] In the optical system 1000, the total track length (TTL) may be less than 70% of the diagonal length of the image sensor 300, for example, in the range of 40% to 69% or 50% to 60%. The TTL is a 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, the diagonal length of the image sensor 300 is the maximum diagonal length of the image sensor 300, and may be twice the distance (ImgH) from the optical axis OA to the diagonal end thereof. Therefore, a slim optical system and a camera module having the slim optical system may be provided.

[0058] The first lens group LG1 refracts light incident through the object side to be condensed, and the second lens group LG2 may refract light emitted through the first lens group LG1 so that it may be diffused to the periphery of the image sensor 300 .

[0059] 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 may have different focal lengths and opposite refractive powers, thereby providing good optical performance in the central and peripheral portions of the FOV. The refractive power is the reciprocal of the focal length.

[0060] 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 three or more times, for example, in the range of three to seven 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 and peripheral portions of the FOV.

[0061] On the optical axis OA, the first lens group LG1 and the second lens group LG2 may 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 a separation distance on the optical axis OA, and may be an optical axis distance between a sensor-side surface of a lens closest to the image sensor among the lenses in the first lens group LG1 and an object-side surface of a lens closest to the object among the lenses in the second lens group LG2.

[0062] The optical axis distance between the first lens group LG1 and the second lens group LG2 is less than the central thickness of the last lens of the first lens group LG1 and can be greater than the central 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 32% or less of the optical axis distance of the first lens group LG1. For example, it is in the range of 12% to 32% or 17% to 27% 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 closest to the object side in the first lens group LG1 and the sensor-side surface of the lens closest to the sensor side.

[0063] The optical axis distance between the first lens group LG1 and the second lens group LG2 can be 10% or less of the optical axis distance of the second lens group LG2. For example, it is in the range of 2% to 10% or 2% to 8%. The optical axis distance of the second lens group LG2 is the optical axis distance between the object-side surface of the lens closest to the object side in the second lens group LG2 and the sensor-side surface of the lens closest to the sensor side.

[0064] 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 formulas can be satisfied: 0 < D_LG1 / n < 0.3 and 0.3 < D_LG2 / n < 1.

[0065] 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. 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 ∑CA, and the following formula can be satisfied: 5 < ∑CA / n < 15. In addition, the sum of the central thicknesses from the first lens to the last lens is ∑CT, and the following formula can be satisfied: 0.1 < ∑CT / n < 0.5. The sum of the central distances between two adjacent lenses is ∑CG, and the following formula can be satisfied: 0.1 < ∑CG < ∑CT. n is the total number of lenses. Therefore, a thin optical system can be provided.

[0066] The lens in the first lens group LG1 having the smallest effective diameter can be the lens closest to the second lens group LG2. The lens in the second lens group LG2 having the smallest effective diameter can be the lens closest to the first lens group LG1. Here, 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 can have good optical performance not only at the central part of the field of view (FOV) but also at the peripheral part, and chromatic aberration and distortion aberration can be improved. The size of the lens in the first lens group LG1 having the smallest effective diameter can be smaller than the size of the lens in the second lens group LG2 having the smallest effective diameter. Here, the FOV can satisfy: for the total number of lenses n, 6.5 < FOV / n < 12. Therefore, a thin telephoto imaging device module can be provided.

[0067] The lens closest to the object side in the first lens group LG1 can have a positive (+) refractive power, and the lens closest to the sensor side in the second lens group LG2 can have a negative (-) refractive power. In the optical system 1000, the number of lenses having a positive (+) refractive power can be greater than the number of lenses having a negative (-) refractive power. In the first lens group LG1, the number of lenses having a positive (+) refractive power can be greater than the number of lenses having a negative (-) refractive power. In the second lens group LG2, the number of lenses having a positive (+) refractive power can be greater than the number of lenses having a negative (-) refractive power.

[0068] Each of the plurality of lenses 100 can include an effective region and a non-effective region. The effective region can be the region through which the light incident on each of the lenses 100 passes. That is, the effective region can be the effective region or the effective diameter region that realizes the optical properties by refracting the incident light. The non-effective region can be arranged around the effective region. The non-effective region can be the region into which the effective light from the plurality of lenses 100 does not enter. That is, the non-effective region can be a region irrelevant to the optical characteristics. In addition, the end of the non-effective region can be the region fixed to the lens barrel (not shown) that houses the lens.

[0069] The optical system 1000 can include an image sensor 300 disposed on the sensor side of the lens units 100 and 100A. The image sensor 300 can detect light and convert it into an electrical signal. The image sensor 300 can detect the light that sequentially passes through the plurality of lenses 100. The image sensor 300 can 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 can be greater than 2 mm, for example, greater than 4 mm and less than 12 mm. Preferably, the ImgH of the image sensor 300 can be less than the TTL.

[0070] The optical system 1000 may include a filter 500. The filter 500 may be disposed between the second lens group LG2 and the image sensor 300. The filter 500 may be disposed between the lens closest to the sensor side among the plurality of lenses 100 and the image sensor 300. For example, when the optical system 100 has ten lenses, the filter 500 may be disposed between the tenth lens 110 and the image sensor 300.

[0071] The filter 500 may include an infrared filter. The filter 500 may allow light in a set wavelength band to pass through and filter light in different wavelength bands. When the filter 500 includes an infrared filter, radiant heat emitted from external light can be prevented from being transmitted to the image sensor 300. Additionally, the filter 500 may transmit visible light and reflect infrared light. As another example, a cover glass may be further disposed between the filter 500 and the image sensor 300.

[0072] The optical system 1000 according to an embodiment may include an aperture ST. The aperture stop ST may control the amount of light incident on the optical system 1000. The aperture stop ST may be disposed around at least one lens of the first lens group LG1. For example, the aperture stop ST may be disposed around the object side surface or the sensor side surface of the second lens 102. The aperture stop ST may be disposed 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 the aperture stop. Specifically, the object side surface or the sensor side surface of one lens selected from the lenses of the first lens group LG1 may be used as the aperture stop for adjusting the amount of light.

[0073] The straight-line distance from the aperture stop ST to the sensor side surface of the nth lens may be less than the optical axis distance from the object side surface of the first lens 101 to the sensor side surface of the nth lens. When SD is the optical axis distance from the aperture stop ST to the sensor side surface of the nth lens, SD may satisfy: SD < EFL. Additionally, SD may satisfy: SD < ImgH. EFL is the effective focal length of the entire optical system and may be defined as F. EFL and ImgH may be the same or different from each other and may have a difference of 2 mm or less. The FOV of the optical system 1000 may 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 may be greater than 1 and less than 10, for example, in the range of 1.1 ≤ F# ≤ 5. Additionally, F# may be less than the entrance pupil diameter (EPD). Therefore, the optical system 1000 has a thin size, can control incident light, and can have improved optical characteristics within the FOV.

[0074] The effective diameter of the lens gradually decreases from the object side lens to the lens surface where the aperture stop is set (e.g., the fourth surface), and the effective diameter from the lens surface set on the sensor side compared to the above-mentioned aperture stop (e.g., the fifth surface) to the effective diameter of the lens surface of the last lens can gradually increase.

[0075] The optical system 1000 according to the embodiment may further include a reflective member (not shown) for changing the optical path. The reflective member may be implemented as a prism that reflects the incident light of the first lens group LG1 toward the lens. Hereinafter, the optical system according to the embodiment will be described in detail.

[0076] Figure 1 is a configuration diagram of an optical system and an imaging device module according to a first embodiment of the present invention, Figure 2 It is shown Figure 1 a diagram showing a relationship between an image sensor, an n-th lens, and an n-1-th lens of an optical system, and Fig.10 is a configuration diagram of an optical system and an imaging device module according to a second embodiment.

[0077] Reference Figure 1 , Figure 2 and Fig.10 , the optical system 1000 according to the embodiment includes a lens portion 100 and 100A having a plurality of lenses, and the lens portion 100 and 100A may include first to tenth lenses 101 to 110. The first to tenth lenses 101 to 110 may be sequentially aligned along the optical axis OA of the optical system 1000. Light corresponding to object information may pass through the first to tenth lenses 110 and the filter 500, and be incident on the image sensor 300.

[0078] The first lens group LG1 may include first to third lenses 101 to 103, and the second lens group LG2 may include fourth to tenth lenses 104 to 110. 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.

[0079] The number of lenses having a convex meniscus shape from the optical axis toward the object side may be four or more, and may be in the range of 40% to 60% among the first to tenth lenses 101 to 110. The radius of curvature of each lens 101 to 103 of the first lens group LG1 may be a positive value, and the radius of curvature of each lens 104 to 110 of the second lens group LG2 may be a negative value. The number of lens surfaces having a negative value may be greater than the number of lens surfaces having a positive value.

[0080] 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.

[0081] 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. Figure 4 and Fig.12 As shown, aspheric coefficients of a first surface S1 and a second surface S2 are provided, L1 is the first lens 101, L1S1 is the first surface, and L1S2 is the second surface.

[0082] The second lens 102 may have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The second lens 102 may have a 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.

[0083] 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. Figure 4 and Fig.12 Aspherical coefficients of the third surface S3 and the fourth surface S4 are provided as shown, L2 is the second lens 102, L2S1 is the third surface, and L2S2 is the fourth surface.

[0084] The third lens 103 may have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA, and may preferably have a positive (+) 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.

[0085] 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. Figure 4 and Fig.12 As shown, the aspheric coefficients of the fifth surface S5 and the sixth surface S6 are provided, L3 is the third lens 103, L3S1 is the fifth surface, and L3S2 is the sixth surface.

[0086] 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 along the optical axis OA, that is, the center thickness of the third lens 103 may be the thinnest. Therefore, the optical system 1000 may control incident light and may have improved aberration characteristics and resolution.

[0087] 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 effective radius r11 (semi-aperture) of the first surface S1 may be the largest, and 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 effective diameter of the third lens 103 may be the smallest among all lenses of the optical system 1000. The effective diameter is the average of the effective diameter of the object-side surface of each lens and the effective diameter of 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.

[0088] 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 less than 30, for example. 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.

[0089] 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, and may be, for example, 10 mm or more. The radius of curvature of the first surface S1 of the first lens 101 may be the smallest, and may be 4.5 mm or less. In the first lens group LG1, the difference between the lens surface with the largest radius of curvature and the lens surface with the smallest radius of curvature may be 4 times or more. The average radius of curvature of the first to sixth surfaces S1 to S6 may be 8.5 mm or less, for example, in the range of 3 mm to 8.5 mm. Each of the first to third lenses 101 to 103 may have a meniscus shape convex toward the object side.

[0090] The fourth lens 104 may have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The fourth lens 104 may have a 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.

[0091] 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 convex shape, and the eighth surface S8 may have a convex shape. That is, the fourth lens 104 may have a convex shape on both sides of the optical axis OA. Alternatively, the seventh surface S7 may have a concave shape along the optical axis OA, and the eighth surface S8 may have a convex shape along the optical axis OA. That is, the fourth lens 104 may have a meniscus shape convex from the optical axis OA toward the sensor. 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. As Figure 4And Fig.12 The aspherical coefficients of the seventh surface S7 and the eighth surface S8 are provided as shown. L4 is the fourth lens 104, L4S1 is the seventh surface, and L4S2 is the eighth surface.

