Optical system

Abstract

The present application discloses an optical system, which includes, along the optical axis from the object side to the image side: a first lens with negative optical focal power; a second lens with optical focal power; a third lens with positive optical focal power; a fourth lens with negative optical focal power; a fifth lens with positive optical focal power; a sixth lens with negative optical focal power; a seventh lens with positive optical focal power; an eighth lens with optical focal power; and a ninth lens with negative optical focal power; the maximum half field of view Semi‑FOV of the optical system, the effective focal length f of the optical system, and the combined focal length f89 of the eighth lens and the ninth lens satisfy the following: 0.5<f / f89+tan(Semi‑FOV)<1.0; and the effective focal length f6 of the sixth lens, the effective focal length f7 of the seventh lens, the center thickness CT6 of the sixth lens on the optical axis, and the center thickness CT7 of the seventh lens on the optical axis satisfy the following: ‑32.0<f6 / CT6+f7 / CT7<‑20.0.

Description

Technical Field

[0001] The present application relates to the field of optical elements, and in particular, to an optical system. Background Art

[0002] With the advancement of science and technology, wide-angle lenses, particularly ultra-wide-angle and fisheye lenses, are playing a vital role in an increasing number of applications, including photography, security, measurement, projection, entertainment, and automotive. The short focal length of wide-angle lenses creates a unique barrel distortion, which in turn creates a strong visual impact. Simultaneously, advancements in semiconductor manufacturing technology are reducing the pixel size of image sensors, increasing the pixel count of optical systems and improving image quality. To support product adoption, lens sizes are shrinking, and costs are decreasing.

[0003] Therefore, the market has put forward higher requirements for the miniaturization, lightweight, wide-angle and imaging quality of camera lenses, requiring a smaller lens length, a larger image surface and a larger field of view. These requirements are undoubtedly an important test for the optical system. Summary of the Invention

[0004] The present application provides an optical system, which includes, in order from the object side to the image side along the optical axis: a first lens with negative optical power; a second lens with optical power; a third lens with positive optical power; a fourth lens with negative optical power; a fifth lens with positive optical power; a sixth lens with negative optical power; a seventh lens with positive optical power; an eighth lens with optical power; and a ninth lens with negative optical power; the maximum half field of view Semi-FOV of the optical system, the effective focal length f of the optical system, and the combined focal length f89 of the eighth lens and the ninth lens satisfy the following: 0.5<f / f89+tan(Semi-FOV)<1.0; and the effective focal length f6 of the sixth lens, the effective focal length f7 of the seventh lens, the center thickness CT6 of the sixth lens on the optical axis, and the center thickness CT7 of the seventh lens on the optical axis satisfy the following: -32.0<f6 / CT6+f7 / CT7<-20.0.

[0005] In one embodiment, the effective focal length f6 of the sixth lens, the effective focal length f9 of the ninth lens, the curvature radius R12 of the image-side surface of the sixth lens, and the curvature radius R17 of the object-side surface of the ninth lens satisfy: -0.1<f6 / R12+f9 / R17<1.0.

[0006] In one embodiment, the center thickness CT1 of the first lens on the optical axis and the on-axis distance SAG11 between the intersection of the object-side surface of the first lens and the optical axis and the vertex of the effective radius of the object-side surface of the first lens satisfy: -15.0<CT1 / SAG11<-7.0.

[0007] In one embodiment, the effective focal length f1 of the first lens, the effective focal length f5 of the fifth lens, the curvature radius R2 of the image side surface of the first lens, and the curvature radius R10 of the image side surface of the fifth lens satisfy: -4.5<R10 / f5+R2 / f1<-2.5.

[0008] In one embodiment, the curvature radius R1 of the object-side surface of the first lens and the combined focal length f12 of the first lens and the second lens satisfy: 0.5<f12 / R1<2.0.

[0009] In one embodiment, the center thickness CT1 of the first lens on the optical axis and the on-axis distance SAG11 between the intersection of the object-side surface of the first lens and the optical axis and the vertex of the effective radius of the object-side surface of the first lens satisfy: 7.0<CT1 / |SAG11|<15.0.

[0010] In one embodiment, the central thickness CT3 of the third lens on the optical axis and the on-axis distance SAG32 between the intersection of the image side surface of the third lens and the optical axis and the vertex of the effective radius of the image side surface of the third lens satisfy: -3.0<CT3 / SAG32<-2.0.

[0011] In one embodiment, the center thickness CT5 of the fifth lens on the optical axis, the center thickness CT6 of the sixth lens on the optical axis, the on-axis distance SAG52 between the intersection of the image side surface of the fifth lens and the optical axis and the vertex of the effective radius of the image side surface of the fifth lens, and the on-axis distance SAG61 between the intersection of the object side surface of the sixth lens and the optical axis and the vertex of the effective radius of the object side surface of the sixth lens satisfy: 4.0<CT5 / CT6+SAG61 / SAG52<5.5.

[0012] In one embodiment, the air interval T45 between the fourth lens and the fifth lens on the optical axis, the air interval T56 between the fifth lens and the sixth lens on the optical axis, the effective focal length f6 of the sixth lens, and the effective focal length f of the optical system satisfy: 7.5<T56 / T45+f / f5<9.5.

[0013] In one embodiment, the center thickness CT9 of the ninth lens on the optical axis, the air gap T89 between the eighth lens and the ninth lens on the optical axis, the on-axis distance SAG91 between the intersection of the object-side surface of the ninth lens and the optical axis and the vertex of the effective radius of the object-side surface of the ninth lens, and the on-axis distance SAG92 between the intersection of the image-side surface of the ninth lens and the optical axis and the vertex of the effective radius of the image-side surface of the ninth lens satisfy the following: 3.0<T89 / CT9+SAG91 / SAG92<4.5.

[0014] In one embodiment, a curvature radius R13 of the object-side surface of the seventh lens and a curvature radius R14 of the image-side surface of the seventh lens satisfy: 0<(R13+R14) / (R13-R14)<0.5.

[0015] In one embodiment, a curvature radius R16 of the image-side surface of the eighth lens and a curvature radius R17 of the object-side surface of the ninth lens satisfy: 5.5<(R16+R17) / (R16-R17)<15.5.

[0016] The optical system proposed in the present application reasonably distributes the positive and negative optical focal lengths of each lens, shortens the total focal length of the optical system, improves the imaging quality, and at the same time satisfies 0.5<f / f89+tan(Semi-FOV)<1.0 and -32.0<f6 / CT6+f7 / CT7<-20.0, thereby ensuring a sufficiently large field of view angle, a relatively large image height, and good field curvature. It can effectively control the deflection angle of the optical light beam of the optical system at the sixth lens and the seventh lens, effectively reduce the sensitivity of the system, and achieve good processing characteristics. The optical system proposed in the present application has the characteristics of miniaturization, ultra-wide angle, and large image surface. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] Other features, objects and advantages of the present application will become more apparent upon reading the detailed description of non-limiting embodiments made with reference to the following drawings:

[0018] Figure 1 1 shows a schematic structural diagram of an optical imaging lens according to Example 1 of the present application;

[0019] Figures 2A to 2C axial chromatic aberration curve, astigmatism curve, and lateral chromatic aberration curve of the optical imaging lens of Example 1 are respectively shown;

[0020] Figure 3 1 shows a schematic structural diagram of an optical imaging lens according to Example 2 of the present application;

