OPTICAL IMAGING SYSTEM COMPRISING COMPOSITE LENS SURFACE AND IMAGING DEVICE COMPRISING THE SAME, AND METHOD OF DESIGNING COMPOSITE LENS SURFACE

Abstract

An optical imaging system includes one or more lens surfaces divided into a plurality of areas, wherein adjacent areas among the plurality of areas are surfaces expressed by different equations, and light passing through each of the plurality of areas may be imaged on the image surface of the same image sensor. According to the disclosure, it is possible to form a composite lens surface by composing different shapes of curved surfaces on a lens surface constituting an optical imaging system and increase a design freedom of the optical imaging system. Further, it is possible to significantly improve optical characteristics of the optical imaging system, such as increasing the definition of image or the MTF property and the like. By applying plurality of such divided surface areas, it is also possible to optimize, synthesize, or manipulate the optical characteristics of the optical imaging system relevant to each interested field area.

Claims

1. An optical imaging system comprising one or more lens surfaces divided into a plurality of areas, wherein adjacent areas among the plurality of areas are surfaces expressed by different equations, and light passing through each of the plurality of areas is imaged on the image surface of the same image sensor.

2. The optical imaging system of claim 1, wherein the adjacent areas among the plurality of areas are aspherical or spherical surfaces expressed by different equations.

3. The optical imaging system of claim 1, wherein the adjacent areas among the plurality of areas have the same sag height of the lens surface or the same slope on the boundary.

4. The optical imaging system of claim 1, wherein the plurality of areas are one of a rotationally symmetric surface, a non-rotationally symmetric surface, and a freeform surface, respectively.

5. The optical imaging system of claim 1, wherein the plurality of areas is formed on the last lens surface of the optical system.

6. The optical imaging system of claim 1, wherein the plurality of areas include two or more of plurality of areas from a first area to an n-th area and a sag (Z(r)) of the lens surface of each area is calculated by the following Equation. $Z\left(r\right)=\frac{\frac{{\left(r-d_1\right)}^2}{R_1}}{1+\sqrt{1-\left(1+k_1\right)\frac{{\left(r-d_1\right)}^2}{R_1^2}}}+{A_1\left(r-d_1\right)}^4+{B_1\left(r-d_1\right)}^6+{C_1\left(r-d_1\right)}^8...\left(.Math.r.Math.\le r_1\right)$ $Z\left(r\right)=\frac{\frac{{\left(r-d_2\right)}^2}{R_2}}{1+\sqrt{1-\left(1+k_2\right)\frac{{\left(r-d_2\right)}^2}{R_2^2}}}+{A_2\left(r-d_2\right)}^4+{B_2\left(r-d_2\right)}^6+{C_2\left(r-d_2\right)}^8...\left(r_1\le .Math.r.Math.\le r_2\right)...Z\left(r\right)=\frac{\frac{{\left(r-d_i\right)}^2}{R_i}}{1+\sqrt{1-\left(1+k_i\right)\frac{{\left(r-d_i\right)}^2}{R_i^2}}}+{A_i\left(r-d_i\right)}^4+{B_i\left(r-d_i\right)}^6+{C_i\left(r-d_i\right)}^8...\left(r_{i-1}\le .Math.r.Math.\le r_i\right)...Z\left(r\right)=\frac{\frac{{\left(r-d_n\right)}^2}{R_n}}{1+\sqrt{1-\left(1+k_n\right)\frac{{\left(r-d_n\right)}^2}{R_n^2}}}+{A_n\left(r-d_n\right)}^4+{B_n\left(r-d_n\right)}^6+{C_n\left(r-d_n\right)}^8...\left(r_{n-1}\le .Math.r.Math.\le r_c\right)$ (r represents a radial distance, r.sub.e represents an effective radius of the lens, |r|r.sub.1 represents a range of a first area, r.sub.1≤|r|≤r.sub.2 represents a range of a second area, r.sub.i−1≤|r|≤r.sub.i represents a range of an i-th area, r.sub.n−1≤|r|≤r.sub.e represents a range of an n-th area, and d.sub.1, d.sub.2, . . . d.sub.n represent reference positions of the radial distance in each area and are the number including 0).

7. The optical imaging system of claim 1, wherein the adjacent areas among the plurality of areas are expressed by the same or different basis functions selected from an x.sup.n aspherical function, a Q.sub.con aspherical function, a Q.sub.bsf aspherical function, and a Zernike function.

8. An imaging device comprising: an image sensor; and an optical imaging system including one or more lens surfaces divided into a plurality of areas, wherein adjacent areas among the plurality of areas are surfaces expressed by different equations, and light passing through each of the plurality of areas is imaged on the image surface of the image sensor.

9. The imaging device of claim 8, wherein the adjacent areas among the plurality of areas of the optical imaging system are aspherical or spherical surfaces expressed by different equations.

10. The imaging device of claim 8, wherein the plurality of areas of the optical imaging system include two or more of plurality of areas from a first area to an n-th area and a sag (Z(r)) of the lens surface of each area is calculated by the following Equation. $Z\left(r\right)=\frac{\frac{{\left(r-d_1\right)}^2}{R_1}}{1+\sqrt{1-\left(1+k_1\right)\frac{{\left(r-d_1\right)}^2}{R_1^2}}}+{A_1\left(r-d_1\right)}^4+{B_1\left(r-d_1\right)}^6+{C_1\left(r-d_1\right)}^8...\left(.Math.r.Math.\le r_1\right)$ $Z\left(r\right)=\frac{\frac{{\left(r-d_2\right)}^2}{R_2}}{1+\sqrt{1-\left(1+k_2\right)\frac{{\left(r-d_2\right)}^2}{R_2^2}}}+{A_2\left(r-d_2\right)}^4+{B_2\left(r-d_2\right)}^6+{C_2\left(r-d_2\right)}^8...\left(r_1\le .Math.r.Math.\le r_2\right)...Z\left(r\right)=\frac{\frac{{\left(r-d_i\right)}^2}{R_i}}{1+\sqrt{1-\left(1+k_i\right)\frac{{\left(r-d_i\right)}^2}{R_i^2}}}+{A_i\left(r-d_i\right)}^4+{B_i\left(r-d_i\right)}^6+{C_i\left(r-d_i\right)}^8...\left(r_{i-1}\le .Math.r.Math.\le r_i\right)...Z\left(r\right)=\frac{\frac{{\left(r-d_n\right)}^2}{R_n}}{1+\sqrt{1-\left(1+k_n\right)\frac{{\left(r-d_n\right)}^2}{R_n^2}}}+{A_n\left(r-d_n\right)}^4+{B_n\left(r-d_n\right)}^6+{C_n\left(r-d_n\right)}^8...\left(r_{n-1}\le .Math.r.Math.\le r_c\right)$ (r represents a radial distance, r.sub.e represents an effective radius of the lens, |r|≤r.sub.1 represents a range of a first area, r.sub.1≤|r|≤r.sub.2 represents a range of a second area, r.sub.i−1≤|r|≤r.sub.i represents a range of an i-th area, r.sub.n−1≤|r|≤r.sub.e represents a range of an n-th area, and d.sub.1, d.sub.2, . . . d.sub.n represent reference positions of the radial distance in each area and are the number including 0).

11. A method of designing a composite lens surface to be applied to a lens surface of an optical imaging system, the method comprising the steps of: calculating basic design values of a lens surface using inputted basic data; and determining a basis including a basis element of which similarity (s) satisfies a predetermined condition as compared with the basic design values for a predetermined range on the lens surface, but determining coefficients of the basis so that sag heights of a lens surface by a curved surface function of a first area and a lens surface by a curved surface function of a second area are the same or slopes are the same as each other on a boundary of the first area and the second area adjacent to each other.

12. The method of designing the composite lens surface of claim 11, wherein when determining the basis including the basis element of which the similarity (s) satisfies the predetermined condition as compared with the basic design values, the similarity (s) is calculated using the following Equation in the predetermined range.
s=sim[{z(r)−z.sub.c(r)},f.sub.i(r)].sub.a.sup.b (r represents a radial distance, z(r) represents a sag of the lens surface, z.sub.c(r) represents a conic term of the lens surface, f.sub.i(r) represents an i-th basis element, and a and b represent surface area division positions, respectively.)

13. The method of designing the composite lens surface of claim 11, wherein when determining the basis including the basis element of which the similarity (s) satisfies the predetermined condition as compared with the basic design values, in the case that the basis consists of orthonormal basis elements, the similarity (s) is calculated using the following Equation. $s=\frac{r_e}{b-a}{\int }_a^b\left\{z\left(r\right)-z_c\left(r\right)\right\}{f}_i\left(r\right)dr$ (r represents a radial distance, z(r) represents a sag of the lens surface, z.sub.c(r) represents a conic term of the lens surface, f.sub.i(r) represents an i-th basis element, a and b represent surface area division positions, respectively, and r.sub.e represents an effective radius of the lens surface.)

14. A computer readable recording medium including a program executed by a processor to execute a design method of a composite lens surface to be applied to a lens surface of an optical imaging system, wherein the design method comprises the steps of: calculating basic design values of a lens surface using inputted basic data; and determining a basis including a basis element of which similarity (s) satisfies a predetermined condition as compared with the basic design values for a predetermined range on the lens surface, but determining coefficients of the basis so that sag heights of a lens surface by a curved surface function of a first area and a lens surface by a curved surface function of a second area are the same or slopes are the same as each other on a boundary of the first area and the second area adjacent to each other.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0027] The above and other aspects, features and other advantages of the present invention will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings, in which:

[0028] FIG. 1A is a configuration diagram of an optical system according to a first embodiment of the present disclosure;

[0029] FIG. 1B is an optical path diagram of the optical system according to the first embodiment of the present disclosure;

[0030] FIG. 2 is a diagram illustrating area division of a lens surface as an example;

[0031] FIG. 3 is a diagram illustrating aspherical curves corresponding to first to third areas of FIG. 2, respectively;

[0032] FIGS. 4A and 4B are a configuration diagram and an optical path diagram of an optical system according to comparative example;

[0033] FIGS. 5A and 5B are a compared graph illustrating aberration curves of the optical system according to the first embodiment of the present disclosure and the optical system according to comparative example;

[0034] FIGS. 6A, 6B, 7A, 7B, 8A and 8B are diagrams of comparing MTF curves at various spatial frequencies in the optical system according to the first embodiment of the present disclosure and the optical system according to comparative example;

[0035] FIGS. 9A and 9B are a configuration diagram and a graph illustrating aberration curves of an optical system according to a second embodiment of the present disclosure, respectively;

[0036] FIGS. 10A and 10B are a configuration diagram and a graph illustrating aberration curves of an optical system according to a third embodiment of the present disclosure, respectively;

[0037] FIG. 10C is a diagram illustrating division positions of each lens surface in the optical system according to the third embodiment of the present disclosure;

[0038] FIGS. 11A and 11B are a configuration diagram and a graph illustrating aberration curves of an optical system according to a fourth embodiment of the present disclosure, respectively;