[0092] When the radii of curvature of the seventh surface S7 and the eighth surface S8 of the fourth lens 104 are expressed as absolute values, the average value of the radii of curvature of the seventh surface S7 and the eighth surface S8 can be 10 times or more the average value of the radii of curvature of the fifth surface S5 and the sixth surface S6 of the third lens 103. For example, it can be in the range of 15 times to 30 times. In absolute values, at least one or both of the seventh surface S7 and the eighth surface S8 of the fourth lens 104 can be larger than the radii of curvature of the first surface to the sixth surface S1 to S6. The refractive index of the fourth lens 104 can be less than the refractive index of the third lens 103. The Abbe number of the fourth lens 104 can be greater than the Abbe number of the third lens 103. Therefore, the optical system 1000 can have improved chromatic aberration control characteristics.

[0093] The fifth lens 105 can have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The fifth lens 105 can have a positive (+) refractive power. The fifth lens 105 can include a plastic or glass material. For example, the fifth lens 105 can be made of a plastic material. When expressed as an absolute value, the focal length of the fifth lens 105 can be the largest in the optical system, and for example, can satisfy the following formula: F6 < F4 < F5, and F5 can be 500 mm or more or 1000 mm or more. Additionally, the formula: F4 < (F5 / 2) can be satisfied.

[0094] The fifth lens 105 can 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 can have a concave shape, and the tenth surface S10 can have a convex shape. That is, the fifth lens 105 can have a meniscus shape that bulges toward the sensor from the optical axis OA. Alternatively, on the optical axis OA, the ninth surface S9 can have a concave shape, and the tenth surface S10 can have a concave shape. Alternatively, the fifth lens can have a convex shape on both sides.

[0095] In the absence of a critical point, the ninth surface S9 and the tenth surface S10 of the fifth lens 105 may be set from the optical axis OA to the end of the effective area. When expressed as an absolute value, the average value of the radius of curvature of the ninth surface S9 and the tenth surface S10 of the fifth lens 105 may be smaller than the radius of curvature of the seventh surface S7 of the fourth lens 104, greater than the average radius of curvature of the first lens to the third lens 101, 102 and 103, and may be 50 mm or less, for example, 40 mm or less. The difference between the radius of curvature of the ninth surface S9 and the tenth surface S10 may be 10 mm or less or 8 mm or less. The refractive index of the fifth lens 105 may be greater than 1.60, for example, 1.65 or greater, and may be greater than the refractive index of the first lens 101 and the second lens 102.

[0096] 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. Figure 4 and Fig.12 As shown, aspherical coefficients of the ninth surface S9 and the tenth surface S10 are provided, L5 is the fifth lens 105, L5S1 is the ninth surface, and L5S2 is the tenth surface.

[0097] The sixth lens 106 may have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The sixth lens 106 may have a positive (+) 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.

[0098] 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.

[0099] The difference between the curvature radii of the eleventh surface S11 and the twelfth surface S12 may be 15 mm or less or 10 mm or less. When expressed as an absolute value, the curvature radii of the eleventh surface S11 and the twelfth surface S12 may be greater than the curvature radii of the first surface S1 and the second surface S2, and may be less than the curvature radii of the seventh surface S7 and the eighth surface S8.

[0100] The refractive index of the sixth lens 106 is 1.6 or less, and may be less than the refractive indices of the third lens 103 and the fifth lens 105. The focal length of the sixth lens 106 may be four times greater than the focal length of the fourth lens 104 when expressed as an absolute value, and greater than the sum of the focal lengths of the sixth to tenth lenses 106 to 110.

[0101] At least one of the eleventh surface S11 and the twelfth surface S12 may be an aspherical surface. For example, both the eleventh surface S11 and the twelfth surface S12 may be aspherical surfaces. Figure 4 and Fig.12 As shown, the aspheric coefficients of the eleventh surface S11 and the twelfth surface S12 are provided, L6 is the sixth lens 106, L6S1 is the eleventh surface, and L6S2 is the twelfth surface.

[0102] The seventh lens 107 may have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The seventh lens 107 may have a 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.

[0103] 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 concave shape, and the fourteenth surface S14 may have a convex shape. That is, the seventh lens 107 may have a meniscus shape convex from the optical axis OA toward the sensor. 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 object side.

[0104] When the radius of curvature on the optical axis OA is expressed as an absolute value, the difference between the radius of curvature of the thirteenth surface S13 and the fourteenth surface S14 of the seventh lens 107 may exceed 100 mm, for example, 150 mm or more. That is, the radius of curvature may satisfy the following formula: 100<|L7R2-L7R1|<400. Here, L7R1 is the radius of curvature of the thirteenth surface S13, and L7R2 is the radius of curvature of the fourteenth surface S14.

[0105] The refractive index of the seventh lens 107 is greater than 1.6, and may be greater than the refractive indices of the first lens 101, the second lens 102, and the fourth lens 104. When expressed as an absolute value, the focal length of the sixth lens 106 may be greater than twice the focal length of the fourth lens 104, and greater than the sum of the focal lengths of the seventh to tenth lenses 107 to 110.

[0106] At least one of the thirteenth surface S13 and the fourteenth surface S14 may be an aspherical surface. For example, both the thirteenth surface S13 and the fourteenth surface S14 may be aspherical surfaces. Figure 4 and Fig.12 Aspherical coefficients of the thirteenth surface S13 and the fourteenth surface S14 are provided as shown, L7 is the seventh lens 107, L7S1 is the thirteenth surface, and L7S2 is the fourteenth surface.

[0107] At least one of the thirteenth surface S13 and the fourteenth surface S14 of the seventh lens 107 may have a critical point. For example, in the absence of a critical point, the thirteenth surface S13 may be set to the end of the effective area of ​​the thirteenth surface S13 based on the optical axis OA. The fourteenth surface S14 may have a critical point, and the critical point may be set within a range of 43% or less of the distance from the optical axis OA to the end of the effective area, for example, within a range of 23% to 43%. 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 mean 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.

[0108] Here, the sixth distance CG6 which is the optical axis distance between the sixth lens 106 and the seventh lens 107 may be greater than the sixth thickness CT6 which is the center thickness of the sixth lens 106 , and may be less than the sum of the center thicknesses of the sixth lens 106 and the seventh lens 107 (CT6+CT7).

[0109] The eighth lens 108 may have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The eighth lens 108 may have a negative (-) 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.

[0110] 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 concave shape. That is, the eighth lens 108 may have a concave shape on both sides of the optical axis OA. Alternatively, the eighth lens 108 may have a meniscus shape convex toward the sensor. Alternatively, the eighth lens 108 may have a convex shape on both sides of the optical axis OA. Alternatively, the eighth lens 108 may have a meniscus shape convex toward the object side.

[0111] When the radius of curvature on the optical axis OA is expressed as an absolute value, the difference between the radius of curvature of the fifteenth surface S15 and the sixteenth surface S16 of the eighth lens 108 can be 50 mm or less or 40 mm or less. That is, the radius of curvature can satisfy the following formula: L8R1 < L8R2 < 3 * L8R1. Here, L8R1 is the radius of curvature of the fifteenth surface S15, and L8R2 is the radius of curvature of the sixteenth surface S16.

[0112] The refractive index of the eighth lens 108 is less than 1.6 and can be less than the refractive indices of the fifth lens 105 and the seventh lens 107. When the focal length of the eighth lens 108 is expressed as an absolute value, it can be less than the focal length of the fourth lens 104 and greater than the respective focal lengths of the ninth lens 109 and the tenth lens 110.

[0113] At least one of the fifteenth surface S15 and the sixteenth surface S16 of the eighth lens 107 can be an aspherical surface. For example, both the fifteenth surface S15 and the sixteenth surface S16 can be aspherical surfaces. As Figure 4 and Fig.12 shown, the aspherical coefficients of the fifteenth surface S15 and the sixteenth surface S16 are provided, L8 is the eighth lens 108, L8S1 is the fifteenth surface, and L8S2 is the sixteenth surface.

[0114] At least one or both of the fifteenth surface S15 and the sixteenth surface S16 of the eighth lens 108 can have critical points. For example, the fifteenth surface S15 can have critical points in the region from the optical axis OA to the end of the effective region of the fifteenth surface S15. The sixteenth surface S16 can have critical points in the region from the optical axis OA to the end of the effective region. The critical points of the fifteenth surface S15 can be set within 41% of the distance from the optical axis OA to the end of the effective region, for example, in the range of 21% to 41% or 26% to 36%. The critical points of the sixteenth surface S16 can be set within 33% of the distance from the optical axis OA to the end of the effective region, for example, in the range of 13% to 33% or 18% to 28%. Here, the critical points of the sixteenth surface S16 can be set closer to the optical axis than the critical points of the fifteenth surface S15.

[0115] The ninth lens 109 can have a positive (+) refractive power or a negative (-) refractive power on the optical axis OA. The ninth lens 109 can have a positive (+) refractive power. The ninth lens 109 can include a plastic or glass material. For example, the ninth lens 109 can be made of a plastic material.

[0116] 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 concave shape. That is, the ninth lens 109 may have a meniscus shape convex from the optical axis OA toward the object side. Alternatively, the ninth lens 109 may have a convex meniscus shape from the optical axis OA toward the sensor side, or may have a concave shape or a convex shape on both sides.

[0117] At least one of the seventeenth surface S17 and the eighteenth surface S14 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. Figure 4 and Fig.12 Aspherical coefficients of the seventeenth surface S17 and the eighteenth surface S18 are provided as shown, L9 is the ninth lens 109, L9S1 is the seventeenth surface, and L9S2 is the eighteenth surface.

[0118] like Figure 2 As shown, the ninth lens 109 may have at least one critical point from the optical axis OA to the end of the effective area on the seventeenth surface S17 and the eighteenth surface S18. The critical point P1 of the seventeenth surface S17 may be located at a distance Inf91 of 52% or less of the effective radius r91, which is the distance from the optical axis OA to the end of the effective radius, for example, in the range of 32% to 52% or in the range of 37% to 47%. The critical point of the seventeenth surface S17 may be set outside the critical points of the fifteenth surface S15 and the sixteenth surface S16 based on the optical axis.

[0119] The critical point of the eighteenth surface S18 may be located at a distance of 51% or less of the effective radius relative to the optical axis OA, for example, in the range of 31% to 51% or in the range of 36% to 46%. The position of the critical point of the eighteenth surface S18 may be set outside the critical points of the fifteenth surface S15 and the sixteenth surface S16 based on the optical axis. When the distance from the optical axis to the critical point of the eighteenth surface S18 is Inf92, Inf91 and Inf92 may be set in the range of 1.4mm to 2.4mm relative to the optical axis OA, and the difference between the two distances Inf91 and Inf92 may be 0.4mm or less. 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 mean a point at which the slope value is zero. In addition, the critical point may be a point at which the slope value of the tangent line passing through the lens surface decreases as it increases, or a point at which the slope value increases as it decreases. Considering the optical characteristics of the optical system 1000, it is preferred that the critical point of the ninth lens 109 is set at a position satisfying the above range. Specifically, the position of the critical point preferably satisfies the above range for controlling the optical characteristics of the optical system 1000, such as chromatic aberration, distortion characteristics, aberration characteristics, and resolution. 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 FOV.