[0021] Figures 4A to 4C axial chromatic aberration curve, astigmatism curve, and magnification chromatic aberration curve of the optical imaging lens of Example 2 are respectively shown;

[0022] Figure 5 1 shows a schematic structural diagram of an optical imaging lens according to Example 3 of the present application;

[0023] Figures 6A to 6C axial chromatic aberration curve, astigmatism curve, and magnification chromatic aberration curve of the optical imaging lens of Example 3 are respectively shown;

[0024] Figure 7 1 shows a schematic structural diagram of an optical imaging lens according to Example 4 of the present application;

[0025] Figures 8A to 8C axial chromatic aberration curve, astigmatism curve, and lateral chromatic aberration curve of the optical imaging lens of Example 4 are respectively shown;

[0026] Figure 9 1 shows a schematic structural diagram of an optical imaging lens according to Example 5 of the present application;

[0027] 10A to 10C axial chromatic aberration curve, astigmatism curve, and lateral chromatic aberration curve of the optical imaging lens of Example 5 are respectively shown;

[0028] Figure 11 1 shows a schematic structural diagram of an optical imaging lens according to Example 6 of the present application;

[0029] 12A to 12C axial chromatic aberration curve, astigmatism curve, and lateral chromatic aberration curve of the optical imaging lens of Example 6 are respectively shown;

[0030] Figure 13 shows a schematic structural diagram of an optical imaging lens according to Example 7 of the present application; and

[0031] 14A to 14C The axial chromatic aberration curve, astigmatism curve, and magnification chromatic aberration curve of the optical imaging lens of Example 7 are respectively shown. DETAILED DESCRIPTION

[0032] For a better understanding of the present application, various aspects of the present application will be described in more detail with reference to the accompanying drawings. It should be understood that these detailed descriptions are merely descriptions of exemplary embodiments of the present application and are not intended to limit the scope of the present application in any way. Throughout the specification, the same reference numerals refer to the same elements. The expression "and / or" includes any and all combinations of one or more of the associated listed items.

[0033] It should be noted that in this specification, the terms "first," "second," "third," etc., are used solely to distinguish one feature from another and do not limit the features. Thus, the first lens discussed below could also be referred to as the second lens or the third lens without departing from the teachings of this application.

[0034] In the drawings, the thickness, size, and shape of the lenses are slightly exaggerated for ease of illustration. Specifically, the shapes of the spherical and aspherical surfaces shown in the drawings are provided by way of example. That is, the shapes of the spherical and aspherical surfaces are not limited to those shown in the drawings. The drawings are for illustration only and are not drawn strictly to scale.

[0035] In this article, the paraxial region refers to the area near the optical axis. If a lens surface is convex and the location of the convex surface is undefined, it means that the lens surface is convex at least in the paraxial region. If a lens surface is concave and the location of the concave surface is undefined, it means that the lens surface is concave at least in the paraxial region. The surface of each lens closest to the subject is called the object-side surface of the lens, and the surface of each lens closest to the imaging plane is called the image-side surface of the lens.

[0036] It should also be understood that the terms "comprises," "including," "having," "includes," and / or "comprising," when used in this specification, indicate the presence of the stated features, elements, and / or components, but do not preclude the presence or addition of one or more other features, elements, components, and / or combinations thereof. In addition, when expressions such as "at least one of..." appear after a list of listed features, they modify the entire list of features rather than modifying the individual elements in the list. In addition, when describing embodiments of the present application, "may" is used to mean "one or more embodiments of the present application." And, the term "exemplary" is intended to refer to an example or illustration.

[0037] Unless otherwise defined, all terms used herein (including technical and scientific terms) have the same meaning as commonly understood by those skilled in the art to which this application belongs. It should also be understood that terms (such as those defined in commonly used dictionaries) should be interpreted as having a meaning consistent with their meaning in the context of the relevant technology and will not be interpreted in an idealized or overly formal sense unless expressly defined as such herein.

[0038] It should be noted that, in the absence of conflict, the embodiments and features of the embodiments in this application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and in combination with the embodiments.

[0039] The features, principles and other aspects of the present application are described in detail below.

[0040] According to an exemplary embodiment of the present application, an optical system may include a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens arranged in sequence from the object side to the image side along the optical axis; any two adjacent lenses among the first lens to the ninth lens may have a spacing distance therebetween.

[0041] In an exemplary embodiment, the first lens has negative optical power; the second lens has positive optical power or negative optical power; the third lens has positive optical power; the fourth lens has negative optical power; the fifth lens has positive optical power; the sixth lens has negative optical power; the seventh lens has positive optical power; the eighth lens has positive optical power or negative optical power; and the ninth lens has negative optical power.

[0042] In an exemplary embodiment, the optical system according to the present application may satisfy: 0.5<f / f89+tan(Semi-FOV)<1.0, wherein Semi-FOV is the maximum half field of view angle of the optical system, f is the effective focal length of the optical system, and f89 is the combined focal length of the eighth lens and the ninth lens.

[0043] In an exemplary embodiment, the optical system according to the present application may satisfy: -32.0<f6 / CT6+f7 / CT7<-20.0, where f6 is the effective focal length of the sixth lens, f7 is the effective focal length of the seventh lens, CT6 is the center thickness of the sixth lens on the optical axis, and CT7 is the center thickness of the seventh lens on the optical axis.

[0044] According to an exemplary embodiment of the present application, an optical system may include a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens arranged in sequence from the object side to the image side along the optical axis; the first lens has negative optical power; the second lens has positive optical power or negative optical power; the third lens has positive optical power; the fourth lens has negative optical power; the fifth lens has positive optical power; the sixth lens has negative optical power; the seventh lens has positive optical power; the eighth lens has positive optical power or negative optical power; and the ninth lens has negative optical power. The maximum half field of view Semi-FOV of the optical system, the effective focal length f of the optical system, and the combined focal length f89 of the eighth lens and the ninth lens satisfy the following: 0.5<f / f89+tan(Semi-FOV)<1.0; and the effective focal length f6 of the sixth lens, the effective focal length f7 of the seventh lens, the center thickness CT6 of the sixth lens on the optical axis, and the center thickness CT7 of the seventh lens on the optical axis satisfy the following: -32.0<f6 / CT6+f7 / CT7<-20.0. The present application facilitates shortening the total focal length of the optical system, improving imaging quality, and achieving the design requirements of ultra-wide angle and large image surface by rationally distributing the positive and negative optical powers of each lens in the optical system; if the value of f / f89+tan(Semi-FOV) is too large, the combined focal length of the eighth lens and the ninth lens will be too small, affecting the convergence of light; if it is too small, the field of view angle and image height will be insufficient. By controlling the value of f / f89+tan(Semi-FOV) within a reasonable range, a sufficiently large field of view angle, a relatively large image height, and good field curvature can be ensured; and by satisfying -32.0<f6 / CT6+f7 / CT7<-20.0, the deflection angle of the light beam of the optical system at the sixth lens and the seventh lens can be effectively controlled, the sensitivity of the system can be effectively reduced, and good processing characteristics can be achieved.

[0045] In an exemplary embodiment, the first lens has a negative optical power, which can significantly reduce the incident angle of the light incident on the second lens; the optical power of the second lens is relatively small, which reduces the sensitivity of the lens in a critical position; the third lens has a positive optical power, the fifth lens has a positive optical power, the sixth lens has a negative optical power, the seventh lens has a positive optical power, the eighth lens has a relatively small optical power, and the ninth lens has a negative optical power, which is conducive to achieving the design requirements of ultra-wide angle and large image surface.

