KR20230172309A - Optical system and camera module including the same - Google Patents

Abstract

The optical system disclosed in the embodiment includes first to ninth lenses disposed along an optical axis in the direction from the object side to the sensor side, the first lens has positive refractive power at the optical axis, and the second lens The third lens has a positive (+) refractive power at the optical axis, the fourth lens has a positive (+) refractive power at the optical axis, and the ninth lens has a positive (+) refractive power at the optical axis. has a negative refractive power at the optical axis, the first lens has a meniscus shape that is convex from the optical axis to the object side, and the ninth lens has a concave shape on the object side of the optical axis and a concave shape on the sensor side. and can satisfy the equation 0.2< L1_CT / (L2_CT + L3_CT) < 2 (L1_CT is the thickness at the optical axis of the first lens, L2_CT is the thickness at the optical axis of the second lens, and L3_CT is It is the thickness at the optical axis of the third lens).

Description

Optical system and camera module including the same {OPTICAL SYSTEM AND CAMERA MODULE INCLUDING THE SAME}

The embodiment relates to an optical system for improved optical performance and a camera module including the same.

Camera modules perform the function of photographing objects and saving them as images or videos, and are installed in various applications. In particular, the camera module is manufactured in an ultra-small size and is applied to not only portable devices such as smartphones, tablet PCs, and laptops, but also drones and vehicles, providing various functions.

For example, the optical system of the camera module may include an imaging lens that forms an image, and an image sensor that converts the formed image into an electrical signal. At this time, the camera module can perform an autofocus (AF) function that automatically adjusts the distance between the image sensor and the imaging lens to align the focal length of the lens, and can focus on distant objects through a zoom lens. The zooming function of zoom up or zoom out can be performed by increasing or decreasing the magnification of the camera. In addition, the camera module adopts image stabilization (IS) technology to correct or prevent image shake caused by camera movement due to an unstable fixation device or the user's movement.

The most important element for this camera module to obtain an image is the imaging lens that forms the image. Recently, interest in high resolution has been increasing, and research is being conducted on optical systems including multiple lenses to realize this. For example, to realize high resolution, research is being conducted using a plurality of imaging lenses with positive (+) or negative (-) refractive power.

However, when a plurality of lenses are included, there is a problem in that it is difficult to obtain excellent optical and aberration characteristics. In addition, when a plurality of lenses are included, the overall length, height, etc. may increase depending on the thickness, spacing, and size of the plurality of lenses, which increases the overall size of the module including the plurality of lenses. There is.

In addition, the size of image sensors is increasing to realize high resolution and high image quality. However, when the size of the image sensor increases, the total track length (TTL) of the optical system including a plurality of lenses also increases, which causes the thickness of cameras and mobile terminals including the optical system to also increase.

Therefore, a new optical system that can solve the above-mentioned problems is required.

The embodiment seeks to provide an optical system with improved optical characteristics.

The embodiment seeks to provide an optical system with excellent optical performance at the center and periphery of the angle of view.

The embodiment seeks to provide an optical system that can have a slim structure.

The optical system according to an embodiment of the invention includes first to ninth lenses disposed along an optical axis in the direction from the object side to the sensor side, wherein the first lens has positive refractive power at the optical axis, and the second lens The lens has a negative (-) refractive power at the optical axis, the third lens has a positive (+) refractive power at the optical axis, the fourth lens has a positive (+) refractive power at the optical axis, and the third lens has a positive (+) refractive power at the optical axis. 9 Lens has a negative refractive power at the optical axis, the first lens has a meniscus shape that is convex from the optical axis to the object side, and the ninth lens has a concave shape on the object side of the optical axis and a sensor side surface. It has a concave shape,

Equation: 0.2 < L1_CT / (L2_CT + L3_CT) < 2 can be satisfied (L1_CT is the thickness at the optical axis of the first lens, L2_CT is the thickness at the optical axis of the second lens, and L3_CT is the thickness of the third lens It is the thickness at the optical axis of the lens).

According to an embodiment of the invention, the third lens has a convex shape on the object side of the optical axis, the fourth lens has a convex shape on the sensor side of the optical axis, and the sixth lens has a convex shape on the sensor side of the optical axis. It can have a shape.

According to an embodiment of the invention, the object-side surface and the sensor-side surface of the first to fourth lenses are provided without critical points from the optical axis to the end of the effective area, and the object-side surface and the sensor-side surface of the eighth lens are at least There can be one critical point.

According to an embodiment of the invention, the object-side surface of the ninth lens is provided without a critical point from the optical axis to the end of the effective area, and the sensor-side surface of the ninth lens is greater than the sensor-side critical point of the eighth lens based on the optical axis. It may have a critical point placed further outward.

According to an embodiment of the invention, the relationship between the optical axis distance (BFL) from the image surface of the image sensor to the sensor side of the last lens and the Imgh may satisfy the equation 0.01 < BFL / ImgH < 0.5.

According to an embodiment of the invention, the focal lengths of the first, second, and third lenses may satisfy the equations f2 < 0 and f23 < 0 (f2 is the focal length of the second lens, and f23 is the focal length of the second and third lenses. is the composite focal length of).

According to an embodiment of the invention, the focal lengths of the first, second and third lenses may satisfy the equations: 0 < f13 < 20 and -5 < f13/f2 < 0 (f13 is the composite focus of the first and third lenses) distance, and f2 is the focal length of the second lens).

According to an embodiment of the invention, the relationship between the total focal length (F) and the composite focal length (f13) of the first to third lenses may satisfy the equation: 0.1 < f13 / F < 3.

According to an embodiment of the invention, the distance between the lenses on the optical axis of the first to ninth lenses and the center thickness of each lens satisfy the equation: 0 < Air_ET_Max/L_CT_Max < 2 (where Air_ET_Max is the difference between two adjacent lenses) (L_CT_Max is the maximum value of the optical axis spacing between lenses, and L_CT_Max is the maximum value of the thickness at the optical axis of each lens), and the relationship between the maximum effective diameter and minimum effective diameter among the first to ninth lenses is equation: 1 < CA_Max / CA_Min < 5 can be satisfied (CA_Max is the maximum value of the effective diameter of the object side and sensor side of the first to ninth lenses, and CA_Min is the maximum value of the object side and sensor side of the first to ninth lenses. It is the minimum value among the effective diameters).

According to an embodiment of the invention, the object side surface of the ninth lens has the equation: 30 < |L9S1_max slope| <60 can be satisfied (L9S1 represents the maximum value of the tangential angle measured on the object side of the 9th lens).

An optical system according to an embodiment of the invention includes a first lens group having a plurality of lenses on an object side; and a second lens group having a plurality of lenses on a sensor side of the first lens group, wherein the first lens group has positive refractive power at the optical axis, and the second lens group has a positive refractive power at the optical axis. It has negative refractive power, the number of lenses in the second lens group is greater than the number of lenses in the first lens group, and the object-side surface of the lens closest to the second lens group among the first lens group is the effective diameter. The size is the minimum, and among the lens surfaces of the second lens group, the sensor side closest to the image sensor has the maximum effective diameter, and at least four of the lenses in the first and second lens groups have positive refractive power. and can satisfy the following equation.

Equation: 0.5 < TTL / ImgH < 3

Equation: 0.01 < BFL / ImgH < 0.5

(TTL (Total track length) is the distance on the optical axis from the vertex of the object side of the first lens group to the image surface of the image sensor, ImgH is 1/2 of the maximum diagonal length of the image sensor, and the BFL is It is the optical axis distance from the image sensor to the sensor side closest to the image sensor)

According to an embodiment of the invention, when the focal lengths of each of the first and second lens groups are expressed as absolute values, the focal length of the first lens group may be smaller than the focal length of the second lens group.

According to an embodiment of the invention, the first lens group includes a first lens to a third lens aligned on an optical axis from the object side toward the sensor, and the second lens group includes a first lens to a third lens aligned on an optical axis from the object side toward the sensor. It includes 4 lenses to 9th lenses, and the average effective diameter size of the third lens is the minimum among the first to 9th lenses, and the average effective diameter size of the 9th lens may be the largest among the first to 9th lenses. there is.

According to an embodiment of the invention, both the object-side surface and the sensor-side surface of the eighth lens have critical points, and the object-side critical point of the eighth lens is 54 degrees of the distance from the optical axis of the eighth lens to the end of the effective area. It is located in the range of % to 64%, and the critical point on the sensor side of the eighth lens may be located in the range of 33% to 43% of the distance from the optical axis of the eighth lens to the end of the effective area.

According to an embodiment of the invention, the object-side surface and sensor-side surface of each lens in the first lens group may be provided without a critical point.

According to an embodiment of the invention, the center thickness of each lens and the center distance between adjacent lenses may satisfy the equation: 0.5 < ΣL_CT / ΣAir_CT < 2 (ΣL_CT is the thickness at the optical axis of the first to ninth lenses ΣAIR_CT is the sum of the intervals on the optical axis between the first to ninth lenses).

According to an embodiment of the invention, the equation may further include: 0.1 < CA_max / (2*ImgH) < 1 (CA_max is the largest of the object side and sensor side of the lenses in the first and second lens groups. means a large effective diameter).

A camera module according to an embodiment of the invention includes an image sensor; and a filter between the image sensor and the last lens of the optical system, wherein the optical system includes the optical system according to any one of claims 1 and 11, and satisfies the following equation.

Equation: 1 ≤ F / EPD < 5

(F is the total focal length of the optical system, and EPD is the Entrance Pupil Diameter of the optical system.)

The optical system and camera module according to the embodiment may have improved optical characteristics. In detail, the optical system can have improved aberration characteristics and resolution as the plurality of lenses have set surface shapes, refractive power, thickness, and spacing between adjacent lenses.

The optical system and camera module according to the embodiment may have improved distortion and aberration control characteristics and may have good optical performance even in the center and periphery of the field of view (FOV).

The optical system according to the embodiment may have improved optical characteristics and a small TTL (Total Track Length), so the optical system and the camera module including the same may be provided in a slim and compact structure.

1 is a configuration diagram of an optical system according to a first embodiment.
FIG. 2 is an explanatory diagram showing the relationship between an image sensor, an n-th lens, and an n-1-th lens in the optical system of FIG. 1.
Figure 3 shows data on the gap between two adjacent lenses in the optical system of Figure 1.
FIG. 4 shows data on the aspheric coefficient of each lens surface in the optical system of FIG. 1.
FIG. 5 is a graph of the diffraction MTF (Diffraction MTF) of the optical system of FIG. 1.
FIG. 6 is a graph showing the aberration characteristics of the optical system of FIG. 1.
FIG. 7 is a graph showing the height in the optical axis direction according to the distance in the first direction (Y) with respect to the object side surface and the sensor side in the nth lens and n-1th lens of the optical system of FIG. 2.
Figure 8 is a configuration diagram of an optical system according to the second embodiment.
FIG. 9 shows data on the gap between two adjacent lenses in the optical system of FIG. 8.
FIG. 10 shows data on the aspheric coefficient of each lens surface in the optical system of FIG. 8.
FIG. 11 is a graph of the diffraction MTF (Diffraction MTF) of the optical system of FIG. 8.
FIG. 12 is a graph showing the aberration characteristics of the optical system of FIG. 8.
FIG. 13 is a graph showing the height in the optical axis direction according to the distance in the first direction (Y) with respect to the object side surface and the sensor side in the nth lens and n-1th lens of the optical system of FIG. 8.
FIG. 14 is a graph showing an imaginary line connecting the ends of the effective areas of the lenses of the optical systems of FIGS. 1 and 8.
Figure 15 is a diagram showing a camera module according to an embodiment applied to a mobile terminal.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the attached drawings. The technical idea of the present invention is not limited to some of the described embodiments, but can be implemented in various different forms, and one or more of the components between the embodiments can be selectively combined as long as it is within the scope of the technical idea of the present invention. , can be used as a replacement. In addition, terms (including technical and scientific terms) used in the embodiments of the present invention, unless explicitly specifically defined and described, are generally understood by those skilled in the art to which the present invention pertains. It can be interpreted as meaning, and the meaning of commonly used terms, such as terms defined in a dictionary, can be interpreted by considering the contextual meaning of the related technology.

The terms used in the embodiments of the present invention are for describing the embodiments and are not intended to limit the present invention. In this specification, the singular may also include the plural unless specifically stated in the phrase, and when described as "at least one (or more than one) of A and B and C", it is combined with A, B, and C. It can contain one or more of all possible combinations. Additionally, when describing the components of an embodiment of the present invention, terms such as first, second, A, B, (a), and (b) may be used. These terms are only used to distinguish the component from other components, and are not limited to the essence, sequence, or order of the component. And, when a component is described as being 'connected', 'coupled' or 'connected' to another component, the component is not only directly connected, coupled or connected to the other component, but also is connected to the other component. It may also include cases where other components are 'connected', 'coupled', or 'connected' by another component between them. Additionally, when described as being formed or disposed "above" or "below" each component, "above" or "below" refers not only to cases where two components are in direct contact with each other, but also to one This also includes cases where another component described above is formed or placed between two components. In addition, when expressed as "top (above) or bottom (bottom)", it can include not only the upward direction but also the downward direction based on one component.

In the description of the invention, "object side" may refer to the side of the lens facing the object side based on the optical axis (OA), and "sensor side" may refer to the side of the lens facing the imaging surface (image sensor) based on the optical axis. It can refer to the surface of the lens. That one side of the lens is convex may mean a convex shape in the optical axis or paraxial region, and that one side of the lens is concave may mean a concave shape in the optical axis or paraxial region. The radius of curvature, center thickness, and spacing between lenses listed in the table for lens data may refer to values at the optical axis. The vertical direction may mean a direction perpendicular to the optical axis, and the end of the lens or lens surface may mean the end of the effective area of the lens through which incident light passes. The size of the effective diameter of the lens surface may have a measurement error of up to ±0.4 mm depending on the measurement method. The paraxial area refers to a very narrow area near the optical axis, and is an area where the distance at which light rays fall from the optical axis (OA) is almost zero. Hereinafter, the concave or convex shape of the lens surface is described as the optical axis, and may also include the paraxial region.

1 and 8, the optical system 1000 according to the first and second embodiments of the invention may include a plurality of lens groups. In detail, each of the plurality of lens groups includes at least one lens. For example, the optical system 1000 may include a first lens group G1 and a second lens group G2 sequentially arranged along the optical axis OA from the object side toward the image sensor 300. . Here, the first lens group (G1) is a lens that is located on the object side and refracts the traveling light in the optical axis direction through the lenses, and the second lens group (G2) is emitted through the first lens group (G1). The light can be refracted so that it can spread to the periphery of the image sensor 300.

The first lens group G1 may include at least one lens. The first lens group G1 may include four or fewer lenses. For example, the first lens group G1 may include three lenses. The second lens group (G2) may include at least two or more lenses and may include 1.5 times as many lenses as the lenses of the first lens group (G1). The second lens group G2 may include 7 or fewer lenses. The number of lenses of the second lens group (G2) may be 3 or more and 4 or less different than the number of lenses of the first lens group (G1). For example, the second lens group G2 may include 6 lenses.

The object-side and sensor-side surfaces of all lenses of the first lens group (G1) can be provided without critical points. In the optical system 1000, at least one or both of the object side and the sensor side of the nth and n-1th lenses may have at least one critical point. Here, n is the lens closest to the image sensor 300 in the optical system 1000 and may be in the range of 8 to 10, preferably 9. The object-side surface of the n-th lens may be provided without a critical point from the optical axis (OA) to the end of the effective area, and the sensor-side surface may have a critical point. For example, the critical point of the sensor-side surface of the n-th lens is It may be located within 40% or less of the effective radius based on the optical axis (OA), for example, in the range of 20% to 40%. The object-side surface and the sensor-side surface of the n-1th lens may have a critical point. For example, the critical point of the object-side surface of the n-1th lens is 54% or more of the effective radius based on the optical axis (OA). , may be located in the range of 54% to 64%, and the critical point on the sensor side may be located in the range of 33% to 43% or more, for example, 33% to 43% of the effective radius based on the optical axis (OA).

