An optical system

Abstract

The application relates to an optical system which comprises, in sequence from the object side to the image side along the optical axis direction, a lens group, a diaphragm and an imaging lens; the lens group comprises a first lens group with positive refractive power and a second lens group with positive refractive power, wherein the first lens group comprises five lenses, the second lens group comprises eight lenses, the first lens and the second lens are cemented, the third lens and the fourth lens are cemented, the optical system satisfies 3.88<=F34 / F12<=7.10 and -3.65<F78 / (CT7+CT8)<-2.95; wherein F34 is the combined focal length of the third lens and the fourth lens, F12 is the combined focal length of the first lens and the second lens, F78 is the combined focal length of the seventh lens and the eighth lens, CT7 is the central thickness of the seventh lens on the optical axis, and CT8 is the central thickness of the eighth lens on the optical axis.

Description

[0001] Divisional application This application is a divisional application of Chinese invention patent application filed on November 21, 2025, entitled "An Optical System" and with application number 202511715501.2. Technical Field

[0002] This invention relates to the field of optical device technology, and in particular to an optical system. Background Technology

[0003] With the rapid development of mobile communication technology and the widespread use of smartphones, mobile phone photography has become a primary way for people to record their lives and create content. Users are placing increasingly higher demands on the image quality, zoom capabilities, and creative freedom of mobile phone photography. Built-in telephoto lenses, limited by size, suffer from problems such as short focal length, small aperture, and insufficient aberration correction, resulting in poor image quality. There is an urgent need for an external lens accessory that can work in conjunction with the high-quality native lenses of mobile phones, significantly improving the optical focal length while ensuring extremely high image quality, thus significantly enhancing both focal length and image quality while maintaining portability.

[0004] While existing miniaturized external telephoto lenses can guarantee telephoto performance, their image quality is poor. This is because, in the process of miniaturizing the design, external telephoto lenses cannot guarantee sufficient working distance at the rear of the lens, making aberration correction more difficult. In actual use, they cannot meet users' image quality requirements for telephoto images, making it difficult for external telephoto lenses to be effectively promoted. Summary of the Invention

[0005] This application provides an optical system comprising, sequentially from the object side to the image side along the optical axis, a lens group, an aperture stop, and an imaging lens; the lens group includes: a first lens group having positive optical power and a second lens group having positive optical power; wherein, the first lens group has positive optical power, and the number of lenses having optical power in the first lens group is five, including: a first lens having positive optical power, the object side of the first lens being convex; a second lens having positive or negative optical power; a third lens having positive or negative optical power; a fourth lens having positive or negative optical power; and a fifth lens having positive or negative optical power; the second lens group has positive optical power, and the number of lenses having optical power in the second lens group is at least seven, including: a sixth lens having positive optical power. A seventh lens having positive optical power, the object side of the seventh lens being convex; an eighth lens having positive or negative optical power; a ninth lens having positive or negative optical power, the object side of the ninth lens being concave; a tenth lens having positive or negative optical power; an eleventh lens having positive or negative optical power; a twelfth lens having positive or negative optical power; and satisfying: 1.95≤FG1 / f1≤7.44; 0.65<TDG1 / T56<2.00; where FG1 is the combined focal length of the first lens group, f1 is the effective focal length of the first lens, TDG1 is the distance on the optical axis from the object side of the first lens to the image side of the fifth lens, and T56 is the air gap on the optical axis between the fifth lens and the sixth lens.

[0006] In some embodiments, the optical system further satisfies: 0.89≤∑CTG2 / ∑CTG1≤2.25; where ∑CTG2 is the sum of the center thicknesses of all lenses in the second lens group on the optical axis, and ∑CTG1 is the sum of the center thicknesses of all lenses in the first lens group on the optical axis.

[0007] In some embodiments, the optical system further satisfies: -4.05 ≤ f / FG2 ≤ -0.24; where f is the effective focal length of the optical system and FG2 is the combined focal length of the second lens group.

[0008] In some embodiments, the optical system further satisfies: 1.10 < f6 / |f12| < 5.15; where f6 is the effective focal length of the sixth lens and f12 is the effective focal length of the twelfth lens.

[0009] In some embodiments, the optical system further satisfies: -3.85≤f11 / f10≤-0.85; where f11 is the effective focal length of the eleventh lens and f10 is the effective focal length of the tenth lens.

[0010] In some embodiments, the optical system further satisfies: 1.10≤R1 / |R10|≤2.53; where R1 is the radius of curvature of the object side of the first lens and R10 is the radius of curvature of the image side of the fifth lens.

[0011] In some embodiments, the second lens group comprises seven lenses with optical power; wherein: the object-side surface of the sixth lens is convex and the image-side surface is concave; the image-side surface of the seventh lens is convex; the eighth lens has negative optical power, and both its object-side and image-side surfaces are concave; the ninth lens has positive optical power, and both its image-side surface is convex; the tenth lens has negative optical power, and both its object-side and image-side surfaces are concave; the eleventh lens has positive optical power, and both its object-side and image-side surfaces are convex; the twelfth lens has positive optical power, and both its object-side and image-side surfaces are convex.

[0012] In some embodiments, the first lens and the second lens are cemented together, and the optical system further satisfies: 8.83≤F12 / (CT1+CT2)≤16.28; where F12 is the combined focal length of the first lens and the second lens, CT1 is the center thickness of the first lens on the optical axis, and CT2 is the center thickness of the second lens on the optical axis.

[0013] In some embodiments, the third lens and the fourth lens are cemented together, and the optical system further satisfies: -14.60≤F34 / T45≤-10.34; where F34 is the combined focal length of the third lens and the fourth lens, and T45 is the air gap between the fourth lens and the fifth lens on the optical axis.

[0014] In some embodiments, the optical system further satisfies: -4.80 < f9 / F78 < -3.35; where f9 is the effective focal length of the ninth lens, and F78 is the combined focal length of the seventh lens and the eighth lens.

[0015] In some embodiments, the optical system further satisfies: -2.25 < (R19 + R22) / F1011 < -1.80; where R19 is the radius of curvature of the object side of the tenth lens, R22 is the radius of curvature of the image side of the eleventh lens, and F1011 is the combined focal length of the tenth and eleventh lenses.

[0016] In some embodiments, the optical system further satisfies: 3.48≤FG2 / CT9≤4.30; where FG2 is the combined focal length of the second lens group, and CT9 is the center thickness of the ninth lens on the optical axis.

[0017] In some embodiments, the second lens group comprises eight lenses with optical power, wherein: the object-side surface of the sixth lens is convex and the image-side surface is convex; the image-side surface of the seventh lens is convex; the eighth lens has negative optical power, and both its object-side surface and image-side surface are concave; the ninth lens has negative optical power, and its image-side surface is concave; the tenth lens has positive optical power, and both its object-side surface and image-side surface are convex; the eleventh lens has negative optical power, and both its object-side surface and image-side surface are convex; the twelfth lens has positive optical power, and both its object-side surface and image-side surface are convex; the thirteenth lens has positive optical power, and both its object-side surface and image-side surface are convex.

[0018] In some embodiments, the first lens is cemented with the second lens, and the third lens is cemented with the fourth lens. The optical system also satisfies: 3.88≤F34 / F12≤7.10; where F34 is the combined focal length of the third lens and the fourth lens, and F12 is the combined focal length of the first lens and the second lens.

[0019] In some embodiments, the optical system further satisfies: -3.65 < F78 / (CT7 + CT8) < -2.95; where F78 is the combined focal length of the seventh lens and the eighth lens, CT7 is the center thickness of the seventh lens on the optical axis, and CT8 is the center thickness of the eighth lens on the optical axis.

[0020] In some embodiments, the optical system further satisfies: 3.15 < F1112 / T1213 < 3.45; where F1112 is the combined focal length of the eleventh lens and the twelfth lens, and T1213 is the air gap between the twelfth lens and the thirteenth lens on the optical axis.

[0021] In some embodiments, the optical system further satisfies: -6.75≤|F910| / (R17+R20)≤-2.09; where F910 is the combined focal length of the ninth lens and the tenth lens, R17 is the radius of curvature of the object-side surface of the ninth lens, and R20 is the radius of curvature of the image-side surface of the tenth lens.

[0022] In some embodiments, the optical system further satisfies: 12.98mm≤f13 / N13≤15.16mm; where f13 is the effective focal length of the thirteenth lens and N13 is the refractive index of the thirteenth lens.

[0023] In some embodiments, the optical system further satisfies: 1.10≤(CT9+CT10) / (CT11+CT12)≤2.23; where CT9 is the center thickness of the ninth lens on the optical axis, CT10 is the center thickness of the tenth lens on the optical axis, CT11 is the center thickness of the eleventh lens on the optical axis, and CT12 is the center thickness of the twelfth lens on the optical axis.

[0024] In some embodiments, the optical system further satisfies: 0.34≤TDG2 / |F910|≤1.20; where TDG2 is the distance on the optical axis from the object side of the sixth lens to the image side of the thirteenth lens, and F910 is the combined focal length of the ninth lens and the tenth lens.

[0025] In some embodiments, the second lens group comprises ten lenses with optical power, wherein: the image-side surface of the sixth lens is convex; the image-side surface of the seventh lens is concave; the eighth lens has positive optical power, and both its object-side and image-side surfaces are convex; the ninth lens has negative optical power, and its image-side surface is concave; the tenth lens has positive optical power, and both its object-side and image-side surfaces are concave; the eleventh lens has negative optical power, and both its object-side and image-side surfaces are concave; the twelfth lens has negative optical power, and both its object-side and image-side surfaces are concave; the thirteenth lens has positive optical power, and both its object-side and image-side surfaces are convex; the fourteenth lens has positive optical power, and both its object-side and image-side surfaces are convex; and the fifteenth lens has positive optical power, and its object-side surface is convex.