[0120] 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. The tenth lens 110 may be the lens closest to the sensor or the last lens in the optical system 1000.

[0121] 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 convex shape, and the twentieth surface S20 may have a concave shape. That is, the tenth lens 110 may have a meniscus shape convex from the optical axis OA toward the object side. Alternatively, the tenth lens 110 may have a convex meniscus shape from the optical axis OA toward the sensor side, or may have a concave shape or a convex shape on both sides.

[0122] At least one of the nineteenth surface S19 and the twentieth 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. Figure 4 and Fig.12Aspherical coefficients of the nineteenth surface S19 and the twentieth surface S20 are provided, L10 is the tenth lens 110, L10S1 is the nineteenth surface, and L10S2 is the twentieth surface.

[0123] The average effective diameters of the nineteenth surface S19 and the twentieth surface S20 of the tenth lens 110 are greater than 10 mm, and the average effective diameters of the seventeenth surface S17 and the eighteenth surface S18 of the ninth lens 109 are less than 10 mm, and the effective diameter of the tenth lens 110 may be 3 mm or more larger than the effective diameter of the ninth lens 109. Here, the effective diameter of the ninth lens 109 may be greater than the effective diameter of the eighth lens 108 by 1 mm or more and less than 3 mm. Therefore, the tenth lens 110 may refract the light refracted by the eighth lens 108 and the ninth lens 109 to the periphery of the image sensor 300.

[0124] like Figure 2 As shown, the nineteenth surface S19 and the twentieth surface S20 of the tenth lens 110 may have at least one critical point from the optical axis OA to the end of the effective area. The critical point of the nineteenth surface S19 may be located at a distance of 19% or less of the effective radius, which is the distance from the optical axis OA to the end of the effective radius, for example, in a range of 1% to 19% or in a range of 4% to 14%. The critical point of the nineteenth surface S19 may be set more inward than the critical points of the fifteenth surface S15 and the sixteenth surface S16 based on the optical axis.

[0125] The critical point P2 of the twentieth surface S20 may be located at a distance of 23% or more of the effective radius relative to the optical axis OA, for example, in the range of 23% to 43% or in the range of 28% to 48%. The position of the critical point P2 of the twentieth surface S20 may be set outside the critical points of the fifteenth surface S15 and the sixteenth surface S16 based on the optical axis.

[0126] The distance from the optical axis to the critical point of the nineteenth surface S19 of the tenth lens 110 is Inf101, and the distance from the optical axis to the critical point of the twentieth surface S20 of the tenth lens 110 is Inf102. In this case, the distance difference between Inf101 and Inf102 may be greater than or equal to 1 mm, for example, in the range of 1.5 mm to 2.5 mm. Considering the optical characteristics of the optical system 1000, it is preferred that the critical point of the tenth lens 110 is set at a position satisfying the above range. Specifically, the position of the critical point preferably satisfies the above range for controlling the optical characteristics of the optical system 1000, such as chromatic aberration, distortion characteristics, aberration characteristics, and resolution. 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 FOV.

[0127] In addition, the normal line K2 has a predetermined angle θ1 with the optical axis OA, the normal line K2 is a straight line perpendicular to the tangent line K1 passing through any point of the twentieth surface S20 on the sensor side of the tenth lens 110 as the last lens, and the maximum angle of the angle θ1 can be greater than 5 degrees and less than 65 degrees, for example, in the range of 20 degrees to 50 degrees or 25 degrees to 45 degrees. Therefore, since the optical axis or paraxial region of the twentieth surface S20 has the minimum Sag value, a slim optical system can be provided.

[0128] Among the fourth to tenth lenses 104 to 110, the lens with 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, for example, 0.6 mm or greater. The lens with the smallest center thickness in the second lens group LG2 may be any one of the fourth to eighth lenses 104 to 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 with the largest center thickness in the optical system may be the ninth lens 109, and the lens with 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.

[0129] Among the fourth to tenth lenses 104 to 110, the fourth lens 104 may have the smallest average effective diameter CA (clear aperture) of the lens, and the tenth lens 110 may have the largest average effective diameter. Specifically, in the second lens group LG2, the effective diameter of the seventh surface S7 of the fourth lens 104 may be the smallest, and the effective diameter of the twentieth surface S20 may be the largest. The effective diameter of the twentieth surface S20 may be the largest effective diameter in the optical system, and may be three times or more the size of the effective diameters of the sixth surface S6 and the seventh surface S7. Since the effective diameters of the sixth surface S6 and the seventh surface S7 are less than 4 mm, and the effective diameter of the tenth lens 110 is set to be the largest, light may be refracted by the first lens group LG1 in the direction of the optical axis, and light may be refracted by the second lens group LG2 to the peripheral portion of the image sensor 300. 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.

[0130] In the second lens group LG2, the number of lenses having a refractive index greater than 1.6 may be smaller 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 smaller than the number of lenses having an Abbe number less than 50.

[0131] Reference Figure 2 , the back focal length (BFL) is the optical axis distance from the image sensor 300 to the last lens. That is, BFL is the distance between the image sensor 300 and the sensor-side twentieth surface S20 of the tenth lens 110 on the optical axis. CT9 is the center thickness or optical axis thickness of the ninth lens 109, and L9_ET is the end or edge thickness of the effective area of ​​the ninth lens 109. CT10 is the center thickness or optical axis thickness of the tenth lens 110. CG9 is the optical axis distance (e.g., center distance) from the center of the sensor-side surface of the ninth lens 109 to the center of the object-side surface of the tenth lens 110. That is, the optical axis distance CG9 from the center of the sensor-side surface of the ninth lens 109 to the center of the object-side surface of the tenth lens 110 is the distance between the eighteenth surface S18 and the nineteenth surface S19 on the optical axis OA.

[0132] In this form, the thickness of the center of each of the first to tenth lenses 101 to 110 may be denoted by CT1 to CT10, and the thickness of the edge which is the end of the effective area may be denoted by ET1 to ET10.

[0133] 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, the center distance between the third lens 103 and the fourth lens 104 is CG3, and 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, and 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, and the center distance between the ninth lens 109 and the tenth lens 110 can be defined as CG9. The edge distances between two adjacent lenses can be represented by EG1 to EG9.

[0134] In addition, as Figure 5 and Fig.11 shown, the thicknesses of each of the lenses 101 to 110 can be defined as T1 to T10, and can be represented by a distance of 0.1 mm or more in the first direction Y from the center toward the edge side. The distances between two adjacent lenses can be represented by G1 to G9, and can be represented by a distance of 0.1 mm or more in the first direction Y from the center between two adjacent lenses. The distance CG9 between the ninth lens 109 and the tenth lens 110 can be greater than the center distance CG3 between the third lens 103 and the fourth lens 104. CG9 can satisfy: (CT9 + CT10) < CG9, and can be 1.2 mm or more.

[0135] The center thickness CT9 of the ninth lens 109 is the largest among the center thicknesses of the lenses, and the center distance CG9 between the ninth lens 109 and the tenth lens 110 is the largest among the center distances between the lenses. The center thickness CT2 of the second lens 102 is the smallest among the thicknesses of the lenses, and at least one of the center distances CG2 between the second lens 102 and the third lens 103, the center distance CG5 between the fifth lens 105 and the sixth lens 106, and the center distance CG7 between the seventh lens and the eighth lens 108 can be the smallest among the center distances between the lenses. The minimum distance can be 0.3 mm or less. When the optical axis distance from the first surface S1 of the first lens 101 to the twelfth surface S12 on the sensor side of the sixth lens 106 is D16, and the optical axis distance from the thirteenth surface S13 of the seventh lens 107 to the twentieth surface S20 of the tenth lens 110 is D720, the following formula can be satisfied: D15 < D620. When the optical axis distance from the thirteenth surface S13 of the seventh lens 107 to the eighteenth surface S18 of the ninth lens 109 is D79, the following formula can be satisfied: CG9 > D79. Therefore, an optical system 1000 having 9 or more lenses can be provided in a thin and compact size.

[0136] In the optical system 1000, the number of lenses with an effective radius of 1.58 or greater may be less than 50% of the total number of lenses. In addition, the average value of the total refractive index may be less than 1.62, for example, 1.6 or less. The sum of the center thickness of each lens may be less than 5 mm, for example, 4.5 mm or less, and the average value of the center thickness of all lenses may be less than 0.5 mm, for example, 0.45 mm or less. The sum of the center distances between adjacent lenses may be less than 4.6 mm, for example, 4.3 mm or less, and the average value of the center distances of adjacent lenses may be less than 0.46 mm, for example, 0.43 mm or less. A thin optical system having such a center thickness and center distance may be provided. Among the plurality of lens surfaces S1 to S20, the number of surfaces with an effective radius less than 2 mm may be equal to or different from the number of surfaces with an effective radius of 2 mm or greater, and the number of lenses with a center thickness less than 0.4 mm may be 60% or less, for example, 50% or less. In the case where the radius of curvature is described as an absolute value, the radius of curvature of the fourteenth surface S14 of the seventh lens 104 in the lens portions 100 and 100A may be the largest among the lens surfaces on the optical axis OA, and the radius of curvature of the twentieth surface S20 of the tenth lens 110 may be the smallest among the lens surfaces on the optical axis OA. In the case where the focal length is described as an absolute value, the focal length of the fifth lens 105 in the lens portions 100 and 100A may be the largest among the lenses, and the focal lengths of the ninth lens 109 and the tenth lens 110 may be as small as 10 mm or less. The maximum focal length may be 10 times or more the minimum focal length.

[0137] The optical system 1000 according to the embodiment disclosed above may satisfy at least one or two or more of the various 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.

[0138] Hereinafter, the center thickness of the first to tenth lenses 101 to 110 may be defined as CT1 to CT10, the edge thickness may be defined as ET1 to ET10, the center distance or optical axis distance between two adjacent lenses may be defined as CG1 to CG9, and the edge distance between two adjacent lenses may be defined as EG1 to EG9. The units of thickness and distance are mm.