In the optical system 1000, the number of lenses with critical points on both the object side and the sensor side of each lens is called Lx, and the number of lenses with critical points on either the object side or the sensor side is called Ly, If the number of lenses without a critical point on both the object side and the sensor side is Lz, the relationship Lz > Ly ≥ Lx can be satisfied. The Lx may be 50% or more of the number of lenses, Lz may be 25% or less of the number of lenses, and Ly may be 25% or less of the number of lenses. The critical point on each lens surface is such that the sign of the optical axis (OA) and the slope value with respect to the direction perpendicular to the optical axis (OA) changes from positive (+) to negative (-) or from negative (-) to positive (+). A changing point can mean a point where the slope value is 0. Additionally, the critical point may be a point where the slope value decreases as it increases, or a point where it decreases and then increases.

The first lens group G1 may have positive (+) refractive power. The second lens group G2 may have negative refractive power. The first lens group G1 and the second lens group G2 may have different focal lengths. Based on an absolute value, the focal length of the second lens group (G2) may be greater than the focal length of the first lens group (G1). For example, the focal length of the second lens group (G2) may be greater than the focal length of the first lens group (G1). It may be more than twice the focal length of the lens group G1, for example, in the range of 2 to 8 times. Within the optical system 1000, the number of lenses with positive (+) refractive power may be greater than the number of lenses with negative refractive power. The number of lenses with positive refractive power within the first lens group (G1) may be more than 50%, and the number of lenses with positive refractive power within the first and second lens groups (G1, G2) may be more than 60%, for example. , may range from 60% to 70%. In the second lens group G2, the number of lenses with positive (+) refractive power may be greater than the number of lenses with negative (-) refractive power. That is, in the optical system, the number of lenses with negative (-) refractive power may be 4 or less or 3, and the number of lenses with positive (+) refractive power may be at least 4 or more, for example, 5 or 6. Accordingly, the optical system 1000 according to the embodiment can improve chromatic aberration and distortion aberration by controlling the refractive power and focal length of each lens group, and can have good optical performance in the center and peripheral areas of the field of view (FOV). .

On the optical axis OA, the first lens group G1 and the second lens group G2 may have a set interval. The distance between the first lens group (G1) and the second lens group (G2) on the optical axis (OA) is the distance between the groups, and the lens closest to the sensor side among the lenses in the first lens group (G1) It may be the optical axis interval between the sensor side of and the object side of the lens closest to the object among the lenses in the second lens group (G2). The optical axis distance between the first lens group (G1) and the second lens group (G2) is smaller than the center thickness of the last lens of the first lens group (G1) and the first lens of the second lens group (G2). You can. The optical axis distance between the first lens group (G1) and the second lens group (G2) may be smaller than the center thickness of the thinnest lens among the lenses of the first and second lens groups (G1 and G2). Here, the optical axis distance of the first lens group (G1) is the optical axis distance between the object side of the lens closest to the object side of the first lens group (G1) and the sensor side of the lens closest to the sensor side. The optical axis distance of the second lens group G2 is the optical axis distance between the object side of the lens closest to the object side of the second lens group G2 and the sensor side of the lens closest to the sensor side. Accordingly, the optical system 1000 can have good optical performance not only in the center of the field of view (FOV) but also in the periphery, and can improve chromatic aberration and distortion aberration.

The gap between the sensor-side surface of the first lens group (G1) and the object-side surface of the second lens group (G2) facing each other may gradually become smaller from the optical axis (OA) toward the edge. At this time, the spacing between the sensor side of the first lens group (G1) and the object side of the second lens group (G2) has a minimum center spacing, a maximum edge spacing, and a minimum spacing of 20% or less than the maximum spacing. There may be a difference. The center spacing between the largest lenses in the optical system 1000 may be the optical axis spacing between the nth lens and the n-1th lens. Within the optical system 1000, the sum of the surfaces in which the object side is convex and the sensor side is concave in the optical axis (OA) or paraxial region of each lens may be 70% or more of the total lens surface, for example, in the range of 70% to 80%. there is.

Each of the plurality of lenses 100 and 100A may include an effective area and an inactive area. The effective area may be an area through which light incident on each of the lenses passes. That is, the effective area may be an effective area in which the incident light is refracted to implement optical characteristics. The non-effective area may be arranged around the effective area. The non-effective area is an area where effective light does not enter the plurality of lenses, and may be an area further outside the end of the effective area. That is, the non-effective area may be an area unrelated to the optical characteristics. Additionally, the end of the non-effective area may be an area fixed to a barrel (not shown) that accommodates the lens.

The optical system 1000 may include an image sensor 300. The image sensor 300 can detect light and convert it into an electrical signal. The image sensor 300 may detect light that sequentially passes through the plurality of lenses 100 and 100A. The image sensor 300 may include an element capable of detecting incident light, such as a charge coupled device (CCD) or a complementary metal oxide semiconductor (CMOS).

The optical system 1000 may include a filter 500. The filter 500 may be disposed between the second lens group G2 and the image sensor 300. The filter 500 may be disposed between the image sensor 300 and a lens closest to the sensor among the plurality of lenses 100 and 100A. For example, when the optical system (100, 100A) is a 9-element lens, the filter 500 may be disposed between the nth lens 109 and the image sensor 300.

The filter 500 may include at least one of an infrared filter or an optical filter of a cover glass. The filter 500 may pass light in a set wavelength band and filter light in a different wavelength band. When the filter 500 includes an infrared filter, radiant heat emitted from external light can be blocked from being transmitted to the image sensor 300. Additionally, the filter 500 can transmit visible light and reflect infrared rays.

The optical system 1000 according to the embodiment may include an aperture (not shown). The aperture can control the amount of light incident on the optical system 1000. The aperture may be placed at a set position, for example, around the object side or sensor side of any one lens of the first lens group G1. As another example, the aperture may be disposed around the first lens group (G1) and the second lens group (G2). As another example, the aperture may be disposed between two adjacent lenses among the lenses in the first lens group G1. As another example, the aperture may be located between the two lenses closest to the object. Alternatively, at least one lens selected from among the plurality of lenses 100 and 100A may function as an aperture. In detail, the object side or the sensor side of one lens selected from among the lenses of the first lens group (G1) may function as an aperture to adjust the amount of light. The optical system 1000 according to the embodiment may further include a reflection member (not shown) for changing the path of light on the object side of the first lens group G1. The reflective member may be implemented as a prism that reflects incident light in the direction of the lenses. Hereinafter, the optical system according to the embodiment will be described in detail.

<First embodiment>

FIG. 1 is a configuration diagram of an optical system according to a first embodiment, FIG. 2 is an explanatory diagram showing the relationship between an image sensor, an n-th lens, and an n-1-th lens in the optical system of FIG. 1, and FIG. 3 is an optical system of FIG. 1. is data about the gap between two adjacent lenses, FIG. 4 is data about the aspheric coefficient of each lens surface in the optical system of FIG. 1, and FIG. 5 is a graph of the diffraction MTF (Diffraction MTF) of the optical system of FIG. 1. FIG. 6 is a graph showing the aberration characteristics of the optical system of FIG. 1, and FIG. 7 is the distance in the first direction (Y) between the object side and the sensor side at the nth lens and n-1th lens of the optical system of FIG. 2. This is a graph showing the height in the optical axis direction.

1 and 2, the optical system 1000 according to the first embodiment includes a plurality of lenses 100, and the plurality of lenses 100 include a first lens 101 and a second lens 102. ), the third lens 103, the fourth lens 104, the fifth lens 105, the sixth lens 106, the eighth lens 108, and the ninth lens 109. The first to ninth lenses 101-109 may be sequentially arranged along the optical axis OA of the optical system 1000. Light corresponding to information on the object may pass through the first to ninth lenses 109 and be incident on the image sensor 300, and the first to third lenses 101-103 may be incident on the image sensor 300. Light can be refracted or condensed in the direction of the optical axis (OA), and the fourth to ninth lenses 104-109 allow the light passing through the fourth lens 104 to move away from or diffuse away from the optical axis (OA). Can be refracted in any direction.

The first lens 101 may have positive (+) or negative (-) refractive power at the optical axis (OA). The first lens 101 may have positive (+) refractive power. The first lens 101 may include plastic or glass. For example, the first lens 101 may be made of plastic. The first lens 101 may include a first surface (S1) defined as the object side surface and a second surface (S2) defined as the sensor side surface. At 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 that is convex from the optical axis OA toward the object. Differently, at the optical axis OA, the first surface S1 may have a convex shape, and the second surface S2 may have a convex shape. That is, the first lens 101 may have a shape in which both sides are convex at the optical axis OA. At least one of the first surface (S1) and the second surface (S2) may be an aspherical surface. For example, both the first surface (S1) and the second surface (S2) may be aspherical. The aspheric coefficients of the first and second surfaces (S1, S2) are provided as shown in FIG. 4, where L1 is the first lens 101 and S1/S2 represent the first/second surfaces of L1.

The second lens 102 may have positive (+) or negative (-) refractive power at the optical axis (OA). The second lens 102 may have negative (-) refractive power. The second lens 102 may include plastic or glass. For example, the second lens 102 may be made of plastic. The second lens 102 may include a third surface S3 defined as the object side surface and a fourth surface S4 defined as the sensor side surface. At 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 that is convex from the optical axis OA toward the object. Differently, at the optical axis OA, the third surface S3 may have a convex shape, and the fourth surface S4 may have a convex shape. That is, the second lens 102 may have a shape in which both sides are convex at the optical axis OA. 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. The aspheric coefficients of the third and fourth surfaces S3 and S4 are provided as shown in FIG. 4, where L2 is the second lens 102, and S1/S2 of L2 represent the first/second surfaces of L2.

The third lens 103 may have positive (+) or negative (-) refractive power at the optical axis (OA). The third lens 103 may have positive (+) refractive power. The third lens 103 may include plastic or glass. For example, the third lens 103 may be made of plastic. The third lens 103 may include a fifth surface S5 defined as the object side surface and a sixth surface S6 defined as the sensor side surface. At the optical axis OA, the fifth surface S5 may have a convex shape, and the sixth surface S6 may have a convex shape. That is, the third lens 103 may have a shape in which both sides are convex at the optical axis OA. Differently, at the optical axis OA, the fifth surface S5 may have a convex shape, and the sixth surface S6 may have a concave shape. Alternatively, the third lens 103 may have a shape where both sides are concave at the optical axis OA. 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. The aspherical coefficients of the fifth and sixth surfaces (S5, S6) are provided as shown in FIG. 4, where L3 is the third lens 103, and S1/S2 of L3 represent the first/second surfaces of L3.

The fourth lens 104 may have positive (+) or negative (-) refractive power at the optical axis (OA). The fourth lens 104 may have positive (+) refractive power. The fourth lens 104 may include plastic or glass. For example, the fourth lens 104 may be made of plastic. The fourth lens 104 may include a seventh surface S7 defined as the object side surface and an eighth surface S8 defined as the sensor side surface. At 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 shape that is convex on both sides of the optical axis OA. Alternatively, the seventh surface S7 may have a convex shape with respect to the optical axis OA, and the eighth surface S8 may have a concave shape with respect to the optical axis OA. Alternatively, the seventh surface S7 may have a concave shape with respect to the optical axis OA, and the eighth surface S8 may have a convex shape with respect to the optical axis OA. That is, the fourth lens 104 may have a meniscus shape that is convex from the optical axis OA toward the sensor. Alternatively, the seventh surface S7 may have a concave shape along the optical axis OA, and the eighth surface S8 may have a concave shape along the optical axis OA. That is, 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. The aspheric coefficients of the 7th and 8th surfaces S7 and S8 are provided as shown in FIG. 4, where L4 is the fourth lens 104, and S1/S2 of L4 represent the first/second surfaces of L4.

The refractive index of the second lens 102 may be the largest among the first to third lenses 101, 102, and 103, and may be 1.6 or more. The Abbe number of the second lens 102 may be the smallest among the first to third lenses 101, 102, and 103, and may be less than 30 or less than 20. For example, the Abbe number of the second lens 102 may be 20 or more smaller than the Abbe number of the first and third lenses 101 and 103. The Abbe number of the first and third lenses 101 and 103 may be 45 or more. Accordingly, the optical system 1000 may have improved chromatic aberration control characteristics.

The fifth lens 105 may have positive (+) or negative (-) refractive power at the optical axis (OA). The fifth lens 105 may have negative refractive power. The fifth lens 105 may include plastic or glass. For example, the fifth lens 105 may be made of plastic. The fifth lens 105 may include a ninth surface S9 defined as the object side surface and a tenth surface S10 defined as the sensor side surface. At the optical axis OA, the ninth surface S9 may have a concave shape, and the tenth surface S10 may have a concave shape. That is, the fifth lens 105 may have a concave shape on both sides of the optical axis OA. Differently, the ninth surface S9 may have a concave shape with respect to the optical axis OA, and the tenth surface S10 may have a convex shape with respect to the optical axis OA. Alternatively, the ninth surface S9 may have a convex shape with respect to the optical axis OA, and the tenth surface S10 may have a concave or convex shape with respect to the optical axis OA. 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. The aspheric coefficients of the 9th and 10th surfaces (S9, S10) are provided as shown in FIG. 4, where L5 is the fifth lens 105, and S1/S2 of L5 represent the first/second surfaces of L5.

The sixth lens 106 may have positive (+) or negative (-) refractive power at the optical axis (OA). The sixth lens 106 may have positive (+) refractive power. The sixth lens 106 may include plastic or glass. For example, the sixth lens 106 may be made of plastic. The sixth lens 106 may include an 11th surface S11 defined as the object side and a 12th surface S12 defined as the sensor side. The 11th surface S11 may have a concave shape with respect to the optical axis OA, and the 12th surface S12 may have a convex shape with respect to the optical axis OA. That is, the sixth lens 106 may have a meniscus shape that is convex from the optical axis OA toward the sensor. Alternatively, the 11th surface S11 may have a convex shape with respect to the optical axis OA, and the 12th surface S12 may have a concave shape with respect to the optical axis OA. That is, the sixth lens 106 may have a meniscus shape convex from the optical axis OA toward the object. Alternatively, the sixth lens 106 may have a concave shape on both sides of the optical axis 0A. At least one of the 11th surface (S11) and the 12th surface (S12) may be an aspherical surface. For example, both the 11th surface (S11) and the 12th surface (S12) may be aspherical. The aspheric coefficients of the 11th and 12th surfaces (S11 and S12) are provided as shown in FIG. 4, where L6 is the sixth lens 106, and S1/S2 of L6 represent the first/second surfaces of L6.

The seventh lens 107 may have positive (+) or negative (-) refractive power at the optical axis (OA). The seventh lens 107 may have positive (+) refractive power. The seventh lens 107 may include plastic or glass. For example, the seventh lens 107 may be made of plastic. The seventh lens 107 may include a 13th surface S13 defined as the object side surface and a 14th surface S14 defined as the sensor side surface. The 13th surface S13 may have a convex shape with respect to the optical axis OA, and the 14th surface S14 may have a concave shape with respect to the optical axis OA. That is, the seventh lens 107 may have a meniscus shape convex from the optical axis OA toward the object. Alternatively, the seventh lens 107 may have a meniscus shape that is convex toward the sensor. Alternatively, the seventh lens 107 may have a convex or concave shape on both sides. At least one of the 13th surface (S13) and the 14th surface (S14) may be an aspherical surface. For example, both the 13th surface S13 and the 14th surface S14 may be aspherical. The aspheric coefficients of the 13th and 14th surfaces S13 and S14 are provided as shown in FIG. 4, where L7 is the seventh lens 107, and S1/S2 of L7 represent the first/second surfaces of L7.