[0026] In some embodiments, the optical system satisfies: -8.90≤(f6+f7) / F89≤-4.46; where f6 is the effective focal length of the sixth lens, f7 is the effective focal length of the seventh lens, and F89 is the combined focal length of the eighth and ninth lenses.

[0027] In some embodiments, the second lens and the third lens are cemented together, and the fourth lens and the fifth lens are cemented together, and the optical system satisfies: 0.80 < (F23 + F45) / (F23 - F45) < 1.25; where F23 is the combined focal length of the second lens and the third lens, and F45 is the combined focal length of the fourth lens and the fifth lens.

[0028] In some embodiments, the optical system satisfies: 4.00≤TDG2 / T1314≤4.80; where TDG2 is the distance on the optical axis from the object side of the sixth lens to the image side of the fifteenth lens, and T1314 is the air gap on the optical axis between the thirteenth lens and the fourteenth lens.

[0029] In some embodiments, the optical system satisfies: 1.48≤F1011 / (V10+V11)≤3.55; where F1011 is the combined focal length of the tenth lens and the eleventh lens, V10 is the Abbe number of the tenth lens, and V11 is the Abbe number of the eleventh lens.

[0030] In some embodiments, the optical system satisfies: 1.15 < f14 / F1213 < 1.70; where f14 is the effective focal length of the fourteenth lens, and F1213 is the combined focal length of the twelfth and thirteenth lenses.

[0031] In some embodiments, the optical system satisfies: 13.11≤f15 / CT15≤16.94; where f15 is the effective focal length of the fifteenth lens and CT15 is the center thickness of the fifteenth lens on the optical axis.

[0032] In summary, by rationally configuring this optical system, and by using 1.95≤FG1 / f1≤7.44 and 0.65<TDG1 / T56<2.00, the system achieves excellent overall performance in terms of long focal length, high image quality, miniaturization, and environmental adaptability. The lower limits of FG1 / f1 and TDG1 / T56 ensure that the optical system has sufficient light-gathering capability, laying the foundation for long focal length design, while also ensuring sufficient back working distance, leaving design margin for aberration correction; the upper limits of FG1 / f1 and TDG1 / T56 suppress excessive optical power of the first lens, thereby effectively correcting advanced spherical aberration and reducing system sensitivity, while constraining the front group volume, avoiding system redundancy, facilitating compactness, and reserving a safety margin for thermal expansion of the lens spacing, ensuring environmental stability. Attached Figure Description

[0033] Figure 1 This is a schematic diagram of the structural parameters of an optical system according to one embodiment of this application; Figure 2 This is a schematic diagram of the structure of an optical system according to Embodiment 1 of this application; Figures 3A-3C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 1 of this application. Figure 4 This is a schematic diagram of the optical system according to Embodiment 2 of this application; Figures 5A-5C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 2 of this application. Figure 6 This is a schematic diagram of the optical system according to Embodiment 3 of this application; Figures 7A-7C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 3 of this application. Figure 8 This is a schematic diagram of the structure of the optical system according to Embodiment 4 of this application; Figures 9A-9C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 4 of this application. Figure 10 This is a schematic diagram of the optical system according to Embodiment 5 of this application; Figures 11A-11C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 5 of this application. Figure 12 This is a schematic diagram of the structure of an optical system according to Embodiment Six of this application; Figures 13A-13C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment Six of this application. Figure 14 This is a schematic diagram of the optical system according to Embodiment Seven of this application; Figures 15A-15C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 7 of this application. Figure 16 This is a schematic diagram of the optical system according to Embodiment 8 of this application; Figures 17A-17C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 8 of this application. Figure 18 This is a schematic diagram of the structure of the optical system according to Embodiment Nine of this application; Figures 19A-19C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 9 of this application. Figure 20 This is a schematic diagram of the structure of an optical system according to Embodiment 10 of this application; Figures 21A-21C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment 10 of this application. Figure 22 This is a schematic diagram of the optical system according to Embodiment Eleven of this application; Figures 23A-23C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment Eleven of this application. Figure 24 This is a schematic diagram of the structure of the optical system according to Embodiment Twelve of this application; Figures 25A-25C These are schematic diagrams of on-axis chromatic aberration curves, astigmatism curves, and distortion curves of an optical system according to Embodiment Twelve of this application.

[0034] Reference numerals: 10, Lens group; G1, First lens group; G2, Second lens group; E1, First lens; E2, Second lens; E3, Third lens; E4, Fourth lens; E5, Fifth lens; E6, Sixth lens; E7, Seventh lens; E8, Eighth lens; E9, Ninth lens; E10, Tenth lens; E11, Eleventh lens; E12, Twelfth lens; E13, Thirteenth lens; E14, Fourteenth lens; E15, Fifteenth lens; 20, Imaging lens. Detailed Implementation

[0035] To better understand this application, various aspects of this application will be described in more detail with reference to the accompanying drawings. It should be understood that these detailed descriptions are merely illustrative of exemplary embodiments of this application and are not intended to limit the scope of this 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.

[0036] It should be noted that in this specification, the terms "first," "second," "third," etc., are used only to distinguish one feature from another and do not imply any limitation on the features. Therefore, without departing from the teachings of this application, the first lens discussed below may also be referred to as the second lens or the third lens.

[0037] In the accompanying drawings, the thickness, size, and shape of the lenses have been slightly exaggerated for ease of illustration. Specifically, the shapes of the spherical or aspherical surfaces shown in the drawings are illustrated by way of example. That is, the shapes of the spherical or aspherical surfaces are not limited to those shown in the drawings. The drawings are for illustrative purposes only and are not strictly to scale.

[0038] In this paper, the paraxial region refers to the area near the optical axis. If the lens surface is convex and its location is not defined, it means that the lens surface is convex at least in the paraxial region; if the lens surface is concave and its location is not defined, it means that the lens surface is concave at least in the paraxial region. The surface shape in the paraxial region can be determined based on the sign of the R value (R refers to the radius of curvature of the paraxial region). For the object side, a positive R value indicates a convex surface, and a negative R value indicates a concave surface; for the image side, a positive R value indicates a concave surface, and a negative R value indicates a convex surface.

[0039] It should also be understood that the terms "comprising," "including," "having," "containing," and / or "comprising," when used in this specification, indicate the presence of the stated features, elements, and / or components, but do not exclude the presence or addition of one or more other features, elements, components, and / or combinations thereof. Furthermore, when expressions such as "at least one of..." appear after a list of listed features, they modify the entire list of features, not individual elements in the list. Additionally, when describing embodiments of this application, the word "may" is used to mean "one or more embodiments of this application." And the term "exemplary" is intended to refer to an example or illustration.

[0040] Unless otherwise specified, all terms used herein (including technical and scientific terms) shall have the same meaning as commonly understood by one of ordinary skill in the art to which this application pertains. It should also be understood that terms (e.g., those defined in common dictionaries) shall be interpreted as having a meaning consistent with their meaning in the context of the relevant art and shall not be interpreted in an idealized or overly formalized sense, unless expressly so specified herein.

[0041] It should be noted that, unless otherwise specified, the embodiments and features described in these embodiments can be combined with each other. The following embodiments merely illustrate several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of this application. It should be pointed out that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. This application will now be described in detail with reference to the accompanying drawings and embodiments.

[0042] Please see Figure 1 , Figure 1 This is a schematic diagram of the optical system in one embodiment of the present application.

[0043] According to one aspect of this application, an optical system is provided, comprising, sequentially from the object side to the image side along the optical axis, a lens group, an aperture stop, and an imaging lens 20; the lens group includes a first lens group G1 and a second lens group G2, wherein: the first lens group G1 has positive optical power, and the number of lenses with optical power in the first lens group G1 is five, including: a first lens E1 with positive optical power, the object side of the first lens E1 being convex; a second lens E2 with positive or negative optical power; a third lens E3 with positive or negative optical power; a fourth lens E4 with positive or negative optical power; and a fifth lens E5 with positive or negative optical power; the second lens group G2 has positive optical power, and the number of lenses with optical power in the second lens group G2 is at least seven, including: a sixth lens E6 with positive optical power; and a fifth lens E5 with positive optical power. The optical system comprises: a seventh lens E7 with a convex object-side surface; an eighth lens E8 with either positive or negative optical power; a ninth lens E9 with either positive or negative optical power, the object-side surface of which is concave; a tenth lens E10 with either positive or negative optical power; an eleventh lens E11 with either positive or negative optical power; and a twelfth lens E12 with either positive or negative optical power. The optical system also satisfies the following: 1.95 ≤ FG1 / f1 ≤ 7.44; 0.65 < TDG1 / T56 < 2.00; where FG1 is the combined focal length of the first lens group G1, f1 is the effective focal length of the first lens E1, TDG1 is the distance on the optical axis from the object-side surface of the first lens E1 to the image-side surface of the fifth lens E5, and T56 is the air gap on the optical axis between the fifth lens E5 and the sixth lens E6.

