KR102180513B1 - Lens optical system - Google Patents

Abstract

The lens optical system is disclosed. A lens optical system according to an embodiment of the present invention is a lens optical system in which lenses are sequentially arranged from an object side to an image side, comprising: a first lens having a positive refractive power and having an object side convex toward the object side; A second lens having positive or negative refractive power; A third lens having positive refractive power; And a fourth lens having negative refractive power and having an object-side surface concave toward the object-side, and a diaphragm positioned between the third lens and the fourth lens.

Description

Lens optical system {LENS OPTICAL SYSTEM}

The present invention relates to a lens optical system, and more particularly, to a lens optical system that provides high resolution and high magnification while having a short electric length.

Recently, the use of biometric recognition technology to verify the identity of an individual using human physical characteristics is increasing, centering on access control systems and computer security systems, and the scope of biometric recognition technology has conventionally been mainly fingerprint recognition. However, in recent years, the scope is gradually expanding, such as iris recognition, voice recognition, and vein recognition.

In particular, the iris surrounding the pupil of the eye has distinct individual characteristics so that even identical twins have completely different patterns, and is known to have much better recognition accuracy than fingerprints, so the number of cases of applying iris recognition technology is increasing significantly.

For iris recognition, the process of acquiring an image of the iris using an optical system, the process of generating an iris code by extracting features from the image data of the iris, and the process of checking whether the generated iris code is matched with the stored iris code. It goes through the back.

On the other hand, it is known that in order to accurately extract features by processing the iris image by software, when the diameter of the iris is 10 to 11 mm and the object distance is 300 mm, the image formed on the image sensor of the camera module must be at least 200 pixels in the vertical direction. have.

On the other hand, Korean Patent Registration No. 10-1558139 "Shooting Lens Optical System" discloses a photographing lens optical system used in a vehicle camera.

An object of the present invention is to provide a compact, high-resolution, and high-magnification lens optical system.

In addition, an object of the present invention is to implement a high-resolution camera combined with a small, high-resolution image sensor having a small pixel size.

In addition, an object of the present invention is to provide a lens optical system for iris recognition that has a very short overall length compared to a focal length compared to the prior art to stably acquire an iris image, and to apply it to a small photographic lens for iris recognition.

In addition, an object of the present invention is to be applied to lens optical systems such as mobile phones, portable terminals, and digital cameras.

A lens optical system according to an embodiment of the present invention for achieving the above object is a lens optical system in which lenses are sequentially arranged from an object side to an image side, comprising: a first lens having a positive refractive power and having an object side convex toward the object side; A second lens having positive or negative refractive power; A third lens having positive refractive power; A fourth lens having negative refractive power and having an object-side surface concave toward the object side, and a diaphragm positioned between the third lens and the fourth lens may satisfy the following conditional expression.

Conditional Expression: First Lens

0.75 <| f1/f | <1.2

Here, f1 is a focal length of the first lens, and f is a focal length of the lens optical system.

In this case, at least one of the first to fourth lenses may have an aspherical lens surface.

In this case, at least one of the first to fourth lenses may be formed of a plastic material.

In this case, the lens optical system may satisfy the following conditional expression.

Conditional expression: fourth lens

-0.85 <| f4/f | <-0.45

Here, f4 is a focal length of the fourth lens, and f is a focal length of the lens optical system.

In this case, the overall length of the lens optical system (OVERALL LENGTH) may be smaller than the focal length of the lens optical system.

In addition, a lens optical system according to an embodiment of the present invention for achieving the above object is a lens optical system in which lenses are sequentially arranged from an object side to an image side, and has a positive refractive power, and the object side surface is convex toward the object side. lens; A second lens having positive or negative refractive power; A third lens having positive refractive power; A fourth lens having negative refractive power and having an object-side surface concave toward the object side, and a diaphragm positioned between the third lens and the fourth lens may satisfy the following conditional expression.

Conditional expression: fourth lens

-0.85 <| f4/f | <-0.45

Here, f4 is a focal length of the fourth lens, and f is a focal length of the lens optical system.