[0046] In an exemplary embodiment, the optical system according to the present application can satisfy the following: -0.1 < f6 / R12 + f9 / R17 < 1.0, where f6 is the effective focal length of the sixth lens element, f9 is the effective focal length of the ninth lens element, R12 is the radius of curvature of the image-side surface of the sixth lens element, and R17 is the radius of curvature of the object-side surface of the ninth lens element. This condition effectively controls the smoothness of the system light beam through the sixth and ninth lenses, effectively reducing aberrations and improving the final image quality.

[0047] In an exemplary embodiment, the optical system according to the present application can satisfy the following ratio: -15.0 < CT1 / SAG11 < -7.0, where CT1 is the center thickness of the first lens element on the optical axis, and SAG11 is the on-axis distance between the intersection of the object-side surface of the first lens element and the optical axis and the vertex of the effective radius of the object-side surface of the first lens element. A CT1 / SAG11 value that is too large will cause the first lens element to occupy too much space, affecting the design concept of a small head. A CT1 / SAG11 value that is too small will weaken the first lens's ability to converge light incident at large angles. Maintaining the CT1 / SAG11 value within a reasonable range facilitates a better balance in achieving module miniaturization.

[0048] In an exemplary embodiment, the optical system according to the present application satisfies the following: -4.5 < R10 / f5 + R2 / f1 < -2.5, where f1 is the effective focal length of the first lens element, f5 is the effective focal length of the fifth lens element, R2 is the radius of curvature of the image-side surface of the first lens element, and R10 is the radius of curvature of the image-side surface of the fifth lens element. A value of R10 / f5 + R2 / f1 that is too large will result in an excessively small focal length, strong light-gathering capability, and high sensitivity; a value that is too small will result in insufficient light-gathering capability. Keeping the value of the conditional expression R10 / f5 + R2 / f1 within a reasonable range helps reduce system sensitivity and achieve good processing characteristics.

[0049] In an exemplary embodiment, the optical system according to the present application can satisfy the following relationship: 0.5 < f12 / R1 < 2.0, where R1 is the radius of curvature of the object-side surface of the first lens, and f12 is the combined focal length of the first and second lenses. This condition effectively controls the deflection angle of the system light beam at the first lens, effectively reducing the system's sensitivity and achieving excellent processing characteristics.

[0050] In an exemplary embodiment, the optical system according to the present application can satisfy the following ratio: 7.0 < CT1 / |SAG11| < 15.0, where CT1 is the center thickness of the first lens element on the optical axis, and SAG11 is the on-axis distance between the intersection of the object-side surface of the first lens element and the optical axis and the vertex of the effective radius of the object-side surface of the first lens element. A CT1 / |SAG11| value that is too large will cause the first lens element to occupy too much space, affecting the design concept of a small head. A too small CT1 / |SAG11| value will weaken the first lens's ability to converge light incident at large angles. Therefore, satisfying 7.0 < CT1 / |SAG11| < 15.0 facilitates a better balance in achieving module miniaturization.

[0051] In an exemplary embodiment, the optical system according to the present application can satisfy the following: -3.0 < CT3 / SAG32 < -2.0, where CT3 is the central thickness of the third lens element on the optical axis, and SAG32 is the on-axis distance between the intersection of the image-side surface of the third lens element and the optical axis and the vertex of the effective radius of the image-side surface of the third lens element. A CT3 / SAG32 value that is too large will cause the third lens to occupy too much space, affecting the design concept of a small head. A too small CT3 / SAG32 value will weaken the third lens's ability to converge light incident at wide angles. Meeting the CT3 / SAG32 ratio of -3.0 < CT3 / SAG32 < -2.0 facilitates a better balance in achieving module miniaturization.

[0052] In an exemplary embodiment, the optical system according to the present application may satisfy the following relationship: 4.0 < CT5 / CT6 + SAG61 / SAG52 < 5.5, where CT5 is the center thickness of the fifth lens element on the optical axis, CT6 is the center thickness of the sixth lens element on the optical axis, SAG52 is the on-axis distance from the intersection of the image-side surface of the fifth lens element with the optical axis to the vertex of the effective radius of the image-side surface of the fifth lens element, and SAG61 is the on-axis distance from the intersection of the object-side surface of the sixth lens element with the optical axis to the vertex of the effective radius of the object-side surface of the sixth lens element. Excessively large values ​​of CT5 / CT6 + SAG61 / SAG52 may result in an excessively small center thickness of the sixth lens element, potentially reducing lens stability, while excessively small values ​​may result in an excessively long lens element. Meeting the requirement of 4.0 < CT5 / CT6 + SAG61 / SAG52 < 5.5 facilitates a better balance in achieving module miniaturization.

[0053] In an exemplary embodiment, the optical system according to the present application may satisfy the following: 7.5 < T56 / T45 + f / f5 < 9.5, where T45 is the air spacing between the fourth and fifth lenses on the optical axis, T56 is the air spacing between the fifth and sixth lenses on the optical axis, f6 is the effective focal length of the sixth lens, and f is the effective focal length of the optical system. This condition facilitates controlling the ratio of the gap between the fourth and fifth lenses to the gap between the fifth and sixth lenses within a certain range, effectively compensating and balancing each other, and reducing aberrations of the entire optical system.

[0054] In an exemplary embodiment, the optical system according to the present application can satisfy the following relationship: 3.0 < T89 / CT9 + SAG91 / SAG92 < 4.5, where CT9 is the center thickness of the ninth lens on the optical axis, T89 is the air spacing between the eighth and ninth lenses on the optical axis, SAG91 is the on-axis distance from the intersection of the object-side surface of the ninth lens and the optical axis to the vertex of the effective radius of the object-side surface of the ninth lens, and SAG92 is the on-axis distance from the intersection of the image-side surface of the ninth lens and the optical axis to the vertex of the effective radius of the image-side surface of the ninth lens. A value of T89 / CT9+SAG91 / SAG92 that is too large will weaken the conditioning ability of the ninth lens for incident light, while a value that is too small will cause the ninth lens to occupy too much space, affecting the arrangement of the rear-end lens assembly. Keeping this conditional expression within a reasonable range is conducive to achieving a better balance in achieving module miniaturization.

[0055] In an exemplary embodiment, the optical system according to the present application can satisfy the following condition: 0 < (R13 + R14) / (R13 - R14) < 0.5, where R13 is the radius of curvature of the object-side surface of the seventh lens element, and R14 is the radius of curvature of the image-side surface of the seventh lens element. This condition allows for a reasonable distribution of the system's optical power, resulting in good imaging quality and effectively reducing system sensitivity.

[0056] In an exemplary embodiment, the optical system according to the present application can satisfy the following conditions: 5.5 < (R16 + R17) / (R16 - R17) < 15.5, where R16 is the radius of curvature of the image-side surface of the eighth lens element, and R17 is the radius of curvature of the object-side surface of the ninth lens element. This condition of 5.5 < (R16 + R17) / (R16 - R17) < 15.5 allows for a reasonable distribution of the system's optical power, resulting in good imaging quality and effectively reducing system sensitivity.