[0039] FIGS. 12A and 12B are a configuration diagram and a graph illustrating aberration curves of an optical system according to a fifth embodiment of the present disclosure, respectively;

[0040] FIGS. 13A and 13B are a configuration diagram and a graph illustrating aberration curves of an optical system according to a sixth embodiment of the present disclosure, respectively;

[0041] FIGS. 14A and 14B are a configuration diagram and a graph illustrating aberration curves of an optical system according to a seventh embodiment of the present disclosure, respectively;

[0042] FIGS. 15A and 15B are a configuration diagram and a graph illustrating aberration curves of an optical system according to an eighth embodiment of the present disclosure, respectively;

[0043] FIG. 16 is a flowchart illustrating a method of designing an optical system according to an embodiment of the present disclosure; and

[0044] FIG. 17 is a block diagram illustrating a configuration of a computing device for implementing the method of designing the optical system according to an embodiment of the present disclosure.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT

[0045] First, in the accompanying drawings of this specification, there are parts indicated with actually different dimensions or ratios, but this is for convenience of description and understanding, and thus, it should be noted in advance that the scope of the present disclosure should not be limitedly interpreted. Further, in this specification, when an element is connected, coupled, or electrically connected to the other element, the element is not only directly connected, coupled, or electrically connected to the other element, but also indirectly connected, coupled, or electrically connected to the other element with other elements interposed therebetween. Also, when an element is directly connected or coupled to the other element, it is meant that the element is connected or coupled to the other element without other elements therebetween. In addition, when a certain part includes a certain element, unless otherwise indicated, it means that other elements may be further included rather than excluding other elements. In addition, in this specification, since expressions such as front, rear, left, right, upper, and lower are relative concepts that may vary depending on viewing positions, the scope of the present disclosure is not necessarily limited to the corresponding expressions.

[0046] Hereinafter, preferred embodiments of the present disclosure will be described with reference to the drawings. Further, for convenience of description, a configuration, a design method, a design device, and the like of an optical system according to an embodiment of the present disclosure will be described in sequence.

[0047] 1. Optical Imaging System Including Composite Lens Surface

First Embodiment

[0048] FIGS. 1A and 1B are a configuration diagram and an optical path diagram of the optical imaging system according to a first embodiment of the present disclosure.

[0049] As illustrated in FIG. 1, the optical imaging system according to the first embodiment of the present disclosure includes a first lens L1 and a second lens L2 which are disposed sequentially from an object side to an image side.

[0050] The first lens L1 has refractive power and may have both aspherical surfaces of which an object side surface is convex and an image side surface is concave.

[0051] The second lens L2 has refractive power and may have both aspherical surfaces of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0052] Particularly, in the first embodiment of the present disclosure, it is characterized that both surfaces of the first lens L1 and the object side surface of the second lens L2 are formed in single aspherical surfaces, respectively, but the image side surface of the second lens L2 is formed by composing a plurality of different curved surfaces (aspherical surfaces or spherical surfaces).

[0053] Referring to FIGS. 2 and 3, in the first embodiment of the present disclosure, an image side surface L2S2 of the second lens L2 is divided into a first area a.sub.1 with a predetermined radius based on an optical axis, a second annular area a.sub.2 surrounding the first area a.sub.1, and a third annular area a.sub.3 surrounding the second area a.sub.2, and different aspherical surfaces are formed in the respective areas a.sub.1, a.sub.2, and a.sub.3.

[0054] That is, the lens surface L2S2 illustrated in FIG. 2 is not a curved surface represented by a single aspherical function, and the curved surface of the first area a.sub.1 is formed by taking only a portion corresponding to the area a.sub.1 in the aspherical surface of graph (a) illustrated in FIG. 3, the curved surface of the second area a.sub.2 is formed by taking only a portion corresponding to the area a.sub.2 in the aspherical surface of graph (b) illustrated in FIG. 3, and the curved surface of the third area a.sub.3 is formed by taking only a portion corresponding to the area a.sub.3 in the aspherical surface of graph (c) illustrated in FIG. 3.

[0055] Meanwhile, as illustrated in the optical path diagram of FIG. 1B, light passing through the composite lens surface L2S2 of the second lens L2 is imaged on an image sensor surface even if the light passes through the curved surface of any area a.sub.1, a.sub.2, and a.sub.3. Accordingly, according to the embodiment of the present disclosure, it is possible to acquire a clear image unlike a conventional multifocal lens or multiple curvature lens.

[0056] Further, in FIGS. 1A and 1B, only an effective radius portion at which the second lens L2 contributes to optical characteristics has been expressed, and the specific shape of an edge needs to be determined later in consideration of assembling and the like.

[0057] In the first embodiment of the present disclosure, the aspherical surface of each lens surface may be implemented by using a x.sup.n aspherical (powered series) basis such as the following Equation 1.

[00001]$\begin{array}{cc}Z\left(r\right)=\frac{\frac{r^2}{R}}{1+\sqrt{1-\left(1+k\right)\frac{r^2}{R^2}}}+{\mathrm{Ar}}^4+{\mathrm{Br}}^6+{\mathrm{Cr}}^8+{\mathrm{Dr}}^{10}& <\mathrm{Equation}1>\end{array}$

[0058] Wherein, Z(r) represents a lens surface sag in a z-axial direction, r represents a radial distance in a direction vertical to a z axis, R represents a radius of curvature, k represents a conic constant, and A, B, C, D, . . . represent aspherical coefficients.

[0059] Through the Equation 1 above (hereinafter, referred to as an ‘x.sup.n aspherical function’ for convenience in this specification), it can be seen that the aspherical shape varies when the aspherical coefficients A, B, C, D, vary.

[0060] According to the first embodiment of the present disclosure, the both surfaces of the first lens L1 and the object side surface of the second lens L2 are single aspherical surfaces expressed by one aspherical equation, respectively.

[0061] Therefore, the entire shape of each lens surface may be implemented by substituting a suitable aspherical coefficient, a radius of curvature, and a conic constant for the x.sup.n aspherical function, respectively.

[0062] On the other hand, the image side surface L2S2 of the second lens L2 is divided into the first to third areas a.sub.1, a.sub.2, and a.sub.3, and since a composite lens surface needs to be formed by implementing a curved surface having a different shape for each area, a different aspherical equation for each of the areas a.sub.1, a.sub.2, and a.sub.3 needs to be applied.

[0063] If the x.sup.n function is used as the aspherical basis, as shown in the following Equation 2, a plurality of aspherical surfaces calculated by applying a separate coefficient set for each of the areas a.sub.1, a.sub.2, and a.sub.3 are composed to implement a composite lens surface.

[00002]$\begin{array}{cc}Z\left(r\right)=\frac{\frac{r^2}{R_1}}{1+\sqrt{1-\left(1+k\right)\frac{r^2}{R_1^2}}}+A_1{r}^4+B_1{r}^6+C_1{r}^8+D_1{r}^{10}...\left(.Math.r.Math.\le r_1\right)Z\left(r\right)=\frac{\frac{r^2}{R_2}}{1+\sqrt{1-\left(1+k_2\right)\frac{r^2}{R_2^2}}}+A_2{r}^4+B_2{r}^6+C_2{r}^8+D_2{r}^{10}...\left(r_1\le .Math.r.Math.\le r_2\right)...Z\left(r\right)=\frac{\frac{r^2}{R_i}}{1+\sqrt{1-\left(1+k_i\right)\frac{r^2}{R_i^2}}}+A_i{r}^4+B_i{r}^6+C_i{r}^8+D_i{r}^{10}...\left(r_{i-1}\le .Math.r.Math.\le r_i\right)...Z\left(r\right)=\frac{\frac{r^2}{R_n}}{1+\sqrt{1-\left(1+k_n\right)\frac{r^2}{R_n^2}}}+A_n{r}^4+B_n{r}^6+C_n{r}^8+D_n{r}^{10}...\left(r_{n-1}\le .Math.r.Math.\le r_e\right)& <\mathrm{Equation}2>\end{array}$

[0064] Wherein, r represents a radial distance, r.sub.e represents an effective radius of the lens, |r|≤r.sub.1 refers to a first area, r.sub.1≤|r|≤r.sub.2 refers to a second area, r.sub.i−1≤|r|≤r.sub.i refers to an i-th area, and r.sub.n−1≤|r|≤r.sub.e refers to an n-th area.

[0065] Through the Equation 2 above, it can be seen that the aspherical shape of the first area a.sub.1 is determined by a first coefficient set (R.sub.1, k.sub.1, A.sub.1, B.sub.1, C.sub.1, D.sub.1, . . . ), the aspherical shape of the second area a.sub.2 is determined by a second coefficient set (R.sub.2, k.sub.2, A.sub.2, B.sub.2, C.sub.2, D.sub.2, . . . ), and the aspherical shape of the i-th area a.sub.i is determined by an i-th coefficient set (R.sub.i, k.sub.i, A.sub.i, B.sub.i, C.sub.i, D.sub.i, . . . ).

[0066] As such, when a different aspherical surface corresponding to each area a.sub.i, a.sub.2, a.sub.i, . . . , a.sub.n is calculated by applying a different coefficient set to each area a.sub.i, a.sub.2, a.sub.i, . . . , a.sub.n, it is preferred to prevent a sag height difference in a boundary of each area in consideration of the optical characteristics and a mass-production property.

[0067] To this end, it is required to select an equation and/or coefficient set in which Z(r) values of adjacent areas are matched or differential values (slopes) thereof are matched on the boundary.

[0068] Meanwhile, Equation 2 above is applied when a reference position of the radial distance r is an optical axis, that is, the first to n-th areas a.sub.i, a.sub.2, . . . , a.sub.n are rotationally symmetric based on the optical axis.

[0069] However, when the lens surface is divided into a plurality of areas, each area needs not to be centered on the optical axis. Accordingly, a sag Z(r) of the lens surface of each area a.sub.1, a.sub.2, . . . , a.sub.n may be defined as the following Equation 3 by setting reference positions of the radial distance r expressing the divided first to n-th areas a.sub.1, a.sub.2, . . . , a.sub.n to d.sub.1, d.sub.2, . . . , d.sub.n, respectively.

