KR20230134815A - Optical system and camera module including the same - Google Patents

Abstract

The optical system disclosed in an embodiment of the invention includes first to sixth lenses disposed along an optical axis in the direction from the object side to the sensor side, wherein the first lens has a positive refractive power at the optical axis and has a convex shape. The fifth lens has a convex object-side surface on the optical axis and a concave sensor-side surface, and the sixth lens has a concave object-side surface and a convex sensor-side surface on the optical axis. , the object-side surface and the sensor-side surface of the fifth lens each have a critical point, and the object-side surface and the sensor-side surface of the sixth lens can be provided without a critical point from the optical axis to the end of the effective area.

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.

Additionally, 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 the embodiment includes first to sixth lenses disposed along the optical axis in the direction from the object side to the sensor side, wherein the first lens has a positive refractive power at the optical axis and has a convex object side surface. The fifth lens has a convex object-side surface on the optical axis and a concave sensor-side surface, and the sixth lens has a concave object-side surface and a convex sensor-side surface on the optical axis, The object-side surface and the sensor-side surface of the fifth lens each have a critical point, and the object-side surface and the sensor-side surface of the sixth lens can be provided without a critical point from the optical axis to the end of the effective area.

According to an embodiment of the invention, the maximum Sag (Max_Sag61) value from a straight line perpendicular to the center of the object-side surface of the sixth lens to the object-side surface of the sixth lens satisfies the following equation.

2 ≤ |Max_Sag61| < 5

According to an embodiment of the invention, the maximum Sag (Max_Sag62) value from a straight line perpendicular to the center of the sensor side of the sixth lens to the sensor side of the sixth lens satisfies the following equation.

2 ≤ |Max_Sag62| < 5

According to an embodiment of the invention, the maximum Sag value (Max_Sag52) from a straight line perpendicular to the center of the sensor side of the fifth lens to the sensor side of the fifth lens and the center of the sensor side of the sixth lens The maximum Sag (Max_Sag62) value from the orthogonal straight line to the sensor side of the sixth lens satisfies the following equation.

2 < |Max_Sag62|-|Max_Sag52| < 5

According to an embodiment of the invention, the condition of 3 < (TTL/Imgh)*n < 10 is satisfied. (TTL is the optical axis distance from the object side of the first lens to the image sensor, Imgh is the maximum diagonal length of the image sensor, and n is the total number of lenses)

According to an embodiment of the invention, the condition of 10 < (CT_Max+CG_Max)*n < 30 is satisfied. (CT_Max is the maximum center thickness of the first to sixth lenses, and CG_Max is between the first to sixth lenses. is the largest of the center spacings, and n is the total number of lenses)

According to an embodiment of the invention, the condition of 100 < (FOV*TTL)/n < 200 is satisfied. (TTL is the optical axis distance from the object side of the first lens to the image sensor, FOV is the angle of view, and n is the total number of lenses)

According to an embodiment of the invention, 40 < |L6S2_max slope| Satisfies the condition of < 70. (L6S2_max slope represents the maximum value (Degree) of the tangential angle measured on the sensor side of the sixth lens.)

According to an embodiment of the invention, the condition 0 < CT_Max / CG_Max < 2 is satisfied. (CT_Max is the maximum of the center thicknesses of the first to sixth lenses, and CG_Max is the center distance between the first to sixth lenses. is the maximum)

According to an embodiment of the invention, the center spacing between the fifth and sixth lenses is maximum (CG_Max) and may be 2 mm or more.

An optical system according to an embodiment of the invention includes a first lens disposed on an object side; a second lens having a minimum effective diameter; The last lens with the largest effective diameter; and at least two lenses between the second lens and the last lens, and a virtual lens extending from an end of the effective area of the object-side surface of the first lens to an end of the effective area of the object-side surface of the last lens. The curve is a two-dimensional function that can satisfy the following equation.

y = 0.4464x ² - 1.4744x + k1

(k1 is a constant)

According to an embodiment of the invention, k1 may be 2.5±0.1.

According to an embodiment of the invention, a function for a straight line passing from the end of the effective area of the object-side surface of the lens having the minimum effective diameter to the end of the sensor-side surface of the last lens having the maximum effective diameter may satisfy the following equation.

y = 1.0781x + k2

(k2 is a constant and ranges from 0.46±0.05)

According to an embodiment of the invention, the optical system may have a 6-element lens.

According to an embodiment of the invention, the condition (v6*n6) < (v1*n1) can be satisfied.

(v1 is the Abbe number of the first lens, v6 is the Abbe number of the last lens, n1 is the refractive index of the first lens, and n6 is the refractive index of the last lens)

According to an embodiment of the invention, the condition of (TTL*n) < FOV can be satisfied. (TTL is the optical axis distance from the object side of the first lens to the image sensor, FOV is the angle of view, and n is the total number of lenses. am)

According to an embodiment of the invention, the aperture may be disposed around the object-side surface of the first lens.

According to an embodiment of the invention, 300 <?lt; The condition of 500 can be satisfied. (CA is the sum of the effective diameters of the object side and sensor side of all lenses, and n is the number of total lenses.)

According to an embodiment of the invention, the sum of the central thicknesses of all lenses (∑CT) and the sum of the spacing between two adjacent lenses (∑CG) may satisfy the condition of 0 < ∑CT / ∑CG < 1.

A camera module according to an embodiment of the invention includes an image sensor; and an optical filter disposed between the image sensor and the last lens, wherein the optical system includes the optical system disclosed above, and satisfies the following equation.

0.5 < F/TTL < 1.5

0.5 <TTL/ImgH<3

(F is the average of the total focal length in two directions perpendicular to the optical axis of the optical system, and TTL (Total track length) is the distance on the optical axis from the center of the object side of the first lens to the image surface of the sensor , Imgh is 1/2 of the maximum diagonal length of the image sensor)

The optical system and camera module according to the embodiment may have improved optical characteristics. In detail, the optical system may have improved aberration characteristics and resolution due to the surface shape, refractive power, thickness, and spacing between adjacent lenses of a plurality of 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 and a camera module according to embodiment(s) of the invention.
FIG. 2 is an explanatory diagram showing the relationship between the image sensor, the n-th lens, and the n-1-th lens of the optical system of FIG. 1.
FIG. 3 is a table showing lens data according to the first embodiment having the optical system of FIG. 1.
Figure 4 is an example of aspherical coefficients of lenses according to the first embodiment of the invention.
Figure 5 is a table showing the thickness of lenses and the spacing between lenses according to the direction perpendicular to the optical axis in the optical system according to the first embodiment of the invention.
Figure 6 is a table showing the Sag values of the object side and sensor side of the fifth and sixth lenses according to the first embodiment of the invention.
Figure 7 is a graph showing aberration characteristics of an optical system according to the first embodiment of the invention.
FIG. 8 is a table showing lens data according to a second embodiment having the optical system of FIG. 1.
Figure 9 is an example of aspherical coefficients of lenses according to the second embodiment of the invention.
Figure 10 is a table showing the thickness of lenses and the spacing between lenses according to the direction perpendicular to the optical axis in the optical system according to the second embodiment of the invention.
Figure 11 is a table showing the Sag values of the object side and sensor side of the fifth and sixth lenses according to the second embodiment of the invention.
Figure 12 is a graph showing aberration characteristics of an optical system according to a second embodiment of the invention.
FIG. 13 is a table showing lens data according to a third embodiment having the optical system of FIG. 1.
Figure 14 is an example of aspherical coefficients of lenses according to the third embodiment of the invention.
Figure 15 is a table showing the thickness of the lenses and the distance between the lenses along the direction perpendicular to the optical axis in the optical system according to the third embodiment of the invention.
Figure 16 is a table showing the Sag values of the object side and sensor side of the fifth and sixth lenses according to the third embodiment of the invention.
Figure 17 is a graph showing aberration characteristics of an optical system according to a third embodiment of the invention.
Figure 18 is a graph showing Sag values for the object side and sensor side of the fifth and sixth lenses according to an embodiment of the invention.
Figures 19 and 20 are diagrams showing graphs connecting the ends of the effective areas of each lens according to an embodiment of the invention.
Figure 21 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.

Figure 1 is a diagram showing an optical system 1000 and a camera module having the same according to first to third embodiments of the invention.

Referring to FIG. 1, the optical system 1000 or camera module may include a plurality of lens groups LG1 and LG2. In detail, each of the plurality of lens groups LG1 and LG2 includes at least one lens. For example, the optical system 1000 may include a first lens group LG1 and a second lens group LG2 sequentially arranged along the optical axis OA from the object side toward the image sensor 300. . The number of lenses of the second lens group (LG2) may be greater than the number of lenses of the first lens group (LG1), for example, may be greater than 1 to 3 times the number of lenses of the first lens group (LG1).

The first lens group LG1 may include three or fewer lenses. The second lens group LG2 may include five or fewer lenses. For example, the first lens group LG1 may include two lenses. The second lens group LG2 may include four lenses. The number of lenses of the second lens group (LG2) may be 2 or 3 more than the number of lenses of the first lens group (LG1).

In the optical system 1000, the total track length (TTL) may be less than 70% of the diagonal length of the image sensor 300, for example, in the range of 40% to 69% or 50% to 60%. The TTL is the distance on the optical axis (OA) from the object-side surface of the first lens 101 closest to the object side to the image surface of the image sensor 300, and the diagonal length of the image sensor 300 is the image sensor 300. It is the maximum diagonal length of (300) and may be twice the distance (Imgh) from the optical axis (OA) to the end of the diagonal. Accordingly, a slim optical system and a camera module having the same can be provided. The total number of lenses in the first and second lens groups (LG1 and LG2) is 5 to 7.

The first lens group LG1 may have positive (+) refractive power. The second lens group LG2 may have the same amount of refractive power as the first lens group LG1. The first lens group (LG1) and the second lens group (LG2) have different focal lengths and the same refractive power, so that they have good optical performance in the center and periphery of the field of view (FOV). You can. The refractive power is the reciprocal of the focal length.

The focal length of the second lens group LG2 may be smaller than the focal length of the first lens group LG1. Accordingly, the optical system 1000 according to the embodiment can have improved aberration control characteristics such as chromatic aberration and distortion aberration by controlling the refractive power and focal length of each lens group, and has good optical performance in the center and periphery of the field of view (FOV). You can have

On the optical axis OA, the first lens group LG1 and the second lens group LG2 may have a set interval. The optical axis spacing between the first lens group LG1 and the second lens group LG2 on the optical axis OA is the separation distance on the optical axis OA, and among the lenses in the first lens group LG1, the sensor It may be the optical axis interval between the sensor side of the lens closest to the object side and the object side of the lens closest to the object side among the lenses in the second lens group LG2. The optical axis spacing between the first lens group (LG1) and the second lens group (LG2) is the center thickness of the last lens of the first lens group (LG1) and the center thickness of the first lens of the second lens group (LG2). It can be larger than the center thickness. The optical axis interval between the first lens group (LG1) and the second lens group (LG2) is smaller than the optical axis distance of the first lens group (LG1) and is 20% or more of the optical axis distance of the first lens group (LG1). For example, it may be in the range of 20% to 45% or 30% to 40% of the optical axis distance of the first lens group LG1. Here, the optical axis distance of the first lens group LG1 is the optical axis distance between the object side of the lens closest to the object side of the first lens group LG1 and the sensor side of the lens closest to the sensor side.