[0139] [Formula 1]2 <CT3 / CT1<7

[0140] 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, the above Formula 1 can satisfy: <CT3 / CT1<5。

[0141] [Equation 2] 0.3 <CT3 / ET3<2

[0142] In Formula 2, when the thickness CT3 of the third lens 103 on the optical axis and the edge thickness ET3 of the third lens 103 are satisfied, the optical system 1000 may have improved chromatic aberration control characteristics. Preferably, the above Formula 2 may satisfy: 0.3 <CT3 / ET3<1。

[0143] [Formula 2-1]1 <CT1 / ET1<5

[0144] [Formula 2-2]1 <CT2 / ET2<5

[0145] [Formula 2-3] (CT2+CT3)>CT1

[0146] [Formula 2-4] 0.8≤CT4 / ET4<3

[0147] [Formula 2-5] 0.8≤CT5 / ET5<3

[0148] [Formula 2-6]1 <CT6 / ET6<5

[0149] [Formula 2-7] 0.3≤CT7 / ET7<2

[0150] [Formula 2-8] 0.3 <CT8 / ET8<2

[0151] [Formula 2-9] 1.5 <CT9 / ET9<5.5

[0152] [Formula 2-10] 0.3 <CT10 / ET10<2

[0153] [Formula 2-11] 0.5 <SD / TD<1

[0154] When the ratio of the center thickness to the edge thickness of the second to tenth lenses 102 to 110 in Formulas 2-1 to 2-11 is satisfied, the optical system 1000 may have improved chromatic aberration control characteristics. SD is an optical axis distance from the aperture stop to the sensor-side twentieth surface S20 of the tenth lens 110, and TD is an optical axis distance from the object-side first surface S1 of the first lens 101 to the sensor-side twentieth surface S20 of the tenth lens 110. 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 2-11, the chromatic aberration of the optical system 1000 may be improved.

[0155] [Formula 2-12] 1<|F_LG2 / F_LG1|<10

[0156] 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 2-12, the chromatic aberration of the optical system 1000 can be improved. That is, as the value of Formula 2-12 approaches 1, the distortion aberration can be reduced. The value of Formula 2-12 can satisfy: 2<|F_LG2 / F_LG1|<6.

[0157] [Formula 3] D79 <CG9

[0158] In Formula 3, when the optical axis distance D79 from the thirteenth surface S13 of the seventh lens 107 to the eighteenth surface S18 of the ninth lens 109 and the center distance CG9 between the ninth lens 109 and the tenth lens 110 are satisfied, 9 or more sheets in the optical system can be made thinner, and the factors affecting the reduction of distortion aberration can be improved. In Formula 3, CG9 can satisfy: 1.5≤CG9<2.5.

[0159] [Equation 4] 1.6 <n3

[0160] In Formula 4, n3 means 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, the optical system 1000 can satisfy: 1.65≤n3. In addition, the optical system 1000 can satisfy: 16<(n3*n) (n is the number of lenses, and * represents multiplication).

[0161] [Formula 4-1]

[0162] 15 <n1*n<16

[0163] 15 <n10*n<16

[0164] In Equation 4-1, n1 is the refractive index of the first lens 101 at the d-line, n10 is 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 Equation 4-1, the influence on the TTL of the optical system 1000 can be suppressed.

[0165] [Equation 4-2]

[0166] 16 < n5 * n

[0167] 16 < n7 * n

[0168] In Equation 4-2, n5 is the refractive index of the fifth lens 105 at the d-line, n7 means the refractive index of the seventh lens 107 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 Equation 4-2, the optical system 1000 can improve the chromatic aberration characteristics.

[0169] [Equation 5] 0.5 < L10S2_max_sag to sensor < 1.5

[0170] In Equation 5, L10S2_max_sag to sensor means the distance from the maximum Sag value of the second surface S20 on the sensor side of the tenth lens 110 to the image sensor 300 in the direction of the optical axis. For example, L10S2_max_sag to sensor means the distance from the critical point P2 of the sensor-side surface of the tenth lens 110 to the image sensor 300 in the direction of the optical axis. When the optical system 1000 according to the embodiment satisfies Equation 5, the optical system 1000 ensures that the filter 500 can be disposed in the space between the lens units 100 and 100A 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 a gap for module manufacturing. Preferably, the value of Equation 5 can satisfy: 0.5 < L10S2_max_sag to sensor < 1.

[0171] In the lens data of 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 set within the range where it does not contact the last lens and the image sensor 300. Therefore, in the lens data, the value of L10S2_max_sag to the sensor in the lens data can be less than the BFL of the optical system 1000, and the position of the filter 500 can be such that it does not contact the last lens and the image sensor 300 respectively to have good optical performance. That is to say, the distance between the twentieth surface S20 of the tenth lens 110 and the image sensor 300 at the critical point P2 can be the smallest, and it gradually increases towards the end of the effective area.

[0172] [Equation 6] 1 < BFL / L10S2_max_sag to sensor < 2

[0173] In Equation 6, BFL means the distance (mm) from the center of the twentieth surface S20 on the sensor side of the tenth lens 110 closest to the image sensor 300 on the optical axis OA 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 part of the FOV. Here, the maximum Sag value can be the position of the critical point. Equation 6 can be satisfied: 1 < BFL / L10S2_max_sag to sensor < 1.8.

[0174] [Equation 7] 5 < |L10S2_max slope| < 45

[0175] In Equation 7, L10S2_max slope means the maximum value (degree) of the tangent angle measured on the twentieth surface S20 on the sensor side of the tenth lens 110. Specifically, in the twentieth surface S20, L10S2_max slope means the angular value (degree) of the point having the maximum tangent angle with respect to the virtual line extending in the direction perpendicular to the optical axis OA. When the optical system 1000 according to the embodiment satisfies Equation 7, the optical system 1000 can control the occurrence of lens flare. Preferably, Equation 7 can be satisfied: 20 ≤ |L10S2_max slope| ≤ 40.

[0176] [Equation 8] 1.5 < Inf102 < 3

[0177] In Equation 8, Inf102 may refer to the distance from the optical axis OA to the critical point (or inflection point) of the twentieth surface S20 on the sensor side of the tenth lens 110. Inf102 may be located within 2.2 mm ± 0.3 mm from the optical axis OA. When the optical system 1000 according to the embodiment satisfies Equation 8, the influence on the slimness ratio of the optical system 1000 can be suppressed.

[0178] [Equation 9] 1 < CG9 / G9_min < 10

[0179] Equation 9 means: based on the optical axis OA, the distance CG9 between the ninth lens 109 and the tenth lens 110 and the minimum distance (G9_min) among the distances between the ninth lens 109 and the tenth lens 110. When the optical system 1000 according to the embodiment satisfies Equation 9, the optical system 1000 can improve the distortion aberration characteristics and can have good optical performance in the peripheral part of the FOV. Equation 9 can satisfy: 2 < CG9 / G9_min < 5 or 10 < (CG9*n) / (G9_min*n) < 100, where n is the number of lenses.

[0180] [Equation 10] 1 < CG9 / EG9 < 5

[0181] In Equation 10, when the optical axis distance CG9 and the edge distance EG9 between the ninth lens 109 and the tenth lens 110 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. Preferably, Equation 10 can satisfy 1.5 < CG9 / EG9 < 3.

[0182] [Equation 11] 0.01 < CG2 / CG4 < 1

[0183] 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 reducing the TTL. Preferably, Equation 11 can satisfy: 0.01 < CG2 / CG4 < 0.5 or 0.1 < (CG2 / CG4)*n < 10, where n is the number of lenses.

[0184] [Equation 11-1] 3 < CA_L10S2 / CG9 < 20

[0185] In Equation 11-1, CA_L10S2 is the effective diameter of the largest lens surface and is the effective diameter of the twentieth surface S20 on the sensor side of the tenth lens 110. When the optical system 1000 according to the embodiment satisfies Equation 11-1, the optical system 1000 can improve aberration characteristics and control the reduction of TTL. Preferably, Equation 11-1 can be satisfied: 5 < CA_L10S2 / CG9 < 10.

[0186] [Equation 11-2] 2 < CA_L9S2 / CG9 < 10

[0187] Equation 11-2 can set the effective diameter CA_L9S2 of the eighteenth surface S18 on the sensor side of the ninth lens 109 and the optical axis distance CG9 between the ninth lens 109 and the tenth lens 110. When the optical system 1000 according to the embodiment satisfies Equation 11-2, the optical system 1000 can improve aberration characteristics and control the reduction of TTL. Preferably, Equation 11-2 can be satisfied: 3 < CA_L9S2 / CG9 < 7.

[0188] [Equation 12] 1 ≤ CT1 / CT10 < 5

[0189] In Equation 12, when the thickness CT1 of the first lens 101 on the optical axis and the thickness CT10 of the tenth lens 110 on the optical axis are satisfied, the optical system 1000 can have improved aberration characteristics. In addition, the optical system 1000 has good optical performance under the set FOV and can control TTL. Preferably, Equation 12 can be satisfied: 1 ≤ CT1 / CT10 < 3 or 10 ≤ (CT1 / CT10)*n < 30, where n is the number of lenses.

[0190] [Equation 13] 1 < CT9 / CT10 < 5

[0191] In Equation 13, when the thickness CT9 of the ninth lens 109 on the optical axis and the thickness CT10 of the tenth lens 110 on the optical axis are satisfied, the optical system 1000 can reduce the manufacturing precision of the ninth lens 109 and the tenth lens 110, and can improve the optical performance of the central part and the peripheral part of the FOV. Preferably, Equation 13 can be satisfied: 1 < CT8 / CT9 < 3 or 10 < (CT9 / CT10)*n < 30, where n is the number of lenses. The central thicknesses of the fifth lens, the sixth lens, and the seventh lens can satisfy: (CT7 + CT8) < CT9. In addition, the central thicknesses of the first lens, the second lens, the third lens, and the eighth lens can satisfy: CT3 < CT8 < CT2 < CT1 < CT9.

[0192] [Equation 14] 0 < L9R2 / L10R1 < 1

[0193] In Equation 14, L9R2 means the radius of curvature (mm) on the optical axis of the eighteenth surface S18 of the ninth lens 109, and L10R1 means the radius of curvature on the optical axis of the nineteenth surface S19 of the tenth lens 110. 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 be satisfied as: 0 < L9R2 / L10R1 ≤ 0.5.

[0194] [Equation 15] 0 < (CG9 – EG9) / (CG9) < 2

[0195] When the center distance CG9 and the edge distance EG9 between the ninth lens 109 and the tenth lens 110 satisfy Equation 15, the optical system 1000 can reduce distortion and have 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 < (CG9 - EG9) / (CG9) < 1. Here, comparing the center distances (CG) between the fourth lens, the fifth lens, the sixth lens, the seventh lens, and the eighth lens can satisfy: CG4 < CG5 = CG7 < CG6.

[0196] [Equation 16] 0.5 < CA_L1S1 / CA_L3S1 < 2

[0197] In Equation 16, CA_L1S1 means the effective diameter CA (aperture) of the first surface S1 of the first lens 101, and CA_L3S1 means 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 is preferably satisfied as: 1 ≤ CA_L1S1 / CA_L3S1 ≤ 1.5 or 1 ≤ (CA_L1S1 / CA_L3S1)*n ≤ 1.5, where n is the number of lenses.

[0198] [Equation 17] 2 < CA_L10S2 / CA_L4S2 < 7

[0199] In Equation 17, CA_L4S2 means the effective diameter of the eighth surface S8 of the fourth lens 104, and CA_L10S2 means the effective diameter of the twentieth surface S20 of the tenth lens 110. 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 be satisfied as: 3 < CA_L10S2 / CA_L4S2 < 5 or 30 < (CA_L10S2 / CA_L4S2)*n < 50, where n is the number of lenses.