[00003]$\begin{array}{cc}Z\left(r\right)=\frac{\frac{{\left(r-d_1\right)}^2}{R_1}}{1+\sqrt{1-\left(1+k_1\right)\frac{{\left(r-d_1\right)}^2}{R_1^2}}}+{A_1\left(r-d_1\right)}^4+{B_1\left(r-d_1\right)}^6+{C_1\left(r-d_1\right)}^8...\left(.Math.r.Math.\le r_1\right)Z\left(r\right)=\frac{\frac{{\left(r-d_2\right)}^2}{R_2}}{1+\sqrt{1-\left(1+k_2\right)\frac{{\left(r-d_2\right)}^2}{R_2^2}}}+{A_2\left(r-d_2\right)}^4+{B_2\left(r-d_2\right)}^6+{C_2\left(r-d_2\right)}^8...\left(r_1\le .Math.r.Math.\le r_2\right)...Z\left(r\right)=\frac{\frac{{\left(r-d_i\right)}^2}{R_i}}{1+\sqrt{1-\left(1+k_i\right)\frac{{\left(r-d_i\right)}^2}{R_i^2}}}+{A_i\left(r-d_i\right)}^4+{B_i\left(r-d_i\right)}^6+{C_i\left(r-d_i\right)}^8...\left(r_{i-1}\le .Math.r.Math.\le r_i\right)...Z\left(r\right)=\frac{\frac{{\left(r-d_n\right)}^2}{R_n}}{1+\sqrt{1-\left(1+k_n\right)\frac{{\left(r-d_n\right)}^2}{R_n^2}}}+{A_n\left(r-d_n\right)}^4+{B_n\left(r-d_n\right)}^6+{C_n\left(r-d_n\right)}^8...\left(r_{n-1}\le .Math.r.Math.\le r_c\right)& <\mathrm{Equation}3>\end{array}$

[0070] Meanwhile, recently, since cases of using different types of aspherical basis functions instead of the x.sup.n aspherical function tend to be increased, various types of aspherical basis functions may be used to express a complicated aspherical shape and improve the efficiency of the design.

[0071] For example, a single aspherical surface or a composite lens surface may also be implemented by using aspherical basis functions such as a Q.sub.con aspherical function, a Q.sub.bsf aspherical function, a Zernike function, and the like.

[0072] The Q.sub.con aspherical function is a function defined so that an aspherical rms sag error is minimized based on a conic term, and is expressed by the following Equation 4.

[00004]$\begin{array}{cc}{Z}_{\mathrm{con}}\left(r\right)=\frac{{\mathrm{cr}}^2}{1+\sqrt{1-\left(1+k\right)c^2{r}^2}}+D_{\mathrm{con}}\left(u\right)D_{\mathrm{con}}\left(u\right)=u^4\underset{m=0}{\overset{M}{.Math.}}{a}_m{Q}_m^{\mathrm{con}}\left(u^2\right)& <\mathrm{Equation}4>\end{array}$

[0073] Wherein, u=r/r.sub.max, r.sub.max represents a maximum radius, a.sub.m represents a Q.sub.con aspherical coefficient, and Q.sub.m.sup.con(u.sup.2) s represent independent terms corresponding to m.

[0074] Further, the Q.sub.bsf aspherical function is expressed by the following Equation 5.

[00005]$\begin{array}{cc}{Z}_{\mathrm{bfs}}\left(r\right)=\frac{c_{\mathrm{bfs}}{r}^2}{1+\sqrt{1-c_{\mathrm{bfs}}^2{r}^2}}+D_{\mathrm{bfs}}\left(u\right)D_{\mathrm{bfs}}\left(u\right)=\frac{u^2\left(1-u^2\right)}{\sqrt{1-c_{\mathrm{bfs}}^2{r}_{\max }^2{u}^2}}\underset{m=0}{\overset{M}{.Math.}}{a}_m{Q}_m^{\mathrm{bfs}}\left(u^2\right)& <\mathrm{Equation}5>\end{array}$

[0075] Wherein, u=r/r.sub.max, r.sub.max represents a maximum radius, c.sub.bfs represents a curvature corresponding to a best fitting sphere, a.sub.m represents a aspherical coefficient, and Q.sub.m.sup.bfs (u.sup.2)s represent independent terms corresponding to m.

[0076] The detailed design specification of the optical imaging system according to the first embodiment of the present disclosure is shown in the Table 1 below, and the aspherical coefficients applied to each lens surface are shown in the Table 2.

TABLE-US-00001 TABLE 1 Design specification according to first embodiment of the present disclosure Surface Surface Sphere/ Radius of Thickness/ Refractive Abbe No. Component Name Asphere curvature (mm) distance (mm) Index (Nd) Number (Vd) 1 (Stop) 1st lens L1 S1 Asphere 0.8429 0.5775 1.535 55.71 2 L1 S2 Asphere 1.429 0.7368 3 2nd lens L2 S1 Asphere 6.348 0.7999 1.64 23.52 4 L2 S2-1 Asphere 4.194 — 5 L2 S2-2 Asphere 4.2 — 6 L2 S2-3 Asphere 4.009E−08 0.05046 8 Filter Sphere Infinity 0.11 1.517 64.17 9 Sphere Infinity 0.69 10 Image sensor Sphere Infinity

TABLE-US-00002 TABLE 2 Aspherical coefficients of first embodiment of the present disclosure Surface name L1 S1 L1 S2 L2 S1 L2 S2-1 L2 S2-2 L2 S2-3 Surface No. 1 2 3 4 5 6 R 8.429E−01 1.429E+00 6.348E+00 4.194E+00 4.200E+00 4.009E−08 K −5.899E−01 5.346E+00 −4.895E−03 −1.002E+00 −2.677E+01 −8.091E+01 A 1.164E−01 −1.560E−01 −1.995E−01 −1.550E−01 −1.381E−01 2.282E+00 B 8.035E−01 4.808E+00 −7.131E−01 1.415E−02 3.695E−02 −5.084E+00 C −3.270E+00 −3.652E+01 2.766E+00 −1.307E+00 −2.112E−02 4.580E+00 D 9.908E+00 1.372E+02 −4.694E+00 4.891E+00 8.507E−04 −1.967E+00 E −9.627E+00 −1.873E+02 2.786E+00 −9.805E+00 −1.154E−05 3.298E−01

[0077] In the optical imaging system according to the first embodiment of the present disclosure, a total length (TTL) is 2.96 mm, an effective focal length (EFL) is 2.82 mm, F-No is 2.7, and a diagonal length of an image sensor is 3.2 mm.

[0078] Further, an effective radius (r.sub.e) of the image side surface L2S2 of the second lens L2 divided into the three areas is 1.262 mm and area divided positions are r.sub.1=0.339 mm and r.sub.2=1.000 mm.

[0079] Through the Tables 1 and 2 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E) applied to three areas L2S2-1, L2S2-2, and L2S2-3 divided on the image side surface L2S2 of the second lens L2 are different from each other, and as a result, it can be seen that each area is formed of each different aspherical surface.

[0080] Hereinafter, the characteristics of the optical system according to the first embodiment of the present disclosure will be described as compared with those of comparative example.

[0081] First, a configuration diagram and an optical path diagram of the optical system according to comparative example are as illustrated in FIGS. 4A and 4B.

[0082] Further, the following Table 3 illustrates a design specification of comparative example and the Table 4 illustrates aspherical coefficients applied to each lens surface of the first and second lenses L1 and L2 used in comparative example.

TABLE-US-00003 TABLE 3 Design specification of optical system according to comparative example Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd) 1 (Stop) 1st lens L1 S1 Asphere 0.8431 0.5729 1.535 55.71 2 L1 S2 Asphere 1.435  0.7141 3 2nd lens L2 S1 Asphere 7.126  0.8   1.64  23.52 4 L2 S2 Asphere 4.695  0.05  5 Filter Sphere Infinity 0.11  1.517 64.17 6 Sphere Infinity 0.7253 7 Image Sphere Infinity sensor

TABLE-US-00004 TABLE 4 Aspherical coefficients of optical system according to comparative example Surface name L1 S1 L1 S2 L2 S1 L2 S2 Surface No. 1 2 3 4 R 8.431E−01 1.435E+00 7.126E+00 4.695E+00 K −5.981E−01  5.496E+00 1.856E−01 −1.001E+00  A 1.170E−01 −1.679E−01  −1.823E−01  −1.532E−01  B 8.084E−01 4.959E+00 −7.607E−01  −2.385E−02  C −3.246E+00  −3.797E+01  2.967E+00 1.054E−01 D 9.783E+00 1.431E+02 −5.111E+00  −9.279E−02  E −9.618E+00  −1.975E+02  3.096E+00 2.421E−02

[0083] In the optical system according to comparative example, a total length (TTL) is 2.97 mm, an effective focal length (EFL) is 2.82 mm, F-No is 2.7, and a diagonal length of an image sensor is 3.2 mm.

[0084] The TTL of the optical system according to the first embodiment of the present disclosure is 2.96 mm, the TTL of comparative example is 2.97 mm, and the diagonal lengths of the image sensor are the same as each other as 3.2 mm. Further, in the first embodiment and comparative example, the thicknesses and the distance of the first lens L1 and the second lens L2 are extremely similar to each other.

[0085] However, there is a difference in the image side surface L2S2 of the second lens L2. That is, the image side surface L2S2 is a composite surface composed of the three aspherical surfaces in the first embodiment of the present disclosure and a single aspherical surface in the comparative example.

[0086] First, referring to the graph illustrating aberration curves of FIGS. 5A and 5B, it can be seen that a spherical aberration, an astigmatic aberration, and a distortion aberration all are within a conventional allowable range.

[0087] Next, when describing a through focus modulation transfer function (MTF) property for each field, as can be seen through FIGS. 6A to 8B, it can be confirmed that the optical system according to the first embodiment of the present disclosure shows a much more uniform characteristic than the comparative example applied with the single aspherical surface.

[0088] Through such a characteristic, it can be seen that the optical system according to the first embodiment of the present disclosure may acquire a more uniform and clearer image from the center to the peripheral area of the image sensor.

[0089] Further, referring to FIGS. 6A to 8B, the optical system according to the first embodiment of the present disclosure exhibits a more uniform characteristic even when a spatial frequency is increased. Through this, it can be seen that the optical system according to the present disclosure is more suitable to exhibit the high-resolution performance for a high-pixel image sensor.

[0090] Meanwhile, it is impossible to exactly express the whole composite lens surface applied to the first embodiment of the present disclosure with one aspherical basis function set, but it is possible to mathematically fit the composite curved surface. However, according to a simulation result, it was confirmed that the aspherical surface fitted by the mathematical method as such is difficult to be applied to actual products because the optical performance such as MTF and the like is deteriorated, and in some cases, the optical performance is significantly lowered.

[0091] Hereinabove, the case of applying the composite lens surface to the optical system consisting of two pieces of lenses has been described. However, since the embodiment of the present disclosure is not limited thereto, as shown in the following various embodiments, the aforementioned composite lens surface may be applied even to an optical system including more pieces of lenses.

Second Embodiment

[0092] FIGS. 9A and 9B are a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to a second embodiment of the present disclosure.

[0093] As illustrated in FIG. 2, the optical imaging system according to the second embodiment of the present disclosure includes a first lens L1, a second lens L2, and a third lens L3 which are disposed sequentially from an object side to an image side.

[0094] The first lens L1 has refractive power and may be a lens of which both surfaces are convex.

[0095] The second lens L2 has refractive power and may be a lens of which an object side surface is concave and an image side surface is convex.

[0096] The third lens L3 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0097] All lens surfaces of the first to third lenses L1, L2, and L3 may also be aspherical surfaces, and at least one lens surface may also be a spherical surface.

[0098] However, in the optical imaging system according to the second embodiment of the present disclosure, an image side surface L3S2 of the third lens L3 is formed of a composite lens surface divided into three areas L3S2-1, L3S2-2, and L3S2-3.