The optical axis spacing between the first lens group LG1 and the second lens group LG2 may be 12% or less of the optical axis distance of the second lens group LG2, for example, 2% to 12% or 5% to 5%. It may be in the 10% range. The optical axis distance of the second lens group LG2 is the optical axis distance between the object side of the lens closest to the object side of the second lens group LG2 and the sensor side of the lens closest to the sensor side.

The lens with the smallest effective diameter within the first lens group LG1 may be the lens closest to the second lens group LG2. The lens with the smallest effective diameter within the second lens group LG2 may be the lens closest to the first lens group LG1. Here, the size of the effective diameter is the average value of the effective diameter of the object-side surface and the effective diameter of the sensor-side surface of each lens. 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 size of the lens with the minimum effective diameter in the first lens group (LG1) may be smaller than the size of the lens with the minimum effective diameter in the second lens group (LG2).

The optical system 1000 may include 7 or fewer lenses or 6 or fewer lenses. The first lens group (LG1) refracts the light incident through the object side to collect it, and the second lens group (LG2) refracts the light emitted through the first lens group (LG1) to the image sensor 300. ) can be refracted so that it can spread to the surrounding area.

Among the lenses of the first lens group (LG1), the lens closest to the object side has positive (+) refractive power, and among the lenses of the second lens group (LG2), the lens closest to the sensor side has negative (-). ) can have a refractive power of In the optical system 1000, the number of lenses with positive (+) refractive power may be greater than the number of lenses with negative (-) refractive power. All lenses of the first lens group LG1 may have positive (+) refractive power. In the second lens group LG2, the number of lenses with positive (+) refractive power may be greater than the number of lenses with negative (-) refractive power.

Each of the lenses of the lens unit 100 may include an effective area and an ineffective area. The effective area may be an area through which light incident on each lens passes. That is, the effective area may be an effective area or an area of an effective diameter in which the incident light is refracted to realize optical characteristics. The non-effective area may be arranged around the effective area. The non-effective area may be an area where effective light does not enter the plurality of lenses. 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. 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 diagonal length of the image sensor 300 may be greater than 2 mm, for example, greater than 4 mm and less than 12 mm. Preferably, Imgh of the image sensor 300 may be smaller than TTL.

The optical system 1000 may include an optical filter 500. The optical filter 500 may be disposed between the second lens group LG2 and the image sensor 300. The optical filter 500 may be disposed between the image sensor 300 and a lens closest to the sensor among the plurality of lenses. For example, when the optical system 1000 is a six-element lens, the optical filter 500 may be disposed between the sixth lens 106 and the image sensor 300.

The optical filter 500 may include an infrared filter. The optical filter 500 may pass light in a set wavelength band and filter light in a different wavelength band. When the optical 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 optical filter 500 can transmit visible light and reflect infrared rays. As another example, a cover glass may be further disposed between the optical filter 500 and the image sensor 300.

The optical system 1000 according to the embodiment may include an aperture (ST). The aperture ST can control the amount of light incident on the optical system 1000. The aperture ST may be disposed around at least one lens of the first lens group LG1. For example, the aperture ST may be disposed around the object-side surface of the first lens 101. Alternatively, the aperture ST may be disposed between two adjacent lenses 101 and 102 among the lenses in the first lens group LG1. Alternatively, at least one lens selected from among the plurality of lenses 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 LG1 may function as an aperture to adjust the amount of light.

The straight-line distance from the aperture ST to the sensor-side surface of the last n-th lens may be smaller than the optical axis distance from the object-side surface of the first lens 101 to the sensor-side surface of the n-th lens. If the optical axis distance from the aperture ST to the sensor side of the nth lens is SD, the condition SD > EFL can be satisfied. Additionally, the condition of SD > Imgh can be satisfied. The EFL is the effective focal length of the entire optical system and can be defined as F. The EFL and Imgh may be the same or different from each other and may have a difference of 2 mm or less. The field of view (FOV) of the optical system 1000 may be less than 120 degrees, for example, more than 70 degrees and less than 100 degrees. The F number (F#) of the optical system 1000 may be greater than 1 and less than 10, for example, 1.1 ≤ F# ≤ 5. Additionally, the F# may be smaller than the entrance pupil size (EPD). Accordingly, the optical system 1000 has a slim size, can control incident light, and can have improved optical characteristics within the field of view.

The effective diameter of the lenses is the minimum at the lens surface adjacent to the area between the first lens group (LG1) and the second lens group (LG2), and may gradually increase toward the lens surface of the last lens.

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

FIG. 1 is a configuration diagram of an optical system and a camera module according to an embodiment(s) of the invention, and FIG. 2 is an explanatory diagram showing the relationship between the image sensor, the n-th lens, and the n-1-th lens of the optical system of FIG. 1.

1 and 2, the optical system 1000 according to the first to third embodiments includes a lens unit 100 having a plurality of lenses, and the lens unit 100 includes a first lens 101. It may include the sixth to sixth lenses 106. The first to sixth lenses 101-106 may be sequentially aligned along the optical axis OA of the optical system 1000. Light corresponding to object information may pass through the first to sixth lenses 101 to 106 and the optical filter 500 and be incident on the image sensor 300.

The first lens group LG1 may include the first to second lenses 101 and 102, and the second lens group LG2 may include the third to sixth lenses 103-106. The optical axis distance between the second lens 102 and the third lens 103 may be the optical axis distance between the first and second lens groups LG1 and LG2.

Among the first to sixth lenses 101-106, the number of lenses having a meniscus shape convex from the optical axis toward the object may be 4 or less, and n-2 may be satisfied. The n is the total number of lenses, and may be, for example, 6.

The first lens 101 may have negative (-) or positive (+) refractive power at the optical axis OA, and preferably 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. 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 Figures 4, 9, and 14, where L1 is the first lens 101, L1S1 is the first surface, and L1S2 is the second surface. am.

The second lens 102 may have positive (+) or negative (-) refractive power at the optical axis (OA). The second lens 102 may have positive 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. 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, S4) are provided as shown in Figures 4, 9, and 14, where L2 is the second lens 102, L2S1 is the third surface, and L2S2 is the fourth surface. am.

The third lens 103 may have positive (+) or negative (-) refractive power at the optical axis OA, and may preferably 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 concave shape. That is, the third lens 103 may have a meniscus shape that is convex from the optical axis OA toward the object. Differently, in the optical axis OA, the fifth surface S5 may have a convex shape, and the sixth surface S6 may have a convex shape. At least one of the fifth surface S5 and the sixth surface S6 may be an aspherical surface. For example, both the fifth surface S5 and the sixth surface S6 may be aspherical. The aspherical coefficients of the fifth and sixth surfaces (S5, S6) are provided as shown in Figures 4, 9, and 14, where L3 is the third lens 103, L3S1 is the fifth surface, and L3S2 is the sixth surface. am. The radius of curvature of the sixth surface S6 of the third lens 103 may be the largest within the optical system 1000.

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 concave shape, and the eighth surface S8 may have a convex shape. 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. Alternatively, the fourth lens 104 may have a shape in which both sides are convex at the optical axis OA. Alternatively, the fourth lens 104 may have a meniscus shape that is convex from the optical axis OA toward the object. 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 aspherical coefficients of the 7th and 8th surfaces (S7, S8) are provided as shown in Figures 4, 9, and 14, where L4 is the fourth lens 104, L4S1 is the seventh surface, and L4S2 is the eighth surface. am.

The focal length of the fourth lens 104 may be the largest within the optical system 1000. The refractive index of the second and fourth lenses 102 and 104 may be smaller than that of the first and third lenses 101 and 103. The Abbe numbers of the second and fourth lenses 102 and 104 may be greater than those of the first and third lenses 101 and 103. Accordingly, the optical system 1000 may have improved chromatic aberration control characteristics.

When the radius of curvature at the optical axis OA is expressed as an absolute value, the radius of curvature of the fourth lens 104 is the average value of the radii of curvature of the seventh and eighth surfaces S7 and S8 and may be the smallest in the optical system. The radius of curvature of the first lens 101 is the average value of the radii of curvature of the first and second surfaces S1 and S2 and may be the second smallest in the optical system. The radius of curvature of the third lens 103 is the average value of the radii of curvature of the fifth and sixth surfaces S5 and S6 and may be the largest in the optical system.

The fifth lens 105 may have positive (+) or negative (-) refractive power at the optical axis (OA). The fifth lens 105 may have positive (+) refractive power. The fifth lens 105 may include plastic or glass. For example, the fifth lens 105 may be made of plastic. When expressing an absolute value, the focal length of the fifth lens 105 may be smaller than the focal length of the fourth lens 104.

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. 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 shape with respect to the optical axis OA. That is, the fifth lens 105 may have a meniscus shape that is convex from the optical axis OA toward the object. 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 FIGS. 4, 9, and 14, where L5 is the fifth lens 105, L5S9 is the 9th surface, and L5S2 is the 10th surface. am.

The fifth lens 105 is the n-1th lens, and the 9th and 10th surfaces S9 and S10 may have critical points from the optical axis OA to the end of the effective area. The critical point of the ninth surface S9 may be located at a distance of 63% or more of the effective radius from the optical axis, for example, in the range of 63% to 83% or 68% to 78%. The critical point of the tenth surface (S10) may be disposed closer to the optical axis than the critical point of the ninth surface (S9), for example, at a distance of 52% or less of the effective radius from the optical axis, for example, in the range of 32% to 52%, or It may be located in the range of 37% to 47%. The critical point is a point at which the sign of the slope value with respect to the optical axis (OA) and the direction perpendicular to the optical axis (OA) changes from positive (+) to negative (-) or from negative (-) to positive (+), and the slope It may mean a point where the value is 0. Additionally, the critical point may be a point where the slope value of a tangent line passing through the lens surface increases and then decreases, or a point where it decreases and then increases. The position of the critical point of the sixth lens 106 is preferably placed at a position that satisfies 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 even in the center and peripheral areas of the field of view (FOV).