[0044] In summary, by rationally configuring this optical system, and by using 1.95≤FG1 / f1≤7.44 and 0.65<TDG1 / T56<2.00, the system achieves excellent overall performance in terms of long focal length, high image quality, miniaturization, and environmental adaptability. The lower limits of FG1 / f1 and TDG1 / T56 ensure that the optical system has sufficient light-gathering capability, laying the foundation for long focal length design, while also ensuring sufficient back working distance, leaving design margin for aberration correction; the upper limits of FG1 / f1 and TDG1 / T56 suppress excessive optical power of the first lens E1, thereby effectively correcting advanced spherical aberration and reducing system sensitivity, while constraining the front group volume, avoiding system redundancy, facilitating compactness, and reserving a safety margin for thermal expansion of the lens spacing, ensuring environmental stability.

[0045] In some embodiments, the optical system further satisfies: 0.89 ≤ ∑CTG2 / ∑CTG1 ≤ 2.25; where ∑CTG2 is the sum of the center thicknesses of all lenses in the second lens group G2 along the optical axis, and ∑CTG1 is the sum of the center thicknesses of all lenses in the first lens group G1 along the optical axis. By reasonably controlling the range of this conditional expression, high system performance can be achieved through the allocation of optical path resources. The lower limit of the conditional expression ensures that the second lens group G2 has sufficient thickness, providing a physical basis for using special materials and correcting higher-order aberrations (such as field curvature and chromatic aberration), significantly improving edge image quality and resolution; the upper limit constrains the volume of the rear group, avoiding system redundancy, ensuring optical power balance, and suppressing off-axis aberrations. This ratio also optimizes the thermal inertia matching of the front and rear groups, reduces temperature drift, enhances environmental stability and production yield, and is key to achieving high image quality, low sensitivity, and high reliability.

[0046] In some embodiments, the optical system further satisfies: -4.05 ≤ f / FG2 ≤ -0.24; where f is the effective focal length of the optical system, and FG2 is the combined focal length of the second lens group G2. Reasonably controlling this conditional range is key to achieving ultra-long focal length and high image quality, forming a retro-focus structure with the front group, thereby greatly extending the focal length within a finite total length. The upper limit of this ratio constrains the negative optical power intensity of the second lens group G2, preventing it from excessively weakening the total optical power of the system and ensuring the effectiveness of the focal length extension; the lower limit suppresses excessively weak negative optical power of the second lens group G2, ensuring sufficient back working distance and providing degrees of freedom for aberration correction (such as field curvature and distortion). This significantly improves the long-focal-length resolution and system compactness.

[0047] In some embodiments, the optical system further satisfies: 1.10 < f6 / |f12| < 5.15; where f6 is the effective focal length of the sixth lens E6 and f12 is the effective focal length of the twelfth lens E12. By reasonably controlling this conditional range, the lower limit of this ratio ensures that the sixth lens E6 has sufficient optical power to effectively converge light from the front group, providing conditions for forming an intermediate real image plane or optimizing the aperture stop position, while suppressing excessive optical power in the twelfth lens E12 to prevent it from introducing excessive field curvature and distortion. Its upper limit provides the twelfth lens E12 with the necessary optical power intensity, enabling it to fully correct residual axial chromatic aberration and higher-order spherical aberrations in the system, especially those generated by the front and intermediate groups, and effectively smooth out image plane curvature (Petzwald and Petzwald), thereby comprehensively improving the sharpness and contrast of the entire image. Furthermore, this balance also optimizes the principal ray incident angle, ensuring optimal matching and interface compatibility with the phone's native camera module.

[0048] In some embodiments, the optical system further satisfies: -3.85 ≤ f11 / f10 ≤ -0.85; where f11 is the effective focal length of the eleventh lens E11, and f10 is the effective focal length of the tenth lens E10. Reasonably controlling the range of this conditional expression indicates that the optical powers of the tenth lens E10 and the eleventh lens E11 have opposite signs, forming an aberration-correcting pair. The lower limit of the conditional expression constrains the optical power intensity of the eleventh lens E11, preventing it from becoming too strong and introducing excessive field curvature and distortion, and ensuring that the paired optical power is sufficient to effectively correct axial chromatic aberration. The upper limit of the conditional expression ensures that the eleventh lens E11 has sufficiently strong optical power to fully counteract the positive spherical aberration and Peyswald sum generated by the tenth lens E10, thereby significantly improving the modulation transfer function performance at the system center and edges, achieving high resolution across the entire domain. This optimizes the principal ray incident angle, reduces the system's sensitivity to tolerance and temperature changes, and is one of the core design features for improving system mass production and environmental stability.

[0049] In some embodiments, the optical system further satisfies: 1.10 ≤ R1 / |R10| ≤ 2.53; where R1 is the radius of curvature of the object-side surface of the first lens E1, and R10 is the radius of curvature of the image-side surface of the fifth lens E5. By reasonably controlling the range of this condition, the lower limit ensures that the object-side surface of the first lens E1 has a relatively gentle curvature. This not only helps to expand the receiving field of view but also effectively reduces high-order spherical aberration and coma caused by large-angle incident light, while significantly reducing sensitivity to installation tolerances (such as eccentricity) and improving production yield. The upper limit restricts R1, preventing the object-side surface of the first lens E1 from being too flat, thus ensuring that the first lens E1 has sufficiently strong positive optical power, laying a solid foundation for the entire system to achieve a long focal length. Simultaneously, it optimizes the state of light leaving the first lens group G1, creating ideal light incident conditions for the subsequent efficient aberration correction of the second lens group G2, and avoiding premature accumulation of off-axis aberrations (such as astigmatism).

[0050] In some embodiments (Embodiments 1 to 4), the second lens group G2 has seven lenses with optical power; wherein: the object-side surface of the sixth lens E6 is convex and the image-side surface is concave; the image-side surface of the seventh lens E7 is convex; the eighth lens E8 has negative optical power, and both its object-side and image-side surfaces are concave; the ninth lens E9 has positive optical power, and its image-side surface is convex; the tenth lens E10 has negative optical power, and both its object-side and image-side surfaces are concave; the eleventh lens E11 has positive optical power, and both its object-side and image-side surfaces are convex; the twelfth lens E12 has positive optical power, and both its object-side and image-side surfaces are convex. This second lens group G2 employs a seven-lens configuration, and through optimized combination of optical power and surface shape, constitutes a high-performance aberration correction module. The sixth lens E6 and the seventh lens E7 initially converge the light; the eighth lens E8, the tenth lens E10, and the ninth lens E9 form a "negative-positive-negative" symmetrical structure, which efficiently corrects axial chromatic aberration, advanced spherical aberration, distortion, and magnification chromatic aberration, and significantly smooths the image plane; the eleventh lens E11 and the twelfth lens E12 (biconvex, positive optical power) serve as optical power output terminals, accurately converging the corrected light, greatly improving the modulation transfer function performance and relative illumination, and achieving perfect pupil matching with the mobile phone sensor, ensuring high resolution, high contrast imaging, and excellent compatibility across the entire field of view.

[0051] In some embodiments, the first lens E1 and the second lens E2 are cemented together, and the optical system further satisfies: 8.83 ≤ F12 / (CT1+CT2) ≤ 16.28; where F12 is the combined focal length of the first lens E1 and the second lens E2, CT1 is the center thickness of the first lens E1 on the optical axis, and CT2 is the center thickness of the second lens E2 on the optical axis. Reasonably controlling this conditional range provides a balance between the optical performance and structural reliability of the core cemented assembly. Its lower limit ensures that the cemented assembly possesses sufficiently strong positive optical power, laying the foundation for the system to achieve long focal lengths and high resolution, while constraining the physical thickness to avoid excessive advanced spherical aberration. The upper limit ensures that the first lens E1 and the second lens E2 have sufficient mechanical thickness, which makes it possible to grind highly curved surfaces to efficiently correct spherical and coma aberrations, and significantly reduces the system's tolerance sensitivity. More importantly, sufficient lens thickness greatly enhances the structural strength and thermal stability of the cemented surface, effectively preventing the risk of delamination and suppressing thermally induced focus drift, thereby ensuring the long-term operational reliability and imaging consistency of the components under various environments.

[0052] In some embodiments, the third lens E3 and the fourth lens E4 are cemented together, and the optical system further satisfies: -14.60 ≤ F34 / T45 ≤ -10.34; where F34 is the combined focal length of the third lens E3 and the fourth lens E4, and T45 is the air gap between the fourth lens E4 and the fifth lens E5 on the optical axis. Reasonably controlling this conditional range coordinates the effectiveness of the negative optical power cemented group and the subsequent air gap. Its negative value indicates that the cemented group is used to diverge light; the upper limit constrains its negative optical power intensity to prevent excessive deterioration of astigmatism and field curvature; the lower limit ensures it has sufficient intensity to strongly correct axial chromatic aberration and higher-order spherical aberration generated by the preceding group. Simultaneously, it effectively eliminates thermal stress on the cemented component and adjacent lenses during temperature changes, ensuring the imaging stability and structural reliability of the lens in a wide temperature range. This is a core design principle for achieving high-precision aberration balance and environmental adaptability.

[0053] In some embodiments, the optical system further satisfies: -4.80 < f9 / F78 < -3.35; where f9 is the effective focal length of the ninth lens E9, and F78 is the combined focal length of the seventh lens E7 and the eighth lens E8. By reasonably controlling the range of this conditional expression, the upper limit constrains the positive optical power intensity of the ninth lens E9 to prevent it from excessively converging light and introducing higher-order spherical aberrations; the lower limit ensures that the combined lens of the seventh lens E7 and the eighth lens E8 has sufficiently strong negative optical power to effectively correct the axial chromatic aberration and field curvature generated by the previous lens group. This ratio also optimizes the optical path transition between lenses, significantly reduces the system's sensitivity to tolerance and temperature changes, and comprehensively improves imaging resolution and optical stability.