[0099] A detailed design specification of the optical imaging system according to the second embodiment of the present disclosure is shown in the Table 5 below, and the aspherical coefficients applied to each lens surface are shown in the Table 6.

TABLE-US-00005 TABLE 5 Design specification according to second embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 Stop Sphere Infinity 0.1184  2 1st lens L1 S1 Asphere 2.557 0.7178 1.547 60.33  3 L1 S2 Asphere −1.131 0.3718  4 2nd lens L2 S1 Asphere −0.3923 0.1953 1.68  19.24  5 L2 S2 Asphere −0.6444 0.1    6 3rd lens L3 S1 Asphere 0.9072 0.7358 1.547 60.33  7 L3 S2-1 Asphere 1.212 —  8 L3 S2-2 Asphere 1.052 —  9 L3 S2-3 Asphere 1.371 0.22  11 Filter Sphere Infinity 0.21  1.517 64.17 12 Sphere Infinity 0.3700 13 Image Sphere Infinity sensor

TABLE-US-00006 TABLE 6 Aspherical coefficients of second embodiment of the present disclosure Surface name Surface L1 S1 S2 L2 S1 S2 L3 S1 L3 S2-1 L3 S2-2 L3 S2-3 No. 2 3 4 5 6 7 8 9 R  2.557E+00 −1.131E+00 −3.923E−01 −6.444E−01  9.072E−01  2.121E+00  1.052E+00  1.371E+00 k  1.043E+01  1.059E+00 −8.040E−01 −4.915E−01 −3.396E+00 −9.225E+00 −1.130E+01 −1.164E+01 A −6.235E−01 −7.583E−02  3.254E+00  1.135E+00 −8.168E−01  3.157E−01  9.531E−02 −2.598E−01 B  1.339E+02 −1.975E+00 −1.847E+01 −5.405E+00  1.476E+00 −1.821E+00 −1.702E−01  2.946E+00 C −3.235E+03  2.266E+01  9.769E+01  2.502E+01 −2.802E+00  4.447E+00 −4.939E−01 −9.664E+00 D  4.051E+03  1.906E+03 −2.560E+02 −4.504E+01  4.614E+00 −5.742E+00  1.718E+00  1.511E+01 E −2.916E+04  1.056E+03  3.373E+02  3.674E+01 −6.124E+00  4.288E+00 −2.342E+00 −1.346E+01 F  1.195E+05 −3.410E+03 −1.787E+02 −1.028E+01  5.435E+00 −1.921E+00  1.761E+00  7.235E+00 G −2.590E+05  5.835E+03  0.000E+00  0.000E+00 −3.176E+00  5.096E−01 −7.629E−01 −2.330E+00 H  2.312E+05 −4.111E+03  0.000E+00  0.000E+00  1.606E+00 −7.390E−02  1.782E−01  4.149E−01 J  0.000E+00  0.000E+00  0.000E+00  0.000E+00 −6.736E−01  4.516E−03 −1.738E−02 −3.148E−02

[0100] In the optical imaging system of the second embodiment of the present disclosure, a total length (TTL) is 2.92 mm, an effective focal length (EFL) is 1.95 mm, F-No is 2.5, and a diagonal length of an image sensor is 3.63 mm.

[0101] Further, an effective radius (r.sub.e) of the image side surface L3S2 of the third lens L3 is 1.52 mm and positions divided into three areas are r.sub.1=0.5 mm, and r.sub.2=1.2 mm.

[0102] Through the Tables 5 and 6 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E, F, G, H, J) applied to the three areas L3S2-1, L3S2-2, and L3S2-3 divided on the image side surface L3S2 of the third lens L3 are different from each other, and as a result, it can be seen that each area is formed of each different aspherical surface.

Third Embodiment

[0103] In the first and second embodiments of the present disclosure, the composite lens surfaces were formed on the last lens surfaces, respectively, but the formation positions of the composite lens surfaces are not limited thereto, but the composite lens surfaces may be formed at various positions.

[0104] A third embodiment of the present disclosure relates to an optical system having composite lens surfaces formed on all lens surfaces, and FIGS. 10A and 10B illustrate a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to the third embodiment of the present disclosure.

[0105] Further, FIG. 10C illustrates area division positions of each lens surface in the optical imaging system according to the third embodiment of the present disclosure.

[0106] As illustrated in FIG. 10A, the optical imaging system according to the third embodiment of the present disclosure includes a first lens L1, a second lens L2, and a third lens L3 which are disposed sequentially from an object side to an image side.

[0107] The first lens L1 has refractive power and may be a lens of which both surfaces are convex.

[0108] The second lens L2 has refractive power and may be a lens of which an object side surface is concave and an image side surface is convex.

[0109] The third lens L3 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0110] In the third embodiment of the present disclosure, all lens surfaces of the first to third lenses L1, L2, and L3 consist of composite lens surfaces including spherical or aspherical surfaces.

[0111] The detailed design specification of the optical imaging system according to the third embodiment of the present disclosure is shown in the Table 7 below, and the aspherical coefficients applied to each lens surface are shown in the Table 8.

TABLE-US-00007 TABLE 7 Design specification according to third embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 Stop Sphere Infinity 0     2 1st lens L1 S1-1 Sphere 1.995 — 1.547 60.33  3 L1 S1-2 Asphere 2.036 0.9264  4 L1 S2-1 Sphere −1.243 —  5 L1 S2-2 Asphere −1.243 0.2673  6 2nd lens L2 S1-1 Asphere −0.389 — 1.68  19.24  7 L2 S1-2 Asphere −0.3874 0.21.07  8 L2 S2-1 Asphere −0.654 —  9 L2 S2-2 Asphere −0.6559 0.0980 10 3rd lens L3 S1-1 Asphere 0.9231 — 1.547 60.33 11 L3 S1-2 Asphere 1.024 0.7982 12 L3 S2-1 Asphere 1.317 0.21  13 L3 S2-2 Asphere 2.715 0.2459 15 Filter Sphere Infinity 0.11  1.517 64.17 16 Sphere Infinity 0.4111 17 Image Sphere Infinity sensor

TABLE-US-00008 TABLE 8 Aspherical coefficients of third embodiment of the present disclosure Surface name Surface L1 S1-1 L1 S1-2 L1 S2-1 L1 S2-2 L2 S1-1 L2 S1-2 No. 2 3 4 5 6 7 R 1.995E+00  2.036E+00 −1.243E+00 −1.243E+00 −3.890E−01 −3.874E−01 k 0.000E+00  7.884E+00  0.000E+00  8.194E−01 −7.931E−01 −8.045E−01 A 0.000E+00 −7.430E−01  0.000E+00  1.462E−01  2.784E+00  2.069E+00 B 0.000E+00  5.681E+01  0.000E+00 −5.554E+00  1.378E+01  1.097E+01 C 0.000E+00 −2.179E+03  0.000E+00  5.628E+01 −8.255E+02 −2.997E+02 D 0.000E+00  4.546E+04  0.000E+00 −3.906E+02  1.250E+04  2.836E+03 E 0.000E+00 −5.764E+05  0.000E+00  1.936E+03 −9.826E+04 −1.451E+04 F 0.000E+00  4.554E+06  0.000E+00 −6.430E+03  4.465E+05  4.456E+04 G 0.000E+00 −2.188E+07  0.000E+00  1.348E+04 −1.174E+06 −8.241E+04 H 0.000E+00  5.848E+07  0.000E+00 −1.603E+04  1.658E+06  8.480E+04 J 0.000E+00 −6.664E+07  0.000E+00  8.182E+03 −9.719E+05 −3.736E+04 Surface name Surface L2 S2-1 L2 S2-2 L3 S1-1 L3 S1-2 L3 S2-1 L3 S2-2 No. 8 9 10 11 12 13 R −6.540E−01 −6.559E−01  9.231E−01  1.024E+00  1.317E+00  2.715E+00 k −4.417E−01 −4.147E−01 −1.954E+00 −1.781E+00 −8.812E+00  8.997E+00 A  1.257E+00  7.292E−01 −7.673E−01 −1.030E−01  2.415E−01  2.665E−01 B −6.861E+00 −5.419E−01 −1.571E+00 −6.610E+00 −1.318E+00 −4.176E−01 C −4.039E+00 −1.689E+01  2.053E+01  3.916E+01  3.037E+00 −1.593E−01 D  3.943E+02  1.586E+02 −9.985E+01 −1.269E+02 −4.132E+00  9.243E−01 E −2.616E+03 −5.401E+02  2.858E+02  2.568E+02  3.368E+00 −1.048E+00 F  8.620E+03  9.034E+02 −4.941E+02 −3.310E+02 −1.652E+00  6.068E−01 G −1.579E+04 −6.751E+02  5.025E+02  2.621E+02  4.771E−01 −1.981E−01 H  1.530E+04  3.834E+01 −2.761E+02  1.153E+02 −7.482E−02  3.405E−02 J −6.112E+03  1.558E+02  6.319E+01  2.125E+01  4.915E−03 −2.436E−03

[0112] In the optical imaging system according to the third embodiment of the present disclosure, a total length (TTL) is 3.07 mm, an effective focal length (EFL) is 1.98 mm, F-No is 2.5, and a diagonal length of an image sensor is 3.63 mm.

[0113] An effective radius (r.sub.e) of an object side surface L1S1 of the first lens L1 is 0.418 mm and the object side surface L1S1 is divided into a first area L1S1-1 and a second area L1S1-2 based on r.sub.1=0.15 mm. Further, the first area L1S1-1 is a spherical surface and the second area L1S1-2 is an aspherical surface, and accordingly, the object side surface L1S1 of the first lens L1 is formed of a composite lens surface including spherical and aspherical surfaces.

[0114] An effective radius (r.sub.e) of an image side surface L1S2 of the first lens L1 is 0.570 mm and the image side surface L1S2 is divided into a first area L1S2-1 and a second area L1S2-2 based on r.sub.1=0.15 mm. Further, the first area L1S2-1 is a spherical surface and the second area L1S2-2 is an aspherical surface, and accordingly, the image side surface L1S2 of the first lens L1 is formed of a composite lens surface including spherical and aspherical surfaces.

[0115] An effective radius (r.sub.e) of an object side surface L2S1 of the second lens L2 is 0.609 mm and the object side surface L2S1 is divided into a first area L2S1-1 and a second area L2S1-2 based on r.sub.1=0.3 mm. Further, the first area L2S1-1 and the second area L2S1-2 are aspherical surfaces having different shapes from each other, and accordingly, the object side surface L2S1 of the second lens L2 is formed of a composite lens surface including different aspherical surfaces.

[0116] An effective radius (r.sub.e) of an image side surface L2S2 of the second lens L2 is 0.715 mm and the image side surface L2S2 is divided into a first area L2S2-1 and a second area L2S2-2 based on r.sub.1=0.35 mm. Further, the first area L2S2-1 and the second area L2S2-2 are aspherical surfaces having different shapes from each other, and accordingly, the image side surface L2S2 of the second lens L2 is formed of a composite lens surface including different aspherical surfaces.