In this case, at least one of the first to fourth lenses may have an aspherical lens surface.

In this case, at least one of the first to fourth lenses may be formed of a plastic material.

In this case, the lens optical system may satisfy the following conditional expression.

0.75 <| f1/f | <1.2

Here, f1 is a focal length of the first lens, and f is a focal length of the lens optical system.

In this case, the overall length of the lens optical system (OVERALL LENGTH) may be smaller than the focal length of the lens optical system.

The present invention can provide a compact, high-resolution, and high-magnification lens optical system.

In addition, the present invention can implement a high-resolution camera combined with a small, high-resolution image sensor having a small pixel size.

In addition, the present invention provides a lens optical system for iris recognition that has a very short overall length compared to a focal length compared to the prior art to stably acquire an iris image and can be applied to a small photographing lens for iris recognition.

Further, the present invention can be applied to a lens optical system such as a mobile phone, a portable terminal, and a digital camera.

1 and 2 are views showing a lens optical system according to an embodiment of the present invention.
3 is a view showing aberration of a lens optical system according to an embodiment of the present invention.
4 and 5 are views showing a lens optical system corresponding to a lower limit of a conditional expression of a first lens according to an embodiment of the present invention.
6 is a view showing aberration of a lens optical system corresponding to a lower limit of a conditional expression of a first lens according to an embodiment of the present invention.
7 and 8 are views showing a lens optical system corresponding to an upper limit of a conditional expression of a first lens according to an embodiment of the present invention.
9 is a view showing aberration of a lens optical system corresponding to an upper limit of a conditional expression of a first lens according to an embodiment of the present invention.
10 and 11 are diagrams illustrating a lens optical system corresponding to a lower limit of a conditional expression of a fourth lens according to an embodiment of the present invention.
12 is a view showing aberration of a lens optical system corresponding to a lower limit of a conditional expression of a fourth lens according to an embodiment of the present invention.
13 and 14 are views showing a lens optical system corresponding to an upper limit of a conditional expression of a fourth lens according to an embodiment of the present invention.
15 is a diagram illustrating aberration of a lens optical system corresponding to an upper limit of a conditional expression of a fourth lens according to an embodiment of the present invention.

The present invention will be described in detail with reference to the accompanying drawings as follows. Here, repeated descriptions, known functions that may unnecessarily obscure the subject matter of the present invention, and detailed descriptions of configurations are omitted. Embodiments of the present invention are provided to more completely explain the present invention to those with average knowledge in the art. Accordingly, the shapes and sizes of elements in the drawings may be exaggerated for clearer explanation.

Throughout the specification, when a part "includes" a certain component, it means that other components may be further included rather than excluding other components unless specifically stated to the contrary.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings.

1 and 2 are views showing a lens optical system according to an embodiment of the present invention.

1, a lens optical system according to an embodiment of the present invention includes a first lens 10, a second lens 20, a third lens 30, an aperture 40, and a fourth lens 50. Include.

In this case, in the lens optical system, lenses may be sequentially arranged from the object side to the image side.

The first lens 10 has positive refractive power, and the object side surface may be convex toward the object side.

The second lens 20 may have positive or negative refractive power.

The third lens 30 may have positive refractive power.

The fourth lens 50 may have negative refractive power, and the object side surface may be concave toward the object side.

The aperture 40 may be positioned between the third lens 30 and the fourth lens 50.

An image sensor may be additionally included on the upper surface 70.

In this case, the dummy glass 60 may be positioned between the fourth lens 50 and the upper surface 70 (60).

The dummy glass 60 may correspond to the filter member.

For example, the filter member may include filter functions such as an infrared cut filter and a day/night filter.

In this case, at least one of the first to fourth lenses 10 to 50 may have an aspherical lens surface. All of the first to fourth lenses 10 to 50 may have aspherical lens surfaces, but are not limited thereto.

At this time, at least one of the first to fourth lenses 10 to 50 may be formed of a plastic material. All of the first to fourth lenses 10 to 50 may be formed of a plastic material, but are not limited thereto.