[0054] In some embodiments, the optical system further satisfies: -2.25 < (R19 + R22) / F1011 < -1.80; where R19 is the radius of curvature of the object-side surface of the tenth lens E10, R22 is the radius of curvature of the image-side surface of the eleventh lens E11, and F1011 is the combined focal length of the tenth and eleventh lenses E10 and E11. By reasonably controlling the range of this conditional expression, the upper limit constrains the sum of the radii of curvature, preventing the object-side surface of the tenth lens E10 from being too concave and the image-side surface of the eleventh lens E11 from being too convex, thus avoiding higher-order astigmatism and distortion; the lower limit ensures that the curvature has sufficient strength to effectively smooth the image plane curvature and compensate for axial chromatic aberration. This ratio simultaneously optimizes the lens shape and optical power distribution, significantly reduces the system's sensitivity to assembly tolerances, enhances thermal stability, and ensures mass production consistency and environmental adaptability.

[0055] In some embodiments, the optical system further satisfies: 3.48 ≤ FG2 / CT9 ≤ 4.30; where FG2 is the combined focal length of the second lens group G2, and CT9 is the center thickness of the ninth lens E9 on the optical axis. Reasonably controlling this conditional range achieves an optimal balance between optical performance and structural stability. The lower limit ensures that the ninth lens E9 has sufficient thickness, providing a material basis for grinding high-precision optical surfaces, enabling it to effectively handle optical power and correct field curvature and astigmatism, while significantly enhancing the lens's mechanical strength and reducing assembly sensitivity. The upper limit constrains the ninth lens E9, preventing it from becoming excessively thick, avoiding the introduction of unnecessary spherical aberration and material absorption, ensuring the effectiveness of the optical power of the second lens group G2, and maintaining system compactness. This ratio also optimizes thermal stability, reduces focus drift caused by temperature changes, and comprehensively improves system mass production yield and environmental reliability.

[0056] In some embodiments (Examples 5 to 9), the second lens group G2 has eight lenses with optical power, wherein: the object-side surface of the sixth lens E6 is convex and the image-side surface is convex; the image-side surface of the seventh lens E7 is convex; the eighth lens E8 has negative optical power, and the object-side surface and the image-side surface of the eighth lens E8 are concave; the ninth lens E9 has negative optical power, and the image-side surface of the ninth lens E9 is concave; the tenth lens E10 has positive optical power, and the object-side surface and the image-side surface of the tenth lens E10 are convex; the eleventh lens E11 has negative optical power, and the object-side surface of the eleventh lens E11 is convex and the image-side surface is concave; the twelfth lens E12 has positive optical power, and the object-side surface and the image-side surface of the twelfth lens E12 are convex; the thirteenth lens E13 has positive optical power, and the object-side surface of the thirteenth lens E13 is convex and the image-side surface is concave. The eight-element second lens group G2 forms a high-performance aberration correction system through alternating optical power and surface shape matching. The sixth lens E6 and the seventh lens E7 (positive optical power) serve as the front group for efficient light convergence; the eighth lens E8 and the ninth lens E9 (negative optical power) form a strong negative optical power combination, powerfully correcting axial chromatic aberration and higher-order spherical aberration; the tenth lens E10 (positive optical power) balances the optical path and suppresses field curvature; the eleventh lens E11 (negative optical power, convex-concave shape) precisely controls distortion and magnification chromatic aberration; and the twelfth lens E12 and the thirteenth lens E13 (positive optical power) serve as the final convergence group, significantly improving modulation transfer function performance. This structure achieves an optimal balance between complex aberration correction, thermal stability, and tolerance sensitivity, ultimately realizing high-resolution imaging across the entire field of view and perfect pupil matching with mobile phone sensors.

[0057] In some embodiments, the first lens E1 is cemented with the second lens E2, and the third lens E3 is cemented with the fourth lens E4. The optical system also satisfies: 3.88 ≤ F34 / F12 ≤ 7.10; where F34 is the combined focal length of the third lens E3 and the fourth lens E4, and F12 is the combined focal length of the first lens E1 and the second lens E2. Reasonably controlling this conditional range ensures the dominance of the positive optical power group at the lower limit, providing sufficient basic converging force for the system, which is fundamental to achieving long focal lengths and high resolution; at the same time, it constrains the intensity of the negative optical power group, preventing it from excessively diverging light and introducing field curvature or astigmatism. The upper limit, on the other hand, gives the negative optical power group sufficient intensity of diverging light, enabling it to accurately and powerfully correct axial chromatic aberration, magnification chromatic aberration, and higher-order spherical aberration generated by the positive optical power group, and effectively smooths the image plane (Petzwahl et al.).

[0058] In some embodiments, the optical system further satisfies: -3.65 < F78 / (CT7+CT8) < -2.95; where F78 is the combined focal length of the seventh lens E7 and the eighth lens E8, CT7 is the center thickness of the seventh lens E7 on the optical axis, and CT8 is the center thickness of the eighth lens E8 on the optical axis. By reasonably controlling this conditional range, the upper limit constrains the maximum intensity of the diverging light effect of the seventh lens E7 and the eighth lens E8 as a negative optical power combination, preventing over-correction from introducing astigmatism and other undesirable aberrations; the lower limit ensures that the seventh lens E7 and the eighth lens E8, as a negative optical power combination, have sufficient correction capability, effectively eliminating axial chromatic aberration and smoothing out image field curvature. Simultaneously, this ratio, by coordinating optical performance and mechanical structure, ensures that the lenses have sufficient center thickness to maintain structural stability, reduces assembly sensitivity, and significantly improves thermal stability, enabling the lens to maintain stable imaging performance under temperature changes, ultimately achieving the design requirements of a high-performance optical system.

[0059] In some embodiments, the optical system further satisfies: 3.15 < F1112 / T1213 < 3.45; where F1112 is the combined focal length of the eleventh lens E11 and the twelfth lens E12, and T1213 is the air gap between the twelfth lens E12 and the thirteenth lens E13 on the optical axis. Reasonably controlling the range of this condition ensures system resolution and focal length performance; the upper limit constrains the air gap size to prevent excessive system lengthening. This ratio allows the positive optical power combination to effectively correct residual aberrations in the front group, while the optimized air gap provides design freedom for distortion and field curvature correction, and acts as a thermal compensation buffer layer to eliminate the influence of thermal stress on imaging.

[0060] In some embodiments, the optical system further satisfies: -6.75 ≤ |F910| / (R17+R20) ≤ -2.09; where F910 is the combined focal length of the ninth lens E9 and the tenth lens E10, R17 is the radius of curvature of the object-side surface of the ninth lens E9, and R20 is the radius of curvature of the image-side surface of the tenth lens E10. By reasonably controlling this conditional range, high-performance aberration correction and system stability optimization are achieved. The upper limit constrains the negative optical power intensity to prevent over-correction from introducing astigmatism and distortion; the lower limit ensures sufficient negative optical power to effectively eliminate axial chromatic aberration and smooth the image field curvature. Simultaneously, this ratio optimizes the lens's light-deflecting capability by coordinating optical performance with the surface shape, significantly reducing the system's sensitivity to assembly tolerances and enhancing thermal stability, enabling the lens to maintain stable imaging performance under temperature changes, ultimately achieving the high-performance design requirements of the optical system.

[0061] In some embodiments, the optical system further satisfies: 12.98mm ≤ f13 / N13 ≤ 15.16mm; where f13 is the effective focal length of the thirteenth lens E13, and N13 is the refractive index of the thirteenth lens E13. Reasonably controlling this conditional range optimizes the terminal's imaging performance and optical characteristics. The lower limit ensures that the thirteenth lens E13 has sufficient focal length to maintain a reasonable back working distance and avoid physical interference with the phone's sensors; the upper limit constrains the focal length to prevent it from becoming too long, ensuring system compactness. This ratio also optimizes the lens's refractive power distribution: a suitable refractive index allows for a gentler curvature to achieve the required optical power, effectively suppressing higher-order aberrations, especially spherical aberration and field curvature, improving edge image quality; while a reasonable focal length ensures perfect integration with the front optical path, achieving precise beam convergence.

[0062] In some embodiments, the optical system further satisfies: 1.10 ≤ (CT9 + CT10) / (CT11 + CT12) ≤ 2.23; where CT9 is the center thickness of the ninth lens E9 on the optical axis, CT10 is the center thickness of the tenth lens E10 on the optical axis, CT11 is the center thickness of the eleventh lens E11 on the optical axis, and CT12 is the center thickness of the twelfth lens E12 on the optical axis. Reasonably controlling this conditional range achieves an optimal balance between aberration correction, structural stability, and thermal performance. The lower limit ensures that the front lens group has sufficient thickness, providing a basis for complex surface processing and enhancing spherical aberration and field curvature correction capabilities; the upper limit prevents the front group from being excessively thick, avoiding the introduction of unnecessary aberrations and system redundancy. This ratio also optimizes the optical-mechanical structure matching: the thicker ninth lens E9 and tenth lens E10 improve chromatic aberration correction, while the reasonably thinned eleventh lens E11 and twelfth lens E12 reduce system sensitivity while controlling distortion.

[0063] In some embodiments, the optical system further satisfies: 0.34 ≤ TDG2 / |F910| ≤ 1.20; where TDG2 is the distance on the optical axis from the object-side surface of the sixth lens E6 to the image-side surface of the thirteenth lens E13, and F910 is the combined focal length of the ninth lens E9 and the tenth lens E10. By reasonably controlling this conditional range, the combined lens of the ninth lens E9 and the tenth lens E10 possesses sufficiently strong optical power to efficiently correct chromatic aberration and spherical aberration, while its correction efficiency is precisely limited within reasonable physical dimensions.