[0117] An effective radius (r.sub.e) of an object side surface L3S1 of the third lens L3 is 0.936 mm and the object side surface L3S1 is divided into a first area L3S1-1 and a second area L3S1-2 based on r.sub.1=0.4 mm. Further, the first area L3S1-1 and the second area L3S1-2 are aspherical surfaces having different shapes from each other, and accordingly, the object side surface L3S1 of the third lens L3 is formed of a composite lens surface including different aspherical surfaces.

[0118] An effective radius (r.sub.e) of an image side surface L3S2 of the third lens L3 is 1.571 mm and the image side surface L3S2 is divided into a first area L3S2-1 and a second area L3S2-2 based on r.sub.1=0.7 mm. Further, the first area L3S2-1 and the second area L3S2-2 are aspherical surfaces having different shapes from each other, and accordingly, the image side surface L3S2 of the third lens L3 is formed of a composite lens surface including different aspherical surfaces.

[0119] Through the Tables 7 and 8 above, it can be confirmed that all coefficients sets (R, k, A, B, C, D, E, F, G, H, J) applied to the divided areas L1S1-1, L1S1-2, L1S2-1, L1S2-2, L2S1-1, L2S1-2, L2S2-1, L2S2-2, L3S1-1, L3S1-2, L3S2-1, and L3S2-2 of all the lens surfaces of the first to third lenses L1, L2, and L3 are different from each other, and as a result, it can be seen that each area is formed of each different spherical or aspherical surface.

Fourth Embodiment

[0120] FIGS. 11A and 11B are a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to a fourth embodiment of the present disclosure.

[0121] As illustrated in FIG. 11A, the optical imaging system according to the fourth embodiment of the present disclosure includes a first lens L1, a second lens L2, a third lens L3, and a fourth lens L4 which are disposed sequentially from an object side to an image side.

[0122] The first lens L1 has refractive power and may be a lens of which both surfaces are convex.

[0123] The second lens L2 has refractive power and may be a lens of which both surfaces are concave in a paraxial region.

[0124] The third lens L3 has refractive power and may be a lens of which an object side surface is concave and an image side surface is convex.

[0125] The fourth lens L4 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0126] All lens surfaces of the first to fourth lenses L1, L2, L3, and L4 may also be aspherical surfaces, and at least one lens surface may also be a spherical surface.

[0127] However, in the optical imaging system according to the fourth embodiment of the present disclosure, an image side surface L4S2 of the fourth lens L4 is formed of a composite lens surface divided into three areas L4S2-1, L4S2-2, and L4S2-3.

[0128] The detailed design specification of the optical imaging system according to the fourth embodiment of the present disclosure is shown in the Table 9 below, and the aspherical coefficients applied to each lens surface are shown in the Table 10.

TABLE-US-00009 TABLE 9 Design specification according to fourth embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 Stop Sphere Infinity 0     2 1st lens L1 S1 Asphere 1.612 0.7014 1.537 55.71  3 L1 S2 Asphere −14.44 0.1866  4 2nd lens L2 S1 Asphere −5.745 0.3137 1.641 23.85  5 L2 S2 Asphere 8.985 0.2115  6 3rd lens L3 S1 Asphere −2.036 0.6431 1.537 55.71  7 L3 S2 Asphere −0.7192 0.0501  8 4th lens L4 S1 Asphere 1.853 0.4752 1.537 55.71  9 L4 S2-1 Asphere 0.6441 — 10 L4 S2-2 Asphere 0.6011 — 11 L4 S2-3 Asphere −17.21 0.3685 13 Filter Sphere Infinity 0.11  1.517 64.17 14 Sphere Infinity 0.64  15 Image Sphere Infinity sensor

TABLE-US-00010 TABLE 10 Aspherical coefficients of fourth embodiment of the present disclosure Surface name Surface L1 S1 L1 S2 L2 S1 L2 S2 L3 S1 No. 2 3 4 5 6 R  1.612E+00 −1.444E+01 −5.745E+00  8.985E+00 −2.063E+00 k  2.883E+00  7.991E+01  2.571E+01 −4.383E+01  3.506E+00 A −9.473E−02 −3.171E−01 −4.932E−01 −1.111E−01  3.309E−01 B −1.056E+00  1.647E−01 −4.024E−01 −1.912E−02 −1.763E−02 C  1.661E+01 −5.645E+00  1.877E+00 −4.712E−01 −5.009E−01 D −1.697E+02  5.188E+01 −1.070E+01  2.774E+00  8.714E−01 E  1.019E+03 −2.731E+02  4.261E+01 −7.439E+00  6.448E−01 F −3.714E+03  8.483E+02 −7.472E+01  1.271E+01  2.420E−01 G  8.026E+03 −1.531E+03  4.238E+01 −1.344E+01 −4.869E−02 H −9.456E+03  1.484E+03  2.935E+01  7.608E+00  5.031E−03 J  4.670E+03 −5.954E+02 −3.337E+01 −1.711E+00 −2.102E−04 Surface name Surface L3 S2 L4 S1 L4 S2-1 L4 S2-2 L4 S2-3 No. 7 8 9 10 11 R −7.192E−01  1.853E+00  6.441E−01  6.011E−01 −1.721E+01 k −1.711E+00 −2.851E+01 −4.683E+00 −5.383E+00  5.784E+01 A  1.682E−01 −7.801E−02 −1.084E−01 −9.437E−02 −6.667E−02 B −2.598E−01 −3.978E−02 −7.909E−01  2.866E−02 −1.525E−03 C  2.718E−01  4.211E−02  9.875E+00 −5.386E−03  2.907E−02 D −8.645E−02 −1.260E−02 −8.251E+01 −7.473E−04  7.645E−05 E  1.396E−03  1.984E−03  5.119E+02  2.499E−04 −7.907E−03 F −1.307E−03  1.837E−04 −2.202E+03  2.832E−05  1.308E−03 G  7.209E−05  1.003E−05  6.088E+03  2.351E−06  7.002E−04 H −2.178E−06 −2.987E−07 −9.671E+03 −1.848E−06 −2.490E−04 J  2.774E−08  3.741E−09  6.685E+03 −5.494E−07  2.259E−05

[0129] In the optical imaging system according to the fourth embodiment of the present disclosure, a total length (TTL) is 3.70 mm, an effective focal length (EFL) is 2.62 mm, F-No is 2.0, and a diagonal length of an image sensor is 4.57 mm.

[0130] Further, an effective radius (r.sub.e) of an image side surface L4S2 of the fourth lens L4 is 1.925 mm and positions divided into three areas are r.sub.1=0.501 mm and r.sub.2=1.550 mm.

[0131] Through the Tables 9 and 10 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E, F, G, H, J) applied to the three areas L4S2-1, L4S2-2, and L4S2-3 divided on the image side surface L4S2 of the fourth lens L4 are different from each other, and as a result, it can be seen that each area is formed of each different aspherical surface.

Fifth Embodiment

[0132] FIGS. 12A and 12B are a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to a fifth embodiment of the present disclosure.

[0133] As illustrated in FIG. 12A, the optical imaging system according to the fifth embodiment of the present disclosure includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, and a fifth lens L5 which are disposed sequentially from an object side to an image side.

[0134] The first lens L1 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0135] The second lens L2 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0136] The third lens L3 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region. In addition, the object side surface or the image side surface of the third lens L3 may be a plane or have large curvature close to a plane.

[0137] The fourth lens L4 has refractive power and may be a lens of which an object side surface is concave and an image side surface is convex.

[0138] The fifth lens L5 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region. In addition, the object side surface or the image side surface of the fifth lens L5 may include at least one inflection point.

[0139] All lens surfaces of the first to fifth lenses L1, L2, L3, L4, and L5 may also be aspherical surfaces, and at least one lens surface may also be a spherical surface.

[0140] However, in the optical imaging system according to the fifth embodiment of the present disclosure, an image side surface L5S2 of the fifth lens L5 is formed of a composite lens surface divided into five areas L5S2-1, L5S2-2, L5S2-3, L5S2-4, and L5S2-5.

[0141] The detailed design specification of the optical imaging system according to the fifth embodiment of the present disclosure is shown in the Table 11 below, and the aspherical coefficients applied to each lens surface are shown in the Table 12.

TABLE-US-00011 TABLE 11 Design specification according to fifth embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 1st lens L1 S1 Asphere 1.885 0.7673 1.535 55.71  2 L1 S2 Asphere 7.134 0.1038 3 (Stop) 2nd lens L2 S1 Asphere 13.3 0.2001 1.671 19.23  4 L2 S2 Asphere 4.726 0.5126  5 3rd lens L3 S1 Asphere 64.28 0.2512 1.614 25.92  6 L3 S2 Asphere 56.16 0.8226  7 4th lens L4 S1 Asphere −21.83 0.7719 1.535 55.71  8 L4 S2 Asphere −2.4 1.005   9 5th lens L5 S1 Asphere 3.484 0.3   1.535 55.71 10 L5 S2-1 Asphere 1.273 — 11 L5 S2-2 Asphere 1.294 — 12 L5 S2-3 Asphere −9.028 — 13 L5 S2-4 Asphere −7.899 — 14 L5 S2-5 Asphere −6.754 0.2951 16 Filter Sphere Infinity 0.11  1.517 64.17 17 Sphere Infinity 0.6900 18 Image Sphere Infinity sensor

TABLE-US-00012 TABLE 12 Aspherical coefficients of fifth embodiment of the present disclosure Surface name Surface L1 S1 L1 S2 L2 S1 L2 S2 L3 S1 L3 S2 L4 S1 No. 1 2 3 4 5 6 7 R  1.885E+00  7.134E+00  1.330E+01  4.726E+00  6.428E+01  5.616E+01 −2.183E+01 k  5.812E−01  1.984E+01  9.795E+01  1.449E+01 −5.249E+01  9.900E+01  2.794E+01 A −8.027E−03  3.975E−02 −5.845E−02 −3.685E−02 −9.819E−02 −7.278E−02  1.564E−03 B −9.114E−04  3.173E−02  9.254E−02  7.245E−02 −3.094E−02 −6.947E−02 −1.393E−02 C  7.115E−03 −1.723E−02 −6.299E−02 −5.192E−02  1.501E−01  2.408E−01  5.160E−04 D −2.644E−02  9.611E−03  2.915E−02  1.948E−02 −4.918E−01 −5.136E−01  5.079E−03 E  3.589E−02 −3.689E−03 −8.314E−03 −4.281E−03  8.704E−01  6.481E−01 −4.111E−03 F −2.525E−02  8.114E−04  1.418E−03  5.712E−04 −9.040E−01 −4.927E−01  1.438E−03 G  8.406E−03 −9.929E−05 −1.502E−04 −4.556E−05  5.366E−01  2.193E−01 −2.484E−04 H −7.198E−04  6.333E−06  9.512E−06  1.998E−06 −1.644E−01 −5.135E−02  2.079E−05 J −1.615E−04 −1.647E−07 −2.760E−07 −3.705E−08  1.999E−02  4.829E−03 −6.746E−07 Surface name Surface L4 S2 L5 S1 L5 S2-1 L5 S2-2 L5 S2-3 L5 S2-4 L5 S2-5 No. 8 9 10 11 12 13 14 R −2.400E+00  3.484E+00  1.273E+00  1.294E+00 −9.028E+00 −7.899E+00 −6.754E+00 k −2.612E+00 −9.893E+01 −1.695E+00 −7.482E+00  6.003E+00 −2.402E−01  1.155E+00 A −2.264E−03 −1.537E−01 −4.412E−01 −6.331E−02  1.877E−01  2.969E−02 −1.059E−03 B −5.965E−03  4.961E−02  7.195E−01  1.858E−02 −1.452E−01 −9.403E−03 −3.195E−05 C −7.264E−04 −7.895E−03 −2.179E−01 −3.404E−03  6.027E−02  1.442E−03  3.312E−06 D  3.202E−03  7.427E−04 −3.629E+00  3.453E−04 −1.594E−02 −1.209E−04  1.218E−05 E −2.017E−03 −4.386E−05  1.425E+01  6.274E−05  2.819E−03  5.633E−06 −2.376E−06 F  6.980E−04  1.639E−06 −3.497E+01  2.336E−07 −3.926E−04 −1.358E−07  1.836E−07 G −1.203E−04 −3.758E−06  5.882E+01 −2.027E−05  2.526E−05  1.119E−09 −6.389E−09 H  1.148E−05  4.816E−10 −5.923E+01  4.535E−06 −1.117E−06 −1.762E−12  8.328E−11 J −4.347E−07 −2.639E−12  2.666E+01 −6.819E−08  2.194E−08  6.928E−13 −8.350E−15