[0200] [Equation 18] 0.8 < CA_L4S2 / CA_L3S2 < 2

[0201] 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 chromatic aberration by controlling the optical path between the first lens group LG1 and the second lens group LG2, and can control vignetting to achieve optical performance. Preferably, Equation 18 can satisfy: 1 < CA_L4S2 / CA_L3S2 < 1.5 or 10 < (CA_L4S2 / CA_L3S2) * n < 15, where n is the number of lenses.

[0202] [Equation 19] 0.1 < CA_L9S2 / CA_L10S2 < 1

[0203] In Equation 19, when the effective diameter CA_L9S2 of the eighteenth surface S18 of the ninth lens 109 and the effective diameter CA_L10S2 of the twentieth surface S20 of the tenth lens 110 are satisfied, the optical system 1000 can improve chromatic aberration by controlling the optical path on the light emitting side. Preferably, Equation 19 can satisfy: 0.5 ≤ CA_L9S2 / CA_L10S2 ≤ 0.9 or 5 ≤ (CA_L9S2 / CA_L10S2) * n ≤ 9, where n is the number of lenses.

[0204] [Equation 20] 1 < CG3 / EG3 < 10

[0205] In Equation 20, when the distance CG3 between the third lens 103 and the fourth lens 104 and the marginal distance EG3 between the third lens 103 and the fourth lens 104 are satisfied on the optical axis, the optical system 1000 can reduce chromatic aberration, improve aberration characteristics, and control vignetting to achieve optical performance. Preferably, Equation 20 can satisfy: 4 < CG3 / EG3 < 9.

[0206] [Equation 21] 0 < CG8 / EG8 < 1

[0207] In Equation 21, when the center distance CG8 and the marginal distance EG8 between the eighth lens 108 and the ninth lens 109 are satisfied, the optical system can have good optical performance even in the central part and the peripheral part of the FOV, and can prevent distortion from occurring.

[0208] At least one of Equation 20 and Equation 21 may further include at least one of Equation 21-1 to Equation 21-6.

[0209] [Equation 21-1] 0 < CG1 / EG1 < 1

[0210] [Equation 21-2] 0 < CG2 / EG2 < 0.5

[0211] [Equation 21-3] 3 < CG4 / EG4 < 8

[0212] [Equation 21-4] 0 < CG5 / EG5 < 0.5

[0213] [Equation 21-5] 5 < CG6 / EG6 < 15

[0214] [Equation 21-6] 0 < CG7 / EG7 < 0.5

[0215] [Equation 22] 0.5 < G9_max / CG9 < 2

[0216] In Equation 22, when the central distance CG9 and the maximum distance G9_max in the distance between the ninth lens 109 and the tenth lens 110 are satisfied, the optical system 1000 can improve the optical performance of the peripheral part of the FOV. In addition, the distortion of the aberration characteristics can be suppressed. Preferably, Equation 22 can satisfy: 0.5 < G9_max / CG9 < 1.5.

[0217] [Equation 23] 0 < CT9 / CG9 < 1

[0218] In Equation 23, when the thickness CT9 of the ninth lens 109 on the optical axis and the distance CG9 on the optical axis between the ninth lens 109 and the tenth lens 110 are satisfied, the optical system 1000 can reduce the effective diameters of the ninth lens 109 and the tenth lens 110 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 < CT9 / CG9 < 0.5 or 1 < (CT9 / CG9)*n < 5, where n is the total number of lenses.

[0219] [Equation 24] 0.1 < CT10 / CG9 < 1

[0220] In Equation 24, when the thickness CT10 of the tenth lens 110 on the optical axis and the distance CG9 between the ninth lens 109 and the tenth lens 110 are satisfied, the optical system 1000 can reduce the effective diameters and the distance of the ninth lens 109 and the tenth lens 110, and improve the optical performance of the peripheral part of the FOV. Preferably, Equation 24 can satisfy: 0.1 < CT10 / CG9 < 0.5.

[0221] [Equation 25] (CT7 + CT8 + CT9) < CG9

[0222] In Formula 25, when the center thicknesses CT7, CT8, and CT9 of the seventh lens, the eighth lens, and the ninth lens and the optical axis distance CG9 between the ninth lens and the tenth lens are satisfied, the optical system 1000 can reduce the effective diameter and distance of the seventh lens to the tenth lens and improve the optical performance of the periphery of the FOV. Preferably, Formula 25-1 can satisfy: (CT8+CT9+CT10) <CG9。

[0223] [Equation 26] <CT8 / CG9<1

[0224] When equation 26 satisfies the thickness CT8 of the eighth lens 108 on the optical axis and the optical axis distance CG9 between the ninth lens and the tenth lens, the optical system 1000 can reduce the effective diameter and center distance of the eighth lens and the ninth lens, and improve the optical performance of the peripheral part of the FOV. Preferably, equation 26 can satisfy: <CT8 / CG9<0.5。

[0225] [Formula 27] 1<|L9R1 / CT9|<50

[0226] When Formula 27 satisfies the curvature radius L9R1 of the seventeenth surface S17 of the ninth lens and the thickness CT9 of the ninth lens on the optical axis, the optical system 1000 can control the refractive power of the ninth lens and improve the optical performance of the light at the exit side of the second lens group LG2. Preferably, Formula 27 can satisfy: 1<|L9R1 / CT9|<20.

[0227] [Equation 28] <L9R1 / L10R1<1

[0228] When Formula 28 satisfies the curvature radius L9R1 of the seventeenth surface S17 of the ninth lens and the curvature radius L10R1 of the nineteenth surface S19 of the tenth lens, the shapes and refractive powers of the ninth lens and the tenth 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, Formula 28 can satisfy: <L9R1 / L10R1<0.5。

[0229] [Formula 28-1]0 <L1R1 / L1R2<1

[0230] [Formula 28-2]0 <L2R1 / L2R2<1

[0231] [Formula 28-3]1 <L3R1 / L3R2<1.5

[0232] [Formula 28-4]-5 <L4R1 / L4R2<0

[0233] [Formula 28-5] 0.5 <L5R1 / L5R2<2

[0234] [Equation 28-6] 0.5 ≤ L6R1 / L6R2 < 2

[0235] [Equation 28-7] 0 < L7R1 / L7R2 < 0.5

[0236] [Equation 28-8] -1 < L8R1 / L8R2 < 0

[0237] [Equation 28-9] 0 < L9R1 / L9R2 < 0.5

[0238] [Equation 28-10] 1 < L10R1 / L10R2 < 10

[0239] Equations 28-1 to 28-10 can set the curvature radii (R1, R2) of the object-side surface and the sensor-side surface of each lens, and when these curvature radii are satisfied, the lens size and resolution can be determined. At least one of Equation 27 and Equation 28 can include at least one of the following Equations 28-1 to 28-10, and the resolution of each lens can be determined.

[0240] [Equation 29] 0 < CT_Max / CG_Max < 2

[0241] In Equation 29, CT_max satisfies the maximum thickness of each lens on the optical axis OA in the lens, and CG_max satisfies the maximum value of the air gap or distance on the optical axis between multiple lenses. In this case, the optical system 1000 has good optical performance at the set viewing angle and focal length, and the size of the optical system 1000 can be reduced. For example, TTL can be reduced. Preferably, Equation 29 can satisfy: 0 < CT_Max / CG_Max < 1 or 1 < (CT_Max / CG_Max)*n < 10, where n is the number of lenses. In addition, CT_Max*n > 6 can be satisfied, and CG_Max*n > 15 can be satisfied.

[0242] [Equation 30] 0.5 < ΣCT / ΣCG < 5

[0243] In Equation 30, ∑CT means the sum of the thicknesses (mm) of each of the multiple lenses on the optical axis OA, and ∑CG means the sum of the distances (mm) on the optical axis OA between two adjacent lenses among the multiple lenses. When the optical system 1000 according to the embodiment satisfies Equation 30, the optical system 1000 has good optical performance at the set FOV and focal length, and the size of the optical system 1000 is reduced. For example, TTL can be reduced. Preferably, Equation 30 can satisfy: 1 ≤ ΣCT / ΣCG < 1.8. In addition, 10 < (ΣCT / ΣCG)*n < 18 can be satisfied, where n is the number of lenses. The following formula can be satisfied: ΣCT*n > 35, and ΣCG*n > 29.

[0244] [Equation 31] 10<∑Index<30

[0245] In Formula 31, ∑Index means the sum of the refractive index of each of the plurality of 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 tenth lens can be 1.55 or greater. Preferably, Formula 31 can satisfy: 10<∑Index<20 or 100<(∑Index)*n<200, where n is the number of lenses.

[0246] [Equation 32] 10<∑Abb / ∑Index<50

[0247] In Formula 32, ∑Abbe means 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 lens to the tenth lens may be 50 or less. Preferably, Formula 32 may satisfy: 10<∑Abb / ∑Index<30 or 100<(∑Abb / ∑Index)*n<300, where n is the number of lenses.

[0248] [Formula 33]0<|Max_distortion|<5

[0249] In Formula 33, Max_distortion means the maximum value of the distortion 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 aberration characteristics. Preferably, Formula 33 can satisfy: 1<|Max_distortion|<3.

[0250] [Equation 34] <EG_Max / CT_Max<2

[0251] In Formula 34, CT_max means the thickest thickness (mm) among the thicknesses of each of the plurality of lenses on the optical axis OA, and EG_Max means 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 part of the viewing angle (FOV). Preferably, Formula 34 can satisfy: 1 <EG_Max / CT_Max<1.5。

[0252] [Equation 35] 0.5 <CA_L1S1 / CA_min<2

[0253] In Formula 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 of the first to twentieth surfaces S1 to S20 are satisfied, a thin optical system can be provided while controlling the light incident through the first lens and maintaining optical performance. Preferably, Formula 35 can satisfy: 1 <CA_L1S1 / CA_min<2。

[0254] [Formula 36]1 <CA_max / CA_min<7

[0255] In Formula 36, ​​CA_max means the maximum effective diameter among the object-side surfaces and the sensor-side surfaces of the plurality of lenses, and means the maximum effective diameter among the effective diameters (mm) of the first to twentieth surfaces S1 to S20. When the optical system 1000 according to the embodiment satisfies Formula 36, ​​the optical system 1000 can provide a slim and compact optical system while maintaining optical performance. Preferably, Formula 36 can satisfy: 3 <CA_max / CA_min<5。

[0256] [Formula 37]1 <CA_max / CA_Aver<4

[0257] In Formula 37, the maximum effective diameter (CA_max) and the average effective diameter (CA_Aver) of the object side surface and the sensor side surface of the plurality of lenses are set, and when these are satisfied, a thin and compact optical system can be provided. Preferably, Formula 37 can satisfy: 1.5 <CA_max / CA_AVR<3。

[0258] [Equation 38] 0.1 <CA_min / CA_Aver<1

[0259] In Formula 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 may be set, and when these are satisfied, a thin and compact optical system may be provided. Preferably, Formula 38 may satisfy: 0.1 <CA_min / CA_AVR≤0.8。

[0260] [Equation 39]∑CA*n>900

[0261] 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 number of lenses. When this is satisfied, a slim and compact optical system can be provided.