The eighth lens 108 may have positive (+) or negative (-) refractive power at the optical axis (OA). The eighth lens 108 may have positive (+) refractive power. The eighth lens 108 may include plastic or glass. For example, the eighth lens 108 may be made of plastic. The eighth lens 108 may include a 15th surface S15 defined as the object side surface and a 16th surface S16 defined as the sensor side surface. The 15th surface S15 may have a convex shape with respect to the optical axis OA, and the 16th surface S16 may have a concave shape with respect to the optical axis OA. That is, the eighth lens 108 may have a meniscus shape that is convex from the optical axis OA toward the object. Alternatively, the 15th surface S15 may have a convex shape along the optical axis OA, and the 16th surface S16 may have a convex shape along the optical axis OA. That is, the eighth lens 108 may have a convex shape on both sides. The eighth lens 108 may have a meniscus shape that is convex toward the sensor or a shape that is concave on both sides. At least one of the 15th surface (S15) and the 16th surface (S16) may be an aspherical surface. For example, both the 15th surface (S15) and the 16th surface (S16) may be aspherical. The aspherical coefficients of the 15th and 16th surfaces (S16, S16) are provided as shown in FIG. 4, where L8 is the 8th lens 108, and S1/S2 of L8 represent the first/second surfaces of L8.

The ninth lens 109 may have positive (+) or negative (-) refractive power at the optical axis (OA). The ninth lens 109 may have negative (-) refractive power. The ninth lens 109 may include plastic or glass. For example, the ninth lens 109 may be made of plastic. The ninth lens 109 may include a 17th surface S17 defined as the object side surface and an 18th surface S18 defined as the sensor side surface. The 17th surface S17 may have a concave shape along the optical axis OA, and the 18th surface S18 may have a concave shape along the optical axis OA. That is, the ninth lens 109 may have a concave shape on both sides of the optical axis OA. Alternatively, the 17th surface S17 may have a concave shape with respect to the optical axis OA, and the 18th surface S18 may have a convex shape with respect to the optical axis OA. Alternatively, the ninth lens 109 may have a meniscus shape that is convex from the optical axis OA toward the object. At least one of the 17th surface (S17) and the 18th surface (S18) may be an aspherical surface. For example, both the 17th surface (S17) and the 18th surface (S18) may be aspherical. The aspheric coefficients of the 17th and 18th surfaces (S17 and S18) are provided as shown in FIG. 4, where L9 is the ninth lens 109, and S1/S2 of L9 represent the first/second surfaces of L9.

The first lens group G1 may include first to third lenses 101, 102, and 103, and the second lens group G2 may include fourth to ninth lenses 104, 105, 106, 107, 108, and 109. The optical axis distance of the sensor side of the fourth lens 104 from the object side of the first lens 101 is the distance between the object side of the fifth lens 105 and the sensor side of the ninth lens 109. It may be smaller than the optical axis distance. The optical axis distance of the sensor side of the ninth lens 109 from the object side of the fifth lens 105 is the distance between the object side of the first lens 101 and the sensor side of the fourth lens 104. It may be two or more times the optical axis distance, for example, two to three times the range.

The optical axis distance (TD) from the object-side surface of the first lens 101 to the sensor-side surface of the ninth lens 109 is 10 mm or less, and may be, for example, 7 mm to 10 mm. The optical axis distance from the object-side surface of the fifth lens 105 to the sensor-side surface of the ninth lens 109 may be 65% or more of TD, for example, in the range of 65% to 75%.

Among the lenses 100, the minimum optical axis spacing between two adjacent lenses is less than 0.1 mm, and the maximum optical axis spacing may be 20 times or more than the minimum optical axis spacing, for example, 1.5 mm or more. Here, the minimum optical axis distance is the optical axis distance between the second and third lenses (106 and 107), and the maximum optical axis distance is the optical axis distance between the eighth and ninth lenses (108 and 109).

Among the lenses 100, the minimum center thickness of each lens is less than 0.3 mm, and the maximum center thickness may be more than twice the minimum center thickness, for example, 0.6 mm or more. Here, the minimum center thickness is the center thickness of the fifth lens 105, and the maximum center thickness is the center thickness of the eighth lens 108.

The central thickness of the ninth lens 109 may be greater than the central thickness of the third and fourth lenses 103 and 104 and smaller than the central thickness of the eighth lens 108. The central thickness of the eighth lens 108 may have a difference of less than 0.15 mm from the central thickness of the ninth lens 109. Accordingly, the optical system 1000 can control incident light and have improved aberration characteristics and resolution.

The edge thickness of the lenses 100 may be the maximum, and the edge thickness of the third or fourth lenses 103 and 104 may be the minimum. The maximum edge thickness may be 4 times or more, for example, 4 to 7 times the minimum edge thickness. Here, the edge thickness is the optical axis distance between the effective area end of the object-side surface of each lens and the effective area end of the sensor-side surface.

The minimum center spacing of the lenses 100 may be less than 0.1 mm, the maximum center spacing may be 1.5 mm or more, and the maximum center spacing may be 10 times or more than the minimum center spacing. Accordingly, the optical system 1000 can control incident light and have improved aberration characteristics and resolution.

As for the edge spacing between the lenses 100, the edge spacing of the second and third lenses 102 and 103 may be minimum, and the edge spacing of the sixth and seventh lenses 106 and 107 may be maximum. The edge spacing is the optical axis distance between the effective area end of the sensor-side surface of the object-side lens and the effective area end of the object-side surface of the lens adjacent thereto. The maximum edge spacing may be 5 times or more than the minimum edge spacing.

Among the lenses 100, the effective radius may gradually decrease from the first lens 101 to the fourth lens 104, and may gradually increase from the fourth lens 104 to the ninth lens 109. Here, the effective radius is the straight line length from the optical axis OA to the end of the effective area in the direction perpendicular to the optical axis OA, and the effective radius of each lens is the distance between the object side and the sensor side of each lens. This is the average value of the effective radius. Among the object-side surface and the sensor-side surface, the minimum effective radius may be the effective radius of the sensor-side surface (S6) of the third lens 103, and the maximum effective radius may be the sensor-side surface (S18) of the ninth lens 109. ) may be the effective radius of. The maximum effective radius may be 2.2 times or more, for example, 2.2 to 5 times the minimum effective radius. The size of the effective diameter H9 of the 18th surface S17 on the sensor side of the ninth lens 109 is the largest, so that incident light can be effectively refracted toward the image sensor 300. Accordingly, the optical system 1000 can have improved chromatic aberration control characteristics, and the vignetting characteristics of the optical system 1000 can be improved by controlling incident light.

FIG. 14 is a graph showing an imaginary line connecting the ends of the effective area of the object-side surface and the sensor-side surface of the first lens 101 to the ends of the effective area of the object-side surface and the sensor-side surface of the ninth lens 109. am. Here, the virtual straight line connecting the effective area ends of the object-side surface and the sensor-side surface of the fourth lens 104 to the ninth lens 109 satisfies the formula y=0.327x -0.3707, and the straight line The correlation coefficient (R ² ) may be 0.90 or more. The closer the correlation coefficient is to 1, the more likely it is to match the straight line connecting the ends of the region. Here, the virtual straight line may have an angle in the range of 40 to 50 degrees with respect to the optical axis OA. Additionally, the fitting coefficient of the quadratic function connecting the ends of the effective radii of the lenses of the first lens group (G1) and the second lens group (G2) may be in the range of 0.12 ± 0.05.

In terms of Abbe number, the maximum Abbe number of each lens differs from the minimum Abbe number by more than 20, and may be more than 45, for example, more than 50, and the lens having an Abbe number of more than 50 or the maximum is at least one of the 8th and 9th lenses (108, 109). It can be one or all. Accordingly, the optical system 1000 may have improved chromatic aberration control characteristics.

Regarding the refractive index, the maximum refractive index of each lens is 1.6 or more, and may have a difference of 0.07 or more from the minimum refractive index. The number of lenses having a refractive index of 1.6 or more may be 3, and the number of lenses having a refractive index of less than 1.6 may be n-2 (e.g., n = 9). The lenses having a refractive index of 1.6 or more may be the second, fifth, and seventh lenses (102, 105, and 107). Accordingly, the optical system 1000 may have improved chromatic aberration control characteristics.

In the absolute value of the focal length, the maximum focal length, for example, the lens with a focal length of 100 or more is one, the lens with the maximum focal length may be the seventh lens 107, and the minimum focal length may be 10 or less, There can be three lenses with a focal length of 10 or less.

In the absolute value of the radius of curvature, there is one lens with a maximum radius of curvature, for example, 150 or more, and the lens with the maximum radius of curvature may be the object-side third surface S3 of the second lens 102, The minimum radius of curvature may be 3 or less, and the lens having the minimum radius of curvature may be the object-side 17th surface S17 of the ninth lens 109. The radius of curvature of the third surface S3 on the sensor side of the second lens 102 may be 1000 mm or more.

The refractive index of the seventh lens 107 may be greater than that of the eighth and ninth lenses 108 and 109. The refractive index of the eighth and ninth lenses 108 and 109 may be less than 1.6, and the refractive index of the seventh lens 107 may be 1.6 or more. The seventh lens 107 may have an Abbe number that is smaller than the Abbe numbers of the eighth and ninth lenses 108 and 109. For example, the Abbe number of the seventh lens 107 may have a difference of 20 or more from the Abbe number of the ninth lens 109. Among the lenses 100, the number of lenses with a refractive index exceeding 1.6 may be smaller than the number of lenses with a refractive index of less than 1.6, for example, 3 lenses. The number of lenses with an Abbe number greater than 50 may be smaller than the number of lenses with an Abbe number of less than 50. Accordingly, the optical system 1000 may have improved chromatic aberration control characteristics.

At the critical points of the plurality of lenses 100, the object-side surface and the sensor-side surface of the first to fourth lenses 101-104 may be provided without critical points. Alternatively, at least one object-side surface or/and sensor-side surface of the first to fourth lenses 101-104 may have a critical point. The sensor side of the fifth lens 105 may have at least one critical point and may be arranged in a range of 26% to 36% of the effective radius based on the optical axis OA. The object-side surface of the seventh lens 107 may have at least one critical point, and may be disposed within 55% or less of the effective radius, for example, in the range of 47% to 55%, based on the optical axis OA. The sensor side of the seventh lens 107 may have at least one critical point, and may be disposed at 67% or more of the effective radius, for example, in the range of 67% to 77%, based on the optical axis OA.

As shown in FIG. 2, the eighth lens 108 may have a critical point on at least one or both of the 15th and 16th surfaces S15 and S16. For example, the 15th and 16th surfaces S15 and S16 may both have critical points. The critical point of the fifteenth surface S15 may be located at a distance of 54% or more of the effective radius of the fifteenth surface S15 from the optical axis OA, for example, in the range of 54% to 64% or in the range of 57% to 61%. You can. The critical point of the 16th surface (S16) is at a distance of 33% or more of the effective radius (r8) of the 16th surface (S16) from the optical axis (OA), for example, in the range of 33% to 43% or 35% to 45%. can be located Accordingly, the 15th and 16th surfaces S15 and S16 can diffuse the light incident through the seventh lens 107. The positions of the critical points of the 15th and 16th (S15, S16) may be located further outside the critical points of the seventh lens 107 based on the optical axis OA.

Among the 17th and 18th surfaces (S17 and S18) of the ninth lens 109, the 18th surface (S18) on the sensor side may have at least one critical point. For example, the 17th surface S17 may be provided without a critical point, and the critical point of the 18th surface S18 is 40% of the effective radius r9 of the 18th surface S18 at the optical axis OA. It may be located at a distance below, for example, in the range of 25% to 40%. Accordingly, the 17th and 18th surfaces S17 and S18 can diffuse the light refracted through the eighth lens 108 to the periphery of the image sensor 300. Here, the critical point may mean a point where the slope of the normal line K2 and the optical axis OA is 0 on the 18th surface S18 on the sensor side. Additionally, the critical point may mean a point at which the slope of the virtual line K2 extending in a direction perpendicular to the tangent K1 and the optical axis OA on the 18th surface S18 is 0 degrees.

Here, the normal line K2 passing through an arbitrary point of the 18th surface S18 on the sensor side of the ninth lens 109 and 119 may have a predetermined angle θ1 with the optical axis OA. The angle θ1 may be less than a maximum of 60 degrees.

FIG. 7 shows the optical axis direction according to the distance in the first direction (Y) from the optical axis (OA) with respect to the object-side 15th surface (S15) and the sensor-side 16th surface (S16) in the eighth lens 108 of FIG. 2. A graph showing the height and the height in the optical axis direction according to the distance in the first direction (Y) from the optical axis (OA) with respect to the 17th surface (S17) on the object side and the 18th surface (S18) on the sensor side in the ninth lens 109. am. In Figure 7, L8 is the 8th lens, L8S1 is the 15th surface, L8S2 is the 16th surface, L9 is the 9th lens, L9S1 is the 17th surface, and L9S2 is the 18th surface. The 15th surface L8S1 and the 16th surface L8S2 of the eighth lens 108 are located on the sensor side (+) and the object side (-) based on the straight line perpendicular to the center (0) of each lens surface, so 0.5mm It can be seen that the critical point is between 1 and 3 mm, and the critical point position of L8S1 protrudes in a more positive (+) direction from the straight lines passing through the point orthogonal to the optical axis OA. The critical point of L8S1 may be placed further outside the optical axis than the critical points on the object-side and sensor-side surfaces of the eighth lens 108.

It can be seen that L9S2, which is the 18th surface of the ninth lens 109, is located at a critical point, that is, 2.5 mm or less in the area adjacent to the center (0), when viewed based on a straight line perpendicular to the center (0).

The positions of the critical points of the eighth and ninth lenses 108 and 109 are preferably located at positions that satisfy the above-mentioned range in consideration of the optical characteristics of the optical system 1000. In detail, it is desirable that the position of the critical point satisfies the above-mentioned range for controlling optical characteristics such as chromatic aberration, distortion characteristics, aberration characteristics, and resolution of the optical system 1000. Accordingly, the path of light emitted to the image sensor 300 through the lens can be effectively controlled. Accordingly, the optical system 1000 according to the embodiment may have improved optical characteristics not only in the center but also in the peripheral area of the field of view (FOV).

As shown in FIG. 2, L9_CT is the center thickness or optical axis thickness of the ninth lens 109 and 119, and L9_ET is the end or edge thickness of the effective area of the ninth lens 109 and 119. L8_CT is the center thickness or optical axis thickness of the eighth lens (108, 118), and L8_ET is the end or edge thickness of the effective area of the eighth lens (108, 118). The edge thickness L8_ET of the eighth lens 108 and 118 is the distance in the optical axis direction from the end of the effective area of the 15th surface S15 to the effective area of the 16th surface S16. The edge thickness L9_ET of the ninth lens 109 and 119 is the distance in the optical axis direction from the end of the effective area of the 17th surface S17 to the effective area of the 18th surface S18. D89_CT is the optical axis distance (i.e., center spacing) from the center of the sensor-side surface of the eighth lens (108, 118) to the center of the object-side surface of the ninth lens (109, 119). That is, D89_CT is the distance between the 16th surface (S16) and the 17th surface (S17) on the optical axis (OA). In the same way, D89_ET (not shown) is the distance (i.e., edge spacing) in the optical axis direction from the edge of the eighth lens 108 and 118 to the edge of the ninth lens 109 and 119. That is, D89_ET is the distance in the optical axis direction between a straight line extending outward from the end of the effective area of the 16th surface (S16) and the end of the effective area of the 17th surface (S17). Here, the distance between the ends of the effective area between adjacent lens faces is the optical axis spacing between a straight line extending from the end with a short effective radius and the effective area end facing it. Back focal length (BFL) is the optical axis distance from the image sensor 300 to the last lens.