[0064] In some embodiments (Examples 10 to 12), the second lens group G2 contains ten lenses with optical power, wherein: the image-side surface of the sixth lens E6 is convex; the image-side surface of the seventh lens E7 is concave; the eighth lens E8 has positive optical power, and both its object-side and image-side surfaces are convex; the ninth lens E9 has negative optical power, and its image-side surface is concave; the tenth lens E10 has positive optical power, and both its object-side and image-side surfaces are concave; the eleventh lens... Lens E11 has negative optical power, with its object-side surface concave and image-side surface convex; lens E12 has negative optical power, with both its object-side and image-side surfaces concave; lens E13 has positive optical power, with both its object-side and image-side surfaces convex; lens E14 has positive optical power, with both its object-side and image-side surfaces convex; and lens E15 has positive optical power, with its object-side surface convex. This ten-element second lens group G2, through highly complex alternation of optical power and surface shape matching, constitutes an ultra-high-performance aberration correction system. The sixth lens (E6) and the seventh lens (E7) regulate the incident light path; the eighth lens (E8) provides the main converging force; the ninth lens (E9) enables chromatic aberration correction; the tenth lens (E10) balances the image plane; the eleventh lens (E11) precisely controls distortion and magnification chromatic aberration; the twelfth lens (E12) strongly corrects field curvature and astigmatism; the thirteenth lens (E13), fourteenth lens (E14), and fifteenth lens (E15) (positive optical power) form a terminal strong converging group, significantly improving modulation transfer function performance and perfectly matching the sensor image plane. This structure achieves coordinated correction of all aberrations, including chromatic aberration, spherical aberration, field curvature, and distortion, within an extremely compact space. Simultaneously, optimized optical power allocation reduces sensitivity, ensuring mass production stability and ultimately achieving professional-grade optical imaging quality.

[0065] In some embodiments, the optical system satisfies: -8.90 ≤ (f6 + f7) / F89 ≤ -4.46; where f6 is the effective focal length of the sixth lens E6, f7 is the effective focal length of the seventh lens E7, and F89 is the combined focal length of the eighth lens E8 and the ninth lens E9. By reasonably controlling this conditional range, a smooth transition of the front-group optical path and aberration pre-correction are achieved. The upper limit constrains the combined positive optical power intensity of the sixth lens E6 and the seventh lens E7 to prevent excessive convergence of light rays and increase higher-order spherical aberrations; the lower limit ensures that the combined lens of the eighth lens E8 and the ninth lens E9 has sufficient negative optical power to effectively correct axial chromatic aberration and initially smooth the image field curve. This ratio also optimizes the incident angle of the front-group light rays, creating optimal optical path conditions for subsequent complex aberration correction, significantly reducing system sensitivity and improving thermal stability.

[0066] In some embodiments, the second lens E2 and the third lens E3 are cemented together, and the fourth lens E4 and the fifth lens E5 are cemented together. The optical system satisfies: 0.80 < (F23 + F45) / (F23 - F45) < 1.25; where F23 is the combined focal length of the second lens E2 and the third lens E3, and F45 is the combined focal length of the fourth lens E4 and the fifth lens E5. By reasonably controlling the range of this conditional expression, the aberration correction efficiency and system stability are optimized. A value near 1.0 indicates that the optical power intensities of the two cemented groups are close and opposite in sign, forming a symmetrical aberration correction structure. The upper limit constrains the difference in optical power to prevent over-correction leading to aberration polarity reversal; the lower limit ensures that the aberration correction structure has sufficient correction capability to effectively neutralize axial chromatic aberration and higher-order spherical aberration. This design allows the two cemented lenses to generate complementary thermal effects, significantly reducing temperature drift.

[0067] In some embodiments, the optical system satisfies: 4.00 ≤ TDG2 / T1314 ≤ 4.80; where TDG2 is the distance on the optical axis from the object-side surface of the sixth lens E6 to the image-side surface of the fifteenth lens E15, and T1314 is the air gap on the optical axis between the thirteenth lens E13 and the fourteenth lens E14. By reasonably controlling this conditional range, the lower limit ensures sufficient air gap, providing the necessary aberration correction space for the two positive lenses, the thirteenth lens E13 and the fourteenth lens E14, which is particularly beneficial for further suppressing advanced spherical aberration and field curvature, and optimizing the aperture stop position to improve off-axis imaging performance; the upper limit strictly constrains the size of this gap, preventing excessive extension of the system's rear end, which is key to ensuring the compact structure and small size of the entire external lens.

[0068] In some embodiments, the optical system satisfies: 1.48 ≤ F1011 / (V10+V11) ≤ 3.55; where F1011 is the combined focal length of the tenth lens E10 and the eleventh lens E11, V10 is the Abbe number of the tenth lens E10, and V11 is the Abbe number of the eleventh lens E11. Reasonably controlling this conditional range achieves a balance between chromatic aberration correction and optical performance. The lower limit ensures that the combination has sufficient optical power intensity, enabling it to effectively perform aberration correction, especially fine correction of magnification chromatic aberration; at the same time, it constrains the sum of the Abbe numbers of the selected glass materials from being too high, thus employing a combination strategy of medium-to-low Abbe number materials, which is the physical basis for achieving chromatic aberration correction. The upper limit prevents the combination from being too strong in optical power, introducing unnecessary spherical aberration, and limits the lower limit of the sum of the Abbe numbers of the materials, avoiding the use of materials with excessive dispersion that would lead to correction difficulties.

[0069] In some embodiments, the optical system satisfies: 1.15 < f14 / F1213 < 1.70; where f14 is the effective focal length of the fourteenth lens E14, and F1213 is the combined focal length of the twelfth lens E12 and the thirteenth lens E13. By reasonably controlling this conditional range, optimal balance of the system's terminal optical power and fine aberration correction can be achieved. The lower limit ensures that the fourteenth lens E14 has sufficient optical power intensity, enabling it to effectively participate in and complete the final convergence of light, improving the contrast and resolution of the system image, while preventing excessive positive optical power from the combined lens of the twelfth and thirteenth lenses, which could introduce significant higher-order spherical aberration. The upper limit constrains the focal length of the fourteenth lens E14, preventing it from being too short, which could lead to insufficient back working distance or interference with the mobile phone sensor interface, and effectively suppresses field curvature and astigmatism caused by strong optical power, ensuring image quality at the edge of the field of view.

[0070] In some embodiments, the optical system satisfies: 13.11 ≤ f15 / CT15 ≤ 16.94; where f15 is the effective focal length of the fifteenth lens E15, and CT15 is the center thickness of the fifteenth lens E15 on the optical axis. By reasonably controlling this conditional range, the lower limit ensures that the lens has sufficient optical power to efficiently converge the beam, significantly improving the modulation transfer function performance and relative illumination of the system imaging; simultaneously, it constrains the minimum thickness of the lens, providing it with the necessary mechanical strength to reduce assembly sensitivity. The upper limit prevents the lens from becoming excessively thick and heavy, avoiding the introduction of unnecessary advanced spherical aberrations and material absorption due to excessive center thickness, thus ensuring the optical efficiency and compactness of the system terminal.

[0071] According to another aspect of this application, this application also provides an optical system comprising, sequentially from the object side to the image side along the optical axis, a lens group, an aperture stop, and an imaging lens; the lens group includes a first lens group G1 and a second lens group G2; wherein the first lens group G1 contains five lenses with optical power, including: a first lens E1 with positive optical power, wherein the object side of the first lens E1 is convex and the image side is convex; a second lens E2 with negative optical power, wherein the object side of the second lens E2 is concave and the image side is convex; and a third lens E3 with positive optical power, wherein the object side of the third lens E3 is convex and the image side is concave. The second lens group G2 comprises eight lenses with optical power, including: a sixth lens E6 with positive optical power, wherein the object-side and image-side surfaces of the sixth lens E6 are convex; a seventh lens E7 with positive optical power, wherein the object-side and image-side surfaces of the seventh lens E7 are convex; and an eighth lens E8 with negative optical power, wherein the object-side and image-side surfaces of the eighth lens E8 are concave. A ninth lens E9 having negative optical power, wherein the object-side surface of the ninth lens E9 is concave and the image-side surface is concave; a tenth lens E10 having positive optical power, wherein the object-side surface of the tenth lens E10 is convex and the image-side surface is convex; an eleventh lens E11 having negative optical power, wherein the object-side surface of the eleventh lens E11 is convex and the image-side surface is concave; a twelfth lens E12 having positive optical power, wherein the object-side surface of the twelfth lens E12 is convex and the image-side surface is convex; a thirteenth lens E13 having positive optical power, wherein the object-side surface of the thirteenth lens E13 is convex and the image-side surface is concave; and satisfying: the first lens Lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together, satisfying: 3.88≤F34 / F12≤7.10 and -3.65<F78 / (CT7+CT8)<-2.95, where F34 is the combined focal length of the third lens E3 and the fourth lens E4, F12 is the combined focal length of the first lens E1 and the second lens E2, F78 is the combined focal length of the seventh lens E7 and the eighth lens E8, CT7 is the center thickness of the seventh lens E7 on the optical axis, and CT8 is the center thickness of the eighth lens E8 on the optical axis.