[0142] In the optical imaging system according to the fifth embodiment of the present disclosure, a total length (TTL) is 5.83 mm, an effective focal length (EFL) is 4.99 mm, F-No is 2.0, and a diagonal length of an image sensor is 9.27 mm.

[0143] Further, an effective radius (r.sub.e) of the image side surface L5S2 of the fifth lens L5 is 4.029 mm and positions divided into five areas are r.sub.2=0.603 mm, r.sub.2=1.619 mm, r.sub.3=2.749 mm, and r.sub.4=3.760 mm.

[0144] Through the Tables 11 and 12 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E, F, G, H, J) applied to the five areas L5S2-1, L5S2-2, L5S2-3, L5S2-4, and L5S2-5 divided on the image side surface L5S2 of the fifth lens L5 are different from each other, and as a result, it can be seen that each area is formed of each different aspherical surface.

Sixth Embodiment

[0145] FIGS. 13A and 13B are a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to a sixth embodiment of the present disclosure, respectively.

[0146] As illustrated in FIG. 13A, the optical imaging system according to the sixth embodiment of the present disclosure includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, a fifth lens L5, and a sixth lens L6 which are disposed sequentially from an object side to an image side.

[0147] The first lens L1 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0148] The second lens L2 has refractive power and may be a lens of which both surfaces are concave in a paraxial region.

[0149] The third lens L3 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0150] The fourth lens L4 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region. In addition, the object side surface or the image side surface of the fourth lens L4 may be a plane or have large curvature close to a plane in the paraxial region.

[0151] The fifth lens L5 has refractive power and may be a lens of which both surfaces are convex in a paraxial region.

[0152] The sixth lens L6 has refractive power and may be a lens of which an object side surface is concave in a paraxial region and an image side surface is concave in a paraxial region. In addition, the object side surface or the image side surface of the sixth lens L6 may include at least one inflection point.

[0153] All lens surfaces of the first to sixth lenses L1, L2, L3, L4, L5, and L6 may also be aspherical surfaces, and at least one lens surface may also be a spherical surface.

[0154] However, in the optical imaging system according to the sixth embodiment of the present disclosure, an object side surface L6S1 of the sixth lens L6 is formed of a composite lens surface divided into two areas L6S1-1 and L6S1-2, and an image side surface L6S2 thereof is formed of a composite lens surface divided into three areas L6S2-1, L6S2-2, and L6S2-3.

[0155] The detailed design specification of the optical imaging system according to the sixth embodiment of the present disclosure is shown in the Table 13 below, and the aspherical coefficients applied to each lens surface are shown in the Table 14.

TABLE-US-00013 TABLE 13 Design specification according to sixth embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 1st lens L1 S1 Asphere 1.599 0.6926 1.544 55.91  2 L1 S2 Asphere 9.45 0.1494  3 2nd lens L2 S1 Asphere −143 0.1889 1.671 19.24  4 L2 S2 Asphere 5.539 0.1804  5 Stop Sphere Infinity 0.1658  6 3rd lens L3 S1 Asphere 8.28 0.3041 1.615 25.95  7 L3 S2 Asphere 8.272 0.239   8 4th lens L4 S1 Asphere 21.98 0.2837 1.615 25.95  9 L4 S2 Asphere 27.44 0.4169 10 5th lens L5 S1 Asphere 11.72 0.4389 1.544 55.91 11 L5 S2 Asphere −3.126 0.4142 12 6th lens L6 S1-1 Asphere 9.289 — 1.544 55.91 13 L6 S1-2 Asphere 7.34 0.4493 14 L6 S2-1 Asphere 1.412 — 15 L6 S2-2 Asphere 1.383 — 16 L6 S2-3 Asphere 1.354 0.1999 18 Filter Sphere Infinity 0.11  1.517 64.17 19 Sphere Infinity 0.6224 20 Image Sphere Infinity sensor

TABLE-US-00014 TABLE 14 Aspherical coefficients of sixth embodiment of the present disclosure Surface name Surface L1 S1 L1 S2 L2 S1 L2 S2 L3 S1 L3 S2 L4 S1 L4 S2 No. 1 2 3 4 6 7 8 9 R  1.599E+00  9.450E+00 −1.430E+02  5.539E+00  8.280E+00  8.272E+00  2.198E+01  2.744E+01 k  3.837E−01 −9.015E−01  9.900E+01  1.257E+01  0.000E+00 −3.773E+00 −9.900E+01  0.000E+00 A −1.375E−02 −3.283E−02 −4.788E−02 −2.727E−03 −1.244E−01 −1.358E−01 −1.564E−01 −1.599E−01 B −2.849E−02 −8.330E−02  2.687E−01 −4.681E−02  3.685E−01  1.857E−01 −1.540E−01 −4.321E−02 C  1.302E−01  5.499E−01 −9.326E−01  1.931E+00 −2.368E+00 −4.182E−01  1.179E+00  3.464E−01 D −4.410E−01 −1.735E+00  3.304E+00 −1.060E+01  9.245E+00  1.664E−01 −3.387E+00 −6.455E−01 E  8.256E−01  3.318E+00 −7.673E+00  3.317E+01 −2.234E+01  1.267E+00  5.641E+00  6.678E−01 F −9.509E−01 −3.971E+00  1.088E+01 −5.831E+01  3.339E+01 −3.249E+00 −5.851E+00 −3.967E−01 G  6.537E−01  2.883E+00 −9.109E+00  6.264E+01 −3.005E+01  3.609E+00  3.740E+00  1.341E−01 H −2.482E−01 −1.158E+00  4.134E+00 −3.674E+01  1.488E+01 −2.000E+00 −1.364E+00 −2.390E−02 J  3.958E−02  1.976E−01 −7.826E+01  9.084E+00 −3.093E+00  4.538E−01  2.187E−01  1.729E−03 Surface name Surface L5 S1 L5 S2 L6 S1-1 L6 S1-2 L6 S2-1 L6 S2-2 L6 S2-3 No. 10 11 12 13 14 15 16 R  1.172E+01 −3.126E+00  9.289E+00  7.340E+00  1.412E+00  1.383E+00 −4.624E+00 k  0.000E+00 −2.264E−01 −8.081E+00 −8.081E+00 −6.853E+00 −7.601E+00  1.088E+00 A −5.147E−03  5.048E−02 −3.106E−01 −2.372E−01  3.351E−02 −1.351E−01  0.000E+00 B −9.084E−02 −6.077E−02  1.163E−01  8.749E−02  1.800E+00  8.670E−02  0.000E+00 C  7.262E−02  6.191E−02  3.279E−01  7.966E−03 −1.104E+02 −4.277E−02  0.000E+00 D −2.240E−02 −3.774E−02 −8.451E−01 −1.692E−02  1.506E+03  1.632E−02  6.984E−04 E −2.665E−02  5.174E−03  1.068E−00  6.278E−03 −9.444E+03 −4.700E−03 −3.287E−04 F  2.494E−02  4.403E−03 −8.080E−01 −1.205E−03  2.275E+04  9.517E−04  6.306E−05 G −7.890E−03 −2.121E−03  3.641E−01  1.309E−04 −1.383E+04 −1.245E−04 −6.165E−06 H  1.070E−03  3.624E−04 −8.957E−02 −7.561E−06 −9.805E+04  9.332E−06  3.084E−07 J −5.117E−05 −2.240E−05  9.185E−03  1.787E−07  1.592E+05 −3.019E−07 −6.340E−09

[0156] In the optical imaging system according to the sixth embodiment of the present disclosure, a total length (TTL) is 4.86 mm, an effective focal length (EFL) is 4.24 mm, F-No is 1.9, and a diagonal length of an image sensor is 6.56 min.

[0157] Further, an effective radius (r.sub.e) of the object side surface L6S1 of the sixth lens L6 is 2.374 mm and a position divided into the two areas is r.sub.1=1.215 mm.

[0158] Further, an effective radius (r.sub.e) of the image side surface L6S2 of the sixth lens L6 is 2.746 mm and positions divided into the three areas are r.sub.2=0.499 mm and r.sub.2=2.381 mm.

[0159] Through the Tables 13 and 14 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E, F, G, H, J) applied to all the areas L6S1-1, L6S1-2, L6S2-1, L6S2-2, and L6S2-3 divided on the object side surface L6S1 and the image side surface L6S2 of the sixth lens L6 are different from each other, and as a result, it can be seen that each area is formed of each different aspherical surface.

Seventh Embodiment

[0160] FIGS. 14A and 14B are a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to a seventh embodiment of the present disclosure.

[0161] As illustrated in FIG. 14A, the optical imaging system according to the seventh embodiment of the present disclosure includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, a fifth lens L5, and a sixth lens L6 which are disposed sequentially from an object side to an image side.

[0162] The first lens L1 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0163] The second lens L2 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0164] The third lens L3 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0165] The fourth lens L4 has refractive power and may be a lens of which an object side surface is concave and an image side surface is convex. In addition, the object side surface or the image side surface of the fourth lens L4 may be a plane or have large curvature close to a plane in the paraxial region.

[0166] The fifth lens L5 has refractive power and may be a lens of which both surfaces are convex in a paraxial region.

[0167] The sixth lens L6 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region. In addition, the object side surface or the image side surface of the sixth lens L6 may include at least one inflection point.

[0168] All lens surfaces of the first to sixth lenses L1, L2, L3, L4, L5, and L6 may also be aspherical surfaces, and at least one lens surface may also be a spherical surface.

