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, 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; the first lens group comprises five lenses; the second lens group comprises at least seven lenses; the optical system satisfies 1.95<=FG1 / f1<=7.44; 0.65<TDG1 / T56<2.00; wherein 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 surface of the first lens to the image side surface of the fifth lens, and T56 is the air interval on the optical axis between the fifth lens and the sixth lens.

Description

TECHNICAL FIELD

[0001] The present application relates to the technical field of optical devices, in particular to an optical system. BACKGROUND

[0002] With the rapid development of mobile communication technology and the popularity of smart phones, mobile phone photography has become the main way for people to record life and create content. Users have increasingly high requirements for the quality, zoom capability and creative freedom of mobile phone photography. Due to the volume limitation of built-in long-focus lenses, there are problems such as short focal length, small aperture, and poor image quality due to insufficient aberration correction; there is an urgent need for an external lens attachment that can work with high-quality native lenses on mobile phones, significantly improve the optical focal length, while ensuring extremely high imaging quality, which can significantly improve the focal length and imaging quality while ensuring portability.

[0003] Although the existing small external long-focus lens can ensure long-focus performance, the image quality is poor, which is due to the difficulty of ensuring that the rear end of the external long-focus lens has enough working distance during miniaturization design, resulting in greater difficulty in aberration correction. In actual use, it cannot meet the user's demand for the quality of long-focus pictures, making it difficult for the external long-focus lens to be effectively promoted. SUMMARY

[0004] The application provides an optical system, which comprises, in sequence from the object side to the image side along the optical axis, 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 has positive refractive power, the number of lenses with refractive power in the first lens group is five, which comprises: a first lens with positive refractive power, the object side surface of the first lens is convex; a second lens with positive refractive power or negative refractive power; a third lens with positive refractive power or negative refractive power; a fourth lens with positive refractive power or negative refractive power; a fifth lens with positive refractive power or negative refractive power; the second lens group has positive refractive power, the number of lenses with refractive power in the second lens group is at least seven, which comprises: a sixth lens with positive refractive power; a seventh lens with positive refractive power, the object side surface of the seventh lens is convex; an eighth lens with positive refractive power or negative refractive power; a ninth lens with positive refractive power or negative refractive power, the object side surface of the ninth lens is concave; a tenth lens with positive refractive power or negative refractive power; an eleventh lens with positive refractive power or negative refractive power; a twelfth lens with positive refractive power or negative refractive power; and satisfy: 1.95≤FG1 / f1≤7.44; 0.65<TDG1 / T56<2.00; wherein 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 surface of the first lens to the image side surface of the fifth lens, and T56 is the air interval on the optical axis between the fifth lens and the sixth lens.

[0005] In some embodiments, the optical system further satisfies: 0.89≤∑CTG2 / ∑CTG1≤2.25; wherein ∑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.

[0006] In some embodiments, the optical system further satisfies: -4.05≤f / FG2≤-0.24; wherein f is the effective focal length of the optical system, and FG2 is the combined focal length of the second lens group.

[0007] In some embodiments, the optical system further satisfies: 1.10<f6 / |f12|<5.15; wherein f6 is the effective focal length of the sixth lens, and f12 is the effective focal length of the twelfth lens.

[0008] In some embodiments, the optical system further satisfies: -3.85≤f11 / f10≤-0.85; wherein f11 is the effective focal length of the eleventh lens, and f10 is the effective focal length of the tenth lens.

[0009] 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, and R10 is the radius of curvature of the image side surface of the fifth lens.

[0010] In some embodiments, the number of lenses with optical power in the second lens group is seven; wherein: the object side surface of the sixth lens is convex, the image side surface of the sixth lens is concave; the image side surface of the seventh lens is convex; the eighth lens has negative optical power, the object side surface of the eighth lens is concave, the image side surface of the eighth lens is concave; the ninth lens has positive optical power, the image side surface of the ninth lens is convex; the tenth lens has negative optical power, the object side surface of the tenth lens is concave, the image side surface of the tenth lens is concave; the eleventh lens has positive optical power, the object side surface of the eleventh lens is convex, the image side surface of the eleventh lens is convex; the twelfth lens has positive optical power, the object side surface of the twelfth lens is convex, the image side surface of the twelfth lens is convex.

[0011] In some embodiments, the first lens and the second lens are cemented, 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.

[0012] In some embodiments, the third lens and the fourth lens are cemented, 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 separation of the fourth lens and the fifth lens on the optical axis.