In this format, the center thickness, edge thickness, and center spacing and edge spacing between two adjacent lenses of the first to ninth lenses 101-109 can be set. For example, as shown in FIGS. 3 and 9, a gap between adjacent lenses may be provided, for example, a predetermined distance (e.g., 0.1 mm) along the first direction Y based on the optical axis OA. ), a first gap (D12) between the first lenses (101, 111) and the second lenses (102, 112), a second gap (D23) between the second lenses (102, 112) and the third lenses (103, 113) in the area spaced apart from each other, A third gap (D34) between the third lenses (103, 113) and the fourth lenses (104, 114), a fourth gap (D45) between the fourth lenses (104, 114) and the fifth lenses (105, 115), and the fifth lenses (105, 115) and the fifth gap (D56) between the sixth lenses (106,116), the sixth gap (D67) between the sixth lenses (106,116) and the seventh lenses (107,117), the seventh lenses (107,117) and the eighth lenses (108,118) ) can be expressed as a seventh interval D78 between the lenses, and an eighth interval D89 between the eighth lenses 108 and 118 and the ninth lenses 109 and 119. In the description of FIGS. 3 and 9, the first direction (Y) may include a circumferential direction centered on the optical axis (OA) or two directions orthogonal to each other, and at the end of the first direction (Y) The distance between two adjacent lenses may be based on the end of the effective area of the lens with the smaller effective radius, and the end of the effective radius may include an error of ±0.2 mm at the end.

3 and 1, the first gap D12 is the gap in the optical axis direction (Z) between the first lens 101 and the second lens 102 along the first direction (Y). You can. When the first interval D12 has the optical axis OA as its starting point and the end point of the effective area of the third surface S3 of the second lens 102, the first interval D12 is formed in the first direction (Y) in the optical axis OA. ) can gradually increase. The first interval D12 may be maximum at the optical axis OA and minimum at the end of the effective area. The maximum value in the first interval D12 may be 1.1 times or more, for example, 1.1 to 2 times the minimum value. Accordingly, the optical system 1000 can effectively control incident light, and the light incident through the first and second lenses 101 and 102 can proceed to another lens by the first gap D12. and can maintain good optical performance.

The second gap D23 may be a gap in the optical axis direction (Z) between the second lens 102 and the third lens 103. When the second interval D23 has the optical axis OA as its starting point and the end point of the effective area of the fifth surface S5 of the third lens 103, the second interval D23 is formed by a first distance from the optical axis OA to the end point. It can gradually become smaller in the direction (Y). The second interval D23 may be maximum at 0.5 mm ± 0.1 mm from the optical axis OA and minimum at the end point. The maximum value of the second interval D23 may be 1.5 times or more than the minimum value. In detail, the maximum value of the second interval D23 may satisfy 1.5 to 4 times the minimum value. Accordingly, the optical system 1000 can have improved optical characteristics, and the aberration characteristics of the optical system 1000 can be improved by the second gap D23. The maximum value of the second interval D23 may be less than the maximum value of the first interval D12, and the minimum value of the second interval D23 may be less than the minimum value of the first interval D12.

The third gap D34 may be a gap in the optical axis direction (Z) between the third lens 103 and the fourth lens 104. When the third interval D34 takes the optical axis OA as the starting point and the end point of the effective area of the sixth surface S6 of the third lens 103 as the end point in the first direction Y, the optical axis OA ) gradually increases toward the end point of the first direction (Y). The third interval D34 may have a maximum value at the end of the effective area and a minimum value at the optical axis OA. The maximum value may be 1 times or more than the minimum value, for example, 1 to 3 times the range. The maximum value of the third interval D34 may be greater than the maximum value of the second interval D23, and the minimum value may be greater than the maximum value of the second interval D23. Accordingly, the optical system 1000 can have improved chromatic aberration characteristics and control vignetting characteristics by the third interval D34. The third gap D34 may be the gap between the first and second groups G1 and G2.

The fourth gap D45 may be a gap in the optical axis direction (Z) between the fourth lens 104 and the fifth lens 105. When the fourth interval D45 takes the optical axis OA as a starting point and the end point of the effective area of the eighth surface S8 of the fourth lens 104, the maximum value is 0.5 mm from the optical axis OA. It is located at ±0.1 mm, and may change in a gradually decreasing form toward the optical axis (OA) or the end point. The maximum value may be 0.45 mm or more, and it is greater than the minimum value of the first interval (D12), and the minimum value is It may be greater than the maximum value of the third interval D34.

The fifth gap D56 may be a gap in the optical axis direction (Z) between the fifth lens 105 and the sixth lens 106. The fifth interval D56 is the maximum value at the optical axis OA when the optical axis OA is taken as the starting point and the end point of the effective area of the tenth surface S10 of the fifth lens 105 is taken as the end point, and is 1.3 It is minimum around mm ± 0.1mm and can gradually increase from minimum towards the end point. The fifth interval D56 may have a maximum value of 1.1 times or more, for example, 1.1 to 2.1 times the minimum value. The minimum value of the fifth interval D56 may be greater than the maximum value of the third interval D34. Accordingly, the optical system 1000 can have improved optical characteristics, good optical performance in the center and periphery of the field of view (FOV) by the fourth and fifth intervals D45, D56, and improved chromatic aberration and distortion. Aberration can be adjusted.

The sixth gap D67 may be a gap in the optical axis direction between the sixth lens 106 and the seventh lens 107. When the sixth interval D67 has the optical axis OA as a starting point and the end point of the effective area of the twelfth surface S12 of the sixth lens 106 as an end point, the sixth interval D67 is an end point in the first direction (Y) on the optical axis. It can gradually increase toward , the minimum value is located at the optical axis (OA), and the maximum value can be located at the end of the effective area. The maximum value of the sixth interval D67 may be 7 times or more, for example, 7 to 12 times the minimum value, and may be 0.5 mm or more.

The seventh gap D78 may be a gap in the optical axis direction between the seventh lens 107 and the eighth lens 108. The seventh interval D78 is the maximum value of the seventh interval D78 when the optical axis OA is the starting point and the end point of the effective area of the 14th surface S14 of the seventh lens 107 is the end point. is located in the range of 1.7mm to 1.9mm from the optical axis (OA), and the minimum value may be located at the optical axis (OA). The seventh interval D78 may gradually increase from the minimum value to the maximum value or until the end point. Here, the minimum value is 0.9 mm or more, and the difference from the maximum value may be 0.3 mm or less. The maximum value of the seventh interval D78 may be 1.01 times or more, for example, 1.01 to 1.2 times the minimum value, and the minimum value may be greater than the maximum value of the sixth interval D67. Accordingly, the optical system 1000 may have improved optical characteristics in the center and periphery of the field of view (FOV). In addition, the optical system 1000 may have improved aberration control characteristics as the seventh lens 107 and the eighth lens 108 are spaced apart at a seventh interval D78 set according to their positions, and the ninth lens 1000 may have improved aberration control characteristics. The size of the effective diameter of the lens 109 can be appropriately controlled.

The eighth gap D89 may be a gap in the optical axis direction between the eighth lens 108 and the ninth lens 109. The eighth interval D89 is the maximum value of the eighth interval D89 when the optical axis OA is the starting point and the end point of the effective area of the 16th surface S16 of the eighth lens 108 is the end point. is located on the optical axis, and the minimum value can be located at the end of the effective area. The eighth interval D89 may gradually increase from the minimum value to the maximum value. The maximum value of the eighth interval D89 may be 3 times or more, for example, 3 to 5.5 times the minimum value. Distortion characteristics and aberration characteristics can be improved in the center and periphery of the field of view (FOV) by the eighth interval D89.

Among the lenses 101-109, the maximum central thickness may be at least twice the minimum central thickness, for example, in the range of 2 to 4 times. The eighth lens 108 having a maximum central thickness may be more than twice that of the fifth lens 105, for example, in the range of 2 to 4 times.

Among the plurality of lenses 100, the number of lenses with a center thickness of less than 0.5 mm may be greater than the number of lenses with a center thickness of 0.5 mm or more. Among the plurality of lenses 100, the number of lenses less than 0.5 mm may be 5 or less, and the number of lenses larger than 0.5 mm may be 4 or more. Accordingly, the optical system 1000 can be provided in a structure with a slim thickness. Among the plurality of lens surfaces (S1-S18), the number of surfaces with an effective radius of less than 1.50 mm may be smaller than the number of surfaces with an effective radius of 1.50 mm or more, for example, there may be 2 or less.

If the radius of curvature is described as an absolute value, the radius of curvature of the fifth surface S5 of the third lens 103 among the plurality of lenses 100 may be the largest among the lens surfaces, and the 17th surface having the minimum radius of curvature may be the largest among the lens surfaces. It may be more than 50 times the radius of curvature of (S17).

If the focal length is described as an absolute value, the focal length of the seventh lens 107 among the plurality of lenses 100 may be the largest among the lenses, and may be 30 times the focal length of the ninth lens 109, which has the minimum focal length. It could be more than twice that.

Table 1 is an example of lens data of the optical system of FIG. 1.

lens noodle curvature
Radius (mm) Thickness (mm)/
Spacing (mm) refractive index Abesu Size of effective diameter (mm) first lens side 1 3.341 0.662 1.546 47.760 3.410 side 2 8.379 0.189 3.097 second lens side 3
(Stop) 2747.234 0.254 1.684 17.360 2.999 page 4 14.140 0.091 2.861 third lens side 5 11.492 0.320 1.541 48.700 2.846 page 6 53.728 0.115 2.985 4th lens page 7 41.250 0.384 1.552 40.990 3.099 page 8 -33.710 0.556 3.235 5th lens page 9 -113.482 0.284 1.689 17.070 3.415 page 10 20.709 0.183 3.735 6th lens page 11 -59.524 0.667 1.558 38.220 3.850 page 12 -8.696 0.071 4.339 7th lens Page 13 23.315 0.327 1.603 25.460 5.168 Page 14 25.079 0.993 5.849 8th lens Page 15 5.834 0.791 1.534 55.700 6.829 Page 16 21.168 1.862 7.835 9th lens Page 17 -2.808 0.691 1.534 55.700 8.473 Page 18 91.527 0.185 11.800 filter Infinity 0.11 14.939 Infinity 0.55 15.043 image sensor Infinity 16.007

Table 1 shows the radius of curvature at the optical axis (OA) of the first to ninth lenses 101-109 of FIG. 1, the central thickness of the lens (mm), and the center spacing between the lenses. (distance) (mm), refractive index at d-line, Abbe's Number, and clear aperture (CA) size.

As shown in FIG. 4 , in the first embodiment, at least one lens surface among the plurality of lenses 100 may include an aspherical surface with a 30th order aspherical coefficient. For example, the first to ninth lenses (101, 102, 103, 104, 105, 106, 107, 108, and 109) may include a lens surface having a 30th order aspheric coefficient. As described above, an aspheric surface with a 30th order aspheric coefficient (a value other than “0”) can particularly significantly change the aspherical shape of the peripheral area, so the optical performance of the peripheral area of the field of view (FOV) can be well corrected.

FIG. 5 is a graph showing the diffraction MTF characteristics of the optical system 1000 according to the first embodiment, and FIG. 6 is a graph showing the aberration characteristics. The aberration graph in Figure 6 is a graph measuring spherical aberration, astigmatic field curves, and distortion from left to right. In FIG. 6, the X-axis may represent focal length (mm) and distortion (%), and the Y-axis may represent the height of the image. In addition, the graph for spherical aberration is a graph for light in the wavelength band of about 435 nm, about 486 nm, about 546 nm, about 587 nm, and about 656 nm, and the graph for astigmatism and distortion is a graph for light in the wavelength band of about 546 nm. .

In the aberration diagram of FIG. 6, it can be interpreted that the closer each curve is to the Y-axis, the better the aberration correction function. Referring to FIG. 6, the optical system 1000 according to the embodiment has measured values in most areas along the Y-axis. It can be seen that it is adjacent to . That is, the optical system 1000 according to the embodiment has improved resolution and can have good optical performance not only in the center but also in the periphery of the field of view (FOV).

<Second Embodiment>

FIG. 8 is a configuration diagram of an optical system according to the second embodiment, FIG. 9 is data about the gap between two adjacent lenses in the optical system of FIG. 8, and FIG. 10 is data about the aspheric coefficient of each lens surface in the optical system of FIG. 8. Data, FIG. 11 is a graph of the diffraction MTF (Diffraction MTF) of the optical system of FIG. 8, FIG. 12 is a graph showing the aberration characteristics of the optical system of FIG. 8, and FIG. 13 is a graph of the nth lens and This is a graph showing the height in the optical axis direction according to the distance in the first direction (Y) with respect to the object side and the sensor side in the n-1th lens. In describing the second embodiment, the description of the same structure or material as that of the first embodiment will be omitted, and the description of the first embodiment may be optionally included.

8 to 13, the optical system 1000 according to the second embodiment includes a plurality of lenses 100A, and the plurality of lenses 100A include a first lens 111 and a second lens ( 112), a third lens 113, a fourth lens 114, a fifth lens 115, a sixth lens 116, an eighth lens 118, and a ninth lens 119. . The first to ninth lenses 111-119 may be sequentially arranged along the optical axis OA of the optical system 1000.

The shape and refractive power of the lens surfaces of the first to ninth lenses 111 to 119 refer to the description of the first embodiment, and the shape or refractive power of each lens surface can be selectively applied from the disclosed contents. . Additionally, the aspherical coefficients of the first to eighteenth surfaces (S1 to S18) of the first to ninth lenses (111 to 119) can be expressed as shown in FIG. 10.

The first lens group G1 may include first to fourth lenses 111, 112, 113, and 114, and the second lens group G2 may include fifth to ninth lenses 115, 116, 117, 118, and 119. The optical axis distance of the sensor side of the fourth lens 114 from the object side of the first lens 111 is the distance between the object side of the fifth lens 115 and the sensor side of the ninth lens 119. It may be smaller than the optical axis distance. The optical axis distance of the sensor side of the ninth lens 119 from the object side of the fifth lens 115 is the distance between the object side of the first lens 111 and the sensor side of the fourth lens 114. It may be two or more times the optical axis distance, for example, two to three times the range.

The optical axis distance (TD) from the object-side surface of the first lens 111 to the sensor-side surface of the ninth lens 119 is 10 mm or less, and may be, for example, 7 mm to 10 mm. The optical axis distance from the object-side surface of the fifth lens 115 to the sensor-side surface of the ninth lens 119 may be 65% or more of TD, for example, in the range of 65% to 75%. Among the lenses 100A, the minimum optical axis spacing between two adjacent lenses is less than 0.1 mm, and the maximum optical axis spacing may be 20 times or more than the minimum optical axis spacing, for example, 1.5 mm or more. Here, the minimum optical axis distance is the optical axis distance between the second and third lenses (112 and 113), and the maximum optical axis distance is the optical axis distance between the eighth and ninth lenses (118 and 119).

The minimum center thickness of each lens among the lenses 100A, the edge thickness of the lenses 100A, the center spacing between the lenses 100A, and the edge spacing between adjacent lenses may be determined by applying the description of the first embodiment. You can. Additionally, among the lenses 100A, the contents of the first embodiment can be applied to the effective radius, Abbe number, refractive index, focal length, and radius of curvature. As shown in FIG. 14, the virtual straight line connecting the ends of the effective areas of the object-side surface and the sensor-side surface of the fourth lens 114 to the ninth lens 119 satisfies the formula y = 0.327x -0.3707, The correlation coefficient (R ² ) for the straight line may be 0.90 or more. The closer the correlation coefficient is to 1, the more likely it is to match the straight line connecting the ends of the region. Here, the angle of the straight line with the optical axis OA may be in the range of 40 to 50 degrees. Additionally, the fitting coefficient of the quadratic function connecting the effective radii of the lenses of the first lens group (G1) and the second lens group (G2) may be in the range of 0.12 ± 0.05.