[0262] [Equation 40] (CA_Max-CA_Min)*n>90

[0263] In Formula 40, the difference between the maximum effective diameter CA_Max and the minimum effective diameter Ca_Min among the effective diameters of the object side surface and the sensor side surface of the plurality of lenses and the number of lenses (n) can be set. Therefore, a slim and compact optical system can be provided by setting the maximum difference in effective diameter according to the number of lenses.

[0264] [Equation 41] 0.1 <CA_max / (2×ImgH)<1.5

[0265] 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) overlapping the optical axis OA of the image sensor 300 to the diagonal end (1.0F) of the image sensor (300) can be set, and when this is satisfied, the optical system 1000 can have good optical performance in the central part and the peripheral part of the FOV and provide a thin and compact optical system. Here, ImgH*n can range from 40mm to 100mm, and n is the number of lenses. Preferably, Formula 41 can satisfy: 0.5≤CA_max / (2*ImgH)<1.

[0266] [Equation 42] 0.1 <TD / CA_max<1.5

[0267] 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 twentieth surface S20 of the tenth lens 110 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: 0.3 <TD / CA_max<1。

[0268] [Formula 43] <F / L10R2<5

[0269] In Formula 43, the total effective focal length F of the optical system 1000 can be set, and the curvature radius L10R2 of the twentieth surface of the tenth lens can be set, and when this is satisfied, the optical system 1000 can reduce the size of the optical system 1000, such as TTL. Preferably, Formula 43 can satisfy: 1 <F / L10R2<5。

[0270] Formula 43 may also include the following formula 43-1.

[0271] [Formula 43-1]1 <F / F#<6

[0272] F# may refer to the F number. Preferably, formula 43-1 may satisfy: 2 <F / F#<5。

[0273] [Formula 43-2]0 <F / L9R2<1

[0274] Formula 43-2 can set the total effective focal length F of the optical system 1000 and the curvature radius L9R2 of the eighteenth surface of the ninth lens. Preferably, Formula 43-2 can satisfy: <F / L9R2<0.5。

[0275] [Formula 44]1 <F / L1R1<10

[0276] In Formula 44, the curvature radius L1R1 of the first surface S1 of the first lens 101 and the total effective focal length F may be set, and when they are satisfied, the size of the optical system 1000 may be reduced, for example, the TTL may be reduced. Preferably, Formula 44 may satisfy: 1 <F / L1R1<5。

[0277] [Formula 45]0 <EPD / L10R2<5

[0278] In Formula 45, EPD means the diameter of the entrance pupil of the optical system 1000 (mm), and L10R2 means the radius of curvature of the twentieth surface S20 of the tenth lens 110 (mm). When the optical system 1000 according to the embodiment satisfies Formula 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, Formula 45 can satisfy: <EPD / L10R2<2。

[0279] Formula 45 may also include the following formula 45-1.

[0280] [Formula 45-1]1 <EPD / F#<3

[0281] [Equation 46] 0.5 <EPD / L1R1<8

[0282] Formula 46 means the relationship between the diameter of the incident 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, Formula 46 can satisfy: 0.5 <EPD / L1R1<2。

[0283] [Formula 47]-3 <F1 / F3<0

[0284] 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。

[0285] [Formula 48]1 <F13 / F<5

[0286] By setting the composite focal length F13 of the first lens to the third lens and the total focal length F in Formula 48, the optical system 1000 can improve the resolution by adjusting the refractive power of the incident light, and the optical system 1000 can control the TTL. Preferably, Formula 48 can satisfy: 1 <F13 / F<3。

[0287] [Formula 49] 3<|F410 / F13|<15

[0288] In Formula 49, the composite focal length F13 of the first lens to the third lens, i.e., the focal length (mm) of the first lens group, and the composite focal length F410 of the fourth lens to the tenth lens, i.e., the focal length of the second lens group, can be set, and when this is satisfied, the resolution 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 provided 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. The above Formula 49 can preferably satisfy: 3<|F410 / F13|<5. Here, F13>0 and F410<0 can be satisfied.

[0289] Formula 49 may satisfy at least one of Formulas 49-1 to 49-10.

[0290] [Formula 49-1]1 <F1 / F<4

[0291] [Formula 49-2]0 <F2 / F<3

[0292] [Formula 49-3]-7 <F3 / F<0

[0293] [Formula 49-4]5 <F4 / F<10

[0294] [Formula 49-5]50 <F5 / F<500

[0295] [Formula 49-6]10 <F6 / F<50

[0296] [Formula 49-7]-5 <F7 / F<0

[0297] [Formula 49-8]-5 <F8 / F<5

[0298] [Formula 49-9]-2 <F3 / F2<0

[0299] In Formulas 49-1 to 49-9, the focal length F1 to F10 of each lens and the total focal length F can be set, and when these are satisfied, the resolution can be improved by controlling the refractive power of each lens, and the optical system can be provided in a slim and compact size.

[0300] [Formula 50] 2mm <TTL<20mm

[0301] In Equation 50, the total track length (TTL) means the distance (mm) on the optical axis OA from the vertex of the first surface S1 of the first lens 101 to the image surface of the image sensor 300. Preferably, Equation 50 can satisfy: 5mm < TTL < 15mm or 50 < TTL*n < 150, where n is the number of lenses. Therefore, a thin and compact optical system can be provided.

[0302] [Equation 51] 2mm < ImgH

[0303] Equation 51 sets the diagonal length (2*ImgH) of the image sensor 300 to be more than 4mm, thereby providing an optical system with high resolution. Equation 51 preferably satisfies: 4mm ≤ ImgH < 12mm or 40 ≤ ImgH*n < 120, where n is the number of lenses.

[0304] [Equation 52] BFL < 2.5mm

[0305] Equation 52 makes BFL less than 2.5mm, thereby ensuring the installation space for the filter 500, improving the assembly of components through the gap between the image sensor 300 and the last lens, and improving the coupling reliability. Equation 52 can preferably satisfy: 0 < BFL < 1.2mm.

[0306] [Equation 53] 2mm < F < 20mm

[0307] In Equation 53, the total focal length F can be set according to the optical system, and the total focal length F can preferably satisfy: 5mm < F < 15mm or 50 < F*n < 150, where n is the number of lenses.

[0308] [Equation 54] FOV < 120 degrees

[0309] In Equation 54, FOV means the field of view of the optical system 1000, and an optical system with less than 120 degrees can be provided. FOV can be greater than 70 degrees, for example, in the range of 70 degrees to 110 degrees.

[0310] [Equation 55] 0.5 < TTL / CA_max < 2

[0311] In Equation 55, by setting the maximum effective diameter CA_max among the object-side surfaces and sensor-side surfaces of the multiple lenses and TTL, a thin and compact optical system can be provided. Preferably, Equation 55 can satisfy: 0.5 < TTL / CA_max < 1.

[0312] [Equation 56] 0.5 < TTL / ImgH < 3

[0313] Formula 56 may set the TTL of the optical system and the diagonal length (ImgH) at 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: 0.8 <TTL / ImgH<2。

[0314] [Equation 57] 0.01 <BFL / ImgH<0.5

[0315] 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 and peripheral parts of the FOV. Preferably, Formula 57 may satisfy: 0.10≤BFL / ImgH≤0.3.

[0316] [Formula 58]5 <TTL / BFL<15

[0317] Formula 58 may set (unit, mm) the total optical axis length TTL of the optical system and the optical axis distance BFL 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 provided as slim and compact. Formula 58 may satisfy: 6 <TTL / BFL<10。

[0318] [Equation 59] 0.5 <F / TTL<1.5

[0319] Formula 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 provided. Formula 59 can preferably satisfy: 0.5 <F / TTL<1.2。

[0320] [Formula 59-1]0 <F# / TTL<0.5

[0321] Equation 59-1 can set the F number F# and TTL of the optical system 1000. Therefore, a slim and compact optical system can be provided.

[0322] [Formula 60]3 <F / BFL<10

[0323] Equation 60 can set the total focal length F (unit: mm) of the optical system 1000 and the back focal length BFL of the image sensor 300 from the optical axis of the last lens. When the optical system 1000 according to the embodiment satisfies Equation 64, the optical system 1000 can have a set FOV, can have an appropriate focal length, and can provide 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 the optical system 1000 can have good optical characteristics in the peripheral part of the FOV. Preferably, Equation 60 can satisfy: 5 < F / BFL < 9.

[0324] [Equation 61] 0.5 < F / ImgH < 3

[0325] Equation 61 can set the total focal length F (mm) of the optical system 1000 and the diagonal length (ImgH) from the optical axis of the image sensor 300. The optical system 1000 can have improved aberration characteristics by applying a relatively large image sensor 300, such as a large image sensor 300 of about 1 inch. Preferably, Equation 61 can satisfy: 0.8 ≤ F / ImgH < 2.

[0326] [Equation 62] 1 < F / EPD < 5

[0327] Equation 62 can set the total focal length F (mm) of the optical system 1000 and the entrance pupil diameter. Therefore, the overall brightness of the optical system can be controlled. Preferably, Equation 62 can satisfy: 1.5 ≤ F / EPD < 4.

[0328] [Equation 63] 0 < BFL / TD < 0.3

[0329] In Equation 63, the back focal length BFL between the image sensor 300 and the last lens and the optical axis distance TD of the lens are set, and when these are satisfied, the optical system 1000 can provide a thin and compact optical system. Preferably, Equation 63 can satisfy: 0 < BFL / TD ≤ 0.2. When BFL / TD exceeds 0.3, the size of the entire optical system increases because BFL is designed to be larger compared to TD, which makes it difficult to miniaturize the optical system, and since the distance between the eleventh lens and the image sensor increases, the amount of unnecessary light may increase through the eleventh lens and the image sensor, and thus, there is a problem of reduced resolution, such as deterioration of aberration characteristics.

[0330] [Equation 64] 0 < EPD / ImgH / FOV < 0.2

[0331] In equation 64, the relationship between the size of the EPD, the length ImgH of 1 / 2 of the maximum diagonal length of the image sensor, and the FOV can be set. Therefore, the overall size and brightness of the optical system can be controlled. Equation 64 can preferably satisfy: <EPD / ImgH / FOV<0.1。

[0332] [Formula 65] 10 <FOV / F#<70

[0333] Equation 65 may set the relationship between the FOV and the F number of the optical system. Equation 65 may preferably satisfy: 30 <FOV / F#<60。

[0334] [Formula 66]0 <n1 / n2<1.5

[0335] When the refractive indices n1 and n2 of the first lens 101 and the second lens 102 at the d line of Formula 66 satisfy the above range, the optical system can improve the resolution of the incident light. Preferably, 0 <n1 / n2<1.2。

[0336] [Formula 67]1 <n3 / n1<1.5

[0337] When the refractive indices n1 and n3 of the first lens 101 and the third lens 103 in Formula 67 satisfy the above range, the optical system can improve the resolution of the incident light of the second lens group LG2. Preferably, Formula 67 can satisfy: <n3 / n4<1.2。

[0338] [Formula 68]2<(CA_L10S2 / CA_L3S2) / (CA_L1S1 / CA_L3S2)<5

[0339] Equation 68 sets the minimum effective diameter (CA_L3S2) and the maximum effective diameter (CA_L10S2) of the lens and the effective diameters (CA_L1S1, CA_L3S2) on both sides of the first lens group to effectively guide incident light and control chromatic aberration.