[0013] 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.

[0014] 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, R22 is the radius of curvature of the image side surface of the eleventh lens, and F1011 is the combined focal length of the tenth lens and the eleventh lens.

[0015] 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.

[0016] In some embodiments, the number of lenses with optical power in the second lens group is eight, wherein: the sixth lens has a convex object side surface and a convex image side surface; the seventh lens has a convex image side surface; the eighth lens has negative optical power, the object side surface of the eighth lens is concave, and the image side surface of the eighth lens is concave; the ninth lens has negative optical power, and the image side surface of the ninth lens is concave; the tenth lens has positive optical power, the object side surface of the tenth lens is convex, and the image side surface of the tenth lens is convex; the eleventh lens has negative optical power, the object side surface of the eleventh lens is convex, and the image side surface of the eleventh lens is concave; the twelfth lens has positive optical power, the object side surface of the twelfth lens is convex, and the image side surface of the twelfth lens is convex; and the thirteenth lens has positive optical power, the object side surface of the thirteenth lens is convex, and the image side surface of the thirteenth lens is concave.

[0017] In some embodiments, the first lens and the second lens are cemented together, the third lens and the fourth lens are cemented together, and the optical system further satisfies: 3.88 ≤ F34 / F12 ≤ 7.10; wherein 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.

[0018] In some embodiments, the optical system further satisfies: -3.65 < F78 / (CT7+CT8) < -2.95; wherein 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.

[0019] In some embodiments, the optical system further satisfies: 3.15 < F1112 / T1213 < 3.45; wherein F1112 is the combined focal length of the eleventh lens and the twelfth lens, and T1213 is the air separation of the twelfth lens and the thirteenth lens on the optical axis.

[0020] In some embodiments, the optical system further satisfies: -6.75 ≤ |F910| / (R17+R20) ≤ -2.09; wherein 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.

[0021] In some embodiments, the optical system further satisfies: 12.98 mm ≤ f13 / N13 ≤ 15.16 mm; wherein f13 is the effective focal length of the thirteenth lens, and N13 is the refractive index of the thirteenth lens.

[0022] In some embodiments, the optical system further satisfies: 1.10 ≤ (CT9 + CT10) / (CT11 + CT12) ≤ 2.23; wherein 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.

[0023] In some embodiments, the optical system further satisfies: 0.34 ≤ TDG2 / |F910| ≤ 1.20; wherein TDG2 is the distance from the object side surface of the sixth lens to the image side surface of the thirteenth lens on the optical axis, and F910 is the combined focal length of the ninth lens and the tenth lens.

[0024] In some embodiments, the number of lenses with optical power in the second lens group is ten, 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, the object side surface of the eighth lens is convex and the image side surface of the eighth lens is convex; the ninth lens has negative optical power, the image side surface of the ninth lens is concave; the tenth lens has positive optical power, the object side surface of the tenth lens is concave and the image side surface of the tenth lens is convex; the eleventh lens has negative optical power, the object side surface of the eleventh lens is concave and the image side surface of the eleventh lens is convex; the twelfth lens has negative optical power, the object side surface of the twelfth lens is concave and the image side surface of the twelfth lens is concave; the thirteenth lens has positive optical power, the object side surface of the thirteenth lens is convex and the image side surface of the thirteenth lens is convex; the fourteenth lens has positive optical power, the object side surface of the fourteenth lens is convex and the image side surface of the fourteenth lens is convex; and the fifteenth lens has positive optical power, the object side surface of the fifteenth lens is convex.

[0025] In some embodiments, the optical system satisfies: -8.90 ≤ (f6 + f7) / F89 ≤ -4.46; wherein 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 lens and the ninth lens.

[0026] In some embodiments, the second lens and the third lens are cemented, the fourth lens and the fifth lens are cemented, and the optical system satisfies: 0.80 < (F23 + F45) / (F23 - F45) < 1.25; wherein 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.

[0027] In some embodiments, the optical system satisfies: 4.00≤TDG2 / T1314≤4.80; wherein TDG2 is the distance on the optical axis from the object side surface of the sixth lens to the image side surface of the fifteenth lens, and T1314 is the air separation on the optical axis of the thirteenth lens and the fourteenth lens.

[0028] In some embodiments, the optical system satisfies: 1.48≤F1011 / (V10+V11)≤3.55; wherein 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.