At the critical points of the plurality of lenses 100A, the object-side surface and the sensor-side surface of the first to fourth lenses 111-114 may be provided without critical points. Differently, the object-side surface and/or the sensor-side surface of at least one of the first to fourth lenses 111-114 may have a critical point. The sensor side of the fifth lens 115 may have at least one critical point and may be located in a range of 26% to 36% of the effective radius based on the optical axis OA. The object-side surface of the seventh lens 117 may have at least one critical point, and may be disposed within 55% or less of the effective radius, for example, in the range of 47% to 55%, based on the optical axis OA. The sensor side of the seventh lens 117 may have at least one critical point, and may be disposed at 67% or more of the effective radius, for example, in the range of 67% to 77%, based on the optical axis OA.

The eighth lens 118 may have a critical point on at least one or both of the 15th and 16th surfaces S15 and S16. For example, the 15th and 16th surfaces S15 and S16 may both have critical points. The critical point of the fifteenth surface S15 may be located at a distance of 54% or more of the effective radius of the fifteenth surface S15 from the optical axis OA, for example, in the range of 54% to 64% or in the range of 57% to 61%. You can. The critical point of the 16th surface (S16) is at a distance of 33% or more of the effective radius (r8) of the 16th surface (S16) from the optical axis (OA), for example, in the range of 33% to 43% or 35% to 45%. can be located Accordingly, the 15th and 16th surfaces S15 and S16 can diffuse the light incident through the seventh lens 117. The positions of the critical points of the 15th and 16th lenses (S15 and S16) may be located further outside the critical points of the seventh lens 117 based on the optical axis OA.

Among the 17th and 18th surfaces S17 and S18 of the ninth lens 119, the 18th surface S18 on the sensor side may have at least one critical point. For example, the 17th surface S17 may be provided without a critical point, and the critical point of the 18th surface S18 is 40% of the effective radius r9 of the 18th surface S18 at the optical axis OA. It may be located at a distance below, for example, in the range of 25% to 40%. Accordingly, the 17th and 18th surfaces S17 and S18 can diffuse the light refracted through the eighth lens 118 to the periphery of the image sensor 300.

Figure 13 shows the height in the optical axis direction according to the distance in the first direction (Y) from the optical axis (OA) with respect to the object-side 15th surface (S15) and the sensor-side 16th surface (S16) in the eighth lens 118, This is a graph showing the height in the optical axis direction according to the distance in the first direction (Y) from the optical axis (OA) with respect to the 17th surface (S17) on the object side and the 18th surface (S18) on the sensor side of the ninth lens 119. In Figure 13, L8 is the 8th lens, L8S1 is the 15th surface, L8S2 is the 16th surface, L9 is the 9th lens, L9S1 is the 17th surface, and L9S2 is the 18th surface. The 15th surface L8S1 and the 16th surface L8S2 of the eighth lens 118 are located on the sensor side (+) and the object side (-) based on the straight line perpendicular to the center (0) of each lens surface, so 0.5mm It can be seen that the critical point is between 1 and 3 mm, and the critical point position of L8S1 protrudes in a more positive (+) direction from the straight lines passing through the point orthogonal to the optical axis OA. It can be seen that L9S2, which is the 18th surface of the ninth lens 109, is located at a critical point, that is, 2.5 mm or less in the area adjacent to the center (0), when viewed based on a straight line perpendicular to the center (0).

The positions of the critical points of the eighth and ninth lenses 118 and 119 are preferably located at positions that satisfy the above-mentioned range in consideration of the optical characteristics of the optical system 1000. In detail, it is desirable that the position of the critical point satisfies the above-mentioned range for controlling optical characteristics such as chromatic aberration, distortion characteristics, aberration characteristics, and resolution of the optical system 1000. Accordingly, the path of light emitted to the image sensor 300 through the lens can be effectively controlled. Accordingly, the optical system 1000 according to the embodiment may have improved optical characteristics not only in the center but also in the peripheral area of the field of view (FOV).

8 and 9 may provide a gap between two adjacent lenses, for example, as an area spaced apart at a predetermined distance (e.g., 0.1 mm) along the first direction (Y) based on the optical axis (OA). It can be represented, that is, it can be represented from the first interval D12 to the eighth interval D89, and the description of the first embodiment will be referred to.

Among the lenses 111-119, the maximum central thickness may be at least twice the minimum central thickness, for example, in the range of 2 to 4 times. The eighth lens 118 having a maximum central thickness may be more than twice that of the fifth lens 115, for example, in the range of 2 to 4 times.

Among the plurality of lenses 100A, the number of lenses with a center thickness of less than 0.5 mm may be greater than the number of lenses with a center thickness of 0.5 mm or more. Among the plurality of lenses 100A, the number of lenses less than 0.5 mm may be 5 or less, and the number of lenses larger than 0.5 mm may be 4 or more. Accordingly, the optical system 1000 can be provided in a structure with a slim thickness. Among the plurality of lens surfaces (S1-S18), the number of surfaces with an effective radius of less than 1.50 mm may be smaller than the number of surfaces with an effective radius of 1.50 mm or more, for example, there may be 2 or less.

If the radius of curvature is described as an absolute value, the radius of curvature of the fifth surface S5 of the third lens 113 among the plurality of lenses 100A may be the largest among the lens surfaces, and the 17th surface having the minimum radius of curvature may be the largest among the lens surfaces. It may be more than 50 times the radius of curvature of (S17).

If the focal length is described as an absolute value, the focal length of the seventh lens 117 among the plurality of lenses 100A may be the largest among the lenses, and may be 30 times the focal length of the ninth lens 119, which has the minimum focal length. It could be more than twice that.

Table 2 is an example of lens data of the optical system of FIG. 8.

lens noodle curvature
Radius (mm) Thickness (mm)/
Spacing (mm) refractive index Abesu Size of effective diameter (mm) first lens side 1 3.341 0.661 1.544 46.080 3.410 side 2 8.379 0.186 3.192 second lens side 3
(Stop) 4725.733 0.281 1.688 17.100 3.097 page 4 14.154 0.100 2.946 third lens side 5 11.478 0.339 1.534 55.700 2.927 page 6 66.709 0.111 3.072 4th lens page 7 48.452 0.409 1.551 41.650 3.172 page 8 -33.744 0.552 3.310 5th lens page 9 -113.158 0.281 1.690 17.000 3.453 page 10 20.031 0.173 3.779 6th lens page 11 -65.910 0.698 1.553 40.970 3.881 page 12 -8.692 0.103 4.339 7th lens Page 13 23.338 0.317 1.601 27.240 5.197 Page 14 24.782 0.990 5.865 8th lens Page 15 5.852 0.790 1.534 55.700 6.825 Page 16 20.938 1.856 7.828 9th lens Page 17 -2.808 0.689 1.535 54.250 8.441 Page 18 92.369 0.186 11.772 filter Infinity 0.11 14.823 Infinity 0.63 14.927 image sensor Infinity 0.000 16.031

Table 2 shows the radius of curvature at the optical axis (OA) of the first to ninth lenses 111-119 of FIG. 8, the thickness of the lens, the distance between lenses, d- It is about the size of the refractive index, Abbe's Number, and clear aperture (CA) in the line.

As shown in FIG. 9 , in the second embodiment, at least one lens surface among the plurality of lenses 100A may include an aspherical surface with a 30th order aspheric coefficient. For example, the first to tenth lenses 111-119 may include a lens surface having a 30th order aspheric coefficient. As described above, an aspheric surface with a 30th order aspheric coefficient (a value other than “0”) can particularly significantly change the aspherical shape of the peripheral area, so the optical performance of the peripheral area of the field of view (FOV) can be well corrected.

FIG. 11 is a graph of the diffraction MTF characteristics of the optical system 1000 according to the second embodiment, and FIG. 12 is a graph of the aberration characteristics. The aberration graph in Figure 12 is a graph measuring spherical aberration, astigmatic field curves, and distortion from left to right. In FIG. 12, the X-axis may represent focal length (mm) and distortion (%), and the Y-axis may represent the height of the image. In addition, the graph for spherical aberration is a graph for light in the wavelength band of about 435 nm, about 486 nm, about 546 nm, about 587 nm, and about 656 nm, and the graph for astigmatism and distortion is a graph for light in the wavelength band of about 546 nm. .

In the aberration diagram of FIG. 12, it can be interpreted that the closer each curve is to the Y-axis, the better the aberration correction function. Referring to FIG. 12, the optical system 1000 according to the embodiment has measured values in most areas along the Y-axis. It can be seen that it is adjacent to . That is, the optical system 1000 according to the embodiment has improved resolution and can have good optical performance not only in the center but also in the periphery of the field of view (FOV).

Among the lenses 100 and 100A of the optical system 1000 according to the above-described first and second embodiments, the number of lenses with an Abbe number of 45 or more, for example, in the range of 45 to 70, may be 4, and the number of lenses with a refractive index of 1.6 or more, for example, 1.6 to 1.6 The number of lenses in the 1.7 range can be 3. Accordingly, the optical system 1000 can implement good optical performance in the center and periphery of the field of view (FOV) and have improved aberration characteristics.

The optical system 1000 according to the first and second embodiments disclosed above may satisfy at least one or two of the equations described below. Accordingly, the optical system 1000 according to the embodiment may have improved optical characteristics. For example, when the optical system 1000 satisfies at least one mathematical equation, the optical system 1000 can effectively control aberration characteristics such as chromatic aberration and distortion aberration, not only in the center but also in the periphery of the field of view (FOV). It can have good optical performance. Additionally, the optical system 1000 may have improved resolution and may have a slimmer and more compact structure. In addition, the meaning of the thickness of the lens at the optical axis (OA), the spacing at the optical axis (OA) of adjacent lenses, and the spacing at the edges described in the equations may be referred to FIGS. 3 and 9.

[Equation 1]

0.2< L1_CT / (L2_CT+L3_CT) < 2

In Equation 1, L1_CT means the thickness (mm) at the optical axis (OA) of the first lens (101, 111), and L2_CT means the thickness (mm) at the optical axis (OA) of the second lens (102, 112). And L3_CT means the thickness (mm) at the optical axis (OA) of the third lens (103, 113). When the optical system 1000 according to the embodiment satisfies Equation 1, the optical system 1000 can improve aberration characteristics.

[Equation 2]

1 < L3_CT / L3_ET < 3

In Equation 2, L3_CT means the thickness (mm) at the optical axis (OA) of the third lens (103, 113), and L3_ET means the thickness (mm) in the optical axis (OA) direction at the end of the effective area of the third lens (103, 113) mm). In detail, L3_ET is the distance in the optical axis (OA) direction between the effective area end of the fifth surface (S5) of the third lens (103, 113) and the effective area end of the sixth surface (S6) of the third lens (103, 113). it means. When the optical system 1000 according to the embodiment satisfies Equation 2, the optical system 1000 may have improved chromatic aberration control characteristics.

[Equation 2-1]

1 < L1_CT / L1_ET < 5

In Equation 2-1, L1_ET refers to the thickness (mm) in the optical axis (OA) direction at the ends of the effective area of the first lens 101 and 111. When the optical system 1000 according to the embodiment satisfies Equation 2-1, the optical system 1000 may have improved chromatic aberration control characteristics.

[Equation 2-2]

0.5 < SD / TD < 1

The SD is the optical axis distance (mm) from the aperture to the 18th surface (S18) on the sensor side of the ninth lens (109, 119), and the TD is the optical axis distance (mm) from the first surface (S1) on the object side of the first lens (101, 111). This is the optical axis distance (mm) to the 18th surface (S18) on the sensor side of the 9th lens (109, 119). The aperture may be disposed around the object-side surface of the third lens 103 and 113. When the optical system 1000 according to the embodiment satisfies Equation 2-2, the chromatic aberration of the optical system 1000 may be improved.

[Equation 2-3]

1 < |f_G2 /f_G1| < 10

The f_G1 is the focal length of the first lens group (G1), and the f_G2 is the focal length of the second lens group (G2). When the optical system 1000 according to the embodiment satisfies Equation 2-3, the chromatic aberration of the optical system 1000 may be improved. That is, as the value of Equation 2-3 approaches 1, the distortion aberration can be reduced.

[Equation 3]

1 < L9_ET / L9_CT < 5

In Equation 3, L9_CT means the thickness (mm) at the optical axis (OA) of the ninth lens (109, 119), and L9_ET means the thickness (mm) in the optical axis (OA) direction at the end of the effective area of the ninth lens (109, 119) mm). In detail, L9_ET is the optical axis (OA) between the effective area end of the object-side 17th surface S17 of the ninth lens 109,119 and the effective area end of the sensor-side 18th surface S18 of the ninth lens 109,119. ) refers to the direction distance. When the optical system 1000 according to the embodiment satisfies Equation 3, the optical system 1000 can affect the reduction of distortion aberration and have improved optical performance.

[Equation 4]

1.6 < n2

In Equation 4, n2 means the refractive index at the d-line of the second lenses 102 and 112. When the optical system 1000 according to the embodiment satisfies Equation 4, the optical system 1000 can improve chromatic aberration characteristics.

[Equation 4-1]

1.50 < n1 <1.6

1.50 < n9 <1.6

In Equation 4-1, n1 is the refractive index at the d-line of the first lens 101 and 111, and n9 is the refractive index at the d-line of the ninth lens 109 and 119. 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.

[Equation 5]

0.5 < L9S2_max_sag to Sensor < 2

In Equation 5, L9S2_max_sag to Sensor means the distance (mm) in the optical axis (OA) direction from the maximum Sag value of the 14th surface S14 on the sensor side of the ninth lens 109, 119 to the image sensor 300. For example, L9S2_max_sag to Sensor means the distance (mm) in the optical axis (OA) direction from the center of the ninth lens 109 and 119 to the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 5, the optical system 1000 secures a space where the filter 500 can be placed between the plurality of lenses 100 and the image sensor 300. This allows for improved assembling. Additionally, when the optical system 1000 satisfies Equation 5, the optical system 1000 can secure a gap for module manufacturing.

In the lens data for the first and second embodiments, the position of the filter 500, the spacing between the last lens and the filter 500 in detail, and the spacing between the image sensor 300 and the filter 500 are determined by the optical system 1000. This position is set for convenience of design, and the filter 500 can be freely arranged within a range that does not contact the last lens and the image sensor 300. Accordingly, the value of L9S2_max_sag to Sensor in the lens data may be equal to the distance on the optical axis (OA) between the object side of the filter 500 and the top surface of the image sensor 300, which is the distance of the optical system 1000. It may be the same as the back focal length (BFL), and the position of the filter 500 can be moved within a range that does not contact the last lens and the image sensor 300, respectively, so that good optical performance can be achieved. That is, the distance between the critical point P1 and the image sensor 300 on the 18th surface S18 of the ninth lens 109 and 119 is minimal, and may gradually increase toward the end of the effective area.

[Equation 6]

1 < BFL / L9S2_max_sag to Sensor < 2

In Equation 6, the back focal length (BFL) is the optical axis (OA) from the center of the 18th surface (S18) on the sensor side of the ninth lens (109, 119) closest to the image sensor (300) to the upper surface of the image sensor (300). ) means the distance (mm) from

The L9S2_max_sag to Sensor means the distance (mm) in the optical axis (OA) direction from the maximum Sag (Sagittal) value of the 18th surface (S18) of the ninth lens (109, 119) to the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 6, the optical system 1000 can improve distortion aberration characteristics and have good optical performance in the peripheral area of the field of view (FOV). Here, the maximum Sag value may be the critical point position.