As shown in Figure 18, the critical point of L5S1, which is the 9th surface of the fifth lens, may be located in an area of 2.5 mm or more based on the optical axis, and the critical point of L5S2, which is the 10th surface, may be located in an area of 1.5 mm or less based on the optical axis. In absolute value, the maximum Sag value of L5S1, the ninth surface, is the maximum height from the straight line perpendicular to the center of the ninth surface to the lens surface, and may be 0.1 mm or more, for example, 0.2 mm or more. In absolute value, the maximum Sag value of L5S2, the 10th surface, is the maximum height from the straight line perpendicular to the center of the 10th surface to the lens surface, and may be 0.5 mm or more, for example, 0.55 mm or more.

The sixth lens 106 may have positive (+) or negative (-) refractive power at the optical axis (OA). The sixth lens 106 may have negative 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 surface and a 12th surface S12 defined as the sensor side surface. 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 that is convex toward the object or a shape that is concave on both sides.

At least one of the 11th surface S11 and the 12th surface S12 of the sixth lens 106 may be aspherical. For example, both the 11th surface (S11) and the 12th surface (S12) may be aspherical. The aspherical coefficients of the 11th and 12th surfaces (S11, S12) are provided as shown in Figures 4, 9, and 14, where L6 is the sixth lens 106, L6S1 is the 11th surface, and L6S2 is the 12th surface. am.

The distance (DP1) from the twelfth surface (S12) of the sixth lens 106 to the position where the Sag value is less than 0.1 with respect to the optical axis is 27% or less, for example, in the range of 7% to 27%, and is 1.5 mm or less from the optical axis. It can be located at point (P1).

The sixth lens 106 is the n-th lens, and the 11th and 12th surfaces S11 and S12 may be provided without a critical point from the optical axis OA to the end of the effective area. As shown in FIG. 18, in absolute value, the maximum Sag value of L6S1, which is the 11th surface, is the maximum height from the straight line perpendicular to the center of the 11th surface to the lens surface, and may be 2.5 mm or more, for example, 2.8 mm or more. In absolute value, the maximum Sag value of L6S2, which is the 12th surface, is the maximum height from the straight line perpendicular to the center of the 12th surface to the lens surface, and may be 2.5 mm or more, for example, 3 mm or more.

The effective radius r11 of the first surface S1 of the first lens 101 is larger than the effective radius of the fifth and sixth surfaces S5 and S6 of the third lens 103, and the fourth lens 104 It may be smaller than the effective radius (S8) of the eighth surface (S8) of . The effective radius (r62) of the twelfth surface (S12) of the sixth lens 106 may be the largest among the lens surfaces.

When the radius of curvature at the optical axis OA is expressed as an absolute value, the radius of curvature of the tenth surface S10 of the fifth lens 105 may be greater than the radius of curvature of the ninth surface S9. The radius of curvature of the twelfth surface (S12) of the sixth lens 106 may be greater than the radius of curvature of the eleventh surface (S11). The radius of curvature of the first and second surfaces S1 and S2 of the first lens 101 may be smaller than the radius of curvature of the fourth surface S4 of the second lens 102 and may be 5 mm or less.

The radii of curvature of the first and second surfaces (S1 and S2) of the first lens 101 are L1R1 and L1R2, and the radii of curvature of the fifth and sixth surfaces (S5 and S6) of the third lens 103 are L3R1 and L3R2. , the radii of curvature of the 7th and 8th surfaces (S7, S8) of the fourth lens 104 are L4R1, L4R2, and the radii of curvature of the 9th and 10th surfaces (S9, S10) of the fifth lens 105 are L5R1. , L5R2, and the radii of curvature of the 11th and 12th surfaces (S11 and S12) of the sixth lens 106 can be defined as L6R1 and L6R2.

The radii of curvature may satisfy at least one of the following conditions to improve the aberration characteristics of the optical system.

L1R1*L1R2 < L3R1

L6R1 < L6R2

｜L6R2｜*｜L6R1｜ < L3R2

｜L5R1｜*｜L5R2｜ > L3R2

L4R1 < L5R1

｜L4R1｜+｜L6R1｜ < L5R1

｜L4R1｜*｜L4R2｜*｜L6R1｜ < L5R2

The effective diameter of the sixth lens 106 may have a maximum effective diameter and may be greater than 9 mm. The effective diameter of the sixth lens 106 is the average of the effective diameters of the object side and the sensor side. The effective diameter of the sixth lens 106 is the average of the effective diameters of the 11th and 12th surfaces S11 and S12, and may be more than twice the radius of curvature (absolute value) of the 11th surface S11. The effective diameters of the first and second surfaces (S1 and S2) of the first lens 101 are CA_L1S1 and CA_L1S2, and the effective diameters of the third and fourth surfaces (S3 and S4) of the second lens 102 are CA_L2S1 and CA_L2S2. The effective diameters of the 5th and 6th surfaces (S5, S6) of the third lens 103 are CA_L3S1 and CA_L3S2, and the effective diameters of the 7th and 8th surfaces (S7, S8) of the fourth lens 104 are CA_L4S1. , CA_L4S2, the effective diameters of the 9th and 10th surfaces (S9, S10) of the fifth lens 105 are CA_L5S1, CA_L5S2, and the effective diameters of the 11th and 12th surfaces (S11, S12) of the sixth lens 106 This can be defined as CA_L6S1 and CA_L6S2. These effective diameters are factors that affect the aberration characteristics of the optical system, and can satisfy at least one of the following conditions.

CA_L2S1 < CA_L1S1

CA_L5S1 < CA_L5S2 < CA_L6S1 < CA_L6S2

CA_L6S1-CA_L5S2 < CA_L5S1-CA_L4S2

CA_L5S1 + CA_L5S2 < CA_L6S2

CA_L5S1 < (CA_L3S1 + CA_L3S2) < CA_L5S2

Additionally, the effective radius of the first surface S1 is r11, the effective radius of the eighth surface S8 of the fourth lens 104 is r42, and the effective radius of the ninth surface S9 of the fifth lens 105 is r42. If this is r51, and the effective radii of the 11th and 12th surfaces (S11, S12) of the sixth lens 106 are r61 and r62, then r11 < r42 < r51 < r61 < r62 can be satisfied.

Figure 19 shows the quadratic function closest to the curve passing through the end of the effective area of the object side surface and the sensor side surface of each lens in the optical system according to the first to third embodiments, where G1CA is the object side of the first lens. It is a two-dimensional function for a curve connecting the end of the effective area of the surface to the end of the effective area of the 11th surface of the 6th lens, and can be obtained as y = 0.4464x ² - 1.4736x + k1. G2CA is a two-dimensional function for a curve connecting the end of the effective area of the object side of the first lens to the end of the effective area of the 12th surface of the sixth lens, and is expressed as y = 0.4464x ² - 1.4744x + k1. It can happen. The k1 is a constant that sets the position in the y-axis direction and can be set to 2.5±0.1.

Figure 20 shows a linear function connecting the end of the effective area of the object side surface of the second lens having the minimum effective diameter to the end of the effective area of the lens having the maximum effective diameter in the optical system according to the first to third embodiments. G3CA is a one-dimensional function for a straight line passing from the end of the effective area of the object side of the first lens to the end of the effective area of the 12th surface of the sixth lens, and can satisfy the condition of y = 1.0781x + k2. there is. G4CA is a one-dimensional function connecting the end of the effective area of the object-side surface of the first lens to the end of the effective area of the 11th surface of the sixth lens, and can satisfy the condition of y = 1.014x + k3. The k2 and k3 are constants, with k2 set to 0.46±0.05 and k3 set to 0.52±0.05. As shown in Figures 19 and 20, a two-dimensional function connecting the ends of the effective area of each lens and a one-dimensional function are set for the ends of the effective area of the lens with the minimum effective diameter and the ends of the effective area of the lens with the maximum effective diameter. This allows the size of the optical system to be optimally set.

When expressed as an absolute value, the focal length of the sixth lens 106 may be smaller than the focal length of the fifth lens 105 and smaller than the focal length of the second lens 102. When the focal length of each lens 101-106 is defined as F1, F2, F3, F4, F5, and F6, the conditions F2 < F4 and F2 < F3 can be satisfied. Additionally, the condition F1 > F2 can be satisfied. By adjusting this focal distance, resolution can be affected.

If the refractive index of each lens 101-106 is n1, n2, n3, n4, n5, and n6, and the Abbe number of each lens 101-106 is v1, v2, v3, v4, v5, and v6, the refractive index is The condition n3 > n2 can be satisfied, n1, n3, and n5 can be greater than 1.6 and have a difference of less than 0.2 from each other, and n2, n4, and n6 can be less than 1.6 and have a difference of less than 0.2 from each other. The Abbe number can satisfy the condition v2 > v3, v1, v3, and v5 can be less than 35 and have a difference of less than 10 from each other, and v2, v4, and v6 can be more than 45 and can have a difference of less than 10 from each other. .

The refractive index of the sixth lens 106 may be smaller than that of the fifth lens 105 and may be less than 1.6. The sixth lens 106 may have an Abbe number greater than that of the fifth lens 105. For example, the Abbe number of the sixth lens 106 may be 20 or more greater than the Abbe number of the fifth lens 105. The Abbe number of the second, fourth, and sixth lenses (102, 104, and 106) may be 50 or more, and the refractive index of the first, third, and fifth lenses (101, 103, and 105) may be 1.65 or more. Accordingly, the optical system 1000 may have improved chromatic aberration control characteristics.

The normal line K2, which is a straight line perpendicular to the tangent line K1 passing through an arbitrary point on the twelfth surface S12 on the sensor side of the sixth lens 106, which is the last lens, has a predetermined angle θ1 with the optical axis OA. The maximum angle θ1 may be greater than 40 degrees and less than 70 degrees, for example, in the range of 50 degrees to 69 degrees. Accordingly, since the twelfth surface S12 has the minimum Sag value in the optical or paraxial region, a slim optical system can be provided.

Referring to FIG. 2, back focal length (BFL) is the optical axis distance from the image sensor 300 to the last lens. That is, BFL is the optical axis distance between the image sensor 300 and the twelfth sensor-side surface S12 of the sixth lens 106. CT5 is the center thickness or optical axis thickness of the fifth lens 105, and L5_ET is the end or edge thickness of the effective area of the fifth lens 105. CT6 is the central thickness or optical axis thickness of the sixth lens 106. CG5 is the optical axis spacing (ie, center spacing) from the center of the sensor-side surface of the fifth lens 105 to the center of the object-side surface of the sixth lens 106. That is, the optical axis distance CG5 is the distance between the 10th surface S10 and the 11th surface S11 on the optical axis OA. The CG5 may be greater than the optical axis distance between the third and fourth lenses 103 and 104. The CG5 may be greater than the sum of the center thicknesses of the fifth and sixth lenses 105 and 106.

The central thickness of each lens 101-106 can be defined as CT1, CT2, CT3, CT4, CT5, and CT6, and the center distance between the first lens 101 and the second lens 102 is CG1, and the second , the center spacing between the 3 lenses (102, 103) is CG2, the center spacing between the 3rd and 4th lenses (103, 104) is CG3, the center spacing between the 4th and 5th lenses is CG4, and the center spacing between the 5th and 6th lenses (105, 106) is CG2. The center spacing can be defined as CG6.