[0072] By rationally configuring this optical system and setting reasonable ranges of 3.88≤F34 / F12≤7.10 and -3.65<F78 / (CT7+CT8)<-2.95, an optimal balance is achieved between complex aberration correction, system compactness, environmental adaptability, and mass production stability, ultimately realizing full-range high-resolution imaging. The lower limits of F34 / F12 and F78 / (CT7+CT8) ensure that the first and second cemented lenses with positive optical power dominate the converging effect, providing a basis for long focal lengths, while constraining the matching of their optical power intensity and physical thickness; the upper limits ensure strong correction of axial chromatic aberration and higher-order spherical aberration, while balancing image plane curvature, and enhancing mechanical stability and thermal compensation performance through sufficient lens thickness, suppressing temperature drift.

[0073] It should be noted that those skilled in the art should understand that the number of spacers constituting the optical system can be changed to obtain the various results and advantages described in this specification without departing from the technical solutions claimed in this application, and this application does not specifically limit this. For example, the optical system may also include other numbers of spacers than those described in the above embodiments, as needed.

[0074] The following describes some specific, non-limiting embodiments of the above-described embodiments of this application in more detail with reference to the accompanying drawings. For ease of description, in the following embodiments, OBJ represents the object plane of the optical system, STO represents the surface of the aperture stop, and Si (i=1, 2, 3...) can represent the surface of the lens in contact with air along the optical axis, or it can represent the cemented surface of two lenses.

[0075] Example 1 refer to Figure 1 The optical system in this application includes, in sequence along the optical axis from the object side to the image side, a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 2 As shown in the figure, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes seven lenses, from the sixth lens E6 to the twelfth lens E12, the seventh lens E7 and the eighth lens E8 are cemented together, and the tenth lens E10 and the eleventh lens E11 are cemented together. Light from the object passes sequentially through the first lens E1 to the twelfth lens E12 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0076] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has positive optical power, and the object side of the fifth lens E5 is concave and the image side is convex. The sixth lens E6 has positive optical power, and the object side of the sixth lens E6 is convex and the image side is concave. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has positive optical power, and the object side of the ninth lens E9 is concave and the image side is convex. The tenth lens E10 has negative optical power, and the object side and image side of the tenth lens E10 are concave. The eleventh lens E11 has positive optical power, and the object side and image side of the eleventh lens E11 are convex. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex.

[0077] In addition, Table 1 shows the basic optical parameters of the optical system of Embodiment 1, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0078] Table 1

[0079] In summary, the on-axis chromatic aberration curve of the optical system in Example 1 is as follows: Figure 3A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 1 is shown below. Figure 3B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Embodiment 1 is as follows. Figure 3C As shown, it represents the degree of distortion in the actual image. According to... Figure 3A , Figure 3B , Figure 3C It can be seen that the optical system in Example 1 can achieve good imaging quality.

[0080] Example 2 refer to Figure 1The optical system in this application includes, in sequence along the optical axis from the object side to the image side, a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 4 As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes seven lenses, from the sixth lens E6 to the twelfth lens E12, the seventh lens E7 and the eighth lens E8 are cemented together, and the tenth lens E10 and the eleventh lens E11 are cemented together. Light from the object passes sequentially through the first lens E1 to the twelfth lens E12 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0081] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has positive optical power, and the object side of the fifth lens E5 is concave and the image side is convex. The sixth lens E6 has positive optical power, and the object side of the sixth lens E6 is convex and the image side is concave. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has positive optical power, and the object side of the ninth lens E9 is concave and the image side is convex. The tenth lens E10 has negative optical power, and the object side and image side of the tenth lens E10 are concave. The eleventh lens E11 has positive optical power, and the object side and image side of the eleventh lens E11 are convex. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex.

[0082] In addition, Table 2 shows the basic optical parameters of the optical system of Embodiment 2, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0083] Table 2

[0084] In summary, the on-axis chromatic aberration curve of the optical system in Example 2 is as follows: Figure 5A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 2 is shown below. Figure 5B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 2 is as follows. Figure 5C As shown, it represents the degree of distortion in the actual image. According to... Figure 5A , Figure 5B , Figure 5C It can be seen that the optical system in Embodiment 2 can achieve good imaging quality.

[0085] Example 3 refer to Figure 1 In this embodiment, the optical system includes, sequentially from the object side to the image side along the optical axis, a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; as Figure 6 As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes seven lenses, from the sixth lens E6 to the twelfth lens E12, the seventh lens E7 and the eighth lens E8 are cemented together, and the tenth lens E10 and the eleventh lens E11 are cemented together. Light from the object passes sequentially through the first lens E1 to the twelfth lens E12 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0086] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has positive optical power, and the object side of the fifth lens E5 is concave and the image side is convex. The sixth lens E6 has positive optical power, and the object side of the sixth lens E6 is convex and the image side is concave. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has positive optical power, and the object side of the ninth lens E9 is concave and the image side is convex. The tenth lens E10 has negative optical power, and the object side and image side of the tenth lens E10 are concave. The eleventh lens E11 has positive optical power, and the object side and image side of the eleventh lens E11 are convex. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex.

[0087] In addition, Table 3 shows the basic optical parameters of the optical system of Embodiment 3, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0088] Table 3

[0089] In summary, the on-axis chromatic aberration curve of the optical system in Example 3 is as follows: Figure 7A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 3 is shown below. Figure 7B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 3 is as follows. Figure 7C As shown, it represents the degree of distortion in the actual image. According to... Figure 7A , Figure 7B , Figure 7C It can be seen that the optical system in Embodiment 3 can achieve good imaging quality.

[0090] Example 4 refer to Figure 1 The optical system in this application includes, in sequence along the optical axis from the object side to the image side, a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 8As shown, in this embodiment, the lens group 10 has a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes seven lenses, from the sixth lens E6 to the twelfth lens E12, the seventh lens E7 and the eighth lens E8 are cemented together, and the tenth lens E10 and the eleventh lens E11 are cemented together. Light from the object passes sequentially through the first lens E1 to the twelfth lens E12 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0091] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has positive optical power, and the object side of the fifth lens E5 is concave and the image side is convex. The sixth lens E6 has positive optical power, and the object side of the sixth lens E6 is convex and the image side is concave. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has positive optical power, and the object side of the ninth lens E9 is concave and the image side is convex. The tenth lens E10 has negative optical power, and the object side and image side of the tenth lens E10 are concave. The eleventh lens E11 has positive optical power, and the object side and image side of the eleventh lens E11 are convex. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex.

[0092] In addition, Table 4 shows the basic optical parameters of the optical system of Embodiment 4, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0093] Table 4

[0094] In summary, the on-axis chromatic aberration curve of the optical system in Example 4 is as follows: Figure 9A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 4 is shown below. Figure 9B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 4 is as follows. Figure 9C As shown, it represents the degree of distortion in the actual image. According to... Figure 9A , Figure 9B , Figure 9C It can be seen that the optical system in Example 4 can achieve good imaging quality.

[0095] It is worth noting that all of the above embodiments one to four are lenses with 12 lenses, and the effective focal length f of the optical system is the effective focal length when adapted to an imaging lens with a focal length of 16.53mm.

[0096] Example 5 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 10 As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes eight lenses, from the sixth lens E6 to the thirteenth lens E13, wherein the seventh lens E7 and the eighth lens E8 are cemented together, the ninth lens E9 and the tenth lens E10 are cemented together, and the eleventh lens E11 and the twelfth lens E12 are cemented together. Light from the object passes sequentially through the first lens E1 to the thirteenth lens E13 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0097] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has negative optical power, and the object side of the fifth lens E5 is convex and the image side is concave. The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side and image side of the tenth lens E10 are both convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is convex and the image side is concave. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex. The thirteenth lens E13 has positive optical power, and the object side of the thirteenth lens E13 is convex and the image side is concave.

[0098] In addition, Table 5 shows the basic optical parameters of the optical system of Embodiment 5, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0099] Table 5

[0100] In summary, the on-axis chromatic aberration curve of the optical system in Example 5 is as follows: Figure 11A As shown, this indicates the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 5 is shown below. Figure 11B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 5 is as follows. Figure 11C As shown, it represents the degree of distortion in the actual image. According to... Figure 11A , Figure 11B , Figure 11C It can be seen that the optical system in Example 5 can achieve good imaging quality.

[0101] Example 6 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 12As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes eight lenses, from the sixth lens E6 to the thirteenth lens E13, wherein the seventh lens E7 and the eighth lens E8 are cemented together, the ninth lens E9 and the tenth lens E10 are cemented together, and the eleventh lens E11 and the twelfth lens E12 are cemented together. Light from the object passes sequentially through the first lens E1 to the thirteenth lens E13 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0102] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has negative optical power, and the object side of the fifth lens E5 is convex and the image side is concave. The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side and image side of the tenth lens E10 are both convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is convex and the image side is concave. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex. The thirteenth lens E13 has positive optical power, and the object side of the thirteenth lens E13 is convex and the image side is concave.

[0103] In addition, Table 6 shows the basic optical parameters of the optical system of Embodiment Six, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0104] Table 6

[0105] In summary, the on-axis chromatic aberration curve of the optical system in Example 6 is as follows: Figure 13A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 6 is shown below. Figure 13B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 6 is as follows. Figure 13C As shown, it represents the degree of distortion in the actual image. According to... Figure 13A , Figure 13B , Figure 13C It can be seen that the optical system in Embodiment Six can achieve good imaging quality.