[Equation 1]

Among the lenses of the lens optical system according to an embodiment of the present invention, a lens formed as an aspherical surface may satisfy the aspherical surface equation of Equation 1 above.

Here, it can be seen that z denotes the distance in the direction of the optical axis from the vertex of the lens, and y denotes the distance in the direction perpendicular to the optical axis. In addition, it can be seen that R represents the radius of curvature at the apex of the lens, and K represents the conic constant. In addition, it can be seen that A2 to A12 respectively represent aspheric coefficients.

In addition, the first lens 10 may satisfy the conditional expression of the first lens of Equation 2.

[Equation 2]

0.75 <| f1/f | <1.2

Here, f1 is a focal length of the first lens 10, and f is a focal length of the lens optical system.

At this time, in the lens optical system according to an embodiment of the present invention, when the condition of the first lens 10 is out of the condition, the fluctuation of the image surface curvature increases, and the manufacturing tolerance of the single lens unit and the assembly tolerance of the lens assembly in order to satisfy the resolution. It gets tricky.

In addition, the fourth lens 50 may satisfy the conditional expression of the fourth lens of Equation 3.

[Equation 3]

-0.85 <| f4/f | <-0.45

Here, f4 is a focal length of the fourth lens, and f is a focal length of the lens optical system.

At this time, in the lens optical system according to an embodiment of the present invention, when the condition of the fourth lens 50 is exceeded, the fluctuation of the image surface curvature increases, and in order to satisfy the resolution, the manufacturing tolerance of the lens unit and the assembly tolerance of the lens assembly It gets tricky.

Therefore, the lens optical system according to an embodiment of the present invention can prevent the fluctuation of the image surface curvature pointed out as a problem above when the condition of the first lens 10 or the condition of the fourth lens 50 is satisfied. The tolerance and the assembly tolerance of the lens assembly can be facilitated.

In addition, in the lens optical system according to an embodiment of the present invention, when the condition of the first lens 10 or the condition of the fourth lens 50 is satisfied, the overall length of the lens optical system is the focal length of the lens optical system. A lens optical system with high magnification and high resolution can be provided while being able to design smaller.

In this case, when the lens optical system according to an embodiment of the present invention is applied to an iris recognition lens, an iris image corresponding to 10 to 11 mm can be stably obtained even at a distance of about 300 mm that the user can conveniently photograph. The convenience of use of the optical system for recognition lenses can be greatly improved.

In this case, the lens optical system according to an embodiment of the present invention may satisfy such that an image formed on the image sensor of the camera module of the lens optical system for iris recognition is 200 pixels or more in the vertical direction.

3 is a view showing aberration of a lens optical system according to an embodiment of the present invention.

The aberration of the lens optical system according to an embodiment of the present invention may be calculated as shown in FIG. 3 according to lens data shown in Table 1.

No f D Ratio First lens 6.874251 4.5 0.997 Second lens 265.3813 2.798 38.479 3rd lens 11.35865 2.0187 1.647 4th lens -4.59639 2.4961 -0.666 OAL 6.2495 0.906 EFL 6.8968 FNO 2.3447

In this case, f is the focal length, D is the thickness (mm), Ratio (focal length ratio) is the value obtained by dividing the focal length of the lens by the focal length of the lens optical system, and OAL (OverAll Length) is the total length of the lens optical system (mm). , EFL (Effective Focal Length) represents the effective focal length (mm) and FNO (F-number) represents the f-value (focal length of the lens / effective aperture diameter).

Referring to Table 1, the focal length ratio of the first lens 10 is 0.997, and the condition of the first lens 10 is 0.75 <| f1/f | Since it is <1.2, it can be seen that the condition is satisfied.

The focal length ratio of the fourth lens 50 is -0.666, and the condition of the fourth lens 50 is -0.85 <| f4/f | <-0.45, so it can be seen that the condition is satisfied.

Accordingly, as shown in FIG. 2, it can be seen that the image of the object is correctly incident on the upper surface 70.