The central thickness (CT4) of the fourth lens 104 is the largest among lenses and may be 1 mm or less. The center distance CG5 between the fifth lens 105 and the sixth lens 106 is the largest among the distances between lenses and may be 2 mm or more. The center thickness (CT6) of the sixth lens 106 is the minimum among the lenses, and the center spacing (CG4) between the fourth and fifth lenses 104 and 105 is the minimum among the intervals between the lenses. Among the lenses 101-106, the maximum central thickness may be at least twice the minimum central thickness, for example, in the range of 2 to 5 times. Among the plurality of lenses 100, the number of lenses with a center thickness of less than 0.5 mm may be equal to the number of lenses with a center thickness of 0.5 mm or more.

The center thickness and center spacing of each lens may satisfy at least one of the following conditions.

CG1+CG2+CG3+CG4 < CG5

(CG1*2) < CG3

(CG3*2) < CG5

CG4 < (CG2*2) > CG5

Accordingly, the optical system 1000 can be provided in a structure with a slim thickness.

Among the plurality of lens surfaces (S1-S16), the number of surfaces with an effective radius of less than 2 mm may be equal to the number of surfaces with an effective radius of 2 mm or more. If the radius of curvature is described as an absolute value, the radius of curvature of the eighth surface S8 of the fourth lens 104 among the plurality of lenses 100 may be the smallest among the lens surfaces at the optical axis OA, and the radius of curvature of the eighth surface S8 of the fourth lens 104 may be the smallest among the lens surfaces at the optical axis OA, and The radius of curvature of the sixth surface (S1) of (103) may be the largest among the lens surfaces at the optical axis (OA).

If the focal length is described as an absolute value, the focal length of the third lens 103 within the lens unit 100 may be the largest among the lenses, the focal length of the fifth and sixth lenses 106 and 106 may be 20 mm or less, and 6 The focal length of the lens 106 may be the smallest. The maximum focus distance may be three times or more than the minimum focus distance.

The optical system 1000 according to the embodiment 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, if 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. The optical system 1000 may have improved resolution and may have a slimmer and more compact structure.

Hereinafter, the center thickness of the first to sixth lenses 101-106 is CT1-CT6, the edge thickness is ET1-ET6, the optical axis spacing between two adjacent lenses is CG1 to CG5, and the edge spacing between two adjacent lenses is It can be defined as EG1 to EG5. The unit of the thickness and spacing is mm.

[Equation 1]

1 < CT1 / CT3 < 5

In Equation 1, if the center thickness (CT1) of the first lens 101 and the center thickness (CT2) of the second lens 102 are satisfied, the optical system 1000 can improve aberration characteristics. Preferably, Equation 1 may satisfy 2 ≤ CT1 / CT3 < 3.

[Equation 2]

0.5 < CT2 / ET2 < 2

In Equation 2, if the center thickness (CT2) of the second lens 102 and the edge thickness (ET2) of the second lens 102 are satisfied, the optical system 1000 may have improved chromatic aberration control characteristics. Preferably, Equation 2 may satisfy 1 ≤ CT2 / ET2 ≤ 1.5.

Equation 2-1] 1 < CT1 / ET1 < 2

[Equation 2-2] 1 < CT3 / ET3 < 1.5

[Equation 2-3] CT3 < CT2 < CT1 < CT4

[Equation 2-4] 2 ≤ CT4 / ET4 < 3

[Equation 2-5] 5 < CT5 / ET5 < 6

[Equation 2-6] 4 < CT6 / ET6 < 5

[Equation 2-7] CT2 < CT6 < CT5

[Equation 2-8] (CT1 + CT4 + CT5) < CG5

[Equation 2-9] 0.5 < SD / TD ≤ 1

If the ratio of the center thickness and edge thickness of the first to sixth lenses 102 - 106 is satisfied in Equations 2-1 to 2-8, the optical system 1000 may have improved chromatic aberration control characteristics.

The SD is the optical axis distance from the aperture to the twelfth surface (S12) on the sensor side of the sixth lens 106, and the TD is the optical axis distance from the first surface (S1) of the first lens 101 to the sixth lens (106). ) is the optical axis distance to the 12th surface (S12). The aperture may be disposed around the object-side first surface S1 of the first lens 101. When the optical system 1000 according to the embodiment satisfies Equation 2-9, the chromatic aberration of the optical system 1000 can be improved.

[Equation 2-10]

1 < F_LG1 /F_LG2 < 5

F_LG1 is the focal length of the first lens group (LG1), and F_LG2 is the focal length of the second lens group (LG2). When the optical system 1000 according to the embodiment satisfies Equation 2-10, chromatic aberration of the optical system 1000 may be improved. That is, as the value of Equation 2-10 approaches 1, the distortion aberration can be reduced. The value of Equation 2-10 may satisfy 1 < F_LG1 /F_LG2 < 3.

[Equation 3]

1 < ²- CT_Aver < 4

In Equation 3, if the sum of the center thicknesses and the average (CT_Aver) of the center thicknesses of each lens 101-106 are satisfied, the optical system 1000 may have improved chromatic aberration control characteristics. Equation 3 can satisfy 2 < ²- CT_Aver < 3.5.

[Equation 4]

1.6 < n1

In Equation 4, it means the refractive index at the d-line of the first lens 101. When the optical system 1000 according to the embodiment satisfies Equation 1, the optical system 1000 can improve chromatic aberration characteristics.

[Equation 4-1]

1.50 < n2 < 1.60

1.50 < n6 < 1.60

In Equation 4-1, n2 is the refractive index at the d-line of the second lens 102, and n6 is the refractive index at the d-line of the sixth lens 106. 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 4-2]

n4 < 1.60 < n3

n6 < 1.60 < n5

In Equation 4-2, n3 means the refractive index at the d-line of the third lens 103, and n5 means the refractive index at the d-line of the fifth lens 105. When the optical system 1000 according to the embodiment satisfies Equation 4-2, the optical system 1000 can improve chromatic aberration characteristics.

[Equation 5]

0.5 < L6S2_max_sag to Sensor < 1.5

In Equation 5, L6S2_max_sag to Sensor means the distance in the optical axis direction from the maximum Sag value of the twelfth surface (S12) on the sensor side of the sixth lens 106 to the image sensor 300. For example, L6S2_max_sag to Sensor means the distance in the optical axis direction from the center of the sensor side of the sixth lens 106 to the image sensor 300. When the optical system 1000 according to the embodiment satisfies Equation 5, the optical system 1000 can secure a space where the optical filter 500 can be placed between the lens unit 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. Preferably, the value of Equation 5 may satisfy 0.8 < L6S2_max_sag to Sensor ≤ 1.

In the lens data for the embodiment, the gap between the last lens and the optical filter 500 and the gap between the image sensor 300 and the optical filter 500 are positions set for convenience in designing the optical system 1000, and the optical filter ( 500) can be freely arranged within a range that does not contact the last lens and the image sensor 300. Accordingly, in the lens data, the value of L6S2_max_sag to Sensor may be equal to or smaller than the BFL (Back focal length) of the optical system 1000, and the position of the optical filter 500 may be located between the last lens and the image sensor 300. Good optical performance can be achieved by moving within a range that does not contact each other. That is, the distance between the center of the twelfth surface S12 of the sixth lens 106 and the image sensor 300 is minimum, and the distance may gradually increase toward the end of the effective area of the twelfth surface S1.

[Equation 6]

0.9 < BFL / L6S2_max_sag to Sensor < 2

In Equation 6, the back focal length (BFL) is the optical axis ( OA) means the distance (mm). 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 6 can satisfy 0.95 ≤ BFL / L6S2_max_sag to Sensor ≤ 1.2.

[Equation 7]

40 < |L6S2_max slope| < 70

In Equation 7, L6S2_max slope means the maximum value (Degree) of the tangential angle measured on the 12th surface (S12) of the sixth lens 106. In detail, L6S2_max slope in the twelfth surface S12 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. Preferably, equation 7 is 50 ≤ |L6S2_max slope| <70 can be satisfied.

[Equation 8]

0.2 < L5S2 Inflection Point < 0.6

In Equation 8, L5S2 Inflection Point may mean the distance from the optical axis (OA) to the critical point (Inflection Point or Critical point) of the tenth surface (S10) of the fifth lens 105. The value of Equation 8 can be located within 0.4 mm ± 0.2 mm from the optical axis (OA). 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 < CG5 / G5_min < 10

Equation 9 is the distance (CG5) between the fifth lens 105 and the sixth lens 106 and the distance between the fifth lens 105 and the sixth lens 106 based on the optical axis (OA). This refers to the minimum gap (mm) among the gaps (G5). 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 9 may satisfy 1 < CG5 / G5_min < 7 or 2 < CG5 / G5_min ≤ 6.

[Equation 10]

1 < CG5 / EG5 < 10

In Equation 10, if the optical axis spacing (CG5) between the fifth and sixth lenses (105, 106) and the optical axis spacing (EG5) at the edge between the fifth and sixth lenses (105, 106) are satisfied, the center of the field of view (FOV) and Good optical performance can be achieved even in the peripheral area. Additionally, the optical system 1000 can reduce distortion and thus have improved optical performance. Preferably, Equation 10 may satisfy 4 < CG5 / EG5 < 9.

[Equation 11]

0.01 < CG1 / CG5 < 1

In Equation 11, if the optical axis gap (CG1) between the first lens 101 and the second lens 102 and the optical axis gap (CG5) between the fifth and sixth lenses (105, 106) are satisfied, the optical system ( 1000) can improve aberration characteristics and control the size of the optical system 1000, for example, reducing the total track length (TTL). Preferably, Equation 11 may satisfy 0.01 < CG1 / CG5 < 0.5.

[Equation 11-1]

1 < CA_L6S2 / CG5 < 10

In Equation 11-1, CA_L6S2 is the effective diameter of the largest lens surface and is the effective diameter of the twelfth surface S12 on the sensor side of the sixth lens 106. 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. Preferably, Equation 11-1 may satisfy 2 < CA_L6S2 / CG5 < 4.

[Equation 11-2]

1 < CA_L5S2 / CG5 < 10

Equation 11-2 can set the optical axis interval between the effective diameter (CA_L5S2) of the 10th surface (S10) on the sensor side of the 5th lens 105 and the 5th and 6th lenses (105 and 106). When the optical system 1000 according to the embodiment satisfies Equation 11-2, the optical system 1000 can improve aberration characteristics and control total track length (TTL) reduction. Preferably, Equation 11-2 may satisfy 2 < CA_L5S2 / CG5 < 4.