[0106] Example 7 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 14 As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes eight lenses, from the sixth lens E6 to the thirteenth lens E13, wherein the seventh lens E7 and the eighth lens E8 are cemented together, the ninth lens E9 and the tenth lens E10 are cemented together, and the eleventh lens E11 and the twelfth lens E12 are cemented together. Light from the object passes sequentially through the first lens E1 to the thirteenth lens E13 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0107] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has negative optical power, and the object side of the fifth lens E5 is convex and the image side is concave. The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side and image side of the tenth lens E10 are both convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is convex and the image side is concave. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex. The thirteenth lens E13 has positive optical power, and the object side of the thirteenth lens E13 is convex and the image side is concave.

[0108] In addition, Table 7 shows the basic optical parameters of the optical system of Embodiment 7, where the units of radius of curvature and thickness / distance are millimeters (mm).

[0109] Table 7

[0110] In summary, the on-axis chromatic aberration curve of the optical system in Example 7 is as follows: Figure 15A As shown, this indicates the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 7 is shown below. Figure 15B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 7 is as follows. Figure 15C As shown, it represents the degree of distortion in the actual image. According to... Figure 15A , Figure 15B , Figure 15C It can be seen that the optical system in Embodiment 7 can achieve good imaging quality.

[0111] Example 8 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 16As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes eight lenses, from the sixth lens E6 to the thirteenth lens E13, wherein the seventh lens E7 and the eighth lens E8 are cemented together, the ninth lens E9 and the tenth lens E10 are cemented together, and the eleventh lens E11 and the twelfth lens E12 are cemented together. Light from the object passes sequentially through the first lens E1 to the thirteenth lens E13 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0112] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has negative optical power, and the object side of the fifth lens E5 is convex and the image side is concave. The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side and image side of the tenth lens E10 are both convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is convex and the image side is concave. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex. The thirteenth lens E13 has positive optical power, and the object side of the thirteenth lens E13 is convex and the image side is concave.

[0113] In addition, Table 8 shows the basic optical parameters of the optical system of Embodiment 8, where the units of radius of curvature and thickness / distance are millimeters (mm).

[0114] Table 8

[0115] In summary, the on-axis chromatic aberration curve of the optical system in Example 8 is as follows: Figure 17A As shown, this indicates the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 8 is shown below. Figure 17B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 8 is as follows. Figure 17C As shown, it represents the degree of distortion in the actual image. According to... Figure 17A , Figure 17B , Figure 17C It can be seen that the optical system in Example 8 can achieve good imaging quality.

[0116] Example 9 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 18 As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented together, and the third lens E3 and the fourth lens E4 are cemented together. The second lens group G2 includes eight lenses, from the sixth lens E6 to the thirteenth lens E13, wherein the seventh lens E7 and the eighth lens E8 are cemented together, the ninth lens E9 and the tenth lens E10 are cemented together, and the eleventh lens E11 and the twelfth lens E12 are cemented together. Light from the object passes sequentially through the first lens E1 to the thirteenth lens E13 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0117] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has negative optical power, and the object side of the second lens E2 is concave and the image side is convex. The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex. The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave. The fifth lens E5 has negative optical power, and the object side of the fifth lens E5 is convex and the image side is concave. The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex. The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex. The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side and image side of the tenth lens E10 are both convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is convex and the image side is concave. The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex. The thirteenth lens E13 has positive optical power, and the object side of the thirteenth lens E13 is convex and the image side is concave.

[0118] In addition, Table 9 shows the basic optical parameters of the optical system of Embodiment Nine, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0119] Table 9

[0120] In summary, the on-axis chromatic aberration curve of the optical system in Example 9 is as follows: Figure 19A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 9 is shown below. Figure 19B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 9 is as follows. Figure 19C As shown, it represents the degree of distortion in the actual image. According to... Figure 19A , Figure 19B , Figure 19C It can be seen that the optical system in Example 9 can achieve good imaging quality.

[0121] It is worth noting that the above embodiments five to nine are lenses with 13 lenses, and the effective focal length of the optical system is the effective focal length when adapted to an imaging lens of 17.092mm.

[0122] Example 10 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 20As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the second lens E2 and the third lens E3 are cemented together, and the fourth lens E4 and the fifth lens E5 are cemented together. The second lens group G2 includes ten lenses, from the sixth lens E6 to the fifteenth lens E15, wherein the eighth lens E8 and the ninth lens E9 are cemented together, the tenth lens E10 and the eleventh lens E11 are cemented together, and the twelfth lens E12 and the thirteenth lens E13 are cemented together. Light from the object passes sequentially through the first lens E1 to the fifteenth lens E15 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0123] In this embodiment, the first lens E1 has positive optical power, and the object side of the first lens E1 is convex and the image side is concave. The second lens E2 has positive optical power, and the object side of the second lens E2 is convex and the image side is concave. The third lens E3 has negative optical power, and the object side of the third lens E3 is convex and the image side is concave. The fourth lens E4 has positive optical power, and the object side and image side of the fourth lens E4 are both convex. The fifth lens E5 has negative optical power, and the object side and image side of the fifth lens E5 are concave. The sixth lens E6 has positive optical power, and the object side of the sixth lens E6 is concave and the image side is convex. The seventh lens E7 has positive optical power, and the object side of the seventh lens E7 is convex and the image side is concave. The eighth lens E8 has positive optical power, and the object side and image side of the eighth lens E8 are both convex. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side of the tenth lens E10 is concave and the image side is convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is concave and the image side is convex. The twelfth lens E12 has negative optical power, and the object side and image side of the twelfth lens E12 are concave. The thirteenth lens E13 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex. The fourteenth lens E14 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex. The fifteenth lens E15 has positive optical power. The object side of the thirteenth lens E13 is convex, and the image side is concave.

[0124] In addition, Table 10 shows the basic optical parameters of the optical system of Embodiment 10, where the units of radius of curvature and thickness / distance are millimeters (mm).

[0125] Table 10

[0126] In summary, the on-axis chromatic aberration curve of the optical system in Example 10 is as follows: Figure 21A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 10 is shown below. Figure 21B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 10 is as follows. Figure 21C As shown, it represents the degree of distortion in the actual image. According to... Figure 21A , Figure 21B , Figure 21C It can be seen that the optical system in Example 10 can achieve good imaging quality.

[0127] Example 11 refer to Figure 1 In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 22 As shown, in this embodiment, the lens group 10 includes a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the second lens E2 and the third lens E3 are cemented together, and the fourth lens E4 and the fifth lens E5 are cemented together. The second lens group G2 includes ten lenses, from the sixth lens E6 to the fifteenth lens E15, wherein the eighth lens E8 and the ninth lens E9 are cemented together, the tenth lens E10 and the eleventh lens E11 are cemented together, and the twelfth lens E12 and the thirteenth lens E13 are cemented together. Light from the object passes sequentially through the first lens E1 to the fifteenth lens E15 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0128] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has positive optical power, and the object side and image side of the second lens E2 are convex. The third lens E3 has negative optical power, and the object side and image side of the third lens E3 are concave. The fourth lens E4 has positive optical power, and the object side and image side of the fourth lens E4 are both convex. The fifth lens E5 has negative optical power, and the object side and image side of the fifth lens E5 are concave. The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex. The seventh lens E7 has positive optical power, and the object side of the seventh lens E7 is convex and the image side is concave. The eighth lens E8 has positive optical power, and the object side and image side of the eighth lens E8 are both convex. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side of the tenth lens E10 is concave and the image side is convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is concave and the image side is convex. The twelfth lens E12 has negative optical power, and the object side and image side of the twelfth lens E12 are concave. The thirteenth lens E13 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex. The fourteenth lens E14 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex. The fifteenth lens E15 has positive optical power. The object side of the thirteenth lens E13 is convex, and the image side is concave.

[0129] In addition, Table 11 shows the basic optical parameters of the optical system of Example 11, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0130] Table 11

[0131] In summary, the on-axis chromatic aberration curve of the optical system in Example 11 is as follows: Figure 23A As shown, this represents the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example 11 is shown below. Figure 23B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example 11 is as follows. Figure 23C As shown, it represents the degree of distortion in the actual image. According to... Figure 23A , Figure 23B , Figure 23C It can be seen that the optical system in Example 11 can achieve good imaging quality.

[0132] Example 12 refer to Figure 1In this application, the optical system, along the optical axis from the object side to the image side, sequentially includes a lens group 10, an aperture stop STO, and an imaging lens 20. The optical system also includes an imaging surface IMG disposed on the image side of the imaging lens 20; Figure 24 As shown, in this embodiment, the lens group 10 has a first lens group G1 and a second lens group G2. The first lens group G1 includes five lenses, from the first lens E1 to the fifth lens E5, wherein the second lens E2 and the third lens E3 are cemented together, and the fourth lens E4 and the fifth lens E5 are cemented together. The second lens group G2 includes ten lenses, from the sixth lens E6 to the fifteenth lens E15, wherein the eighth lens E8 and the ninth lens E9 are cemented together, the tenth lens E10 and the eleventh lens E11 are cemented together, and the twelfth lens E12 and the thirteenth lens E13 are cemented together. Light from the object passes sequentially through the first lens E1 to the fifteenth lens E15 of the lens group 10 and each lens of the imaging lens 20, and is finally imaged on the imaging surface IMG.