[0169] However, in the optical imaging system according to the seventh embodiment of the present disclosure, an image side surface L6S2 of the sixth lens L6 is formed of a composite lens surface divided into three areas L6S2-1, L6S2-2, and L6S2-3.

[0170] The detailed design specification of the optical imaging system according to the seventh embodiment of the present disclosure is shown in the Table 15 below, and the aspherical coefficients applied to each lens surface are shown in the Table 16.

TABLE-US-00015 TABLE 15 Design specification according to seventh embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 1st lens L1 S1 Asphere 1.814 0.6922 1.535 55.71  2 L1 S2 Asphere 9.651 0.1402 3 (Stop) 2nd lens L2 S1 Asphere 20.96 0.2001 1.671 19.24  4 L2 S2 Asphere 5.012 0.4137  5 3rd lens L3 S1 Asphere 19.45 0.3218 1.615 25.95  6 L3 S2 Asphere 31.18 0.2784  7 4th lens L4 S1 Asphere −77.25 0.3227 1.615 25.95  8 L4 S2 Asphere 26.45 0.4757  9 5th lens L5 S1 Asphere 21.65 0.8338 1.535 55.71 10 L5 S2 Asphere −2.846 0.4994 11 6th lens L6 S1 Asphere 4.507 0.5172 1.535 55.71 12 L6 S2-1 Asphere 1.299 — 13 L6 S2-2 Asphere 1.366 — 14 L6 S2-3 Asphere 3.611 0.3348 16 Filter Sphere Infinity 0.11  1.917 64.17 17 Sphere Infinity 0.6900 18 Image Sphere Infinity sensor

TABLE-US-00016 TABLE 16 Aspherical coefficients of seventh embodiment of the present disclosure Surface name Surface L1 S1 L1 S2 L2 S1 L2 S2 L3 S1 L3 S2 L4 S1 No. 1 2 3 4 5 6 7 R  1.814E+00  9.651E+00  2.096E+01  5.012E+00  1.945E+01  3.118E+01 −7.725E+01 k  3.970E−01 −4.431E+00  9.423E+01  1.672E+01  1.328E+01  2.494E+01 −5.246E+01 A −1.207E−02 −1.659E−02  1.603E−02 −5.494E−03 −5.953E−02 −6.956E−02 −1.213E−01 B  3.600E−02  2.032E−02  7.111E−02  2.897E−02  5.935E−02 −1.020E−02  9.984E−03 C −1.445E−01 −6.477E−02 −1.321E−01  1.210E−01 −2.491E−01  1.506E−01  7.514E−02 D  3.209E−01  1.896E−01  2.819E−01 −6.863E−01  6.272E−01 −5.323E−01 −1.526E−01 E −4.484E−01 −3.434E−01 −4.229E−01  1.833E+00 −1.070E+00  9.501E−01  1.749E−01 F  3.900E−01  3.688E−01  3.939E−01 −2.834E+00  1.158E+00 −1.029E+00 −1.490E−01 G −2.063E−01 −2.327E−01 −2.132E−01  2.561E+00 −7.520E−01  6.758E−01  9.054E−02 H  6.046E−02  7.973E−02  6.130E−02 −1.250E+00  2.612E−01 −2.478E−01 −3.201E−02 J −7.592E−03 −1.147E−02 −2.122E−03  2.591E−01 −3.507E−02  3.900E−02  4.686E−03 Surface name Surface L4 S2 L5 S1 L5 S2 L6 S1 L6 S2-1 L6 S2-2 L6 S2-3 No. 8 9 10 11 12 13 14 R  2.645E+01  2.165E+01 −2.846E+00  4.507E+00  1.299E+00  1.366E+00  3.611E+00 k −1.174E+01 −1.670E+00 −9.464E−01 −9.431E+01 −7.988E+00 −6.046E+00 −1.313E+01 A −1.077E−01 −2.160E−02 −1.985E−02 −1.922E−01 −1.487E−02 −8.054E−02 −4.162E−02 B  3.181E−02 −1.259E−02  2.902E−02  8.001E−02 −7.620E−02  3.068E−02  7.727E−03 C −1.676E−02 −1.265E−03 −3.624E−02 −1.801E−02  7.972E−02 −7.450E−03  7.648E−04 D  4.589E−02  9.724E−03  2.577E−02  2.617E−03 −3.345E−02  1.178E−03 −3.929E−04 E  6.619E−02 −6.724E−03 −1.034E−02 −2.568E−04  7.226E−03 −1.220E−04  5.030E−05 F  4.999E−02  2.139E−03  2.447E−03  1.699E−05 −8.895E−04  8.868E−06 −3.217E−06 G −2.026E−02 −3.516E−04 −3.414E−04 −7.278E−07  6.368E−05 −3.205E−07  1.128E−07 H  4.180E−03  2.872E−05  2.611E−05  1.824E−08 −2.489E−06  6.765E−09 −2.074E−09 J −3.463E−04 −9.092E−07 −8.450E−07 −2.030E−10  4.131E−08 −5.573E−11  1.565E−11

[0171] In the optical imaging system according to the seventh embodiment of the present disclosure, a total length (TTL) is 5.83 mm, an effective focal length (EFL) is 4.98 mm, F-No is 2.0, and a diagonal length of an image sensor is 9.27 min.

[0172] Further, an effective radius (r.sub.e) of the image side surface L6S2 of the sixth lens L6 is 3.999 mm and positions divided into the three areas are r.sub.2=0.663 mm and r.sub.2=3.333 mm.

[0173] Through the Tables 15 and 16 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E, F, G, H, J) applied to the three areas L6S2-1, L6S2-2, and L6S2-3 divided on the image side surface L6S2 of the sixth lens L6 are different from each other, and as a result, it can be seen that each area is formed of each different aspherical surface.

Eighth Embodiment

[0174] FIGS. 15A and 15B are a configuration diagram and a graph illustrating aberration curves of the optical imaging system according to an eighth embodiment of the present disclosure.

[0175] As illustrated in FIG. 15A, the optical imaging system according to the eighth embodiment of the present disclosure includes a first lens L1, a second lens L2, a third lens L3, a fourth lens L4, a fifth lens L5, a sixth lens L6, and a seventh lens L7 which are disposed sequentially from an object side to an image side.

[0176] The first lens L1 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0177] The second lens L2 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0178] The third lens L3 has refractive power and may be a lens of which an object side surface is convex and an image side surface is concave.

[0179] The fourth lens L4 has refractive power, wherein an object side surface may be concave in a paraxial region and an image side surface may be a plane or a concave surface having large curvature close to a plane.

[0180] The fifth lens L5 has refractive power and may be a lens of which an object side surface is convex in a paraxial region and an image side surface is concave in a paraxial region.

[0181] The sixth lens L6 has refractive power and may be a lens of which both surfaces are convex in a paraxial region.

[0182] The seventh lens L7 has refractive power and may be a lens of which both surfaces are concave in a paraxial region.

[0183] In addition, the object side surface or the image side surface of the seventh lens L7 may include at least one inflection point.

[0184] All lens surfaces of the first to seventh lenses L1, L2, L3, L4, L5, L6, and L7 may also be aspherical surfaces, and at least one lens surface may also be a spherical surface.

[0185] However, in the optical imaging system according to the eighth embodiment of the present disclosure, an image side surface L7S2 of the seventh lens L7 is formed of a composite lens surface divided into three areas L7S2-1, L7S2-2, and L7S2-3.

[0186] The detailed design specification of the optical imaging system according to the eighth embodiment of the present disclosure is shown in the Table 17 below, and the aspherical coefficients applied to each lens surface are shown in Table 18.

TABLE-US-00017 TABLE 17 Design specification according to eighth embodiment of the present disclosure Radius of Thickness/ Refractive Abbe Surface Surface Sphere/ Curvature distance Index Number No. Component Name Asphere (mm) (mm) (Nd) (Vd)  1 1st lens L1 S1 Asphere 1.931 0.7341 1.544 55.91  2 L1 S2 Asphere 9.512 0.067   3 2nd lens L2 S1 Asphere 7.336 0.2   1.671 19.24  4 L2 S2 Asphere 3.773 0.2131  5 3rd lens L3 S1 Asphere 8.932 0.2813 1.535 55.71 6 (Stop) L3 S2 Asphere 24.23 0.3716  7 4th lens L4 S1 Asphere −11.33 0.3191 1.615 25.95  8 L4 S2 Asphere 100.9 0.1614  9 5th lens L5 S1 Asphere 7.477 0.2969 1.65  21.47 10 L5 S2 Asphere 10.85 0.5604 11 6th lens L6 S1 Asphere 12.4 0.7373 1.535 55.71 12 L6 S2 Asphere −3.257 0.3837 13 7th lens L7 S1 Asphere −7.305 0.5973 1.544 55.91 14 L7 S2-1 Asphere 2.246 — 15 L7 S2-2 Asphere 2.446 — 16 L7 S2-3 Asphere 2.218 0.2699 18 Filter Sphere Infinity 0.11  1.517 64.17 19 Sphere Infinity 0.6400 20 Image Sphere Infinity sensor

TABLE-US-00018 TABLE 18 Aspherical coefficients of eighth embodiment of the present disclosure Surface name Surface L1 S1 L1 S2 L2 S1 L2 S2 L3 S1 L3 S2 L4 S1 L4 S2 No. 1 2 3 4 5 6 7 8 R  1.931E+00  9.512E+00  7.336E+00  3.773E+00  8.932E+00  2.423E+01 −1.133E+01  1.009E+02 k −1.594E+00  0.000E+00  0.000E+00  3.006E+00 −3.169E+01 −1.000E+00 −3.362E+02  2.455E+03 A  2.174E−02 −2.609E−02 −3.776E−02 −2.960E−02 −1.173E−03 −1.193E−02 −1.001E−01 −1.362E−01 B  2.673E−02  3.116E−02  2.782E−02  4.146E−02 −9.107E−03  1.850E−02  9.782E−02  2.432E−01 C −7.442E−02 −4.511E−02  2.532E−02 −9.617E−02 −2.296E−02 −9.903E−02 −2.136E−01 −6.135E−01 D  1.290E−01  5.262E−02 −1.081E−01  1.800E−01  7.363E−02  2.127E−01  2.310E−01  1.092E+00 E −1.397E−01 −3.747E−02  1.942E−01 −1.928E−01 −9.011E−02 −2.388E−01 −1.444E−01 −1.369E+00 F  9.454E−02  9.985E−03 −2.036E−01  1.100E−01  6.192E−02  1.349E−01  4.413E−02  1.121E+00 G −3.900E−02  3.560E−03  1.260E−01 −2.452E−02 −1.505E−02 −5.075E−03 −3.411E−03 −5.659E−01 H  8.879E−03 −2.929E−03 −4.216E−02  0.000E+00  0.000E+00 −2.921E−02  0.000E+00  1.592E−01 J −8.597E−04  5.273E−04  5.852E−03  0.000E+00  0.000E+00  9.980E−03  0.000E+00 −1.895E−02 Surface name Surface L5 S1 L5 S2 L6 S1 L6 S2 L7 S1 L7 S2-1 L7 S2-2 L7 S2-3 No. 9 10 11 12 13 14 15 16 R  7.477E+00  1.085E+01  1.240E+01 −3.257E+00 −7.305E+00  2.246E+00  2.446E+00 −4.436E+00 k −2.477E+02  0.000E+00  1.956E+01 −7.017E−02 −1.453E+00 −9.260E+00 −9.685E+00 −1.078E+00 A −1.099E−01 −1.255E−01  1.336E−02  1.033E−01 −4.027E−02 −4.587E−02 −4.104E−02  0.000E+00 B  4.092E−02  5.468E−02 −4.508E−02 −5.361E−02  6.819E−03  1.635E−02  1.372E−02  0.000E+00 C  1.000E−02 −1.512E−02  3.009E−02  1.602E−02  3.146E−04 −5.165E−03 −4.356E−03  0.000E+00 D −3.809E−02  8.121E−03 −1.796E−02 −3.352E−03 −1.765E−04  1.169E−03  1.034E−03  0.000E+00 E  1.638E−02 −1.261E−02  7.544E−03  6.188E−04  1.867E−05 −1.710E−04 −1.665E−04  5.825E−06 F −1.965E−03  8.933E−03 −2.032E−03 −6.422E−05 −8.564E−07  1.574E−05  1.746E−05 −1.916E−06 G  0.000E+00 −2.930E−03  3.325E−04  3.111E−06  1.477E−08 −8.835E−07 −1.147E−06  2.021E−07 H  0.000E+00  4.569E−04 −2.960E−05 −1.139E−08  0.000E+00  2.794E−08  4.293E−08 −9.475E−09 J  0.000E+00 −2.749E−05  1.083E−06 −3.027E−09  0.000E+00 −3.858E−10 −6.975E−10  1.663E−10