[0057] In an exemplary embodiment, at least one of the mirror surfaces of each lens from the first lens to the ninth lens is an aspheric mirror surface. The present application does not specifically limit the specific number of spherical lenses and aspheric lenses. If the focus is on the resolution quality, all lenses can use aspheric lenses. The characteristic of an aspheric lens is that the curvature changes continuously from the center of the lens to the periphery of the lens. The characteristic of a spherical lens is that there is a constant curvature from the center of the lens to the periphery. Aspheric lenses have better curvature radius characteristics and have the advantages of improving distortion aberration and improving astigmatism aberration. After using aspheric lenses, the aberrations that occur during imaging can be eliminated as much as possible, thereby improving the imaging quality. Optionally, the object side and image side of each lens from the first lens to the ninth lens are aspheric mirror surfaces.

[0058] In an exemplary embodiment, the effective focal length f1 of the first lens can be, for example, in the range of -14.0 mm to -10.0 mm, the effective focal length f2 of the second lens can be, for example, in the range of -39640.0 mm and 131.0 mm, the effective focal length f3 of the third lens can be, for example, in the range of 7.5 mm to 13.2 mm, the effective focal length f4 of the fourth lens can be, for example, in the range of -23.0 mm to -13.5 mm, the effective focal length f5 of the fifth lens can be, for example, in the range of 5.0 mm to 6.0 mm, the effective focal length f6 of the sixth lens can be, for example, in the range of -11.5 mm to -8.0 mm, the effective focal length f7 of the seventh lens can be, for example, in the range of 5.6 mm to 6.2 mm, the effective focal length f8 of the eighth lens can be, for example, in the range of -34629 mm to 73.0 mm, and the effective focal length f9 of the ninth lens can be, for example, in the range of -5.1 mm to -3.5 mm. The effective focal length f of the optical system may be, for example, in the range of 6.0 mm to 7.0 mm. The maximum half field of view Semi-FOV of the optical system may be, for example, in the range of 60.0° to 70.0°, for example, the Semi-FOV is 65.0°.

[0059] In an exemplary embodiment, the optical system according to the present application further includes a filter for correcting color deviation and / or a protective glass for protecting a photosensitive element located on the imaging surface.

[0060] The present application proposes an optical system with characteristics such as a large field of view, a large image surface, miniaturization, and high imaging quality. The optical system according to the above-mentioned embodiment of the present application can use multiple lenses, such as the nine lenses mentioned above. By reasonably allocating the optical power, surface shape, center thickness of each lens, and the on-axis spacing between each lens, the incident light can be effectively converged, the total optical length of the optical system can be reduced, and the processability of the optical system can be improved, making the optical system more conducive to production and processing. However, it should be understood by those skilled in the art that, without departing from the technical solution claimed for protection in this application, the number of lenses constituting the optical system can be changed to obtain the various results and advantages described in this specification. For example, although nine lenses are described as an example in the embodiment, the optical system is not limited to including nine lenses. If necessary, the optical system may also include other numbers of lenses.

[0061] Specific embodiments of the optical system applicable to the above-mentioned embodiments will be further described below with reference to the accompanying drawings.

[0062] Example 1

[0063] The following reference Figures 1 to 2C An optical system according to Example 1 of the present application is described. Figure 1 A structural schematic diagram of an optical system according to Example 1 of the present application is shown.

[0064] like Figure 1 As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has positive optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being convex and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being concave and its image-side surface S12 being concave. The seventh lens element E7 has positive refractive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has positive refractive power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative refractive power, with its object-side surface S17 being concave and its image-side surface S18 being concave. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0065] Table 1 shows the basic parameters of the optical system of Example 1, wherein the units of curvature radius, thickness / distance and effective focal length are all millimeters (mm).

[0066]

[0067] Table 1

[0068] In this example, the effective focal length f of the optical system is 6.09 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0069] In Example 1, the object-side surface and the image-side surface of any lens from the first lens E1 to the ninth lens E9 are both aspherical surfaces. The surface shape x of each aspherical lens can be defined by, but is not limited to, the following aspherical surface formula:

[0070]

[0071] Wherein, x is the distance vector height of the aspheric surface from the vertex of the aspheric surface at a height of h along the optical axis; c is the paraxial curvature of the aspheric surface, c = 1 / R (i.e., the paraxial curvature c is the reciprocal of the curvature radius R in Table 1 above); k is the cone coefficient; Ai is the correction coefficient of the i-th order of the aspheric surface. Tables 2-1 and 2-2 give the high-order coefficients A4, A6, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A19, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36, A37, A 10 、A 12 、A 14 、A 16 、A 18 、A 20 、A 22 、A 24 、A 26 、A 28 and A 30 .

[0072]

[0073]

[0074] Table 2-1

[0075] Face number A18 A20 A22 A24 A26 A28 A30 S1 -1.9515E-06 -1.8670E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S2 6.4345E-06 2.7457E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S3 -1.1126E-06 -1.2312E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S4 6.2038E-07 -7.3858E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S5 6.3836E-06 -7.1062E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S6 -4.2988E-06 -2.3289E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S7 6.1785E-06 6.4241E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S8 2.4032E-06 2.0739E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S9 8.1440E-06 -5.0762E-07 -4.8226E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S10 -1.8393E-07 7.4549E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S11 2.2742E-05 2.3009E-05 3.2466E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S12 -3.7205E-05 1.3451E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S13 -4.2084E-05 -2.5019E-05 -2.0908E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S14 -3.0089E-07 -2.5806E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S15 -1.1302E-05 -1.2214E-04 -8.1635E-06 -1.2703E-06 -1.9566E-07 0.0000E+00 0.0000E+00 S16 9.4667E-05 -1.0920E-04 -1.1169E-05 -2.2887E-06 -4.5895E-07 0.0000E+00 0.0000E+00 S17 1.9120E-03 1.4902E-03 1.1801E-03 8.0622E-04 5.0538E-04 3.1473E-04 1.0175E-04 S18 1.3258E-04 1.8486E-05 -1.5860E-06 -8.8378E-08 0.0000E+00 0.0000E+00 0.0000E+00

[0076] Table 2-2

[0077] Figure 2A The axial chromatic aberration curve of the optical system of Example 1 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 2B The astigmatism curve of the optical system of Example 1 is shown, which indicates meridional field curvature and sagittal field curvature. Figure 2CThe chromatic aberration curve of the optical system of Example 1 is shown, which represents the deviation of different image heights on the imaging surface after the light passes through the lens. Figures 2A to 2C It can be seen that the optical system provided in Example 1 can achieve good imaging quality.

[0078] Example 2

[0079] The following reference Figures 3 to 4C The optical system according to Example 2 of the present application is described. In this embodiment and the following embodiments, some descriptions similar to those in Example 1 will be omitted for the sake of brevity. Figure 3 A structural schematic diagram of an optical system according to Example 2 of the present application is shown.

[0080] like Figure 3 As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has negative optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being convex and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being concave and its image-side surface S12 being concave. The seventh lens element E7 has positive refractive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has positive refractive power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative refractive power, with its object-side surface S17 being concave and its image-side surface S18 being concave. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0081] In this example, the effective focal length f of the optical system is 6.06 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0082] Table 3 shows the basic parameters of the optical system of Example 2, where the units of curvature radius, thickness / distance, and effective focal length are all in millimeters (mm). Tables 4-1 and 4-2 show the high-order coefficients of each aspheric mirror surface that can be used in Example 2, where the surface shape of each aspheric surface can be defined by formula (1) in Example 1 above.