[0133] In this embodiment, the first lens E1 has positive optical power, and the object side and the image side of the first lens E1 are convex. The second lens E2 has positive optical power, and the object side and image side of the second lens E2 are convex. The third lens E3 has negative optical power, and the object side and image side of the third lens E3 are concave. The fourth lens E4 has positive optical power, and the object side and image side of the fourth lens E4 are both convex. The fifth lens E5 has negative optical power, and the object side and image side of the fifth lens E5 are concave. The sixth lens E6 has positive optical power, and the object side of the sixth lens E6 is concave and the image side is convex. The seventh lens E7 has positive optical power, and the object side of the seventh lens E7 is convex and the image side is concave. The eighth lens E8 has positive optical power, and the object side and image side of the eighth lens E8 are both convex. The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave. The tenth lens E10 has positive optical power, and the object side of the tenth lens E10 is concave and the image side is convex. The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is concave and the image side is convex. The twelfth lens E12 has negative optical power, and the object side and image side of the twelfth lens E12 are concave. The thirteenth lens E13 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex. The fourteenth lens E14 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex. The fifteenth lens E15 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex.

[0134] In addition, Table 12 shows the basic optical parameters of the optical system of Example Twelve, where the units for radius of curvature and thickness / distance are millimeters (mm).

[0135] Table 12

[0136] In summary, the on-axis chromatic aberration curve of the optical system in Example Twelve is as follows: Figure 25A As shown, this indicates the degree of deviation of the focal point after light of different wavelengths passes through the optical system; the astigmatism curve of the optical system in Example Twelve is shown below. Figure 25B As shown, it represents the curvature of the meridional image plane and the curvature of the sagittal image plane; the distortion curve of the optical system in Example Twelve is as follows. Figure 25C As shown, it represents the degree of distortion in the actual image. According to... Figure 25A , Figure 25B , Figure 25C It can be seen that the optical system in Example 12 can achieve good imaging quality.

[0137] It is worth noting that all of the above embodiments 10 to 12 are lenses with 15 lenses, and the effective focal length of the optical system is the effective focal length when adapted to an imaging lens of 22.48mm.

[0138] In summary, in Examples 1 to 12, the effective focal length f of the optical system, the effective focal lengths f1 to f15 of the first lens E1 to the fifteenth lens E15 in the optical system, the focal length FG1 of the first lens group G1, the focal length FG2 of the second lens group G2, the sum of the center thicknesses of all lenses in the first lens group G1 on the optical axis ∑CTG1, and the sum of the center thicknesses of all lenses in the second lens group G2 on the optical axis ∑CTG2 are shown in Tables 13-1 and 13-2, respectively.

[0139] Table 13-1

[0140] Table 13-2

[0141] In addition, some optical parameters of the optical systems in Embodiments 1 to 4 are shown in Table 14 below, some optical parameters of the optical systems in Embodiments 5 to 9 are shown in Table 15 below, and some optical parameters of the optical systems in Embodiments 10 to 12 are shown in Table 16 below. In the table, F12 represents the combined focal length of the first lens E1 and the second lens E2, F23 represents the combined focal length of the second lens E2 and the third lens E3, F34 represents the combined focal length of the third lens E3 and the fourth lens E4, F45 represents the combined focal length of the fourth lens E4 and the fifth lens E5, F78 represents the combined focal length of the seventh lens E7 and the eighth lens E8, F89 represents the combined focal length of the eighth lens E8 and the ninth lens E9, F1011 represents the combined focal length of the tenth lens E10 and the eleventh lens E11, F1112 represents the combined focal length of the eleventh lens E11 and the twelfth lens E12, F1213 represents the combined focal length of the twelfth lens E12 and the thirteenth lens E13, and TDG2 represents the distance on the optical axis from the object side of the sixth lens E6 to the image side of the thirteenth lens E13.

[0142] Table 14

[0143] Table 15

[0144] Table 16

[0145] In Examples 1 to 12, the optical systems in Examples 1 to 6 satisfy the constraints in Table 17-1 below, and the optical systems in Examples 7 to 12 satisfy the constraints of the conditional expressions in Table 17-2 below.

[0146] Table 17-1

[0147] Table 17-2

[0148] Furthermore, the optical systems in Embodiments 1 to 4 also satisfy the constraints of the conditional expressions in Table 18 below.

[0149] Table 18

[0150] The optical systems in Examples 5 to 9 also satisfy the constraints of the conditional expressions in Table 19 below.

[0151] Table 19

[0152] The optical systems in Examples 10 to 12 also satisfy the constraints of the conditional expressions in Table 20.

[0153] Table 20

[0154] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0155] The above embodiments merely illustrate several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the patent application. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.

Claims

1. An optical system, characterized in that, Along the optical axis, from the object side to the image side, it includes, in sequence, a lens group, an aperture stop, and an imaging lens; The lens group consists of a first lens group and a second lens group; wherein... The first lens group comprises five lenses with optical power, including: a first lens with positive optical power, wherein the object-side surface of the first lens is convex and the image-side surface is convex; a second lens with negative optical power, wherein the object-side surface of the second lens is concave and the image-side surface is convex; a third lens with positive optical power, wherein the object-side surface of the third lens is convex and the image-side surface is convex; a fourth lens with negative optical power, wherein the object-side surface of the fourth lens is concave and the image-side surface is concave; and a fifth lens with negative optical power, wherein the object-side surface of the fifth lens is convex and the image-side surface is concave. The second lens group comprises eight lenses with optical power, including: a sixth lens with positive optical power, wherein the object-side surface of the sixth lens is convex and the image-side surface is convex; a seventh lens with positive optical power, wherein both the object-side surface and the image-side surface are convex; an eighth lens with negative optical power, wherein both the object-side surface and the image-side surface are concave; a ninth lens with negative optical power, wherein both the object-side surface and the image-side surface are concave; a tenth lens with positive optical power, wherein both the object-side surface and the image-side surface are convex; an eleventh lens with negative optical power, wherein both the object-side surface and the image-side surface are convex; a twelfth lens with positive optical power, wherein both the object-side surface and the image-side surface are convex; and a thirteenth lens with positive optical power, wherein both the object-side surface and the image-side surface are concave. And satisfying: the first lens and the second lens are cemented together, the third lens and the fourth lens are cemented together, and satisfying: 3.88≤F34 / F12≤7.10 and -3.65<F78 / (CT7+CT8)<-2.95, where F34 is the combined focal length of the third lens and the fourth lens, F12 is the combined focal length of the first lens and the second lens, F78 is the combined focal length of the seventh lens and the eighth lens, CT7 is the center thickness of the seventh lens on the optical axis, and CT8 is the center thickness of the eighth lens on the optical axis.

2. The optical system according to claim 1, characterized in that, The optical system also satisfies: 5.19≤FG1 / f1≤5.81; where FG1 is the combined focal length of the first lens group and f1 is the effective focal length of the first lens.

3. The optical system according to claim 1, characterized in that, The optical system also satisfies: 0.77≤TDG1 / T56≤1.98; where TDG1 is the distance on the optical axis from the object side of the first lens to the image side of the fifth lens, and T56 is the air gap between the fifth lens and the sixth lens on the optical axis.

4. The optical system according to claim 1, characterized in that, The optical system also satisfies: 0.99≤∑CTG2 / ∑CTG1≤1.40; where ∑CTG2 is the sum of the center thicknesses of all lenses in the second lens group on the optical axis, and ∑CTG1 is the sum of the center thicknesses of all lenses in the first lens group on the optical axis.

5. The optical system according to claim 1, characterized in that, The optical system also satisfies: -1.16≤f / FG2≤-1.03; where f is the effective focal length of the optical system and FG2 is the combined focal length of the second lens group.

6. The optical system according to claim 1, characterized in that, The optical system also satisfies: 1.65≤f6 / |f12|≤1.93; where f6 is the effective focal length of the sixth lens and f12 is the effective focal length of the twelfth lens.

7. The optical system according to claim 1, characterized in that, The optical system also satisfies: -3.85≤f11 / f10≤-3.23; where f11 is the effective focal length of the eleventh lens and f10 is the effective focal length of the tenth lens.

8. The optical system according to claim 1, characterized in that, The optical system also satisfies: 1.17≤R1 / |R10|≤1.30; where R1 is the radius of curvature of the object side of the first lens and R10 is the radius of curvature of the image side of the fifth lens.

9. The optical system according to any one of claims 1 to 8, characterized in that, The optical system also satisfies: 3.15 < F1112 / T1213 < 3.45; where F1112 is the combined focal length of the eleventh lens and the twelfth lens, and T1213 is the air gap between the twelfth lens and the thirteenth lens on the optical axis.

10. The optical system according to any one of claims 1 to 8, characterized in that, The optical system also satisfies: -6.75≤|F910| / (R17+R20)≤-2.09; where F910 is the combined focal length of the ninth lens and the tenth lens, R17 is the radius of curvature of the object side of the ninth lens, and R20 is the radius of curvature of the image side of the tenth lens.

11. The optical system according to any one of claims 1 to 8, characterized in that, The optical system also satisfies: 12.98mm≤f13 / N13≤15.16mm; where f13 is the effective focal length of the thirteenth lens and N13 is the refractive index of the thirteenth lens.

12. The optical system according to any one of claims 1 to 8, characterized in that, The optical system also satisfies: 1.10≤(CT9+CT10) / (CT11+CT12)≤2.23; where CT9 is the center thickness of the ninth lens on the optical axis, CT10 is the center thickness of the tenth lens on the optical axis, CT11 is the center thickness of the eleventh lens on the optical axis, and CT12 is the center thickness of the twelfth lens on the optical axis.

13. The optical system according to any one of claims 1 to 8, characterized in that, The optical system also satisfies: 0.34≤TDG2 / |F910|≤1.20; where TDG2 is the distance on the optical axis from the object side of the sixth lens to the image side of the thirteenth lens, and F910 is the combined focal length of the ninth and tenth lenses.

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