[0340] [Formula 69] <Inf91 / Inf92<1.5

[0341] In Formula 69, the distance (Inf91) from the optical axis to the critical point of the object side surface of the ninth lens and the distance (Inf92) from the optical axis to the critical point of the sensor side surface may be set. Formula 69 may satisfy: 0.5 <Inf91 / Inf92<1.5。

[0342] [Formula 70]0 <Inf91 / Inf102<1.5

[0343] In Formula 70, a distance (Inf91) from the optical axis OA to a critical point of the object side surface of the ninth lens 109 and a distance (Inf102) from the optical axis OA to a critical point of the sensor side surface S20 of the tenth lens 110 can be set, and when this is satisfied, satisfactory aberrations of the ninth lens and the tenth lens can be controlled. Formula 70 can satisfy: 0.5 <Inf91 / Inf102<1.5。

[0344] [Formula 71] <Inf92 / Inf102<1

[0345] In Formula 71, the distance (Inf92) from the optical axis OA to the critical point of the sensor side surface S18 of the ninth lens 109 and the distance (Inf102) from the optical axis OA to the critical point of the sensor side surface S20 of the tenth lens 110 can be set, and when this is satisfied, satisfactory aberrations of the ninth lens and the tenth lens can be controlled. Formula 71 can satisfy: 0.5 <Inf92 / Inf102<1。

[0346] [Formula 72] <Inf91 / semi-Aperture_L9S1<1

[0347] In Formula 72, the distance (Inf91) from the optical axis OA to the critical point of the object side surface of the ninth lens 109 and the effective radius (semi-Aperture_L9S1) of the object side surface of the ninth lens can be set, and when this is satisfied, a satisfactory aberration of the object side surface of the ninth lens can be controlled. Formula 72 can satisfy: 0.2 <Inf91 / semi-Aperture_L9S1<0.8。

[0348] [Formula 73] <Inf92 / semi-Aperture_L9S2<1

[0349] In Formula 73, the distance (Inf92) from the optical axis OA to the critical point of the sensor side surface of the ninth lens 109 and the effective radius (semi-Aperture_L9S2) of the sensor side surface of the ninth lens can be set, and when this is satisfied, a satisfactory aberration of the sensor side surface of the ninth lens can be controlled. Formula 73 can satisfy: 0.1 <Inf92 / semi-Aperture_L9S2<0.7。

[0350] [Formula 74]0 <Inf101 / semi-Aperture_L10S1<0.9

[0351] In Formula 74, the distance (Inf101) from the optical axis OA to the critical point of the object side surface of the tenth lens 110 and the effective radius (semi-Aperture_L10S1) of the object side surface of the tenth lens can be set, and when this is satisfied, a satisfactory aberration of the object side surface of the tenth lens can be controlled. Formula 74 can satisfy: <Inf101 / semi-Aperture_L10S1<0.5。

[0352] [Formula 75]0 <Inf102 / semi-Aperture_L10S2<0.9

[0353] In Formula 75, the distance (Inf102) from the optical axis OA to the critical point of the sensor side surface of the tenth lens and the effective radius (semi-Aperture_L10S2) of the sensor side surface of the tenth lens can be set, and when this is satisfied, a satisfactory aberration of the sensor side surface of the lens can be controlled. Formula 75 can satisfy: <Inf102 / semi-Aperture_L10S2<0.7。

[0354] [Formula 76]0<|Max_Sag91| / semi-Aperture_L9S1<0.8

[0355] In Formula 76, the maximum height (Max_Sag91) of the seventeenth surface S17 from the straight line orthogonal to the center of the object side surface of the ninth lens 109 and the effective radius of the seventeenth surface S17 can be set, and when this is satisfied, the satisfactory aberration of the seventeenth surface of the ninth lens can be controlled. Preferably, Formula 76 can satisfy: 0<|Max_Sag91| / semi-Aperture_L9S1<0.5.

[0356] [Formula 77]0<|Max_Sag102| / semi-Aperture_L10S2<0.8

[0357] In Formula 77, the maximum height Max_Sag102 of the twentieth surface from the straight line orthogonal to the center of the twentieth surface on the sensor side of the tenth lens and the effective radius of the twentieth surface can be set, and when this is satisfied, the satisfactory aberration of the twentieth surface of the tenth lens can be controlled. Preferably, Formula 80 can satisfy: 0<|Max_Sag102| / semi-Aperture_L10S2<0.6.

[0358] [Formula 78]

[0359]

[0360] In Formula 78, Z is Sag and may mean 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 mean the distance from any position on the aspherical surface to the optical axis in a direction perpendicular to the optical axis. c may mean the curvature of the lens, and K may mean a cone constant. In addition, A, B, C, D, E, and F may mean aspherical constants.

[0361] The optical system 1000 according to the embodiment may satisfy at least one or two or more of equations 1 to 77. 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 78, the optical system 1000 has improved resolution, and aberration 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, thereby having 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 78, the optical system 1000 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.

[0362] 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.

[0363] Figure 3 Is based on having Figure 1 An example of lens data of a first embodiment of the optical system, and Fig.11 Is based on having Fig.10 An example of lens data of the second embodiment of the optical system.

[0364] like Figure 3 and Fig.11 As shown, the optical system according to the first embodiment and the second embodiment has the radius of curvature on the optical axis OA, the lens thickness CT, the distance CG between the lenses, the refractive index at the d line (588nm), the Abbe number, the effective radius (semi-aperture), and the focal length of the first lens 101 to the tenth lens 110. In the absolute value of the focal length, the focal length of the fifth lens 105 is the largest, and the focal length of any one of the ninth lens 109 and the tenth lens 110 is the smallest, and can be smaller than the focal length of the second lens and the focal length of the third lens.

[0365] like Figure 4 and Fig.12As shown, the lens surface of at least one or two of the plurality of lenses in the first embodiment and the second embodiment may include an aspheric surface having a 30th order aspheric coefficient. For example, the first to tenth lenses 101, 102, 103, 104, 105, 106, 107, 108, 109, and 110 may include lens surfaces having a 30th order aspheric coefficient from the first surface S1 to the twentieth surface S20. As described above, the aspheric surface having a 30th order aspheric coefficient (a value other than "0") can particularly greatly change the aspheric shape of the peripheral portion, so that the optical performance of the peripheral portion of the FOV can be well corrected.

[0366] like Figure 5 and Fig.12 As shown, the first to tenth thicknesses T1 to T10 of the first to tenth lenses 101 to 110 may be expressed as a distance of 0.1 mm or more in the direction Y from the center to the edge of each lens, and the distance between adjacent lenses may be expressed by a distance of 0.1 mm or more in the direction from the center to the edge relative to the following distances: a first distance G1 between the first lens and the second lens, a second distance G2 between the second lens and the third lens, a third distance G3 between the third lens and the fourth lens, a fourth distance G4 between the fourth lens and the fifth lens, a fifth distance G5 between the fifth lens and the sixth lens, a sixth distance G6 between the sixth lens and the seventh lens, a seventh distance G7 between the seventh lens and the eighth lens, an eighth distance G8 between the eighth lens and the ninth lens, and a ninth distance G9 between the ninth lens and the tenth lens. The center distance of the ninth distance G9 may be the largest, and the center thickness of the ninth lens 109 may be the largest among the center thicknesses. The optical system may be provided in a slim and compact size by using the first to eighth thicknesses T1 to T8 and the first to seventh distances G1 to G7.

[0367] Figure 6 and Fig.14 It is possible to indicate the Sag value of the object-side surface L7S1 and the sensor-side surface L7S2 of the seventh lens 107 according to the first and second embodiments of the present invention, the Sag value of the object-side surface L8S1 and the sensor-side surface L8S2 of the eighth lens 108, the Sag value of the object-side surface L9S1 and the sensor-side surface L9S2 of the ninth lens 109, and the Sag value of the object-side surface L10S1 and the sensor-side surface L10S2 of the tenth lens 110. The Sag value may be expressed as a height (Sag value) of a lens surface at a distance of 0.1 or more from a straight line perpendicular to the center of each lens surface in the Y-axis direction. Fig. 9 and Fig.17 It is shown Figure 6 and Fig.14A graph showing the Sag values ​​of the object side surface and the sensor side surface of the ninth lens and the Sag values ​​of the object side surface and the sensor side surface of the tenth lens disclosed in FIG. Figure 6 , Fig.11 , Fig.14 and Fig.17 As shown, the object side surface L9S1 and the sensor side surface L9S2 of the ninth lens 109 have a critical point at 3 mm or less, for example, 2.5 mm or less from the optical axis, and it can be seen that the Sag value of the sensor side surface L9S1 in the sensor side direction is greater than the Sag value of the object side surface L9S2. In addition, the object side surface of the tenth lens has a critical point at 1 mm or less, and the sensor side surface of the tenth lens may have a height of the Sag value greater than the height of the Sag value of L9S1 in the sensor side direction, and may have a critical point closest to the optical axis ( Figure 2 in P2).

[0368] Therefore, if Figure 7 and Figure 8 as well as Fig.15 and Fig.16 As shown, the optical system 1000 according to the first embodiment and the second embodiment can have good optical performance in the central part and the peripheral part of the FOV, and can have excellent optical characteristics.

[0369] Figure 7 yes Figure 1 A graph of the diffraction MTF characteristics of the optical system 1000 is shown in FIG. Figure 8 yes Figure 1 The aberration characteristics of the optical system are shown in the curve table. Fig.15 yes Fig.10 A graph of the diffraction MTF characteristics of the optical system 1000, and Fig.16 yes Fig.10 A graph showing the aberration characteristics of an optical system.

[0370] The graph is in Figure 7 and Fig.15 The aberration graph of the image shows the spherical aberration, astigmatism field curve and distortion measured from left to right. Figure 8 and Fig.16 In , the X-axis may mean focal length (mm) and distortion (%), and the Y-axis may mean the height of the image. In addition, the graph of spherical aberration is a graph of light in wavelength bands of about 470nm, about 510nm, about 555nm, about 610nm, and about 650nm, and the graph of astigmatism and distortion is a graph of light in a wavelength band of 555nm. Figure 8 and Fig.16 In the aberration diagram of , it can be interpreted that as each curve approaches the Y axis, the aberration correction function becomes better. Figure 8 and Fig.16 , in the optical system 1000 according to the embodiment, it can be seen that the measured values ​​are 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 at the central part of the FOV but also at the peripheral part. As confirmed by the above embodiments, the lens system according to embodiments 1 and 2 of the present invention has a lens configuration of 9 or more, for example, 10 lenses, and is compact and lightweight, while spherical aberration, astigmatism, distortion aberration, chromatic aberration and coma aberration are all good. Since the lens system can be calibrated and implemented with high resolution, the lens system can be used by being embedded in the optical device of the camera device.