[0083]

[0084] Table 3

[0085]

[0086]

[0087] Table 4-1

[0088] Face number A18 A20 A22 A24 A26 A28 A30 S1 -6.8431E-07 -1.5895E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S2 5.9872E-06 2.7263E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S3 -1.4696E-06 -1.1336E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S4 7.2698E-07 -5.5239E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S5 5.3592E-06 -4.8878E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S6 -1.9917E-06 -1.5993E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S7 6.6397E-06 6.4625E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S8 5.2572E-06 2.1613E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S9 1.8385E-05 -4.8419E-06 -4.8226E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S10 4.8130E-06 1.1089E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S11 1.9270E-05 2.3634E-05 3.2466E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S12 -3.0046E-05 4.9192E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S13 -2.1704E-06 -2.7839E-05 -2.0908E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S14 2.4720E-05 -9.7912E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S15 1.4634E-04 -4.6684E-05 -8.1635E-06 -1.2703E-06 -1.9566E-07 0.0000E+00 0.0000E+00 S16 2.0105E-04 -5.4669E-05 -1.1169E-05 -2.2887E-06 -4.5895E-07 0.0000E+00 0.0000E+00 S17 2.7053E-03 1.3640E-03 1.1801E-03 8.0622E-04 5.0538E-04 3.1473E-04 1.0175E-04 S18 -3.2398E-04 2.0973E-05 -1.5860E-06 -8.8378E-08 0.0000E+00 0.0000E+00 0.0000E+00

[0089] Table 4-2

[0090] Figure 4A The axial chromatic aberration curve of the optical system of Example 2 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 4B The astigmatism curve of the optical system of Example 2 is shown, which indicates meridional field curvature and sagittal field curvature. Figure 4C The chromatic aberration curve of the optical system of Example 2 is shown, which represents the deviation of different image heights on the imaging surface after the light passes through the lens. Figures 4A to 4C It can be seen that the optical system provided in Example 2 can achieve good imaging quality.

[0091] Example 3

[0092] The following reference Figures 5 to 6C An optical system according to Example 3 of the present application is described. Figure 5 A structural schematic diagram of an optical system according to Example 3 of the present application is shown.

[0093] like Figure 5 As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has positive optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being convex and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being concave and its image-side surface S12 being concave. The seventh lens element E7 has positive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has negative power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative power, with its object-side surface S17 being concave and its image-side surface S18 being concave. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0094] In this example, the effective focal length f of the optical system is 6.07 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0095] Table 5 shows the basic parameters of the optical system of Example 3, where the units of curvature radius, thickness / distance, and effective focal length are all in millimeters (mm). Tables 6-1 and 6-2 show the high-order coefficients of each aspheric mirror surface that can be used in Example 3, where the surface shape of each aspheric surface can be defined by formula (1) in Example 1 above.

[0096]

[0097] Table 5

[0098]

[0099]

[0100] Table 6-1

[0101] Face number A18 A20 A22 A24 A26 A28 A30 S1 -3.6957E-06 -2.0591E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S2 9.1786E-06 2.9986E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S3 -1.7180E-06 -1.1567E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S4 -7.1449E-07 -6.2779E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S5 5.9594E-06 -5.0491E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S6 -1.7100E-06 -1.6531E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S7 1.0840E-05 1.1071E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S8 1.0530E-05 4.6455E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S9 1.7626E-05 -2.4748E-06 -4.8226E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S10 -1.2479E-05 1.1558E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S11 -6.1467E-06 5.3118E-05 3.2466E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S12 -1.0029E-04 3.7740E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S13 -9.2569E-05 -4.5262E-05 -2.0908E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S14 9.9983E-05 7.3816E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S15 8.9707E-05 -1.0342E-04 -8.1635E-06 -1.2703E-06 -1.9566E-07 0.0000E+00 0.0000E+00 S16 1.3269E-04 -1.1512E-04 -1.1169E-05 -2.2887E-06 -4.5895E-07 0.0000E+00 0.0000E+00 S17 3.1148E-03 1.6596E-03 1.1801E-03 8.0622E-04 5.0538E-04 3.1473E-04 1.0175E-04 S18 2.0027E-04 2.5504E-05 -1.5860E-06 -8.8378E-08 0.0000E+00 0.0000E+00 0.0000E+00

[0102] Table 6-2

[0103] Figure 6A The axial chromatic aberration curve of the optical system of Example 3 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 6B The astigmatism curve of the optical system of Example 3 is shown, which indicates the meridional field curvature and the sagittal field curvature. Figure 6C The chromatic aberration curve of the optical system of Example 3 is shown, which represents the deviation of different image heights on the imaging surface after the light passes through the lens. Figures 6A to 6C It can be seen that the optical system provided in Example 3 can achieve good imaging quality.

[0104] Example 4

[0105] The following reference Figures 7 to 8C An optical system according to Example 4 of the present application is described. Figure 7 A structural schematic diagram of an optical system according to Example 4 of the present application is shown.

[0106] like Figure 7As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has positive optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being concave and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being concave and its image-side surface S12 being concave. The seventh lens element E7 has positive refractive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has positive refractive power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative refractive power, with its object-side surface S17 being concave and its image-side surface S18 being concave. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0107] In this example, the effective focal length f of the optical system is 6.09 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0108] Table 7 shows the basic parameters of the optical system of Example 4, where the units of curvature radius, thickness / distance, and effective focal length are all in millimeters (mm). Tables 8-1 and 8-2 show the high-order coefficients of each aspherical mirror surface that can be used in Example 4, where the surface shape of each aspherical surface can be defined by formula (1) in Example 1 above.

[0109]

[0110] Table 7

[0111]

[0112]

[0113] Table 8-1

[0114] Face number A18 A20 A22 A24 A26 A28 A30 S1 -1.0758E-06 -1.7297E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S2 6.6209E-06 2.9844E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S3 -1.3276E-06 -1.2861E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S4 -2.4632E-06 -8.3424E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S5 5.3188E-06 -6.9205E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S6 -4.9403E-06 -2.1346E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S7 5.5693E-06 8.1538E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S8 -3.6728E-08 1.3585E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S9 3.4466E-06 1.0778E-06 -4.8226E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S10 7.6043E-06 1.1521E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S11 1.9740E-05 3.1153E-05 3.2466E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S12 -4.6853E-05 2.0894E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S13 -4.8687E-05 -3.1131E-05 -2.0908E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S14 3.9912E-05 -1.6788E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S15 3.7795E-05 -1.0524E-04 -8.1635E-06 -1.2703E-06 -1.9566E-07 0.0000E+00 0.0000E+00 S16 1.2325E-04 -1.0557E-04 -1.1169E-05 -2.2887E-06 -4.5895E-07 0.0000E+00 0.0000E+00 S17 1.6307E-03 1.3304E-03 1.1801E-03 8.0622E-04 5.0538E-04 3.1473E-04 1.0175E-04 S18 -2.8176E-05 7.3975E-05 -1.5860E-06 -8.8378E-08 0.0000E+00 0.0000E+00 0.0000E+00

[0115] Table 8-2

[0116] Figure 8A The axial chromatic aberration curve of the optical system of Example 4 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 8B The astigmatism curve of the optical system of Example 4 is shown, which indicates the meridional field curvature and the sagittal field curvature. Figure 8C The chromatic aberration curve of the optical system of Example 4 is shown, which represents the deviation of the different image heights on the imaging surface after the light passes through the lens. Figures 8A to 8C It can be seen that the optical system provided in Example 4 can achieve good imaging quality.

[0117] Example 5

[0118] The following reference Figures 9 to 10C An optical system according to Example 5 of the present application is described. Figure 9 A structural schematic diagram of an optical system according to Example 5 of the present application is shown.