[Equation 7]

30 < |L9S1_max slope| < 60

In Equation 7, L9S1_max slope means the maximum value (Degree) of the tangential angle measured on the 17th surface (S17) on the object side of the ninth lens (109, 119). In detail, in the 17th surface S17, L7S1_max slope means the angle value (Degree) of the point having the largest tangent angle with respect to an imaginary line extending in a 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.

[Equation 8]

0.2 < L8S2 Inflection Point < 0.6

In Equation 8, L8S2 Inflection Point may mean the position of the critical point located on the 16th surface (S16) on the sensor side of the 8th lens (108, 118). In detail, the L8S2 Inflection Point has the optical axis (OA) as the starting point, the end point of the effective area of the 16th surface (S16) of the eighth lens (108, 118), and the end point of the effective area of the 16th surface (S16) of the eighth lens (108, 118). When the distance to the end of the effective area is set to 1, it may be the distance to the critical point. When the optical system 1000 according to the embodiment satisfies Equation 8, influence on the slim rate of the optical system 1000 can be suppressed.

[Equation 9]

1 < D89_CT / D89_min < 40

In Equation 9, D89_CT means the distance (mm) between the eighth lenses 108 and 118 and the ninth lenses 109 and 119 on the optical axis (OA). In detail, the D89_CT means the distance (mm) on the optical axis OA between the 16th surface S16 of the eighth lens 108 and 118 and the 17th surface S17 of the ninth lens 109 and 119. The D89_min refers to the minimum distance (mm) among the distances in the optical axis (OA) direction between the eighth lenses (108, 118) and the ninth lenses (109, 119). When the optical system 1000 according to the embodiment satisfies Equation 9, the optical system 1000 can improve distortion aberration characteristics and have good optical performance in the peripheral area of the field of view (FOV).

[Equation 10]

0 < D67_CT / D67_ET < 0.5

In Equation 10, D67_CT means the distance (mm) between the sixth lenses 106 and 116 and the seventh lenses 107 and 117 on the optical axis (OA). The D67_ET is the optical axis spacing at the ends of the effective area between the sixth lens 106 and 116 and the seventh lens 107 and 117. When the optical system 1000 according to the embodiment satisfies Equation 10, it can have good optical performance even in the center and periphery of the field of view (FOV). Additionally, the optical system 1000 can reduce distortion and thus have improved optical performance.

[Equation 11]

0.01 < D12_CT / D45_CT < 1

In Equation 11, D12_CT means the optical axis spacing (mm) between the first lenses 101 and 111 and the second lenses 102 and 112, and D45_CT means the distance between the fourth lenses 104 and 114 and the fifth lenses 105 and 115. It means the distance (mm) from the optical axis. When the optical system 1000 according to the embodiment satisfies Equation 11, the optical system 1000 can improve aberration characteristics, and control the size of the optical system 1000, for example, to reduce the total track length (TTL). can do.

[Equation 11-1]

3 < CA_L9S2 / D89_CT < 20

In Equation 11-4, CA_L9S2 is the effective diameter of the largest lens surface, and is the effective diameter of the 18th surface (S18) on the sensor side of the ninth lens (109, 119). D89_CT is the optical axis spacing between the 8th lens (108,118) and the 9th lens (109,119). When the optical system 1000 according to the embodiment satisfies Equation 11-1, the optical system 1000 can improve aberration characteristics and control total track length (TTL) reduction.

[Equation 12]

1 < L1_CT / L2_CT < 5

In Equation 12, L1_CT means the thickness (mm) at the optical axis (OA) of the first lens (101, 111), and L2_CT means the thickness (mm) at the optical axis (OA) of the second lens (102, 112). do. When the optical system 1000 according to the embodiment satisfies Equation 12, the optical system 1000 may have improved aberration characteristics. Additionally, the optical system 1000 has good optical performance at a set angle of view and can control total track length (TTL).

[Equation 13]

1 < L6_CT / L7_CT < 5

In Equation 13, L6_CT means the thickness (mm) at the optical axis (OA) of the sixth lens (106, 116), and L7_CT means the thickness (mm) at the optical axis (OA) of the seventh lens (107, 117). do. When the optical system 1000 according to the embodiment satisfies Equation 13, the optical system 1000 can reduce the manufacturing precision of the eighth lenses 108 and 118 and the ninth lenses 109 and 119, and adjust the angle of view (FOV). Optical performance in the center and periphery can be improved.

[Equation 14]

2 < |L7R2 / L8R1| < 10

In Equation 14, L7R2 refers to the radius of curvature (mm) of the 14th surface (S14) of the seventh lens (107, 117), and L8R1 refers to the radius of curvature (mm) of the 15th surface (S15) of the eighth lens (108, 118). mm). When the optical system 1000 according to the embodiment satisfies Equation 14, the aberration characteristics of the optical system 1000 may be improved.

[Equation 15]

0 < (D67_CT - D67_ET) / (D67_CT) < 2

In Equation 15, D67_CT means the optical axis spacing (mm) between the sixth lens (106,116) and the seventh lens (107,117), and D67_ET means the optical axis spacing (mm) between the sixth lens (106,116) and the seventh lens (107,117). This means the edge side spacing (mm). When the optical system 1000 according to the embodiment satisfies Equation 15, distortion can be reduced and improved optical performance can be achieved. When the optical system 1000 according to the embodiment satisfies Equation 15, the optical system 1000 can reduce the manufacturing precision of the lenses of the second lens group G2, and the optical system 1000 in the center and periphery of the field of view (FOV) can be adjusted. Performance can be improved.

[Equation 16]

1 < CA_L1S1 / CA_L3S1 < 1.5

In Equation 16, CA_L1S1 refers to the clear aperture (CA) size (mm) of the first surface (S1) of the first lens (101, 111), and CA_L3S1 refers to the fifth surface (mm) of the third lens (103, 113). It means the effective diameter (CA) size (mm) of S5)). When the optical system 1000 according to the embodiment satisfies Equation 16, the optical system 1000 can control light incident on the first lens group G1 and have improved aberration control characteristics.

[Equation 17]

1 < CA_L7S2 / CA_L4S2 < 5

In Equation 17, CA_L4S2 means the effective diameter (CA) size (mm) of the eighth surface (S8) of the fourth lens (104, 114), and CA_L7S2 means the size (mm) of the 14th surface (S14) of the seventh lens (107, 117). Effective diameter (CA) means size (mm). When the optical system 1000 according to the embodiment satisfies Equation 17, the optical system 1000 can control light incident on the second lens group G2 and improve aberration characteristics.

[Equation 18]

0.5 < CA_L3S2 / CA_L4S1 < 1.5

In Equation 18, CA_L3S2 means the effective diameter (CA) size (mm) of the sixth surface (S6) of the third lens (103, 113), and CA_L4S1 means the size (mm) of the seventh surface (S7) of the fourth lens (104, 114). Effective diameter (CA) means size (mm). When the optical system 1000 according to the embodiment satisfies Equation 18, the optical system 1000 can improve chromatic aberration and control vignetting for optical performance.

[Equation 19]

0.5 < CA_L5S2 / CA_L7S2 < 1

In Equation 19, CA_L5S2 refers to the effective diameter size (mm) of the 10th surface (S10) of the fifth lens (105, 115), and CA_L7S2 refers to the effective diameter size (mm) of the 14th surface (S14) of the seventh lens (107, 117). mm). When the optical system 1000 according to the embodiment satisfies Equation 19, the optical system 1000 can improve chromatic aberration.

[Equation 20]

1 < D45_CT / D45_ET < 5

In Equation 8, D45_CT means the distance (mm) between the fourth lenses 104 and 114 and the fifth lenses 105 and 115 on the optical axis (OA). The D45_ET refers to the distance (mm) in the optical axis (OA) direction from the ends of the effective areas of the fourth lenses 104 and 114 and the fifth lenses 105 and 115. When the optical system 1000 according to the embodiment satisfies Equation 20, the optical system 1000 can reduce chromatic aberration, improve aberration characteristics, and control vignetting for optical performance. .

[Equation 21]

0 < D78_CT / D78_ET < 3

In Equation 21, D78_CT means the distance (mm) between the seventh lenses 107 and 117 and the eighth lenses 108 and 118 on the optical axis (OA). The D78_ET is the distance (mm) in the direction of the optical axis (OA) between the effective area end of the 14th surface (S14) of the seventh lens (107, 117) and the effective area end of the 15th surface (S15) of the eighth lens (108, 118). means. When the optical system 1000 according to the embodiment satisfies Equation 21, good optical performance can be achieved even in the center and peripheral areas of the field of view (FOV), and distortion can be suppressed.

[Equation 22]

0 < D78_max / D89_CT < 2

In Equation 22, D78_Max means the maximum distance (mm) between the seventh lenses 107 and 117 and the eighth lenses 108 and 118. In detail, D78_Max refers to the maximum distance between the 14th surface (S14) of the seventh lens (107, 118) and the 15th surface (S15) of the eighth lens (108, 118). D89_CT is the optical axis spacing between the 8th lens (108,118) and the 9th lens (109,119). When the optical system 1000 according to the embodiment satisfies Equation 22, optical performance can be improved in the periphery of the field of view (FOV), and distortion of aberration characteristics can be suppressed.

[Equation 23]

1 < L5_CT / D56_CT < 5

In Equation 23, L5_CT means the thickness (mm) at the optical axis (OA) of the fifth lens (105,115), and D56_CT means the thickness (mm) between the fifth lens (105,115) and the sixth lens (106,116) on the optical axis (OA). means the spacing (mm). When the optical system 1000 according to the embodiment satisfies Equation 23, the optical system 1000 can reduce the effective diameter size of the fifth lens and the center spacing between adjacent lenses, and reduce the peripheral area of the field of view (FOV). Optical performance can be improved.

[Equation 24]

5 < L6_CT / D67_CT < 20

In Equation 24, L6_CT refers to the thickness (mm) at the optical axis (OA) of the sixth lens (106, 116), and D67_CT refers to the thickness (mm) between the sixth lens (106, 116) and the seventh lens (107, 117) at the optical axis (OA). means the spacing (mm). When the optical system 1000 according to the embodiment satisfies Equation 24, the optical system 1000 can reduce the effective diameter size and spacing of the 6th, 7th, and 8th lenses, and improve the optical performance of the peripheral area of the field of view (FOV). can be improved.

[Equation 25]

1 < L7_CT / D67_CT < 10

In Equation 25, L7_CT means the thickness (mm) at the optical axis (OA) of the seventh lens (107,117), and D67_CT means the thickness (mm) between the sixth lens (106,116) and the seventh lens (107,117) on the optical axis (OA). means the spacing (mm). When the optical system 1000 according to the embodiment satisfies Equation 24 or/and Equation 25, the optical system 1000 reduces the effective diameter size of the 6th and 7th lenses and the center spacing between the 8th and 9th lenses. It is possible to improve the optical performance of the peripheral area of the field of view (FOV).

[Equation 26]

50 < |L5R2 / L5_CT| < 400

In Equation 26, L5R2 refers to the radius of curvature (mm) of the tenth surface (S10) of the fifth lens (105, 115), and L5_CT refers to the thickness (mm) at the optical axis of the fifth lens (105, 115). . When the optical system 1000 according to the embodiment satisfies Equation 26, the optical system 1000 controls the refractive power of the fifth lens 105 and 115 and improves the optical performance of the light incident on the second lens group G2. You can.

[Equation 27]

1 < L5R1 / L7R1 < 10

In Equation 27, L5R1 refers to the radius of curvature (mm) of the ninth surface (S9) of the fifth lens (105, 115), and L7R1 refers to the radius of curvature (mm) of the thirteenth surface (S13) of the seventh lens (107, 117). mm). When the optical system 1000 according to the embodiment satisfies Equation 27, the optical performance can be improved by controlling the shape and refractive power of the fifth and seventh lenses, and the optical performance of the second lens group (G2) can be improved. there is.

[Equation 28]

0 < L_CT_Max / Air_CT_Max < 2

In Equation 28, L_CT_max refers to the thickest thickness (mm) at the optical axis (OA) of each of the plurality of lenses (100, 100A), and Air_CT_max refers to the air gap between the plurality of lenses (100, 100A). It means the maximum value of (air gap) or gap (mm). When the optical system 1000 according to an embodiment satisfies Equation 28, the optical system 1000 has good optical performance at a set angle of view and focal distance, and the optical system 1000 can be reduced in size, for example, by reducing the size of the optical system 1000 (total track TTL). length) can be reduced.

[Equation 29]

0.5 < ΣL_CT / ΣAir_CT < 2

In Equation 29, ΣL_CT means the sum of the thicknesses (mm) at the optical axis (OA) of each of the plurality of lenses (100, 100A), and ΣAir_CT means the thickness (mm) between two adjacent lenses in the plurality of lenses (100, 100A). It means the sum of the intervals (mm) on the optical axis (OA). When the optical system 1000 according to an embodiment satisfies Equation 29, the optical system 1000 has good optical performance at a set angle of view and focal distance, and the optical system 1000 can be reduced in size, for example, by reducing the size of the optical system 1000 (total track TTL). length) can be reduced.

[Equation 30]

10 < ΣIndex <30

In Equation 30, ΣIndex means the sum of the refractive indices at the d-line of each of the plurality of lenses (100, 100A). When the optical system 1000 according to the embodiment satisfies Equation 30, the TTL of the optical system 1000 can be controlled and improved resolution can be achieved.

[Equation 31]

10 < ΣAbb / ΣIndex <50

In Equation 31, ΣAbbe means the sum of Abbe's numbers of each of the plurality of lenses 100 and 100A. When the optical system 1000 according to the embodiment satisfies Equation 31, the optical system 1000 may have improved aberration characteristics and resolution.

[Equation 32]

0 < |Max_distortion| < 5

In Equation 32, Max_distortion means the maximum value of distortion in the area 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 Equation 32, the optical system 1000 can improve distortion characteristics.

[Equation 33]

0 < Air_ET_Max / L_CT_Max < 2

In Equation 33, L_CT_max refers to the thickest thickness (mm) among the thicknesses at the optical axis (OA) of each of the plurality of lenses (100, 100A), and Air_ET_Max is the maximum edge side spacing between two adjacent lenses. When the optical system 1000 according to the embodiment satisfies Equation 33, the optical system 1000 has a set angle of view and focal distance, and can have good optical performance in the periphery of the field of view (FOV).

[Equation 34]

0.5 < CA_L1S1 / CA_min < 2

In Equation 34, CA_L1S1 means the effective diameter (mm) of the first surface (S1) of the first lens (101, 111), and CA_Min is the smallest effective diameter (mm) among the effective diameters (mm) of the first to eighteenth surfaces (S1-S18). It means scripture. When the optical system 1000 according to the embodiment satisfies Equation 34, light incident through the first lenses 101 and 111 can be controlled, and a slim optical system can be provided while maintaining optical performance.

[Equation 35]

1 < CA_max / CA_min < 5

In Equation 35, CA_max refers to the largest effective diameter (mm) among the object side and sensor side of the plurality of lenses (100, 100A), and is the effective diameter (mm) of the first to eighteenth surfaces (S1-S18) It means the largest effective diameter among them. When the optical system 1000 according to the embodiment satisfies Equation 35, the optical system 1000 can provide a slim and compact optical system while maintaining optical performance.

[Equation 36]

1 < CA_max / CA_Aver < 3

In Equation 36, CA_max means the largest effective diameter (mm) of the object side and sensor side of the plurality of lenses, and CA_Aver means the average of the effective diameters of the object side and sensor side of the plurality of lenses. . When the optical system 1000 according to the embodiment satisfies Equation 36, a slim and compact optical system can be provided.