[Equation 12]

1 < CT1 / CT6 < 5

In Equation 12, if the thickness (CT1) at the optical axis (OA) of the first lens 101 and the thickness (CT6) at the optical axis (OA) of the sixth lens 106 are satisfied, 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). Preferably, Equation 12 may satisfy 2 < CT1 / CT6 < 3.

[Equation 13]

1 < CT5 / CT6 < 5

In Equation 13, if the thickness (CT5) at the optical axis (OA) of the fifth lens 105 and the thickness (CT6) at the optical axis of the sixth lens 106 are satisfied, the optical system 1000 is The manufacturing precision of the lens 105 and the sixth lens 106 can be reduced, and the optical performance of the center and periphery of the field of view (FOV) can be improved. Preferably, Equation 13 can satisfy the condition of 1 < CT5 / CT6 < 3. The central thickness of the first, fourth, fifth, and sixth lenses may satisfy the condition of CT6 < CT5 < CT1 < CT4.

[Equation 14]

1 < L2R1 / L4R2 < 5

In Equation 14, the radius of curvature at the optical axis of the third and fourth surfaces S3 and S4 of the fourth lens 104 can be set, and if the optical system 1000 satisfies Equation 14, the aberration characteristics can be improved. there is. Preferably, Equation 14 may satisfy 1 < L4R1 / L4R2 < 3.

[Equation 15]

0 < (CG5 - EG5) / (CG5) < 2

If Equation 15 satisfies the center spacing (CG5) and edge spacing (CG5) between the fifth and fifth lenses 105 and 106, the optical system 1000 can reduce the occurrence of distortion and have improved optical performance. . When the optical system 1000 according to the embodiment satisfies Equation 15, optical performance in the center and peripheral areas of the field of view (FOV) can be improved. Equation 15 may preferably satisfy 0 < (CG5 - EG5) / (CG5) < 1.

[Equation 16]

1 < CA_L1S1 / CA_L3S1 < 2

In Equation 16, CA_L1S1 refers to the effective aperture of the first surface (S1) of the first lens 101, and CA_L3S1 refers to the effective aperture of the fifth surface (S5) of the third lens 103. it means. When Equation 16 is satisfied, the optical system 1000 according to the embodiment can control light incident on the first lens group LG1 and have improved aberration control characteristics. Equation 16 may preferably satisfy 1 < CA_L1S1 / CA_L3S1 < 1.5.

[Equation 17]

1 < CA_L6S2 / CA_L4S2 < 5

In Equation 17, CA_L4S2 refers to the effective diameter of the eighth surface (S8) of the fourth lens 104, and CA_L6S2 refers to the effective diameter of the twelfth surface (S12) of the sixth lens 106. When the optical system 1000 according to the embodiment satisfies Equation 17, light incident on the second lens group LG2 can be controlled and aberration characteristics can be improved. Preferably, Equation 17 may satisfy 1 < CA_L6S2 / CA_L4S2 < 3.

[Equation 18]

0 < CA_L3S2 / CA_L4S1 < 1.5

In Equation 18, if the effective diameter (CA_L3S2) of the sixth surface (S6) of the third lens 103 and the effective diameter (CA_L4S1) of the seventh surface (S7) of the fourth lens 104 are satisfied, the optical system ( 1000) can improve chromatic aberration and control vignetting for optical performance. Preferably, Equation 18 may satisfy 0.7 < CA_L3S2 / CA_L4S1 < 1.

[Equation 19]

0.1 < CA_L5S2 / CA_L6S2 < 1

In Equation 19, if the effective diameter (CA_L5S2) of the 10th surface (S10) of the fifth lens 105 and the effective diameter (CA_L6S2) of the 12th surface (S12) of the sixth lens 106 are satisfied, the optical system ( 1000) can improve chromatic aberration. Preferably, Equation 19 may satisfy 0.4 ≤ CA_L5S2 / CA_L5S2 < 1.

[Equation 20]

1 < CG2 / EG2 < 15

In Equation 20, if the spacing (CG2) between the second and third lenses (102, 103) and the edge spacing (EG2) between the second and third lenses (102, 103) on the optical axis (OA) are satisfied, the optical system (1000) Can reduce chromatic aberration, improve aberration characteristics, and control vignetting for optical performance. Equation 20 may preferably satisfy the condition of 1 < CG2 / EG2 < 2.

[Equation 21]

0 < CG4 / EG4 < 1

In Equation 21, if the center spacing (CG4) and edge spacing (EG4) between the fourth and fifth lenses 104 and 105 are satisfied, the optical system can have good optical performance even in the center and periphery of the field of view (FOV), and distortion Occurrence can be suppressed.

At least one of Equations 20 and 21 may further include at least one of Equations 21-1 to 21-4.

[Equation 21-1] 1 < CG1 / EG1 < 2

[Equation 21-2] 10 < CG3 / EG3 < 15

[Equation 21-3] 2 < CG5

[Equation 21-4] (CG3 / EG3) > TTL

[Equation 22]

0 < G5_max / CG5 < 2

In Equation 23, G5_Max means the maximum distance (mm) between the fifth and sixth lenses 105 and 106. 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. Preferably, Equation 23 may satisfy 0.5 < G5_max / CG5 < 1.5.

[Equation 23]

0 < CT6 / CG5 < 1

In Equation 23, the thickness (CT6) at the optical axis (OA) of the sixth lens 106 and the gap (CG5) between the sixth lens 106 and the fifth lens 105 at the optical axis (OA) are satisfied. In this case, the optical system 1000 can reduce the effective diameter size of the fifth and sixth lenses and the center spacing between adjacent lenses, and improve optical performance in the peripheral area of the field of view (FOV). Preferably, Equation 23 may satisfy 0 < CT6 / CG5 < 0.5.

[Equation 24]

0 < CT6 / CG5 < 1

In Equation 24, if the thickness (CT6) at the optical axis (OA) of the sixth lens 106 and the gap (CG5) between the fifth and sixth lenses 105 and 106 are satisfied, the optical system 1000 is 5,6 The effective diameter size and spacing of lenses can be reduced, and optical performance in the peripheral area of the field of view (FOV) can be improved. Preferably, Equation 24 may satisfy 0 < CT6 / CG5 < 0.5.

[Equation 25]

1 < (CT5+CT6+CG5)/CG5 < 2

If Equation 25 satisfies the thickness (CT5, CT6) at the optical axis (OA) of the fifth and sixth lenses (105, 106) and the gap (CG5) between the fifth and sixth lenses (105, 106), the optical system (1000) ) can reduce the effective diameter size of the sixth lens and the center spacing between the fifth and sixth lenses, and improve optical performance in the peripheral area of the field of view (FOV). Preferably, Equation 25 may satisfy 1 < (CT5 + CT6 + CG6)/CG6 < 1.5.

[Equation 26]

1 < |L6R1 / CT6| < 50

If Equation 26 satisfies the radius of curvature (L6R1) of the 11th surface (S11) of the sixth lens 106 and the thickness (CT6) at the optical axis of the sixth lens 106, the optical system 1000 By controlling the refractive power of the sixth lens 106, the optical performance of light incident on the last lens can be improved. Preferably, equation 26 satisfies 10 < |L6R1 / CT6| < 30 can be satisfied.

[Equation 27]

-40 < L5R2 / L6R1 < -5

If Equation 28 satisfies the radius of curvature (L5R2) of the 10th surface (S10) of the fifth lens 105 and the radius of curvature (L6R1) of the 11th surface (S11) of the sixth lens 106, 5,6 The optical performance can be improved by controlling the shape and refractive power of the lens, and the optical performance of the second lens group (LG2) can be improved. Preferably, Equation 28 can satisfy the condition -20 < L5R2 / L6R1 < -5.

[Equation 28]

0 < CT_Max / CG_Max < 2

In Equation 28, the maximum value of the thickest thickness (CT_max) at the optical axis (OA) of each of the lenses and the air gap (CG_max) at the optical axis between the plurality of lenses are satisfied. In this case, the optical system 1000 has good optical performance at a set angle of view and focal distance, and the size of the optical system 1000 can be reduced, for example, the total track length (TTL) can be reduced. Preferably, Equation 28 can satisfy the condition of 0 < CT_Max / CG_Max < 1.

[Equation 29]

0 < ΣCT / ΣCG < 1

In Equation 29, ΣCT means the sum of the thicknesses (mm) at the optical axis (OA) of each of the plurality of lenses, and ΣCG is the gap at the optical axis (OA) between two adjacent lenses in the plurality of lenses ( mm) means the sum of When the optical system 1000 according to the embodiment satisfies Equation 32, 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. Preferably, Equation 29 may satisfy 0.3 < ΣCT / ΣCG < 0.9.

[Equation 30]

5 < ∑Index < 20

In Equation 30, ² means the sum of the refractive indices at the d-line of each of the plurality of lenses. 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. Here, the average refractive index of the first to sixth lenses 101-106 may be 1.55 or more. Preferably, Equation 30 may satisfy 5 < ∑Index < 15.

[Equation 31]

10 < ∑Abb / ∑Index < 50

In Equation 31, ∑Abbe means the sum of Abbe's numbers of each of the plurality of lenses. When the optical system 1000 according to the embodiment satisfies Equation 31, the optical system 1000 may have improved aberration characteristics and resolution. The average Abbe number of the first to eighth lenses 101-106 may be 45 or less. Preferably, Equation 31 may satisfy 20 < ∑Abb / ∑Index < 30.

[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. Preferably, equation 32 is 1 < |Max_distortion| < 3.5 can be satisfied.

[Equation 33]

0 < EG_Max / CT_Max < 2

In Equation 33, CT_max refers to the thickest thickness (mm) among the thicknesses at the optical axis (OA) of each of the plurality of lenses, and EG_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). Preferably, Equation 33 may satisfy 0 < EG_Max / CT_Max < 1.

[Equation 34]

0.5 < CA_L1S1 / CA_min < 2

In Equation 34, if the smallest effective diameter (CA_Min) is satisfied among the effective diameter (CA_L1S1) of the first surface (S1) of the first lens 101 and the effective diameter of the first to twelfth surfaces (S1-S12), By controlling the light incident through the first lens 101, a slim optical system can be provided while maintaining optical performance. Preferably, Equation 34 may satisfy 1 < CA_L1S1 / CA_min < 2.

[Equation 35]

1 < CA_max / CA_min < 5

In Equation 35, CA_max means the largest effective diameter among the object side and the sensor side of the plurality of lenses, and the largest effective diameter (mm) among the effective diameters (mm) of the first to twelfth surfaces (S1-S12). . 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. Preferably, Equation 35 may satisfy 2 < CA_max / CA_min < 4.

[Equation 36]

1 < CA_max / CA_Aver < 3

In Equation 36, the maximum effective diameter (CA_max) and the average effective diameter (CA_Aver) are set among the object side and the sensor side of the plurality of lenses. If these are satisfied, a slim and compact optical system can be provided. Preferably, Equation 36 may satisfy 1.5 < CA_max / CA_Aver < 2.5.