[0119] like Figure 9 As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has positive optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being convex and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being convex and its image-side surface S12 being concave. The seventh lens element E7 has positive refractive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has positive refractive power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative refractive power, with its object-side surface S17 being concave and its image-side surface S18 being concave. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0120] In this example, the effective focal length f of the optical system is 6.08 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0121] Table 9 shows the basic parameters of the optical system of Example 5, where the units of curvature radius, thickness / distance, and effective focal length are all in millimeters (mm). Tables 10-1 and 10-2 show the high-order coefficients of each aspherical mirror surface that can be used in Example 5, where the surface shape of each aspherical surface can be defined by formula (1) in Example 1 above.

[0122]

[0123] Table 9

[0124]

[0125]

[0126] Table 10-1

[0127] Face number A18 A20 A22 A24 A26 A28 A30 S1 -2.6505E-06 -2.7638E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S2 2.7975E-06 1.0974E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S3 -1.2642E-06 -1.0591E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S4 2.1942E-06 -5.4349E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S5 9.0778E-06 -4.0810E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S6 -6.3773E-06 1.0399E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S7 3.1247E-06 3.7774E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S8 1.2449E-05 5.2574E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S9 1.7731E-05 -6.9368E-06 -4.8226E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S10 1.3003E-05 1.2585E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S11 3.5564E-05 2.5367E-05 3.2466E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S12 -4.9449E-05 2.7301E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S13 -5.5813E-05 -6.9491E-06 -2.0908E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S14 1.6301E-05 -2.0358E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S15 -1.6236E-05 -1.1930E-04 -8.1635E-06 -1.2703E-06 -1.9566E-07 0.0000E+00 0.0000E+00 S16 9.4240E-05 -1.3400E-04 -1.1169E-05 -2.2887E-06 -4.5895E-07 0.0000E+00 0.0000E+00 S17 -7.2534E-04 4.6127E-04 1.1801E-03 8.0622E-04 5.0538E-04 3.1473E-04 1.0175E-04 S18 -6.0359E-04 4.6078E-04 -1.5860E-06 -8.8378E-08 0.0000E+00 0.0000E+00 0.0000E+00

[0128] Table 10-2

[0129] Figure 10A The axial chromatic aberration curve of the optical system of Example 5 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 10B The astigmatism curve of the optical system of Example 5 is shown, which indicates the meridional field curvature and the sagittal field curvature. Figure 10C The chromatic aberration curve of the optical system of Example 5 is shown, which represents the deviation of the different image heights on the imaging surface after the light passes through the lens. 10A to 10C It can be seen that the optical system provided in Example 5 can achieve good imaging quality.

[0130] Example 6

[0131] The following reference Figures 11 to 12C An optical system according to Example 6 of the present application is described. Figure 11 A structural schematic diagram of an optical system according to Example 6 of the present application is shown.

[0132] like Figure 11 As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has positive optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being convex and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being concave and its image-side surface S12 being concave. The seventh lens element E7 has positive refractive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has negative refractive power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative refractive power, with its object-side surface S17 being concave and its image-side surface S18 being convex. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0133] In this example, the effective focal length f of the optical system is 6.00 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0134] Table 11 shows the basic parameters of the optical system of Example 6, where the units of curvature radius, thickness / distance, and effective focal length are all in millimeters (mm). Tables 12-1 and 12-2 show the high-order coefficients of each aspherical mirror surface that can be used in Example 6, where the surface shape of each aspherical surface can be defined by formula (1) in Example 1 above.

[0135]

[0136] Table 11

[0137] Face number A4 A6 A8 A10 A12 A14 A16 S1 1.6463E-01 -2.2677E-02 2.1572E-03 -4.4115E-04 9.1371E-05 -1.7533E-05 1.7780E-06 S2 1.5767E-01 -6.8530E-04 1.1270E-03 -1.3234E-05 3.5993E-05 6.2377E-06 3.6221E-06 S3 -6.0615E-02 1.0769E-03 2.0277E-04 1.9518E-05 -7.3479E-06 -3.1995E-07 -4.2452E-06 S4 -7.5802E-02 4.1750E-03 -7.5015E-05 1.0257E-04 -2.7017E-05 -3.3353E-05 -4.6138E-05 S5 2.2186E-02 5.6536E-04 -7.9920E-04 1.5296E-04 9.3835E-06 -2.9052E-05 -4.2759E-05 S6 -1.9041E-02 4.6235E-03 -9.2284E-04 1.8976E-04 -7.6948E-05 1.7644E-05 -6.9645E-06 S7 -1.9634E-01 1.3249E-02 1.7110E-03 6.4726E-04 -3.1725E-04 -1.8040E-05 3.1129E-06 S8 -5.2428E-01 4.8145E-02 -4.2192E-04 8.6571E-04 -5.7476E-04 -5.8364E-05 6.1832E-06 S9 -3.8364E-01 7.1984E-02 -6.9746E-03 2.2829E-03 -2.2270E-04 6.1436E-05 -2.6544E-05 S10 -3.4587E-01 4.8142E-02 8.2037E-03 2.2986E-03 1.3080E-03 6.9407E-05 -5.9137E-05 S11 -4.6352E-01 7.5663E-02 -2.8667E-03 -1.3562E-03 9.8259E-04 8.0229E-05 5.3084E-05 S12 -3.1810E-01 1.0863E-01 -1.4838E-02 4.6245E-03 -5.7713E-04 7.8599E-04 1.4675E-04 S13 -4.0913E-01 6.5186E-02 2.1168E-03 6.2928E-03 -2.0942E-03 1.0361E-03 1.0565E-04 S14 -7.7919E-02 -2.3802E-02 1.7549E-03 2.7881E-03 -2.1953E-03 4.4692E-05 -1.7942E-04 S15 -4.8910E-01 1.7990E-02 8.5766E-03 1.6259E-02 -5.8660E-03 1.5697E-03 -2.0091E-04 S16 -4.6957E-01 3.6790E-02 -3.4858E-03 1.4516E-02 -4.3583E-03 1.8627E-03 -8.5593E-04 S17 -2.5016E-01 1.0851E-01 -5.1193E-03 1.1634E-02 1.6071E-02 -1.9605E-03 -3.4074E-03 S18 -2.1072E+00 -3.2944E-01 -1.0309E-01 -6.4219E-02 6.3544E-03 -1.7533E-02 6.7914E-03

[0138] Table 12-1

[0139] Face number A18 A20 A22 A24 A26 A28 A30 S1 -3.2007E-06 1.7587E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S2 -6.1633E-07 1.3784E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S3 -1.3324E-06 -1.4194E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S4 -5.0161E-06 -7.2142E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S5 -8.1950E-07 -7.1638E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S6 -1.8976E-06 -4.1918E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S7 1.0865E-05 -1.2879E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S8 1.8070E-05 4.3277E-06 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S9 1.2614E-05 -1.3848E-06 -4.8226E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S10 -4.0254E-05 1.9729E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S11 -1.2081E-04 6.0559E-05 3.2466E-07 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S12 -1.7266E-04 2.5873E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S13 7.4016E-06 -8.9099E-05 -2.0908E-08 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S14 1.2970E-04 1.0517E-05 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 S15 6.8138E-04 2.5885E-05 -8.1635E-06 -1.2703E-06 -1.9566E-07 0.0000E+00 0.0000E+00 S16 3.3997E-04 -6.9266E-05 -1.1169E-05 -2.2887E-06 -4.5895E-07 0.0000E+00 0.0000E+00 S17 -3.5045E-04 -5.0444E-04 1.1801E-03 8.0622E-04 5.0538E-04 3.1473E-04 1.0175E-04 S18 -2.6091E-03 1.5930E-03 -1.5860E-06 -8.8378E-08 0.0000E+00 0.0000E+00 0.0000E+00

[0140] Table 12-2

[0141] Figure 12A The axial chromatic aberration curve of the optical system of Example 6 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 12B The astigmatism curve of the optical system of Example 6 is shown, which indicates the meridional field curvature and the sagittal field curvature. Figure 12C The chromatic aberration curve of the optical system of Example 6 is shown, which represents the deviation of the different image heights on the imaging surface after the light passes through the lens. 12A to 12C It can be seen that the optical system provided in Example 6 can achieve good imaging quality.