[0371] Table 1 relates to the terms of the above-mentioned formula in the optical system 1000 according to the first embodiment and the second embodiment, and relates to the total track length (TTL), 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 tenth lens (F1, F2, F3, F4, F5, F6, F7, F8, F9, F10), the edge thickness, the edge distance, the composite focal length, the distance to the critical point (Inf91, Inf92, Inf101, Inf102), etc.

[0372] [Table 1]

[0373] item Implementation Method 1 Implementation Method 2 item Implementation Method 1 Implementation Method 2 F 6.821 7.846 ET1 0.2561 0.252 F1 14.691 13.398 ET2 0.2498 0.250 F2 13.074 12.452 ET3 0.3019 0.323 F3 -27.919 -24.170 ET4 0.2502 0.250 F4 57.733 79.208 ET5 0.2622 0.251 F5 2118.462 -1387.194 ET6 0.2518 0.250 F6 263.035 14458.871 ET7 0.3014 0.286 F7 -18.864 -20.587 ET8 0.3209 0.278 F8 -22.151 -62.382 ET9 0.2515 0.250 F9 5.637 8.333 ET10 0.4425 0.250 F10 -5.722 -6.373 EG1 0.3153 0.451 F13 8.946 8.946 EG2 0.1879 0.221 F410 -37.515 -37.515 EG3 0.0501 0.050 Inf91 1.8 1.6 EG4 0.0515 0.051 Inf92 1.9 1.1 EG5 0.2048 0.251 Inf101 0.6 0.5 EG6 0.0627 0.051 Inf102 2.2 1.6 EG7 0.1615 0.050 FOV 49.0000 90.000 EG8 0.2217 0.062 EPD 3.5038 4.000 EG9 0.9129 1.189 BFL 1.0333 1.061 ∑Index 15.900 15.995 TD 7.5500 7.739 ∑Abbe 405.262 387.058 Ih 8.0002 8.000 ∑CT 3.936 4.006 SD 6.2727 6.814 ∑CG 3.351 3.469 F# 1.947 1.962 CA_Max 13.114 12.657 TTL 8.320 8.800 CA_Min 2.920 3.200 CT_Max 0.654 0.654 CA_Aver 5.492 5.519

[0374] Table 2 is the above formula 1 to formula 40 in Figure 1 Result value 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 Formulas 1 to 40. Specifically, it can be seen that the optical system 1000 according to the embodiment satisfies all of the above Formulas 1 to 40. Therefore, the optical system 1000 can improve the optical performance and optical characteristics of the central part and the peripheral part of the FOV.

[0375] [Table 2]

[0376]

[0377]

[0378] Table 3 shows that equations 41 to 78 Figure 1Result value 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 78. Specifically, it can be seen that the optical system 1000 according to the embodiment satisfies all of the above equations 1 to 78. Therefore, the optical system 1000 can improve the optical performance and optical characteristics of the central part and the peripheral part of the FOV.

[0379] [Table 3]

[0380]

[0381]

[0382] Fig.18 2 is a diagram showing that a camera module according to an embodiment is applied to a mobile terminal. Fig.18 , the mobile terminal 1 may include a camera module 10 provided on the rear side. The camera module 10 may include an image capture function. In addition, the camera module 10 may include at least one of an auto focus function, a zoom function, and an OIS function.

[0383] The camera module 10 may 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 may be displayed on a display unit (not shown) of the mobile terminal 1 and may be stored in a memory (not shown). In addition, although not shown in the figure, the camera module may also be provided on the front side of the mobile terminal 1.

[0384] 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.

[0385] 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 a situation where the automatic focusing function of the image using the camera module 10 is degraded (for example, a proximity of 10m or less or 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 is, 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.

[0386] The features, structures, effects, etc. described in the above 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 of each embodiment relative to other embodiments. Therefore, the contents related to these combinations and variations should be interpreted as being 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 possible without departing from the basic characteristics of the embodiments. For example, each component specifically shown in the embodiments 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 tenth lenses arranged along the optical axis in a direction from the object side to the sensor side, wherein the first lens has a positive (+) refractive power and a convex shape on the 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, wherein the number of meniscus lenses convex toward the object side on the optical axis among the first to tenth lenses is four or more, Among them, the sensor side surface of the ninth lens has a critical point, wherein the object-side surface of the tenth lens has a critical point, and Among them, the critical point of the object-side surface of the tenth lens is arranged closer to the optical axis than the critical point of the sensor-side surface of the ninth lens.

2. The optical system according to claim 1, in, The sensor-side surface of the ninth lens has a critical point, Among them, the sensor side surface of the tenth lens has a critical point, Among them, the critical point of the object-side surface of the tenth lens is arranged closer to the optical axis than the critical point of the sensor-side surface of the ninth lens and the critical point of the sensor-side surface of the tenth lens.

3. The optical system according to claim 1, in, The refractive index of the first lens satisfies: 1.50 <n1<1.6, Among them, the refractive index of the second lens satisfies: 1.50 <n2<1.6, Among them, the refractive index n3 of the third lens satisfies the following formula: 16 <n3*n, Where n is the number of lenses.

4. The optical system according to claim 1, in, The first lens, the second lens, and the third lens have a meniscus shape that is convex toward the object side on the optical axis.

5. The optical system according to claim 4, in, The ninth lens and the tenth lens have a meniscus shape that is convex toward the object side on the optical axis.

6. The 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 tenth lenses satisfy the following equation: 0.1 <CA_max / (2*ImgH)<1.5, Where ImgH is 1 / 2 of the maximum diagonal length of the image sensor.

7. An optical system according to any one of claims 1 to 5, in, The sensor-side surface of the tenth lens has the largest effective diameter (CA_max) among the object-side surfaces and the sensor-side surfaces of the first to tenth lenses, and satisfies the following formula: 0.1 <TTL / CA_max<2, Here, TTL is the optical axis distance from the object-side surface of the first lens to the image surface of the image sensor.

8. An optical system according to any one of claims 1 to 5, in, The sum of the effective diameters of the object-side surface and the sensor-side surface of the first to tenth lenses (∑CA) satisfies the following equation: ∑CA*n>900, Where n is the total number of lenses.

9. The optical system according to any one of claims 1 to 5, in, The minimum effective diameter CA_Min and the maximum effective diameter CA_Max among the effective diameters of the object-side surface and the sensor-side surface of the first to tenth lenses satisfy the following formula: (CA_Max-CA_Min)*n>90, Where n is the total number of lenses.

10. The optical system according to claim 4 or 5, in, The effective diameter of the object-side surface of the first lens is CA_L1S1, Among them, the effective diameter of the object side surface of the third lens is CA_L3S1, Among them, the effective diameter of the sensor side surface of the fourth lens is CA_L4S2, Wherein, the effective diameter of the sensor-side surface of the tenth lens is CA_L10S2, and Among them, the following formula is satisfied: 1 <CA_L1S1 / CA_L3S1<1.5, 1 <CA_L10S2 / CA_L4S2<5。 11. An optical system comprising: a first lens group having first to third lenses aligned along an optical axis on an object side; a second lens group having W lenses (where W is an integer of 5 or more) aligned along the optical axis on the sensor side of the third lens; and an aperture stop provided around a sensor-side surface of any one of the first to third lenses, wherein a sensor-side surface of the third lens faces an object-side surface of the fourth lens, wherein the sensor-side surface of the third lens has a concave shape on the optical axis, wherein an object-side surface of the fourth lens has a convex shape on the optical axis, wherein the first to third lenses have a meniscus shape convex toward the object side 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 wherein effective diameters of an object-side surface and a sensor-side surface of each of the lenses of the second lens group gradually increase from the object side toward the sensor side.

12. The optical system according to claim 11, in, The refractive index of the third lens is n3, The refractive index of the fifth lens which is the fifth lens from the object side is n5, The refractive index of the seventh lens, which is the seventh lens from the object side, is n7, and satisfies the following formula: 16<(n3*n), 16 <n5*n, 16 <n7*n, Where n is the total number of lenses.

13. The optical system according to claim 11, in, The center thickness of the first lens is CT1, Among them, the center thickness of the last lens is CT10, and Among them, the following formula is satisfied: 10≤(CT1 / CT10)*n<30, Where n is the total number of lenses.

14. The optical system according to claim 13, in, The center thickness of the n-1th lens is CT9, Among them, the center thickness of the last lens is CT10, Among them, the following formula is satisfied: 10<(CT9 / CT10)*n<30.

15. An optical system according to any one of claims 11 to 14, in, The second lens group includes fourth to tenth lenses, 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 tenth lens is F410, and wherein the following formula is satisfied: 3<|F410 / F13|<15.

16. An optical system according to any one of claims 11 to 14, in, The effective radius of the object-side surface of the first lens is CA_L1S1, Wherein, the effective radius of the object side surface of the third lens is CA_L3S1, and Wherein, the following equation is satisfied: 1≤(CA_L1S1 / CA_L3S1)*n≤1.5, Where n is the total number of lenses.

17. An optical system according to any one of claims 11 to 14, in, The second lens group includes fourth to tenth lenses, Among them, the effective radius of the sensor side surface of the fourth lens is CA_L4S2, Wherein, the effective radius of the sensor side surface of the tenth lens is CA_L10S1, and Wherein, the following equation is satisfied: 30<(CA_L10S2 / CA_L4S2)*n<50, Where n is the total number of lenses.

18. The optical system according to claim 17, in, The center thickness of the ninth lens is CT9. Among them, the optical axis distance between the ninth lens and the tenth lens is CG9. Among them, the following formula is satisfied: 1<(CT9 / CG9)*n<5.

19. An optical system according to any one of claims 11 to 14, in, The maximum center thickness of the lens is CT_Max, Among them, the maximum distance between the lenses on the optical axis is CG_Max, Among them, the following formula is satisfied: 1<(CT_Max / CG_Max)*n<10, CT_Max*n>6, CG_Max*n>15, Here, n is the number of lenses.

20. An optical system according to any one of claims 11 to 14, in, The sum of the center thicknesses of the lenses is ∑CT, and the sum of the optical axis distances between two adjacent lenses is ∑CG, and Among them, the following formula is satisfied: 10<(ΣCT / ΣCG)*n<18, Where n is the total number of lenses.

21. A camera module, comprising: Image sensor; as well as a filter disposed between the image sensor and the last lens, wherein the optical system comprises the optical system according to claim 1 or 11, Among them, the following formula is satisfied: 0.5 <F / TTL<1.5, 0.5 <TTL / ImgH<3, 40≤ImgH*n≤100, (F is the total focal length, 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, and ImgH is 1 / 2 of the maximum diagonal length of the image sensor, where n is the number of lenses).

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