[Equation 37]

0.1 < CA_min / CA_Aver < 1

In Equation 37, the smallest effective diameter (CA_min) and average effective diameter (CA_Aver) can be set among the object side and sensor side of the plurality of lenses, and if these are satisfied, a slim and compact optical system can be provided. Preferably, Equation 37 may satisfy 0.1 < CA_min / CA_Aver ≤ 0.8.

[Equation 38]

0.1 < CA_max / (2×ImgH) < 1

In Equation 38, at the center (0.0F) of the image sensor 300 that overlaps the largest effective diameter (CA_max) of the object side and sensor side of the plurality of lenses and the optical axis (OA) of the image sensor 300. The distance (ImgH) to the diagonal end (1.0F) can be set, and if this is satisfied, 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. You can. Here, the ImgH may range from 4mm to 10mm. Preferably, Equation 38 may satisfy 0.5 ≤ CA_max / (2*ImgH) < 1.

[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 (LG1) to the sensor side of the second lens group (LG2). For example, TD is the distance from the first surface S1 of the first lens 101 to the twelfth surface S12 of the sixth lens 106 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. Preferably, Equation 39 may satisfy 0.5 < TD / CA_max < 1.

[Equation 40]

1 < F / ｜L6R1｜ < 10

In Equation 40, the total effective focal length (F) of the optical system 1000 and the radius of curvature (L6R1) of the 11th surface (S11) of the sixth lens 106 can be set. If these are satisfied, the optical system 1000 ) can reduce the size of the optical system 1000, for example, reduce the total track length (TTL). Preferably, Equation 40 may satisfy 1 < F / | L6R1 | < 3.

Equation 40 may further include the following equations 40-1 and 40-2.

[Equation 40-1]

1 < F / F# < 6

The F# may mean the F number. Preferably, Equation 40-1 may satisfy 2 < F / F # < 5.

[Equation 40-2]

0 < F / ｜L6R2｜ < 1

Equation 40-2 can set the total effective focal length (F) of the optical system 1000 and the radius of curvature (L6R2) of the twelfth surface (S12) of the sixth lens 106. Preferably, Equation 40-2 may satisfy 0 < F / | L6R2 | < 0.5.

[Equation 41]

1 < F / L1R1 < 10

In Equation 41, the radius of curvature (L1R1) and the total effective focal length (F) of the first surface (S1) of the first lens 101 can be set, and if these are satisfied, the optical system 1000 is (1000) can be reduced in size, for example, reducing TTL (total track length). Preferably, Equation 41 may satisfy 1 < F / L1R1 < 3.

[Equation 42]

300 <?lt; 500

In Equation 42, if the effective ratio of lenses according to the number of lenses (n) is satisfied, a slim optical system can be provided, where n is 5 to 7, preferably 6. Equation 42 preferably states that 400 <?lt; The condition of 500 can be satisfied.

[Equation 43]

0.5 < EPD / L1R1 < 8

Equation 43 represents the relationship between the size of the entrance pupil of the optical system and the radius of curvature of the first surface S1 of the first lens 101, and can control incident light. Preferably, Equation 43 may satisfy 0.5 < EPD / L1R1 < 2.

[Equation 44]

-3 < F1 / F2 < 0

In Equation 44, the focal lengths (F1, F2) of the first and second lenses (101, 102) can be set. Accordingly, resolution can be improved by adjusting the refractive power of the incident light of the first and second lenses 101 and 102, and TTL can be controlled. Preferably, Equation 44 may satisfy -1 < F1 / F2 < 0.

[Equation 45]

1 < F12 / F < 5

By setting the composite focal length (F12) and the total focal length (F) of the first and second lenses in Equation 45, the optical system 1000 can improve resolution by adjusting the refractive power of the incident light, and the optical system 1000 ) can control the TTL (total track length). Preferably, Equation 45 may satisfy 1 < F12 / F < 3.

[Equation 46]

0 < |F36 / F12| < 3

In Equation 46, the composite focal length of the 1-2 lens (F12), that is, the focal length of the first lens group (mm), and the composite focal length of the 3-6 lens (F36), that is, the focus of the second lens group The distance can be set, and if this is satisfied, the refractive power of the first lens group and the refractive power of the second lens group can be controlled to improve resolution, and the optical system can be provided in a slim and compact size. Additionally, when Equation 46 is satisfied, the optical system 1000 can improve aberration characteristics such as chromatic aberration and distortion aberration. Equation 46 is preferably 0.5 < |F36 / F12| in the first embodiment. < 1 can be satisfied, F12 > 0 and F36 > 0 can be satisfied, and F12 > F36 can be satisfied. In the second and third embodiments, 1 < |F36 / F12| < 3 can be satisfied, F12 > 0 and F36 < 0 can be satisfied. Also, the |F36| > F12 can be satisfied.

[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 to the upper surface of the image sensor 300. do. Preferably, Equation 47 can satisfy 5 < TTL < 15, and thus a slim and compact optical system can be provided.

[Equation 48]

2 <ImgH

Equation 48 sets the diagonal size (2*ImgH) of the image sensor 300 to be 4 mm or more, thereby providing an optical system with high resolution. Equation 48 may preferably satisfy 6 ≤ Imgh ≤ 10.

[Equation 49]

BFL < 2.5

Equation 49 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 49 may preferably satisfy 0 < BFL < 1.2.

[Equation 50]

2 < F < 20

In Equation 50, the total focal length (F) can be set to suit the optical system, and preferably, 5 < F < 15 can be satisfied.

[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 100 degrees.

[Equation 52]

0.5 < TTL / CA_max < 2

By setting the largest effective diameter (CA_max) and TTL (Total track length) among the object side and sensor side of the plurality of lenses in Equation 52, a slim and compact optical system can be provided. Preferably, Equation 52 may satisfy 0.5 < TTL / CA_max < 1.

[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. Preferably, Equation 53 may satisfy 0.8 < TTL / ImgH < 2.

[Equation 54]

0.01 <BFL/ImgH<0.5

Equation 54 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 the embodiment satisfies Equation 54, 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 is possible to secure the back focal length (BFL) for this purpose, and to minimize the gap between the last lens and the image sensor 300, so it is possible to have good optical characteristics in the center and periphery of the field of view (FOV). Preferably, Equation 54 may satisfy 0.1 ≤ BFL / Imgh ≤ 0.3.

[Equation 55]

4 <TTL/BFL<12

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 55 can satisfy 6 < TTL / BFL ≤ 10.

[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 56 may preferably satisfy 0.5 < F / TTL < 1.2.

[Equation 56-1]

0 < F# / TTL < 0.5

Equation 56-1 can set the F number (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). Preferably, Equation 57 may satisfy 5 < F / BFL < 10.

[Equation 58]

0 < F/ImgH < 1

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. Preferably, Equation 58 may satisfy 0.8 ≤ F / ImgH < 1.

[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. Preferably, Equation 59 may satisfy 1.5 ≤ F / EPD < 4.

[Equation 60]

0 < BFL/TD < 0.3

In Equation 60, the optical axis distance (BFL) between the image sensor 300 and the last lens and the optical axis distance (TD) of the lenses are set. If this is satisfied, the optical system 1000 can provide a slim and compact optical system. there is. Preferably, Equation 60 may satisfy 0 < BFL/TD ≤ 0.2. When BFL/TD exceeds 0.3, BFL is designed to be large compared to TD, so the size of the entire optical system becomes large, making it difficult to miniaturize the optical system, and the distance between the sixth lens and the image sensor becomes longer, so the sixth lens The amount of unnecessary light may increase between the image sensor and the image sensor, which causes a problem in that resolution is lowered, such as aberration characteristics are deteriorated.

[Equation 61]

0 < EPD/Imgh/FOV < 0.2

In Equation 61, the relationship between the entrance pupil size (EPD), the length of 1/2 of the maximum diagonal length of the image sensor (Imgh), and the angle of view (FOV) can be established. Accordingly, the overall size and brightness of the optical system can be controlled. Equation 61 may preferably satisfy 0 < EPD/Imgh/FOV < 0.1.

[Equation 62]

10 < FOV / F# < 70

Equation 62 can establish the relationship between the angle of view of the optical system and the F number. Equation 62 may preferably satisfy 30 < FOV / F # < 50.

[Equation 63]

0 < n1/n2 <1.5

When the refractive indices (n1, n2) at the d-line of the first and second lenses (101, 102) in Equation 63 satisfy the above range, the optical system can improve the resolution of incident light. Preferably, the condition 1 < n1/n2 <1.5 can be satisfied.

[Equation 64]

0 < n3 / n4 < 1.5

If the refractive indices (n3, n4) at the d-line of the third and fourth lenses (103, 104) of Equation 64 satisfy the above range, the optical system can improve the resolution of the incident light of the second lens group (LG2). . Preferably, Equation 64 may satisfy the condition of 1 < n3/n4 <1.5.

[Equation 65]

2 ≤|Max_Sag61| < 5

In Equation 65, Max_Sag61 is the maximum Sag value from the straight line perpendicular to the center of the object side of the 6th lens to the 11th surface (S11). If this is satisfied, the aberration of the 6th lens can be controlled, and no more than 7 elements are used. A slim optical system having a lens can be provided. Equation 65 is 2 ≤|Max_Sag61| The condition <4 can be satisfied.

[Equation 66]

2 < |Max_Sag62| < 5

In Equation 66, Max_Sag62 is the maximum Sag value from the straight line perpendicular to the center of the sensor side of the 6th lens to the 12th surface (S12). If this is satisfied, the aberration of the 6th lens can be controlled, and no more than 7 elements are used. A slim optical system having a lens can be provided. Equation 66 is 2.2 ≤|Max_Sag62| The condition <4 can be satisfied.

[Equation 67]

2 < |Max_Sag62|-|Max_Sag52| < 5

In Equation 67, Max_Sag52 is the maximum Sag value from the straight line perpendicular to the center of the sensor side of the 5th lens to the 10th surface (S10). If this is satisfied, the aberration of the 5th and 6th lenses can be controlled, 7 A slim optical system with fewer than one lens can be provided. Equation 67 is 2 < |Max_Sag62|-|Max_Sag52| <3 conditions can be satisfied.

The following equations 67-1 to 67-9 are the average (Aver_Sag61) of the Sag values of the 11th surface (S11) of the sixth lens 106 and the Sag value of the 12th surface (S12) of the sixth lens 106. The average (Aver_Sag62) and the average (Aver_Sag6) of the Sag values of the 11th and 12th sides (S11, S12) can be obtained. In addition, the average Sag value of the ninth surface (S9) of the fifth lens 105 (Aver_Sag51) and the average Sag value of the tenth surface (S10) of the fifth lens 105 (Aver_Sag52) can be obtained, The average (Aver_Sag5) of the Sag values of the 9th and 10th sides (S9, S10) can be obtained. Additionally, the difference between the Sag values for the fifth and sixth lenses 105 and 106 can be obtained.