4 and 5 are diagrams illustrating a lens optical system corresponding to a lower limit of a conditional expression of a first lens according to an embodiment of the present invention. 6 is a view showing aberration of a lens optical system corresponding to a lower limit of a conditional expression of a first lens according to an embodiment of the present invention.

Referring to FIGS. 4 and 5, lens data corresponding to the lower limit of the conditional expression of the first lens 10 according to an embodiment of the present invention may be represented as Tables 2 and 3.

No f D Ratio First lens 5.16584 4.5 0.749 Second lens -13.8612 2.8739 -2.010 3rd lens 9.201263 1.8883 1.334 4th lens -4.25516 2.5882 -0.617 OAL 6.0141 0.872 EFL 6.8805 FNO 2.3391

In this case, f is the focal length, D is the thickness (mm), Ratio (focal length ratio) is the value obtained by dividing the focal length of the lens by the focal length of the lens optical system, and OAL (OverAll Length) is the total length of the lens optical system (mm). , EFL (Effective Focal Length) represents the effective focal length (mm) and FNO (F-number) represents the f-value (focal length of the lens / effective aperture diameter).

s R D N ND VD CLH -One ******** 350 One 0 100 0 ******** 0 One 0 100 One 2.57703 1.0209 APEL 1.551 0 2.25 2 5.36113 1.274 One 0 100 3 20.12792 0.3862 APEL 1.551 0 100 4 -43.7397 0.6844 One 0 100 5 59.997 0.3406 APEL 1.551 0 100 6 -6.40773 0.1791 One 0 100 7 0 0.2398 One 0 0.75 8 0 1.1 One 0 100 9 -2.76429 0.6 APEL 1.551 0 100 10 11.14241 0.1 One 0 100 11 ******** 0.3 BSC7 1.5168 64.2 100 12 ******** 1.025 One 0 100 13 ******** 0 One 0 100 14 ******** 0 One 0 100 F.L 6.8713 MAG -.020328 BACK.F 1.0250 STOP SUF,DIS 1 .000 ENP= .000 EXP= -4.081
SUM D= 7.250

Here, each side (s) can be represented as follows.

s-1: object plane

s0: hibernation (virtual)

s1-s2: first lens

s3-s4: second lens

s5-s6: third lens

s7: Stop surface

s8: Dummy surface

s9-s10: fourth lens

s11-s12: IR Filter

s13: Dummy surface

s14: top surface

Here, the * mark after the surface number indicates that the surface is aspherical.

Here, R is a radius of curvature, D is a thickness, N is a material of the lens (APEL is an example of a plastic material, BSC7 is an example of a glass material), ND is a refractive index of the lens, and VD is an Abbe number.

Referring to Table 2, the focal length ratio of the first lens 10 is 0.749, and the condition of the first lens 10 is 0.75 <| f1/f | Since <1.2, it can be seen that it corresponds to the lower limit of the conditional expression of the first lens 10.

Accordingly, as shown in FIG. 5, it can be seen that the image of the object is correctly incident on the upper surface 70.

Aspheric coefficients of the lenses for calculating the aberration of the lens optical system corresponding to the lower limit of the conditional expression of the first lens according to the embodiment of the present invention shown in FIG. 6 may be expressed as shown in Table 4.

s1 s2 s3 s4 k 0.00E+00 -2.13E+01 -1.00E+03 -5.00E+00 A4 -1.15524369190E-03 2.02496106850E-02 2.29597428650E-02 1.37938022690E-02 A6 1.31778292100E-04 -2.80885899230E-03 -1.25690496010E-02 -9.94329015570E-03 A8 4.15549031820E-05 7.09761676590E-04 4.35232940390E-03 4.76424386410E-03 A10 -1.85216173150E-05 -1.61567973480E-04 -4.95722286810E-04 -6.66496021180E-04 A12 -8.38383474640E-07 1.50897952940E-05 s5 s6 s9 s10 k 0.00E+00 0.00E+00 -2.77E+01 -1.00E+03 A4 -4.62915796710E-02 -5.65070922240E-02 -2.81337777090E-01 -5.16779766020E-02 A6 -3.00694708090E-02 -2.27695486460E-02 2.55197172350E-01 -8.69467004970E-04 A8 2.03044418470E-03 -1.06680854070E-03 -2.41357222410E-01 1.97334140340E-02 A10 -5.55307620800E-03 1.92501713570E-04 1.41655902960E-01 -1.20722152310E-02 A12 -3.07992019540E-02 2.82365140130E-03

7 and 8 are views showing a lens optical system corresponding to an upper limit of a conditional expression of a first lens according to an embodiment of the present invention. 9 is a view showing aberration of a lens optical system corresponding to an upper limit of a conditional expression of a first lens according to an embodiment of the present invention.