[0142] Example 7

[0143] The following reference Figures 13 to 14C An optical system according to Example 7 of the present application is described. Figure 13 A structural schematic diagram of an optical system according to Example 7 of the present application is shown.

[0144] like Figure 13As shown, the optical system includes, from object side to image side, a first lens element E1, a second lens element E2, a third lens element E3, a fourth lens element E4, a fifth lens element E5, a sixth lens element E6, a seventh lens element E7, an eighth lens element E8, a ninth lens element E9, and an imaging surface S19. The first lens element E1 has negative optical power, with its object-side surface S1 being concave and its image-side surface S2 being concave. The second lens element E2 has positive optical power, with its object-side surface S3 being convex and its image-side surface S4 being concave. The third lens element E3 has positive optical power, with its object-side surface S5 being concave and its image-side surface S6 being convex. The fourth lens element E4 has negative optical power, with its object-side surface S7 being convex and its image-side surface S8 being concave. The fifth lens element E5 has positive optical power, with its object-side surface S9 being convex and its image-side surface S10 being convex. The sixth lens element E6 has negative optical power, with its object-side surface S11 being concave and its image-side surface S12 being concave. The seventh lens element E7 has positive refractive power, with its object-side surface S13 being convex and its image-side surface S14 being convex. The eighth lens element E8 has positive refractive power, with its object-side surface S15 being concave and its image-side surface S16 being convex. The ninth lens element E9 has negative refractive power, with its object-side surface S17 being concave and its image-side surface S18 being concave. Light from an object sequentially passes through surfaces S1 to S18 and is ultimately imaged on imaging surface S19.

[0145] In this example, the effective focal length f of the optical system is 6.67 mm, and the maximum half field of view Semi-FOV is 65.0°.

[0146] Table 13 shows the basic parameters of the optical system of Example 7, where the units of curvature radius, thickness / distance, and effective focal length are all in millimeters (mm). Tables 14-1 and 14-2 show the high-order coefficients of each aspheric mirror surface that can be used in Example 7, where the surface shape of each aspheric surface can be defined by formula (1) in Example 1 above.

[0147]

[0148]

[0149] Table 13

[0150] Face number A4 A6 A8 A10 A12 A14 A16 S1 1.6841E-01 -2.2355E-02 -6.5626E-03 -3.7274E-04 2.8871E-04 4.7885E-04 3.0161E-04 S2 1.4866E-01 5.7786E-03 -3.8365E-03 -1.1047E-03 -1.6925E-04 2.0822E-04 1.8276E-04 S3 -6.5937E-02 1.7436E-03 4.9012E-05 2.3715E-05 -8.6969E-06 1.5525E-06 -1.0899E-06 S4 -7.7303E-02 5.3200E-03 9.3797E-04 1.9823E-04 -1.9369E-05 -6.1106E-05 -7.3913E-05 S5 2.2694E-02 2.2958E-03 3.8203E-04 5.6951E-05 -3.8889E-05 -1.1071E-04 -9.1508E-05 S6 -2.4650E-02 6.0124E-03 -3.2460E-04 -1.1800E-04 5.1246E-05 -1.7713E-05 5.9889E-06 S7 -2.1244E-01 1.8690E-02 2.5728E-03 6.1849E-04 -3.3929E-04 -1.3104E-04 -4.4702E-05 S8 -5.6812E-01 4.9434E-02 1.0324E-03 7.8229E-04 -1.1768E-03 4.8648E-05 -4.1084E-04 S9 -4.1094E-01 8.2876E-02 -1.0546E-02 1.2274E-03 6.1381E-04 7.6899E-04 -3.9722E-04 S10 -3.5698E-01 4.9755E-02 1.3253E-02 2.3841E-03 2.5213E-03 1.0116E-03 1.4671E-04 S11 -4.7262E-01 8.8583E-02 -3.7642E-04 -2.4517E-03 1.4455E-03 6.0357E-04 -2.5237E-04 S12 -3.2563E-01 1.2159E-01 -2.2480E-02 1.9335E-03 -3.2700E-04 9.2045E-04 -2.5935E-04 S13 -4.6745E-01 6.4386E-02 5.7215E-03 9.5254E-03 -2.6150E-03 7.9844E-04 1.9528E-04 S14 -1.1225E-01 4.0876E-03 7.7918E-03 1.0454E-02 5.0713E-04 -1.2864E-03 -5.0982E-04 S15 -5.4768E-01 8.5799E-03 1.4044E-02 1.6480E-02 -1.4614E-05 -1.8338E-03 -1.1588E-03 S16 -4.5106E-01 1.0332E-03 1.2931E-02 1.3515E-02 3.1084E-03 1.3437E-03 1.4100E-04 S17 -3.3009E-01 4.8937E-02 -7.5382E-03 -4.0689E-03 5.9052E-04 1.2067E-03 1.5220E-04 S18 -2.5946E+00 1.6689E-01 -1.0967E-01 1.7731E-02 -4.5226E-03 1.0723E-03 -4.5356E-04

[0151] Table 14-1

[0152]

[0153]

[0154] Table 14-2

[0155] Figure 14A The axial chromatic aberration curve of the optical system of Example 7 is shown, which indicates the deviation of the convergence point of light of different wavelengths after passing through the lens. Figure 14B The astigmatism curve of the optical system of Example 7 is shown, which indicates the meridional field curvature and the sagittal field curvature. Figure 14C The chromatic aberration curve of the optical system of Example 7 is shown, which represents the deviation of the different image heights on the imaging surface after the light passes through the lens. 14A to 14C It can be seen that the optical system provided in Example 7 can achieve good imaging quality.

[0156] In summary, Examples 1 to 7 respectively satisfy the relationships shown in Table 15.