[Equation 67-1]

1 < |Aver_Sag61| < 1.5

[Equation 67-2]

0.5 < |Aver_Sag62| < 1

[Equation 67-3]

0.8 < |Aver_Sag6| < 1.2

[Equation 67-4]

0 < |Aver_Sag51| < 0.5

[Equation 67-5]

0 < |Aver_Sag52| < 0.5

[Equation 67-6]

0 < |Aver_Sag5| < 0.5

[Equation 67-8]

8 < |Aver_Sag61 / Aver_Sag_51| < 12

[Equation 67-9]

3 < |Aver_Sag62 / Aver_Sag_52| < 8

As described above, by setting the difference in Sag values for each lens surface (S9, S10, S11, S12) of the fifth and sixth lenses (105, 106), the lens size can be set to spread the incident light to the surroundings, and the slim You can set the size of one optical system.

[Equation 68]

3 < (TTL/Imgh)*n < 10

[Equation 69]

10 < (TD_LG2/TD_LG1)*n <20

[Equation 70]

10 < (CT_Max+CG_Max)*n < 30

[Equation 71]

100 < (FOV*TTL)/n < 200

[Equation 72]

(TTL*n) < FOV

[Equation 73]

(v6*n6) < (v1*n1)

In equations 68 to 73, n is the total number of lenses, and according to the total number of lenses, the optical axis distance (TD_LG1) of the first lens group (LG1), the optical axis distance (TD_LG2) of the second lens group (LG2), and the maximum center of the lens You can set relationships with thickness (CT_Max), maximum center spacing (CG_max), FOV, TTL, etc. Accordingly, it is possible to control the chromatic aberration, resolution, size, etc. of an optical system with seven or fewer lenses.

[Equation 74]

In Equation 74, 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 73. 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 73, 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 73, 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.

FIG. 3 is an example of lens data according to the first embodiment having the optical system of FIG. 1, FIG. 8 is an example of lens data according to the second embodiment having the optical system of FIG. 1, and FIG. 13 is an example of lens data according to the second embodiment having the optical system of FIG. 1. This is an example of lens data according to the third embodiment.

3, 8, and 13, the optical system according to the first to third embodiments includes the radius of curvature at the optical axis OA of the first to sixth lenses 101-106, each lens Indicates the center thickness (CT), center spacing between lenses (CG), refractive index at d-line (588nm), Abbe's Number, effective radius (Semi-Aperture), and focal length.

The sum of the refractive indices of the plurality of lenses 100 is 7 or more and 10 or less, the Abbe sum is 200 or more and 250 or less, and the sum of the center thicknesses of all lenses is 4 mm or less, for example, in the range of 2 mm to 4 mm. The sum of the center spacing between the first to sixth lenses on the optical axis is 5 mm or less, is greater than the sum of the center thicknesses of the lenses, and may range from 3 mm to 5 mm. In addition, the average value of the effective diameter of each lens surface of the plurality of lenses 100 may be 4 mm or more, for example, in the range of 4 mm to 6.5 mm, and the average of the central thickness of each lens may be 0.7 mm or less, for example, in the range of 0.35 mm to 0.7 mm. . The sum of the effective diameters of the plurality of lenses 100 is the effective diameter from the first surface S1 to the twelfth surface S12, and may be 60 mm or more, for example, in the range of 60 mm to 90 mm.

4, 9, and 14, the lens surface of at least one or all of the plurality of lenses in the first to third embodiments may include an aspheric surface with a 30th order aspherical coefficient. For example, the first to sixth lenses 101, 102, 103, 104, 105, 106, 105, and 106 may include lens surfaces having a 30th order aspheric coefficient from the first surface S1 to the twelfth surface S12. 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.

5, 10, and 15, the first to sixth thicknesses (T1-T6) of the first to sixth lenses (101-106) are 0.1 mm in the direction (Y) from the center of each lens toward the edge. It can be expressed as the above spacing, and the spacing between adjacent lenses is the first spacing (G1) between the first and second lenses, the second spacing (G2) between the second and third lenses, and the second spacing between the third and fourth lenses. 3rd interval (G3), 4th interval between the 4th and 5th lenses (G4), 5th interval between the 5th and 6th lenses (G5), 6th interval between the 6th and 7th lenses (G6), 7th ,8 The seventh interval (G7) between lenses can be expressed as an interval of 0.1 mm or more in the direction from the center to the edge.

In the first thickness T1, the maximum thickness is 1 times or more and 1.5 times or less than the minimum thickness, and in the first interval G1, the maximum spacing is 1 times or more and 1.5 times less than the difference in the minimum spacing. In the second thickness T2, the maximum thickness is 1 time or more and 1.5 times or less the minimum thickness. In the second interval G2, the maximum interval is 1 times more and 1.5 times less than the minimum interval. In the third thickness T3, the maximum thickness is in the range of 0.8 to 1.5 times the minimum thickness. The third gap G3 has a maximum gap in the range of 2 to 6 times the maximum gap. In the fourth thickness T4, the maximum thickness is in the range of 1 to 1.5 times the minimum thickness. The fourth gap G4 may have a maximum gap 10 times or more, for example, 10 to 20 times the minimum gap. In the fifth thickness T5, the maximum thickness may be in the range of 2 to 8 times the minimum thickness. In the fifth interval G5, the maximum interval may be in the range of 2 to 8 times the minimum interval. In the sixth thickness T6, the maximum thickness may be in the range of 2 to 7 times the minimum thickness. The optical system can be provided in a slim and compact size by using the above-described first to sixth thicknesses (T1-T6) and first to fifth intervals (G1-G5).

6, 11, and 16 show the object side surface (L5S1) and the sensor side surface (L5S2) of the fifth lens 105 and the object side of the sixth lens 106 according to the first to third embodiments of the invention. It can be expressed as the height (Sag value) from the straight line in the Y-axis direction perpendicular to the center of the side surface (L6S1) and the sensor side surface (L6S2) to the lens surface at intervals of 0.1 or more. Figure 18 shows Figures 6 and 11. and the values shown graphically in FIG. 16. 6, 11, 16, and 18, the critical point of the object side surface L5S1 of the fifth lens 105 is a distance of 63% or more of the effective radius (r51) from the optical axis, for example, in the range of 63% to 83% or 68 It can be located in the range of % to 78%. The critical point of the sensor-side surface (L5S2) of the fifth lens 105 may be disposed closer to the optical axis than the critical point of the object-side surface (L5S1), for example, at a distance of 52% or less of the effective radius from the optical axis, for example, It may be located in the 32% to 52% range or 37% to 47% range.

In addition, it can be seen that L6S1 and L6S2 of the sixth lens 106 are provided without a critical point, and that the Sag values of L6S1 and L6S2 have a large difference from the Sag values of L5S2 and L5S2.

Figure 7 is a graph showing the aberration characteristics of the optical system according to the first embodiment of the invention, Figure 12 is a graph showing the aberration characteristics of the optical system according to the second embodiment of the invention, and Figure 17 is a graph showing the aberration characteristics of the optical system according to the third embodiment of the invention. This is a graph showing the aberration characteristics of the optical system.

7, 12, and 17, the aberration characteristics by the optical system according to the first to third embodiments include, from left to right, spherical aberration, astigmatic field curves, and distortion aberration ( This is a graph measuring Distortion. The graph for spherical aberration is a graph for wavelength bands of about 470 nm, about 510 nm, about 555 nm, about 610 nm, and about 650 nm, and the graph for astigmatism and distortion is a graph for light in the 555 nm wavelength band. In the above aberration characteristics, it can be interpreted that the closer each curve is to the Y-axis, the better the aberration correction function is. In the optical system 1000 according to the embodiment, it can be seen that the measured values are close to the Y-axis in most areas. That is, the optical system 1000 according to the first to third embodiments 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). As confirmed in the above examples, the lens systems of Examples 1 to 3 according to the present invention are compact and lightweight with a lens configuration of 7 or less elements, for example, 6 elements, and at the same time, have good spherical aberration, astigmatism, distortion aberration, chromatic aberration, and coma aberration. Since it is calibrated and can be implemented at high resolution, it can be used as a built-in camera optical device.

Table 1 shows the items of the above-described equations in the optical system 1000 according to the first to third embodiments, including the total track length (TTL), back focal length (BFL), and total effective focus of the optical system 1000. It relates to the distance F value, ImgH, focal lengths (F1, F2, F3, F4, F5, F6) of each of the first to sixth lenses, edge thickness, edge spacing, composite focal length, etc.

item Example 1 Example 2 Example 3 F 6.895 7.255 7.630 F1 26.062 28.520 35.446 F2 18.598 17.186 15.168 F3 44.094 52.508 63.348 F4 34.895 31.839 29.818 F5 16.366 17.669 18.713 F6 -11.499 -10.502 -9.782 F12 10.280 11.339 11.356 F36 8.880 -24.879 -20.323 ET1 0.456 0.504 0.564 ET2 0.393 0.438 0.513 ET3 0.334 0.342 0.357 ET4 0.301 0.324 0.321 ET5 0.128 0.321 0.299 ET6 0.066 0.363 0.466 EG1 0.206 0.215 0.225 EG2 0.366 0.386 0.435 EG3 0.070 0.152 0.176 EG4 1.345 1.427 1.435 EG5 0.438 0.303 0.301 FOV 97.076 94.272 91.516 E.P.D. 3.312 3.332 3.347 BFL 0.945 0.493 0.557 TD 7.974 8.806 9.025 ImgH 8.021 8.019 8.000 SD 8.477 8.806 9.025 F# 2.082 2.177 2.280 TTL 8.919 9.299 9.582