Referring to FIGS. 7 and 8, lens data corresponding to the upper limit of the conditional expression of the first lens 10 according to an embodiment of the present invention may be represented as Tables 5 and 6.

No f D Ratio One 8.199 4.500 1.189 2 25.747 2.922 3.733 3 10.810 2.001 1.567 4 -4.067 2.444 -0.590 OAL 6.225 0.903 EFL 6.8773 FNO 2.338

s R D N ND VD CLH -One ******* 350 One 0 100 0 ******* 0 One 0 100 One 2.32489 1.4 APEL 1.551 0 2.25 2 11.39182 0.6082 One 0 100 3 43.52225 0.3409 APEL 1.551 0 100 4 6.33417 0.65 One 0 100 5 33.19695 0.3294 APEL 1.551 0 100 6 -5.77897 0.1571 One 0 100 7 0 0.1014 One 0 0.75 8 0 0.8271 One 0 100 9 -2.87982 1.2 APEL 1.551 0 100 10 12.61871 0.1 One 0 100 11 ******* 0.3 BSC7 1.5168 64.2 100 12 ******* 0.9194 One 0 100 13 ******* 0 One 0 100 14 ******* 0 One 0 100 F.L 6.8742 MAG -.020353 BACK.F .9194 STOP SUF,DIS 1 .000 ENP= .000 EXP= -4.000
SUM D= 6.934

Referring to Table 5, the focal length ratio of the first lens 10 is 1.189, and the condition of the first lens 10 is 0.75 <| f1/f | Since <1.2, it can be seen that it corresponds to the upper limit of the conditional expression of the first lens 10.

Accordingly, as shown in FIG. 8, it can be seen that the image of the object is correctly incident on the upper surface 70.

Aspheric coefficients of the lenses for calculating the aberration of the lens optical system corresponding to the upper limit of the conditional expression of the first lens according to the embodiment of the present invention shown in FIG. 9 may be expressed as shown in Table 7.

s1 s2 s3 s4 k 0.00E+00 -2.49E+01 -1.00E+03 -5.00E+00 A4 -5.84364522980E-04 1.34771992500E-02 2.52124736170E-02 2.13095387670E-02 A6 -2.76101594210E-04 -2.22217587820E-03 -1.23763717200E-02 -1.02293550440E-02 A8 2.07601633620E-05 7.52024167990E-04 4.45031524640E-03 5.26291483990E-03 A10 6.71484642010E-06 -1.58356763800E-04 -4.96153161870E-04 -4.09672834980E-05 A12 -2.74019740010E-06 1.55340873370E-05 s5 s6 s9 s10 k 0.00E+00 0.00E+00 -2.87E+01 -1.00E+03 A4 -5.49558993140E-02 -5.59252544680E-02 -2.11495616760E-01 -8.28649722820E-03 A6 -2.86445435750E-02 -2.47171896340E-02 1.87199014920E-01 -2.09549456170E-02 A8 4.64963510580E-04 -1.71124088990E-03 -1.95168430190E-01 1.85657391160E-02 A10 -6.85291842000E-03 -1.24729537370E-04 1.16032439930E-01 -8.17893179740E-03 A12 -2.87753108870E-02 1.42062531250E-03

10 and 11 are diagrams illustrating a lens optical system corresponding to a lower limit of a conditional expression of a fourth lens according to an embodiment of the present invention. 12 is a view showing aberration of a lens optical system corresponding to a lower limit of a conditional expression of a fourth lens according to an embodiment of the present invention.