[0157] Conditional formula / Example 1 2 3 4 5 6 7 f6 / R12+f9 / R17 0.51 0.54 0.53 0.52 -0.09 0.73 0.60 CT1 / SAG11 -7.27 -9.43 -9.14 -7.13 -14.57 -8.03 -8.50 R10 / f5+R2 / f1 -2.94 -2.87 -3.00 -2.99 -4.10 -3.28 -3.34 f12 / R1 1.15 0.94 1.05 1.33 1.03 1.06 1.98 CT1 / |SAG11| 7.27 9.43 9.14 7.13 14.57 8.03 8.50 CT3 / SAG32 -2.70 -2.27 -2.19 -2.19 -2.14 -2.27 -2.07 CT5 / CT6+SAG61 / SAG52 4.98 5.07 5.00 4.79 4.65 5.00 4.44 T56 / T45+f / f5 8.94 9.20 9.27 8.85 8.40 8.66 7.73 T89 / CT9+SAG91 / SAG92 3.58 4.06 3.80 3.64 3.49 3.80 3.34 f / f89+tan(Semi-FOV) 0.77 0.77 0.60 0.78 0.75 0.84 0.58 (R13+R14) / (R13-R14) 0.13 0.13 0.22 0.13 0.00 0.12 0.48 (R16+R17) / (R16-R17) 5.97 6.90 6.58 5.94 6.32 6.71 15.39 f6 / CT6+f7 / CT7 -21.92 -22.44 -25.63 -20.20 -31.56 -27.39 -28.25 f12(mm) -12.1193 -10.4230 -11.3587 -13.7447 -11.9330 -11.4250 -21.8574 f89(mm) -4.4437 -4.4047 -3.9377 -4.4588 -4.3511 -4.6169 -4.2709 SAG11(mm) -0.0413 -0.0318 -0.0328 -0.0421 -0.0206 -0.0373 -0.0353 SAG32(mm) -0.2346 -0.2870 -0.2989 -0.2844 -0.3058 -0.2829 -0.2618 SAG61(mm) -0.5477 -0.6057 -0.5783 -0.5868 -0.4112 -0.5146 -0.5742 SAG52(mm) -0.5246 -0.5613 -0.5490 -0.5608 -0.4236 -0.5009 -0.5475 SAG91(mm) -2.6137 -2.7615 -2.7499 -2.6795 -2.7016 -2.8075 -2.8265 SAG92(mm) -1.4839 -1.6102 -1.5637 -1.5179 -1.5411 -1.8271 -1.7157

[0158] Table 15

[0159] The present application also provides an imaging device, wherein the electronic photosensitive element thereof may be a charge coupled device (CCD) or a complementary metal oxide semiconductor (CMOS). The imaging device may be a standalone imaging device such as a digital camera, or an imaging module integrated into a mobile electronic device such as a mobile phone. The imaging device is equipped with the optical system described above.

[0160] The above description is merely a preferred embodiment of the present application and an illustration of the technical principles employed. Those skilled in the art should understand that the scope of the invention herein is not limited to the technical solutions formed by the specific combination of the above-mentioned technical features, but also encompasses other technical solutions formed by any combination of the above-mentioned technical features or their equivalents without departing from the inventive concept. For example, a technical solution formed by replacing the above-mentioned features with (but not limited to) technical features having similar functions disclosed in this application.

Claims

1. An optical system, characterized in that Along the optical axis from the object side to the image side, it includes: The first lens has a negative optical power, and its object-side surface is concave and its image-side surface is concave; a second lens having optical power, wherein the object-side surface is convex and the image-side surface is concave; a third lens element having positive optical power and a convex image-side surface; a fourth lens element having negative optical power, the object-side surface of which is convex and the image-side surface of which is concave; a fifth lens element having positive optical power, with a convex object-side surface and a convex image-side surface; a sixth lens element having negative optical power and a concave image-side surface; The seventh lens element has positive refractive power, and its object-side surface is convex and its image-side surface is convex; an eighth lens element having optical power, the object-side surface of which is concave and the image-side surface of which is convex; and a ninth lens element having negative optical power and a concave object-side surface; The number of lenses having optical power in the optical system is nine; The maximum half field of view Semi-FOV of the optical system, the effective focal length f of the optical system, and the combined focal length f89 of the eighth lens and the ninth lens satisfy the following conditions: 0.58≤f / f89+tan(Semi-FOV)≤0.84; and The effective focal length f6 of the sixth lens, the effective focal length f7 of the seventh lens, the center thickness CT6 of the sixth lens on the optical axis, and the center thickness CT7 of the seventh lens on the optical axis satisfy the following: -31.56≤f6 / CT6+f7 / CT7≤-20.

20.

2. The optical system according to claim 1, wherein The effective focal length f6 of the sixth lens, the effective focal length f9 of the ninth lens, the curvature radius R12 of the image side surface of the sixth lens, and the curvature radius R17 of the object side surface of the ninth lens satisfy: -0.1<f6 / R12+f9 / R17≤0.

73.

3. The optical system according to claim 1, wherein: A center thickness CT1 of the first lens on the optical axis and an on-axis distance SAG11 between an intersection of the object-side surface of the first lens and the optical axis and a vertex of an effective radius of the object-side surface of the first lens satisfy: -14.57≤CT1 / SAG11≤-7.

13.

4. The optical system according to claim 1, wherein: The effective focal length f1 of the first lens, the effective focal length f5 of the fifth lens, the curvature radius R2 of the image side surface of the first lens, and the curvature radius R10 of the image side surface of the fifth lens satisfy: -4.10≤R10 / f5+R2 / f1≤-2.

87.

5. The optical system according to claim 1, wherein A curvature radius R1 of the object-side surface of the first lens and a combined focal length f12 of the first lens and the second lens satisfy the following conditions: 0.94≤f12 / R1<2.

0.

6. The optical system according to claim 1, wherein: A center thickness CT1 of the first lens on the optical axis and an on-axis distance SAG11 between an intersection of the object-side surface of the first lens and the optical axis and a vertex of an effective radius of the object-side surface of the first lens satisfy: 7.13≤CT1 / |SAG11|≤14.

57.

7. The optical system according to claim 1, wherein: A center thickness CT3 of the third lens on the optical axis and an on-axis distance SAG32 between an intersection of the image side surface of the third lens and the optical axis and a vertex of an effective radius of the image side surface of the third lens satisfy: -2.70≤CT3 / SAG32≤-2.

07.

8. The optical system according to claim 1, wherein: The center thickness CT5 of the fifth lens on the optical axis, the center thickness CT6 of the sixth lens on the optical axis, the on-axis distance SAG52 between the intersection of the image side surface of the fifth lens and the optical axis and the effective radius vertex of the image side surface of the fifth lens, and the on-axis distance SAG61 between the intersection of the object side surface of the sixth lens and the optical axis and the effective radius vertex of the object side surface of the sixth lens satisfy: 4.44≤CT5 / CT6+SAG61 / SAG52≤5.

07.

9. The optical system according to claim 1, wherein: An air gap T45 between the fourth lens and the fifth lens on the optical axis, an air gap T56 between the fifth lens and the sixth lens on the optical axis, an effective focal length f6 of the sixth lens, and an effective focal length f of the optical system satisfy the following: 7.73≤T56 / T45+f / f5≤9.

27.

10. The optical system according to claim 1, wherein: The center thickness CT9 of the ninth lens on the optical axis, the air gap T89 between the eighth lens and the ninth lens on the optical axis, the on-axis distance SAG91 between the intersection of the object side surface of the ninth lens and the optical axis and the vertex of the effective radius of the object side surface of the ninth lens, and the on-axis distance SAG92 between the intersection of the image side surface of the ninth lens and the optical axis and the vertex of the effective radius of the image side surface of the ninth lens satisfy the following: 3.34≤T89 / CT9+SAG91 / SAG92≤4.

06.

11. The optical system according to any one of claims 1 to 10, wherein: A curvature radius R13 of the object-side surface of the seventh lens and a curvature radius R14 of the image-side surface of the seventh lens satisfy: 0≤(R13+R14) / (R13-R14)<0.

5.

12. The optical system according to any one of claims 1 to 10, wherein: A curvature radius R16 of the image-side surface of the eighth lens and a curvature radius R17 of the object-side surface of the ninth lens satisfy: 5.94≤(R16+R17) / (R16-R17)≤15.39.

Images