Table 2 shows the result values for Equations 1 to 40 described above in the optical system 1000 of FIG. 1. Referring to Table 2, it can be seen that the optical system 1000 satisfies at least one, two, or three of Equations 1 to 40. In detail, it can be seen that the optical system 1000 according to the embodiment satisfies all of Equations 1 to 40 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 Example 3 One 1 < CT1 / CT3 < 5 2.126 2.262 2.390 2 0.5 < CT2 / ET2 < 2 1.203 1.231 1.238 3 1 < ∑CT - CT_Aver < 4 2.730 3.413 3.540 4 1.6 < n1 1.661 1.661 1.661 5 0.5 < L6S2_max_sag to Sensor < 1.5 0.945 1.096 1.211 6 0.9 < BFL / L6S2_max_sag to Sensor < 2 1.000 0.450 0.460 7 40 < |L6S2_max slope| < 70 63.433 64.350 62.583 8 0.2 < L5S2 Inflection Point < 0.6 0.417 0.438 0.438 9 1 < CG5 / G5_min < 10 4.146 4.768 4.958 10 1 <CG5 / EG5 < 10 6.693 9.606 9.542 11 0.01 < CG1 / CG5 < 1 0.088 0.096 0.102 12 1 < CT1 / CT6 < 5 2.275 2.504 2.635 13 1 < CT5 / CT6 < 5 2.252 2.279 2.124 14 1 < L2R1 / L4R2 < 5 1.474 1.445 1.378 15 0 < (CG5 - EG5) / (CG5) < 2 0.851 0.896 0.895 16 1 < CA_L1S1 / CA_L3S1 < 2 1.059 1.059 1.059 17 1 < CA_L6S2 / CA_L4S2 < 5 2.214 2.153 2.127 18 0 < CA_L3S2 / CA_L4S1 < 1.5 0.917 0.888 0.867 19 0.5 < CA_L5S2 / CA_L6S2 < 1 0.846 0.860 0.852 20 1 < CG2 / EG2 < 15 1.381 1.363 1.293 21 0 < CG4 / EG4 < 1 0.078 0.070 0.070 22 0.5 < G5_max / CG5 < 2 1.000 1.000 1.000 23 0 < CT5 / CG5 < 1 0.238 0.235 0.222 24 0 < CT6 / CG5 < 1 0.106 0.103 0.104 25 1 < (CT5+CT6+CG5)/CG5 < 2 1.344 1.338 1.326 26 1 < |L6R1 / CT6| < 50 15.327 15.845 15.847 27 -40 < L5R2 / L6R1 < -5 -14.498 -12.376 -12.027 28 0 < CT_Max / CG_Max < 2 0.258 0.278 0.295 29 0 < ∑CT / ∑CG < 1 0.116 0.712 0.733 30 5 < ∑Index <20 9.615 9.615 9.615 31 10 < ∑Abb / ∑Index <50 23.838 23.838 23.838 32 0 < |Max_distoriton| < 5 2.960 2.539 2.470 33 0 < EG_Max / CG_Max < 2 0.459 0.491 0.499 34 0.5 < CA_L1S1 / CA_min <2 1.241 1.000 1.000 35 1 < CA_max / CA_min < 5 3.692 3.692 3.706 36 1 < CA_max / CA_Aver < 3 1.990 1.903 1.909 37 0.1 < CA_min / CA_Aver < 1 0.539 0.516 0.515 38 0.1 < CA_max / (2*ImgH) < 1 0.694 0.694 0.699 39 0.5 < TD / CA_max < 1.5 0.716 0.791 0.807 40 1 < F / L6R1 < 10 1.451 1.526 1.605

Table 3 shows the result values for Equations 41 to 80 described above in the optical system 1000 of FIG. 1. Referring to Table 3, the optical system 1000 may satisfy at least one or two of Equations 1 to 40 and at least one, two, or three of Equations 41 to 80. In detail, it can be seen that the optical system 1000 according to the embodiment satisfies all of Equations 1 to 80 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 Example 3 41 1 < F / L1R1 < 10 2.132 2.221 2.311 42 300 < ∑CA*n < 500 436.707 421.365 421.587 43 0.5 < EPD / L1R1 < 8 1.024 1.020 1.014 44 -3 < F1 / F3 < 0 0.591 0.543 0.560 45 1 < F12 / F < 5 1.491 1.563 1.488 46 0 < |F36 / F12| < 3 0.864 2.194 1.790 47 2 < TTL < 20 8.919 9.299 9.582 48 2 <ImgH 8.021 8.019 8.000 49 BFL < 2.5 0.945 0.493 0.557 50 2 < F < 20 6.895 7.255 7.630 51 FOV < 120 97.076 94.272 91.516 52 0.5 < TTL / CA_max < 2 0.801 0.835 0.857 53 0.5 <TTL/ImgH<3 1.112 1.160 1.198 54 0 < BFL/ImgH < 0.5 0.118 0.062 0.070 55 4 <TTL/BFL<12 9.440 18.850 17.204 56 0.5 < F/TTL < 1.5 0.773 0.780 0.796 57 3 < F/BFL < 10 7.298 14.706 13.698 58 0 < F/ImgH < 1 0.860 0.905 0.954 59 1 < F/EPD < 5 2.082 2.177 2.280 60 0 < BFL/TD < 0.3 0.118 0.056 0.062 61 0 < EPD/Imgh/FOV < 0.2 0.004 0.004 0.005 62 10 < FOV / F# < 70 46.633 43.306 40.146 63 0 < n1/n2 <1.5 1.076 1.076 1.076 64 0 < n3/n4 <1.5 1.076 1.076 1.076 65 2 ≤ |Max_Sag61| < 5 3.068 2.899 2.843 66 2 < |Max_Sag62| < 5 3.274 2.705 2.536 67 2 < |Max_Sag62|-|Max_Sag52| < 5 2.693 2.420 2.251 68 3 < (TTL/Imgh)*n < 10 6.671 6.958 7.187 69 10 < (TD_LG2/TD_LG1)*n <20 27.308 25.647 23.562 70 10 < (CT_Max+CG_Max)*n < 30 23.212 21.609 20.363 71 100 < (FOV*TTL)/n < 200 144.297 146.110 146.157 72 (TTL*n) < FOV Satisfaction Satisfaction Satisfaction 73 (v6*n6) < (v1*n1) Satisfaction Satisfaction Satisfaction

Figure 21 is a diagram showing a camera module according to an embodiment applied to a mobile terminal.

Referring to FIG. 21, 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
Second lens: 102
Third lens: 103
4th lens: 104
5th lens: 105
6th lens: 106
Image sensor: 300
Filter: 500
Optics: 1000

Claims (20)

It includes first to sixth 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 and has a convex object-side surface,
The fifth lens has an object-side surface that is convex from the optical axis and a sensor-side surface that is concave,
The sixth lens has a concave object side surface and a convex sensor side surface on the optical axis,
Each of the object side and sensor side of the fifth lens has a critical point,
An optical system wherein the object-side surface and the sensor-side surface of the sixth lens are provided without a critical point from the optical axis to the end of the effective area. According to claim 1,
An optical system in which the maximum Sag (Max_Sag61) value from a straight line perpendicular to the center of the object-side surface of the sixth lens to the object-side surface of the sixth lens satisfies the following equation.
2 ≤ |Max_Sag61| < 5 According to clause 2,
An optical system in which the maximum Sag (Max_Sag62) value from a straight line perpendicular to the center of the sensor-side surface of the sixth lens to the sensor-side surface of the sixth lens satisfies the following equation.
2 ≤ |Max_Sag62| < 5 According to paragraph 3,
The maximum Sag value (Max_Sag52) from a straight line perpendicular to the center of the sensor-side surface of the fifth lens to the sensor-side surface of the fifth lens and the sixth lens from a straight line perpendicular to the center of the sensor-side surface of the sixth lens The maximum Sag (Max_Sag62) value up to the sensor side of the lens is an optical system that satisfies the following equation.
2 < |Max_Sag62|-|Max_Sag52| < 5 According to any one of claims 1 to 4,
An optical system that satisfies the following equation.
3 < (TTL/Imgh)*n < 10
(TTL is the optical axis distance from the object side of the first lens to the image sensor, Imgh is the maximum diagonal length of the image sensor, and n is the total number of lenses) According to any one of claims 1 to 4,
An optical system that satisfies the following equation.
10 < (CT_Max+CG_Max)*n < 30
(CT_Max is the maximum of the center thicknesses of the first to sixth lenses, CG_Max is the maximum of the center spacing between the first to sixth lenses, and n is the total number of lenses) According to any one of claims 1 to 4,
An optical system that satisfies the following equation.
100 < (FOV*TTL)/n < 200
(TTL is the optical axis distance from the object side of the first lens to the image sensor, FOV is the angle of view, and n is the total number of lenses) According to any one of claims 1 to 4,
An optical system that satisfies the following equation.
40 < |L6S2_max slope| < 70
(L6S2_max slope represents the maximum value (Degree) of the tangential angle measured on the sensor side of the sixth lens.) According to any one of claims 1 to 4,
An optical system that satisfies the following equation.
0 < CT_Max / CG_Max < 2
(CT_Max is the maximum of the center thicknesses of the first to sixth lenses, and CG_Max is the maximum of the center spacing between the first to sixth lenses) According to clause 9,
An optical system in which the center spacing between the fifth and sixth lenses is maximum (CG_Max) and is 2 mm or more. a first lens disposed on the object side;
a second lens having a minimum effective diameter;
The last lens with the largest effective diameter; and
Includes at least two lenses between the second lens and the last lens,
An optical system in which a virtual curve passing from an end of the effective area of the object-side surface of the first lens to an end of the effective area of the object-side surface of the last lens satisfies a two-dimensional function.
y = 0.4464x ² - 1.4744x + k1
(k1 is a constant) According to clause 11,
The optical system where k1 is 2.5±0.1. According to clause 11,
An optical system in which a function for a straight line passing from the end of the effective area of the object-side surface of the lens having the minimum effective diameter to the end of the sensor-side surface of the last lens having the maximum effective diameter satisfies the following equation.
y = 1.0781x + k2
(k2 is a constant and ranges from 0.46±0.05) According to any one of claims 11 to 13,
The optical system has a 6-element lens. According to claim 14,
An optical system that satisfies the following equation.
(v6*n6) < (v1*n1)
(v1 is the Abbe number of the first lens, v6 is the Abbe number of the last lens, n1 is the refractive index of the first lens, and n6 is the refractive index of the last lens) The method according to any one of claims 11 to 14,
An optical system that satisfies the following equation.
(TTL*n) < FOV
(TTL is the optical axis distance from the object side of the first lens to the image sensor, FOV is the angle of view, and n is the total number of lenses) According to any one of claims 11 to 14,
The optical system wherein the aperture is disposed around the object-side surface of the first lens. The method according to any one of claims 11 to 14,
An optical system that satisfies the following equation.
300 <?lt; 500
(?CA is the sum of the effective diameters of the object side and sensor side of all lenses, and n is the number of total lenses) According to any one of paragraphs 14,
The sum of the central thickness of all lenses (∑CT) and the sum of the spacing between two adjacent lenses (∑CG) are
0 < ∑CT / ∑CG < 1
An optical system that satisfies the equation. image sensor; and
Comprising an optical filter disposed between the image sensor and the last lens,
The optical system includes the optical system according to claim 1 or 11,
A camera module that satisfies the following equation.
0.5 < F/TTL < 1.5
0.5 <TTL/ImgH<3
(F is the average of the total focal length in two directions perpendicular to the optical axis of the optical system, and TTL (Total track length) is the distance on the optical axis from the center of the object side of the first lens to the image surface of the sensor , Imgh is 1/2 of the maximum diagonal length of the image sensor)

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