10 and 11, lens data corresponding to the lower limit of the conditional expression of the fourth lens 50 according to an embodiment of the present invention may be represented as Tables 8 and 9.

No f D Ratio First lens 7.04973 4.5 1.022 Second lens -51.9385 2.9136 -7.531 3rd lens 9.739889 2.054 1.412 4th lens -5.76984 2.5032 -0.837 OAL 6.2535 0.907 EFL 6.8217 FNO 2.3191

s R D N ND VD CLH -One ******** 350 One 0 100 0 ******** 0 One 0 100 One 2.48495 1.1435 APEL 1.551 0 2.25 2 6.08042 1.2443 One 0 100 3 21.6616 0.3915 APEL 1.551 0 100 4 12.11071 0.6075 One 0 100 5 37.8884 0.3205 APEL 1.551 0 100 6 -6.04382 0.2414 One 0 100 7 0 0.2024 One 0 0.75 8 0 1.1024 One 0 100 9 -3.87207 0.6 APEL 1.551 0 100 10 16.27364 0.1 One 0 100 11 ******** 0.3 BSC7 1.5168 64.2 100 12 ******** 0.9966 One 0 100 13 ******** 0 One 0 100 14 ******** 0 One 0 100 F.L 6.8168 MAG -.020091 BACK.F .9966 STOP SUF,DIS 1 .000 ENP= .000 EXP= -4.480
SUM D= 7.250

Referring to Table 8, the focal length ratio of the fourth lens 50 is -0.837, and the condition of the fourth lens 50 is -0.85 <| f4/f | It can be seen that it corresponds to the lower limit of the conditional expression because it is <-0.45

Accordingly, as shown in FIG. 11, it can be seen that the image of the object is correctly incident on the upper surface 70.

Aspheric coefficients of the lenses for calculating the aberration of the lens optical system corresponding to the lower limit of the conditional expression of the fourth lens 50 according to the embodiment of the present invention shown in FIG.

s1 s2 s3 s4 k 0.00000000000E+00 -2.23032105060E+01 -1.00000000000E+03 -5.00000000000E+00 A4 -7.57E-04 1.64E-02 3.15E-02 2.86E-02 A6 -1.97821973590E-04 -2.29726262290E-03 -1.11319501070E-02 -9.00863520360E-03 A8 7.45E-05 7.39E-04 4.63E-03 5.84E-03 A10 -7.12324559320E-06 -1.59769229530E-04 -4.51787358620E-04 -4.50209454620E-05 A12 -1.85E-06 1.52E-05 s5 s6 s9 s10 k 0.00000000000E+00 0.00000000000E+00 -3.33044406070E+01 -1.00000000000E+03 A4 -4.60E-02 -4.85E-02 -1.52E-01 -2.69E-02 A6 -2.71843261340E-02 -1.91153931550E-02 1.55986283950E-01 -9.30489704750E-03 A8 3.50E-03 -1.28E-04 -1.90E-01 1.51E-02 A10 -4.39814092650E-03 -4.74600819940E-04 1.39329165220E-01 -7.54428229770E-03 A12 -3.89E-02 1.67E-03

13 and 14 are views showing a lens optical system corresponding to an upper limit of a conditional expression of a fourth lens according to an embodiment of the present invention. 15 is a diagram illustrating aberration of a lens optical system corresponding to an upper limit of a conditional expression of a fourth lens according to an embodiment of the present invention.

13 and 14, lens data corresponding to the upper limit of the conditional expression of the fourth lens 10 according to an embodiment of the present invention may be represented as Tables 11 and 12.