[Equation 37]

0.1 < CA_min / CA_Aver < 1

In Equation 37, CA_min means the smallest effective diameter (mm) among the object side and sensor side of the plurality of lenses. When the optical system 1000 according to the embodiment satisfies Equation 37, a slim and compact optical system can be provided.

[Equation 38]

0.1 < CA_max / (2×ImgH) < 1

In Equation 38, CA_max refers to the largest effective diameter among the object and sensor sides of the plurality of lenses (100, 100A), and ImgH is the center (0.0F) of the image sensor 300 that overlaps the optical axis (OA). ) refers to the distance (mm) from the diagonal end (1.0F). That is, the ImgH means 1/2 of the maximum diagonal length (mm) of the effective area of the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 38, the optical system 1000 has good optical performance in the center and periphery of the field of view (FOV) and can provide a slim and compact optical system. Here, the ImgH may range from 4mm to 10mm.

[Equation 39]

0.5 < TD / CA_max < 1.5

In Equation 39, TD is the maximum optical axis distance (mm) from the object side of the first lens group (G1) to the sensor side of the second lens group (G2). For example, it is the distance from the first surface (S1) of the first lens 101 to the 18th surface (S18) of the ninth lens (109, 119) on the optical axis (OA). When the optical system 1000 according to the embodiment satisfies Equation 39, a slim and compact optical system can be provided.

[Equation 40]

0 < F / L7R2 < 1

In Equation 40, F means the total focal length (mm) of the optical system 1000, and L7R2 means the radius of curvature (mm) of the 14th surface S14 of the seventh lens 107 and 117. When the optical system 1000 according to the embodiment satisfies Equation 40, the optical system 1000 can reduce the size of the optical system 1000, for example, reduce the total track length (TTL).

[Equation 41]

1 < F / L1R1 < 10

In Equation 41, L1R1 represents the radius of curvature (mm) of the first surface (S1) of the first lens (101, 111), and F represents the total focal length (mm). When the optical system 1000 according to the embodiment satisfies Equation 41, the optical system 1000 can reduce the size of the optical system 1000, for example, reduce the total track length (TTL).

[Equation 42]

1 < EPD / L9R2 < 10

In Equation 42, EPD refers to the size (mm) of the entrance pupil of the optical system 1000, and L9R2 refers to the radius of curvature (mm) of the 18th surface (S18) of the ninth lens (109, 119). it means. When the optical system 1000 according to the embodiment satisfies Equation 42, the optical system 1000 can control the overall brightness and have good optical performance in the center and periphery of the field of view (FOV).

[Equation 43]

0.5 < EPD / L1R1 < 8

Equation 42 shows the relationship between the size of the entrance pupil of the optical system and the radius of curvature of the first surface S1 of the first lenses 101 and 111, and can control incident light.

[Equation 44]

0 < f13 / f3 < 3

In Equation 44, f13 means the composite focal length of the 1-3 lenses, that is, the focal length (mm) of the first lens group, and f3 means the focal length (mm) of the third lenses 103 and 113. . When the optical system 1000 according to the embodiment satisfies Equation 44, it can have appropriate refractive power for controlling the light path incident on the first lens group and can improve resolution.

[Equation 45]

0.1 < f13 / F < 3

In Equation 45, F means the total focal length (mm) of the optical system 1000. Equation 45 establishes the relationship between the focal length (f13) of the first lens group (G1) and the total focal length. When the optical system 1000 according to the embodiment satisfies Equation 45, the optical system 1000 can control the total track length (TTL) of the optical system 1000.

[Equation 45-1]

f2 < 0

In Equation 45-1, f2 means the focal length (mm) of the second lens. If Equation 45-1 satisfies the above range, resolution can be improved by controlling the refractive power of the second lens, and the optical system can be provided in a slim and compact size. In Equation 45-1, for example, f2 may be in the range of -10 mm or more to -50 mm.

[Equation 45-2]

f23 < 0

In Equation 45-2, f23 means the composite focal length (mm) of the second and third lenses. If Equation 45-1 satisfies the above range, resolution can be improved by controlling the refractive power of the second and third lenses, and the optical system can be provided in a slim and compact size. In Equation 45-2, for example, f23 may be in the range of -50 mm or more to -100 mm.

[Equation 45-3]

0 < f13 < 20

In Equation 45-1, f13 means the composite focal length (mm) of the first, second, and third lenses. If Equation 45-3 satisfies the above range, the refractive power of the first, second, and third lenses can be controlled to control factors that affect reduction of distortion aberration. In Equation 45-3, for example, f13 may range from 5 mm to 15 mm.

[Equation 45-4]

-5 < f13/f2 < 0

If Equation 45-4 satisfies the above range, resolution can be improved by controlling the refractive power of the first, second, and third lenses, and the optical system can be provided in a slim and compact size. In Equation 45-1, for example, f13/f2 may be in the range of -0.001 mm to -0.49 mm.

[Equation 46]

-10 < f13 / f49 < 0

In Equation 46, f13 refers to the composite focal length (mm) of the first to third lenses, and f49 refers to the composite focal length (mm) of the fourth to ninth lenses. Equation 46 establishes the relationship between the focal length (f_G1) of the first lens group (G1) and the focal length (f_G2) of the second lens group (G2). In an embodiment, the composite focal length of the first to third lenses may have a positive (+) value, and the composite focal length of the fourth to ninth lenses may have a negative (-) value. When the optical system 1000 according to the embodiment satisfies Equation 46, the optical system 1000 can improve aberration characteristics such as chromatic aberration and distortion aberration.

[Equation 47]

2 < TTL < 20

In Equation 47, TTL (Total Track Length) means the distance (mm) on the optical axis (OA) from the vertex of the first surface (S1) of the first lens (101, 111) to the upper surface of the image sensor (300). do. By setting the TTL to less than 20 in Equation 47, a slim and compact optical system can be provided.

[Equation 48]

2 <ImgH

Equation 48 allows the diagonal size (2*ImgH) of the image sensor 300 to exceed 8 mm, thereby providing an optical system with high resolution. In the specification, * indicates multiplication.

[Equation 49]

BFL < 2.5

Equation 42 sets the BFL (Back focal length) to less than 2.5 mm, so that installation space for the filter 500 can be secured, and the assembly of components is improved through the gap between the image sensor 300 and the last lens. Combined reliability can be improved.

[Equation 50]

2 < F < 20

In Equation 50, the total focal length (F) can be set to suit the optical system.

[Equation 51]

FOV < 120

In Equation 51, FOV (Field of view) refers to the angle of view (Degree) of the optical system 1000, and can provide an optical system of less than 120 degrees. The FOV may be 70 degrees or more, for example, in the range of 70 degrees to 115 degrees.

[Equation 52]

0.5 < TTL / CA_max < 2

In Equation 52, CA_max refers to the largest effective diameter (mm) among the object side and sensor side of the plurality of lenses, and TTL (Total track length) refers to the first side (S1) of the first lens (101, 111). It means the distance (mm) on the optical axis (OA) from the vertex of to the upper surface of the image sensor 300. Equation 52 establishes the relationship between the total optical axis length of the optical system and the maximum effective diameter, thereby providing a slim and compact optical system.

[Equation 53]

0.5 <TTL/ImgH<3

Equation 53 can set the total optical axis length (TTL) of the optical system and the diagonal length (ImgH) of the optical axis of the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 53, the optical system 1000 applies a relatively large image sensor 300, for example, a large image sensor 300 of about 1 inch or so. It can secure a back focal length (BFL) and have a smaller TTL, enabling high image quality and a slim structure.

[Equation 54]

0.01 <BFL/ImgH<0.5

[Equation 54-1]

2 < Imgh / BFL < 10

Equations 54 and 54-1 can set the optical axis spacing between the image sensor 300 and the last lens and the diagonal length from the optical axis of the image sensor 300. When the optical system 1000 according to an embodiment satisfies Equation 54 or 54-1, the optical system 1000 includes a relatively large image sensor 300, for example, a large image sensor around 1 inch ( 300) can be secured, and the gap between the last lens and the image sensor 300 can be minimized, so that good optical characteristics can be obtained in the center and periphery of the field of view (FOV). .

[Equation 55]

7 <TTL/BFL<13

Equation 55 can set (unit, mm) the total optical axis length (TTL) of the optical system and the optical axis spacing (BFL) between the image sensor 300 and the last lens. When the optical system 1000 according to the embodiment satisfies Equation 55, the optical system 1000 secures BFL and can be provided in a slim and compact manner.

[Equation 56]

0.5 < F/TTL < 1.5

Equation 56 can set the total focal length (F) and total optical axis length (TTL) of the optical system 1000. Accordingly, a slim and compact optical system can be provided.

[Equation 57]

3 < F/BFL < 10

Equation 57 can set (unit, mm) the overall focal length (F) of the optical system 1000 and the optical axis spacing (BFL) between the image sensor 300 and the last lens. When the optical system 1000 according to the embodiment satisfies Equation 57, the optical system 1000 can have a set angle of view and an appropriate focal distance, and a slim and compact optical system can be provided. Additionally, the optical system 1000 can minimize the gap between the last lens and the image sensor 300 and thus have good optical characteristics in the peripheral area of the field of view (FOV).

[Equation 58]

0.1 < F/ImgH < 3

Equation 58 can set the total focal length (F, mm) of the optical system 1000 and the diagonal length (ImgH) at the optical axis of the image sensor 300. This optical system 1000 uses a relatively large image sensor 300, for example, around 1 inch, and may have improved aberration characteristics.

[Equation 59]

1 < F/EPD < 5

Equation 59 can set the total focal length (F, mm) and entrance pupil size of the optical system 1000. Accordingly, the overall brightness of the optical system can be controlled.

[Equation 60]

In Equation 60, Z is Sag and can mean the distance in the optical axis direction from any position on the aspherical surface to the vertex of the aspherical surface. The Y may refer to the distance from any position on the aspherical surface to the optical axis in a direction perpendicular to the optical axis. The c may refer to the curvature of the lens, and K may refer to the Conic constant. Additionally, A, B, C, D, E, and F may mean aspheric constants.

The optical system 1000 according to the embodiment may satisfy at least one or two of Equations 1 to 59. In this case, the optical system 1000 may have improved optical characteristics. In detail, when the optical system 1000 satisfies at least one or two of Equations 1 to 59, the optical system 1000 has improved resolution and can improve aberration and distortion characteristics. In addition, the optical system 1000 can secure a back focal length (BFL) for applying a large-sized image sensor 300, and can minimize the gap between the last lens and the image sensor 300, thereby minimizing the angle of view ( It can have good optical performance in the center and periphery of the field of view (FOV). In addition, when the optical system 1000 satisfies at least one of Equations 1 to 59, it may include an image sensor 300 of a relatively large size, have a relatively small TTL value, and be slimmer. A compact optical system and a camera module having the same can be provided.

In the optical system 1000 according to an embodiment, the distance between the plurality of lenses 100 may have a value set according to the area.

Additionally, the following relationships can be established by embodiments of the invention.

The relationship between focal length, center thickness, Abbe number, and refractive index in each lens (L1-L9) can be set as shown in Table 3 below. In Table 3, F is the overall focal length, f# is the focal length of each lens (# is 1 to 9), Lfa is the lower limit value obtained by f#/F, and Lfb is the upper limit value obtained by f#/F. , CT# is the central thickness of each lens, ΣL_CT is the sum of the central thicknesses of each lens, LTa is the lower limit value obtained by CT#/ΣL_CT, and LTb is the upper limit value obtained by CT#/ΣL_CT. , vd# is the Abbe number of each lens, ΣAbb is the sum of the Abbe numbers of each lens, vda is the lower limit value obtained by vd#/ΣAbb, vdb is the upper limit value obtained by vd#/ΣAbb, n# is the refractive index of each lens, ΣIndex is the sum of the refractive indices of each lens, Lna is the lower limit value obtained by n#/ΣIndex, and Lnb is the upper limit value obtained by n#/ΣIndex.

f#/F CT#/ΣL_CT vd#/ΣAbb n#/ΣIndex Lfa Lfb LTa LTb vda vdb lna lna L1 1.090 1.634 0.121 0.181 0.110 0.165 0.087 0.130 L2 -2.309 -3.464 0.046 0.070 0.040 0.060 0.095 0.142 L3 3.023 4.534 0.059 0.088 0.112 0.168 0.087 0.130 L4 3.769 5.653 0.070 0.105 0.095 0.142 0.087 0.131 L5 -2.824 -4.236 0.052 0.078 0.039 0.059 0.095 0.142 L6 2.035 3.052 0.122 0.183 0.088 0.132 0.088 0.131 L7 57.327 85.991 0.060 0.090 0.059 0.088 0.090 0.135 L8 1.664 2.496 0.145 0.217 0.128 0.193 0.086 0.129 L9 -0.572 -0.857 0.126 0.189 0.128 0.193 0.086 0.129

The relationship between the center spacing (D12 to D89) between two adjacent lenses in each lens (L1 to L9), the maximum center spacing (D89) and other center spacings can be set as shown in Table 4 below.

In Table 4, D12_CT is the optical axis spacing of the 1st and 2nd lenses, D23_CT is the optical axis spacing of the 2nd and 3rd lenses, D34_CT is the optical axis spacing of the 3rd and 4th lenses, and D45_CT is the optical axis spacing of the 4th and 5th lenses. , D56_CT is the optical axis spacing of the 5th and 6th lenses, D67_CT is the optical axis spacing of the 6th and 7th lenses, D78_CT is the optical axis spacing of the 7th and 8th lenses, D89_CT is the optical axis spacing of the 8th and 9th lenses, ΣD is the sum of D12_CT to D89_CT, Da is the lower limit value obtained by the formula, and Db is the lower limit value obtained by the formula.

formula Da DB formula Da DB D12_CT/ΣD 0.037 0.056 D12_CT/D89_CT 0.081 0.122 D23_CT/ΣD 0.018 0.027 D23_CT/D89_CT 0.039 0.058 D34_CT/ΣD 0.023 0.034 D34_CT/ D89_CT 0.050 0.074 D45_CT/ΣD 0.110 0.164 D45_CT/ D89_CT 0.239 0.358 D56_CT/ΣD 0.036 0.054 D56_CT/ D89_CT 0.079 0.118 D67_CT/ΣD 0.014 0.021 D67_CT/ D89_CT 0.030 0.045 D78_CT/ΣD 0.196 0.293 D78_CT/ D89_CT 0.427 0.640 D89_CT/ΣD 0.367 0.551

The relationship between the effective diameter of the object side surface and the sensor side surface of each lens (L1-L9) and the maximum effective diameter can be set as shown in Table 5 below.