[0187] In the optical imaging system according to the eighth embodiment of the present disclosure, a total length (TTL) is 5.96 mm, an effective focal length (EFL) is 5.24 mm, F-No is 1.9, and a diagonal length of an image sensor is 9.27 min.

[0188] Further, an effective radius (r.sub.e) of the image side surface L7S2 of the seventh lens L7 is 3.615 mm and positions divided into the three areas are r.sub.1=1.6 mm and r.sub.2=3.2 mm.

[0189] Through the Tables 17 and 18 above, it can be confirmed that all coefficient sets (R, k, A, B, C, D, E, F, G, H, J) applied to the three areas L7S2-1, L7S2-2, and L7S2-3 divided on the image side surface L7S2 of the seventh lens L7 are different from each other, and as a result, it can be seen that each area is formed in each different aspherical surface.

[0190] Hereinabove, the case of applying the composite lens surface to the last lens surface among the plurality of lens surfaces constituting the optical system has been mainly described, but like the third embodiment, the composite lens surfaces may be applied to all the lens surfaces constituting the optical system and the composite lens surfaces may also be applied to at least two or more lens surfaces.

[0191] In addition, hereinabove, it has been described that the aspherical or spherical surface is formed on each divided area, but it is not necessarily limited thereto. Therefore, a plane may also be formed in at least one area of the divided areas. Also, since the aspherical surface is not necessarily formed in the divided area, only spherical surfaces with different curvatures may also be formed in all the areas.

[0192] Further, hereinabove, although it has been described that all of the plurality of divided areas have curved surfaces with each different shapes, it is not limited thereto, and thus, non-adjacent areas (e.g., first area and third area) may be formed of aspherical, spherical, or planar surfaces expressed by the same equation while only the adjacent areas are formed of different shapes from each other.

[0193] Further, hereinabove, although it has been mainly described that each area is rotationally symmetric, it is not limited thereto, and thus, each divided area may be formed of any one of non-rotational symmetric and freeform surfaces.

[0194] 2. Design Method of Composite Lens Surface

[0195] Hereinafter, a detailed method of designing the composite lens surface described above will be described with reference to a flowchart of FIG. 16.

[0196] First, it is preferred to calculate basic design values of a lens surface based on a target specification by using a design algorithm of existing optical design software (e.g., CodeV, Zemax, OSLO, etc.).

[0197] At this time, the basic design values of the lens surface may be calculated by inputting basic data such as the number of lenses, a focal length, a field of view (FOV), a magnification, and the positions and sizes of an entrance pupil and an exit pupil, restriction conditions, and the like. (ST11)

[0198] After the basic design values of the lens surface are calculated, a basis including a basis element having large similarity in a predetermined range of the calculated basic design values is determined by searching basis element candidate groups.

[0199] As the basis element may be expressed as a function, the basis element candidate groups may be a basis function candidate groups.

[0200] In the basis function candidate groups, as described above, an x aspherical function, a Q.sub.con aspherical function, a Q.sub.bsf aspherical function, a Zernike function, and the like may be included.

[0201] Meanwhile, the similarity between the basic design values of the lens surface and the basis element may also be determined based on designer's experiences, but it is more preferable to utilize a mathematical algorithm to determine the similarity.

[0202] As an example, the similarity (s) may be calculated in the same manner as the following Equation 6 in a range [a, b].

s=sim[{z(r)−z.sub.c(r)},f.sub.i(r)].sub.a.sup.b  <Equation 6>

[0203] Here, r represents a radial distance, z(r) represents a sag of the lens surface, z.sub.c(r) represents a conic term of the lens surface, and f.sub.i(r) represents an i-th basis element.

[0204] Meanwhile, the range [a, b] may be determined and arbitrarily input by the designer and may also be automatically selected and input according to features such as an inflection point and the like or setting conditions by a program.

[0205] As an example, in the case of using the orthonormal basis function, the similarity (s) may be calculated through an inner product value in the same manner as in the following Equation 7.

[00006]$\begin{array}{cc}s=\frac{r_e}{b-a}{\int }_a^b\left\{z\left(r\right)-z_c\left(r\right)\right\}{f}_i\left(r\right)dr& <\mathrm{Equation}7>\end{array}$

[0206] Wherein, r represents a radial distance, z(r) represents a sag of the lens surface, z.sub.c(r) represents a conic term of the lens surface, f.sub.i(r) represents an i-th basis element, a and b are divided positions of each area, and r.sub.e represents an effective radius of the lens surface.

[0207] Meanwhile, the similarity (s) may be defined using an average of standard deviation and residual value deviation, etc., by applying the method of least squares, and the like, and in this case, preferably, the similarity is defined by considering an appropriate data number.

[0208] When there is a basis element in which the similarity (s) satisfies the setting condition through the above process, it is determined as the basis element similar to the form of the corresponding area, and the basis including the basis element may be determined as a basis to be applied to the corresponding area.

[0209] At this time, it is preferred that a first curved surface function represented by a first basis function applied to a first area and a second curved surface function represented by a second basis function applied to a second area adjacent to the first area are determined so that the sag heights of the lens surface is the same or the slope is the same on the boundary between the first area and the second area. (ST12)

[0210] Meanwhile, since the similarity (s) is calculated under a condition of a predetermined range [a, b], the range [a, b] may be determined as the boundary of the corresponding area when the basis including a basis element of which the similarity (s) within the predetermined range [a, b] satisfies the predetermined condition is determined.

[0211] However, in some cases, an inflection point of the lens surface may also be determined as an initial position of area division by considering the configuration of the basis function and the form of the lens surface. Otherwise, the area division positions may also be determined by other different methods. (ST13)

[0212] After the division positions of the corresponding lens surface and the basis element corresponding to each area are determined through the above process, an optimization process may be performed considering mass-productivity and the like. (ST14)

[0213] 3. Computing Device for Designing Composite Lens Surface

[0214] As shown in the block diagram of FIG. 17, a computing device 100 according to an embodiment of the present disclosure may include a processor 110, a memory 120, a display 130, an input unit 140, a communication unit 150, etc.

[0215] The processor 110 executes a computer program stored in the memory 120 to execute predetermined computing or data processing.

[0216] The memory 120 may include a nonvolatile memory (e.g., a flash memory, etc.) and a volatile memory (e.g., a random access memory). The memory 120 may include a large-capacity storage, such as HDD, SSD, ODD, and the like. The memory 120 may store computer programs, various parameters, data, etc. for the operation of the computing device 100. The computer program is a set of instructions executed by the processor 110 and may include an operating system, middleware, an application or an application programming interface (API), etc. The computer program may be stored in a non-volatile memory and loaded and executed in a volatile memory.

[0217] In the computing device 100 according to an embodiment of the present disclosure, a lens design program for designing the composite lens surface of the lens surface may be stored in the memory 120.

[0218] The lens design program may include a basic design value calculation unit 122, a basis determination unit 124, a division position determination unit 126, an optimization processing unit 128, and the like, which are functionally distinguished.

[0219] The basic design value calculation unit 122 serves to calculate basic design values of each lens surface based on inputted data while providing an interface capable of allowing the user to input a target specification, basic data, restriction conditions, and the like required for lens design. In the basic design value calculation unit 122, existing optical design programs may also be used.

[0220] The basis determination unit 124 calculates the similarity (s) to the basic design values of the lens surface in a predetermined range by searching basis function candidate groups and basis elements stored in the memory 120, and determines a basis including the basis element of which the calculated similarity satisfies the predetermined condition as the basis of the corresponding area. The method of calculating the similarity is as described above.

[0221] The division position determination unit 126 determines the range predetermined when the basis determination unit 124 determines the basis as a division position or determines a position preset by the user or satisfying a predetermined condition as the division position.

[0222] The optimization processing unit 128 performs existing optimization algorithms according to the predetermined condition or provides an interface for optimization to the user and adjusts existing design values according to input data.

[0223] Referring back to FIG. 17, the display 130 serves to display a lens design result or provide a data input window, the input unit 140 provides an interface for user operation and instructions/data input, and the communication unit 150 provides a communication interface with external or remote electronic devices. Further, a data transmission line 190 serves as a medium of transmitting an electric signal among the respective components 110, 120, 130, 140, and 150 of the computing device 100.

[0224] The lens design method according to the embodiment of the present disclosure may be implemented in a form of program instructions which may be performed through various computer means to be recorded in a computer readable recording medium.

[0225] At this time, the computer readable recording medium may include program instructions, data files, data structures, and the like alone or in combination. The program instructions recorded in the recording medium may be specially designed and configured for the present disclosure, or may be known to those skilled in the computer software-related art to be usable.

[0226] The computer readable recording medium may include at least one of magnetic media, such as a hard disk, a floppy disk, and a magnetic tape, optical media such as a CD-ROM and a DVD, magneto-optical media such as a floptical disk, a ROM, a RAM, a flash memory, and the like.

[0227] In addition, the program instructions may include high-level language codes executable by a computer using an interpreter and the like, as well as machine language codes created by a compiler.

[0228] Hereinabove, the preferred embodiment of the present disclosure has been described, but the present disclosure is not limited to the embodiments described above and may be variously modified or changed in a specific application process, and it is natural that if the modified or changed embodiments also include the technical idea of the present disclosure disclosed in the appended claims, the modified or changed embodiments belong to the scope of the present disclosure.