No f D Ratio First lens 7.687758 4.5 1.115 Second lens 49.93911 2.7992 7.241 3rd lens 7.99693 1.9593 1.160 4th lens -3.17974 2.5332 -0.461 OAL 6.3668 0.923 EFL 6.9735 FNO 2.3707

s R D N ND VD CLH -One ********** 350 One 0 100 0 ********** 0 One 0 100 One 2.59503 1.0283 APEL 1.551 0 2.25 2 6.02931 1.1838 One 0 100 3 22.51499 0.3398 APEL 1.551 0 100 4 140.2541 0.649 One 0 100 5 17.60727 0.464 APEL 1.551 0 100 6 -5.62071 0.1 One 0 100 7 0 0.1652 One 0 0.75 8 0 1.0867 One 0 100 9 -2.15289 0.95 APEL 1.551 0 100 10 9.48512 0.1 One 0 100 11 ********** 0.3 BSC7 1.5168 64.2 100 12 ********** 0.8933 One 0 100 13 ********** 0 One 0 100 14 ********** 0 One 0 100 F.L 6.9669 MAG -.020692 BACK.F .8933 STOP SUF,DIS 1 .000 ENP= .000 EXP= -3.793
SUM D= 7.260

Referring to Table 11, the focal length ratio of the fourth lens 50 is -0.461, and the condition of the fourth lens 50 is -0.85 <| f4/f | Since <-0.45, it can be seen that it corresponds to the upper limit of the conditional expression.

Accordingly, as shown in FIG. 14, it can be seen that the image of the object is correctly incident on the upper surface 70.

Aspheric coefficients of the lenses for calculating the aberration of the lens optical system corresponding to the upper limit of the conditional expression of the fourth lens 50 according to the embodiment of the present invention shown in FIG. 15 may be represented as shown in Table 13.

s1 s2 s3 s4 k 0.00000000000E+00 -2.14E+01 -1.00E+03 -5.00E+00 A4 -1.67E-03 1.43260896620E-02 1.82721532130E-02 1.12783259390E-02 A6 -2.69609631020E-04 -2.65444651940E-03 -1.23421748480E-02 -1.12312177690E-02 A8 5.37887746430E-05 7.12406493040E-04 4.32552839700E-03 4.59122998130E-03 A10 -1.58471530420E-05 -1.63986465930E-04 -5.50688746220E-04 -5.94170809440E-04 A12 -2.09572898360E-06 1.41954422520E-05 s5 s6 s9 s10 k 0.00E+00 0.00E+00 -2.58E+01 -1.00E+03 A4 -4.65378837560E-02 -5.96574349920E-02 -3.72709041740E-01 -2.23823525710E-02 A6 -3.21631285010E-02 -2.47471220140E-02 4.28987819860E-01 -1.69030080420E-02 A8 1.46395901660E-03 -8.39374303690E-04 -4.38442581080E-01 2.57249202770E-02 A10 -6.81298925440E-03 1.26510474290E-03 2.64720577250E-01 -1.18192631190E-02 A12 -6.23251033650E-02 2.14079303970E-03

As described above, the optical system of the lens according to an embodiment of the present invention is not limited to the configuration and method of the embodiments described as described above, but the embodiments are All or some may be selectively combined and configured.

10: first lens 20: second lens
30: third lens 40: aperture
50: fourth lens 60: dummy glass
70: top

Claims (10)

delete delete delete delete delete In a lens optical system in which lenses are sequentially arranged from an object side to an image side,
A first lens having positive refractive power and having an object-side surface convex toward the object-side;
A second lens having positive or negative refractive power;
A third lens having positive refractive power;
A fourth lens having negative refractive power and having an object side concave toward the object side; And
An aperture positioned between the third lens and the fourth lens;
Including,
The thickness of the second lens is thicker than that of the third lens,
The thickness of the fourth lens is thicker than the thickness of the third lens,
The thickness of the second lens is thicker than the thickness of the fourth lens,
A lens optical system, characterized in that it satisfies the following conditional expression.
Conditional Expression: Fourth Lens Condition
-0.85 <f4/f <-0.45
Here, f4 is a focal length of the fourth lens, and f is a focal length of the lens optical system. delete delete The method of claim 6,
The thickness of the first lens is
Lens optical system, characterized in that the thickest of the lenses of the lens optical system. The method of claim 6,
The lens optical system
A lens optical system, characterized in that it satisfies the following conditional expression.
0.75 <f1/f <1.2
Here, f1 is a focal length of the first lens, and f is a focal length of the lens optical system.

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