In Table 5, the effective radius from the object side of the first lens to the object side of the ninth lens is expressed as CA_L1S1 to CA_L9S1, the maximum effective diameter can be expressed as CA_L9S2, and CAa is the lower limit value obtained by the following formula, Cab is the upper limit value obtained by the following formula.

formula CAa CAb CA_L1S1/CA_L9S2 0.231 0.347 CA_L1S2/CA_L9S2 0.210 0.315 CA_L2S1/CA_L9S2 0.203 0.305 CA_L2S2/CA_L9S2 0.194 0.291 CA_L3S1/CA_L9S2 0.193 0.289 CA_L3S2/CA_L9S2 0.202 0.304 CA_L4S1/CA_L9S2 0.210 0.315 CA_L4S2/CA_L9S2 0.219 0.329 CA_L5S1/CA_L9S2 0.231 0.347 CA_L5S2/CA_L9S2 0.253 0.380 CA_L6S1/CA_L9S2 0.261 0.392 CA_L6S2/CA_L9S2 0.294 0.441 CA_L7S1/CA_L9S2 0.350 0.526 CA_L7S2/CA_L9S2 0.397 0.595 CA_L8S1/CA_L9S2 0.463 0.695 CA_L8S2/CA_L9S2 0.531 0.797 CA_L9S1/CA_L9S2 0.574 0.862

Table 6 shows the items of the above-described equations in the optical system 1000 according to the first and second embodiments, including the total track length (TTL), back focal length (BFL), and total focal length of the optical system 1000. F value, ImgH, focal length of each of the first to ninth lenses (f1, f2, f3, f4, f5, f6, f7, f8, f9), composite focal length, edge thickness (ET, Edge Thickness), etc. It is about. Here, the edge thickness of the lens refers to the thickness in the optical axis direction (Z) at the end of the effective area of the lens, and the unit is mm.

item Example 1 Example 2 F 7.099 8.448 f1 9.668 15.332 f2 -20.493 27.425 f3 26.822 14.949 f4 33.445 -13.406 f5 -25.058 89.423 f6 18.055 205.223 f7 508.717 -20.983 f8 14.766 11.338 f9 -5.072 -6.358 f_G1 10.746 10.684 f_G2 -59.657 -42.801 L1_ET 0.32571 0.315 L2_ET 0.34184 0.373 L3_ET 0.26860 0.280 L4_ET 0.26176 0.281 L5_ET 0.31848 0.319 L6_ET 0.30371 0.325 L7_ET 0.46851 0.466 L8_ET 0.45776 0.462 L9_ET 1.55162 1.572 D12_ET 0.117 0.114 D23_ET 0.044 0.048 D34_ET 0.131 0.128 D45_ET 0.339 0.327 D56_ET 0.125 0.118 D67_ET 0.582 0.625 D78_ET 0.502 0.504 D89_ET 0.252 0.247 E.P.D. 3.100 4.380 BFL 0.849 3.200 TD 8.441 0.923 Imgh 8.004 8.535 TTL 9.289 9.458 F-number 2.20 2.2 FOV 93.6 degrees 92.5 degrees

Table 7 shows the result values for Equations 1 to 59 described above in the optical system 1000 of FIG. 1. Referring to Table 4, it can be seen that the optical system 1000 satisfies at least one, two, or three of Equations 1 to 59. In detail, it can be seen that the optical system 1000 according to the embodiment satisfies all of Equations 1 to 59 above. Accordingly, the optical system 1000 can improve optical performance and optical characteristics in the center and periphery of the field of view (FOV).

math equation Example 1 Example 2 One 0.2< L1_CT / (L2_CT+L3_CT) < 2 1.151 1.066 2 1< L3_CT / L3_ET < 3 1.193 1.211 3 1 < L9_ET / L9_CT < 5 2.244 2.281 4 n2 > 1.6 1.684 1.688 5 0.5 < L9S2_max_sag to Sensor < 2 0.817 0.893 6 1 < BFL / L9S2_max_sag to Sensor < 2 1.039 1.033 7 30 < |L9S1_max slope| < 60 42.753 42.769 8 0.2 < L8S2 Inflection Point < 0.6 0.383 0.383 9 1 < D89_CT / D89_min < 40 4.140 4.209 10 0 < D67_CT / D67_ET < 0.5 0.121 0.165 11 0.01 <D12_CT / D45_CT < 1 0.340 0.337 12 1 < L1_CT / L2_CT < 5 2.601 2.353 13 1 < L6_CT / L7_CT < 5 2.041 2.205 14 2 < | L7R2 / L8R1 | < 10 4.299 4.235 15 0 < (D67_CT - D67_ET) / (D67_CT) < 2 0.414 0.369 16 1 < CA_L1S1 / CA_L3S1 < 1.5 1.198 1.165 17 1 < CA_L7S2 / CA_L4S2 < 5 1.808 1.772 18 0.5 < CA_L3S2 / CA_L4S1 < 1.5 0.963 0.968 19 0.5 < CA_L5S2 / CA_L7S2 < 1 0.638 0.644 20 1 < D45_CT / D45_ET < 5 1.640 1.688 21 0 < D78_CT / D89_ET < 3 1.978 1.963 22 0 < D78_max / D89_CT < 2 0.584 0.584 23 1 < L5_CT / D56_CT < 5 1.548 1.620 24 5 < L6_CT / D67_CT < 20 9.455 6.770 25 1 < L7_CT / D67_CT < 10 4.633 3.071 26 50 < |L5R2 / L5_CT| < 400 72.939 71.319 27 1 < L5R1 / L7R1 < 10 -4.867 -4.849 28 0 < L_CT_Max / Air_Max < 2 0.425 0.426 29 0.5 < ΣL_CT / ΣAir_CT < 2 1.079 1.096 30 10 < ΣIndex <30 14.241 14.230 31 10 < ΣAbb / ΣIndex <50 24.363 24.996 32 0 < |Max_distoriton| < 5 2.203 2.000 33 0 < Air_ET_Max / L_CT_Max < 2 0.735 0.791 34 0.5 < CA_L1S1 / CA_min <2 1.198 1.165 35 1 < CA_max / CA_min < 5 4.147 4.021 36 1 < CA_max / CA_Aver < 3 2.475 2.449 37 0.1 < CA_min / CA_Aver < 1 0.597 0.609 38 0.1 < CA_max / (2*ImgH) < 1 0.737 0.734 39 0.5 < TD / CA_max < 1.5 0.715 0.725 40 0 < F / L7R2 < 1 0.283 0.295 41 1 < F / L1R1 < 10 2.125 2.185 42 0 < EPD / L7R2 < 1 0.124 0.129 43 0.5 < EPD / L1R1 < 8 0.928 0.958 44 0 < f13 / f3 < 3 0.401 0.297 45 0.1 < f13 / F < 3 1.514 1.464 46 -10 < f13 / f49 < 0 -5.551 -4.006 47 2 < TTL < 20 9.289 9.458 48 2 <ImgH 8.004 8.016 49 BFL < 2.5 0.849 0.923 50 2 < F < 20 7.099 7.300 51 FOV < 120 93.600 92.500 52 0.5 < TTL / CA_max < 2 0.787 0.803 53 0.5 < TTL / (ImgH) < 3 1.161 1.180 54 0.01 <BFL/ImgH<0.5 0.106 0.115 55 7 <TTL/BFL<13 10.945 10.250 56 0.5 < F/TTL < 1.5 0.764 0.772 57 3 < F/BFL < 10 8.364 7.911 58 1 < F/ImgH < 3 0.887 0.911 59 1 < F/EPD < 5 2.290 2.281

Figure 15 is a diagram showing a camera module according to an embodiment applied to a mobile terminal.

Referring to FIG. 15, the mobile terminal 1 may include a camera module 10 provided on the rear side. The camera module 10 may include an image capturing function. Additionally, the camera module 10 may include at least one of an auto focus, zoom function, and OIS function.

The camera module 10 can process image frames of still images or videos obtained by the image sensor 300 in shooting mode or video call mode. The processed image frame 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 drawing, the camera module may be further disposed on the front of the mobile terminal 1.

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 optical system 1000 described above. Accordingly, the camera module 10 can have a slim structure and have improved distortion and aberration characteristics. Additionally, the camera module 10 can have good optical performance even in the center and peripheral areas of the field of view (FOV).

Additionally, the mobile terminal 1 may further include an autofocus device 31. The autofocus device 31 may include an autofocus function using a laser. The autofocus device 31 can be mainly used in conditions where the autofocus function using the image of the camera module 10 is deteriorated, for example, in close proximity of 10 m or less or in dark environments. The autofocus device 31 may include a light emitting unit including a vertical cavity surface emitting laser (VCSEL) semiconductor device, and a light receiving unit such as a photo diode that converts light energy into electrical energy.

Additionally, the mobile terminal 1 may further include a flash module 33. The flash module 33 may include a light emitting device inside that emits light. The flash module 33 can be operated by operating a camera of a mobile terminal or by user control.

The features, structures, effects, etc. described in the embodiments above are included in at least one embodiment of the present invention and are not necessarily limited to only one embodiment. Furthermore, the features, structures, effects, etc. illustrated in each embodiment can be combined or modified and implemented in other embodiments by a person with ordinary knowledge in the field to which the embodiments belong. Therefore, contents related to such combinations and modifications should be construed as being included in the scope of the present invention. In addition, although the above description has been made focusing on the examples, this is only an example and does not limit the present invention, and those skilled in the art will understand the above examples without departing from the essential characteristics of the present embodiment. You will be able to see that various modifications and applications are possible. For example, each component specifically shown in the examples can be modified and implemented. And these variations and differences in application should be construed as being included in the scope of the present invention as defined in the appended claims.

1st lens: 101,111
Second lens: 102, 112
Third lens: 103,113
4th lens: 104,114
5th lens: 105,115
6th lens: 106,116
7th Lens: 107,117
8th lens: 108,118
9th Lens: 109,119
Image sensor: 300
Filter: 500
Optics: 1000

Claims (20)

It includes first to ninth lenses disposed along the optical axis in the direction from the object side to the sensor side,
The first lens has positive refractive power at the optical axis,
The second lens has negative refractive power at the optical axis,
The third lens has positive refractive power at the optical axis,
The fourth lens has positive refractive power at the optical axis,
The ninth lens has negative refractive power at the optical axis,
The first lens has a meniscus shape convex from the optical axis toward the object,
The ninth lens has a concave shape on the object side of the optical axis and a concave shape on the sensor side,
An optical system that satisfies the following equation.
Equation: 0.2< L1_CT / (L2_CT + L3_CT) < 2
(L1_CT is the thickness at the optical axis of the first lens, L2_CT is the thickness at the optical axis of the second lens, and L3_CT is the thickness at the optical axis of the third lens) According to claim 1,
The third lens has a convex shape on the object side at the optical axis,
The fourth lens has a convex shape on the sensor side at the optical axis,
The sixth lens is an optical system having a convex shape on the sensor side at the optical axis. According to clause 2,
The object-side and sensor-side surfaces of the first to fourth lenses are provided without a critical point from the optical axis to the end of the effective area,
An optical system in which the object-side surface and the sensor-side surface of the eighth lens have at least one critical point. According to clause 3,
The object-side surface of the ninth lens is provided without a critical point from the optical axis to the end of the effective area,
The sensor-side surface of the ninth lens has a critical point disposed further outside the sensor-side critical point of the eighth lens based on the optical axis. According to any one of claims 1 to 4,
The relationship between the optical axis spacing (BFL) from the image surface of the image sensor to the sensor side of the last lens and the Imgh is
Equation: 0.01<BFL/ImgH<0.5
An optical system that satisfies . According to any one of claims 1 to 4,
An optical system in which the focal lengths of the first, second, and third lenses satisfy the following equation.
f2 < 0
f23 < 0
(f2 is the focal length of the second lens, and f23 is the composite focal length of the second and third lenses) According to clause 6,
An optical system in which the focal lengths of the first, second, and third lenses satisfy the following equation.
Equation: 0 < f13 < 20
Equation: -5 < f13/f2 < 0
(f13 is the composite focal length of the 1st-3rd lens, and f2 is the focal length of the 2nd lens) According to any one of claims 1 to 4,
The relationship between the total focal length (F) and the composite focal length (f13) of the first to third lenses is
Equation: 0.1 < f13 / F < 3
An optical system that satisfies . According to any one of claims 1 to 4,
The distance between the lenses on the optical axis of the first to ninth lenses and the central thickness of each lens satisfy the following equation,
Equation: 0 < Air_ET_Max/L_CT_Max < 2
(Air_ET_Max is the maximum value of the optical axis spacing between two adjacent lenses, and L_CT_Max is the maximum value of the thickness at the optical axis of each lens)
An optical system in which the relationship between the maximum effective diameter and the minimum effective diameter among the first to ninth lenses satisfies the following equation.
Equation: 1 < CA_Max / CA_Min < 5
(CA_Max is the maximum value between the effective diameters of the object side and the sensor side of the first to ninth lenses, and CA_Min is the minimum value among the effective diameters of the object side and the sensor side of the first to ninth lenses. ) According to clause 9,
An optical system in which the object-side surface of the ninth lens satisfies the following equation.
Equation: 30 < |L9S1_max slope| < 60
(L9S1 represents the maximum value of the tangential angle measured on the object side of the 9th lens) a first lens group having a plurality of lenses on the object side; and
A second lens group having a plurality of lenses on a sensor side of the first lens group,
The first lens group has positive refractive power at the optical axis,
The second lens group has negative refractive power at the optical axis,
The number of lenses of the second lens group is greater than the number of lenses of the first lens group,
Among the first lens group, the object-side surface of the lens closest to the second lens group has the smallest effective diameter,
Among the lens surfaces of the second lens group, the sensor side closest to the image sensor has the largest effective diameter,
At least four of the lenses in the first and second lens groups have positive refractive power,
An optical system that satisfies the following equation.
Equation: 0.5 < TTL / ImgH < 3
Equation: 0.01 < BFL / ImgH < 0.5
(TTL (Total track length) is the distance on the optical axis from the vertex of the object side of the first lens group to the image surface of the image sensor, ImgH is 1/2 of the maximum diagonal length of the image sensor, and the BFL is It is the optical axis distance from the image sensor to the sensor side closest to the image sensor) According to claim 11,
When the focal lengths of each of the first and second lens groups are expressed as absolute values, an optical system in which the focal length of the first lens group is smaller than the focal length of the second lens group. According to claim 11,
The first lens group includes first to third lenses aligned on an optical axis from the object side toward the sensor,
The second lens group includes fourth to ninth lenses in the first lens group toward the sensor,
The average effective diameter size of the third lens is the smallest among the first to ninth lenses,
An optical system wherein the average effective diameter of the ninth lens is the largest among the first to ninth lenses. According to claim 13,
Both the object side and the sensor side of the eighth lens have critical points,
The object-side critical point of the eighth lens is located in the range of 54% to 64% of the distance from the optical axis of the eighth lens to the end of the effective area,
The critical point on the sensor side of the eighth lens is located in a range of 33% to 43% of the distance from the optical axis of the eighth lens to the end of the effective area. According to claim 14,
An optical system in which the object-side surface and sensor-side surface of each lens in the first lens group are provided without critical points. According to claim 14,
An optical system in which the central thickness of each lens and the central spacing between adjacent lenses satisfy the following equation.
Equation: 0.5 < ΣL_CT / ΣAir_CT < 2
(ΣL_CT is the sum of the thicknesses on the optical axis of the first to ninth lenses, and ΣAIR_CT is the sum of intervals on the optical axis between the first to ninth lenses) The method according to any one of claims 11 to 16,
An optical system that satisfies the following equation.
Equation: 0.1 < CA_max / (2*ImgH) < 1
(CA_max refers to the largest effective diameter among the object side and sensor side of the lenses in the first and second lens groups) According to claim 13,
The focal lengths of the first, second, and third lenses satisfy the following equation,
f2 < 0
f23 < 0
(f2 is the focal length of the second lens, and f23 is the composite focal length of the second and third lenses)
The focal lengths of the first, second, and third lenses satisfy the following equation,
0 < f13 < 20
-5 < f13/f2 < 0
(f13 is the composite focal length of the 1st-3rd lens, and f2 is the focal length of the 2nd lens) According to clause 18,
The composite focal length (f13) of the first to third lenses is an optical system in which the relationship between the focal length (f3) of the third lens and the total focal length (F) satisfies the following equation.
Equation: 0.1 < f13 / F < 3
Equation: 0 < f13 / f3 < 3 image sensor; and
A filter is included between the image sensor and the last lens of the optical system,
The optical system includes the optical system according to any one of claims 1 and 11,
A camera module that satisfies the following equation.
Equation: 1 ≤ F / EPD < 5
(F is the total focal length of the optical system, and EPD is the Entrance Pupil Diameter of the optical system.)

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