[0029] In some embodiments, the optical system satisfies: 1.15

[0030] In some embodiments, the optical system satisfies: 13.11≤f15 / CT15≤16.94; wherein f15 is the effective focal length of the fifteenth lens, and CT15 is the center thickness of the fifteenth lens on the optical axis.

[0031] In summary, by reasonably configuring the optical system, the excellent comprehensive performance of the system in long focal length, high image quality, miniaturization and environmental adaptability is achieved through 1.95≤FG1 / f1≤7.44 and 0.65 BRIEF DESCRIPTION OF DRAWINGS

[0032] Figure 1 is a structural parameter schematic diagram of an optical system according to an embodiment of the present application;

[0033] Figure 2 is a structural schematic diagram of an optical system according to embodiment one of the present application;

[0034] Figures 3A-3C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to embodiment one of the present application;

[0035] Figure 4is a structural schematic diagram of an optical system according to Embodiment Two of the present application;

[0036] Figures 5A-5C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Two of the present application;

[0037] Figure 6 is a structural schematic diagram of an optical system according to Embodiment Three of the present application;

[0038] Figures 7A-7C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Three of the present application;

[0039] Figure 8 is a structural schematic diagram of an optical system according to Embodiment Four of the present application;

[0040] Figures 9A-9C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Four of the present application;

[0041] Figure 10 is a structural schematic diagram of an optical system according to Embodiment Five of the present application;

[0042] Figures 11A-11C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Five of the present application;

[0043] Figure 12 is a structural schematic diagram of an optical system according to Embodiment Six of the present application;

[0044] Figures 13A-13C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Six of the present application;

[0045] Figure 14 is a structural schematic diagram of an optical system according to Embodiment Seven of the present application;

[0046] Figures 15A-15C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Seven of the present application;

[0047] Figure 16 is a structural schematic diagram of an optical system according to Embodiment Eight of the present application;

[0048] Figures 17A-17C is an on-axis chromatic aberration curve schematic diagram, an astigmatism curve schematic diagram and a distortion curve schematic diagram of an optical system according to Embodiment Eight of the present application;

[0049] Figure 18is a structural schematic diagram of an optical system according to Embodiment Nine of the present application;

[0050] Figures 19A-19C is an on-axis chromatic aberration curve, an astigmatism curve and a distortion curve of an optical system according to Embodiment Nine of the present application;

[0051] Figure 20 is a structural schematic diagram of an optical system according to Embodiment Ten of the present application;

[0052] Figures 21A-21C is an on-axis chromatic aberration curve, an astigmatism curve and a distortion curve of an optical system according to Embodiment Ten of the present application;

[0053] Figure 22 is a structural schematic diagram of an optical system according to Embodiment Eleven of the present application;

[0054] Figures 23A-23C is an on-axis chromatic aberration curve, an astigmatism curve and a distortion curve of an optical system according to Embodiment Eleven of the present application;

[0055] Figure 24 is a structural schematic diagram of an optical system according to Embodiment Twelve of the present application;

[0056] Figures 25A-25C is an on-axis chromatic aberration curve, an astigmatism curve and a distortion curve of an optical system according to Embodiment Twelve of the present application.

[0057] FIG. 10 is a structural schematic diagram of an optical system according to Embodiment Nine of the present application; DETAILED DESCRIPTION

[0058] For a better understanding of the present application, various aspects of the present application will be described in greater detail below with reference to the accompanying drawings. It is to be understood that the detailed description is merely descriptive of exemplary embodiments of the present application and is not intended to limit the scope of the present application in any way. Throughout the specification, like reference numerals refer to like elements. The expression “and / or” includes any and all combinations of one or more of the associated listed items.

[0059] It should be noted that the terms first, second, third, etc. are used herein only to distinguish one feature from another, and do not denote any limitation. Thus, a first lens discussed below could also be termed a second lens or a third lens, without departing from the teachings of the present application.

[0060] In the drawings, the thickness, size, and shape of the lenses have been slightly exaggerated for ease of explanation. Specifically, the shape of the spherical or aspherical surface shown in the drawings is shown by way of example. That is, the shape of the spherical or aspherical surface is not limited to the shape of the spherical or aspherical surface shown in the drawings. The drawings are merely examples and are not drawn to scale.

[0061] In this context, the paraxial region refers to a region near the optical axis. If a lens surface is convex and the position of the convex surface is not specified, it means that the lens surface is convex at least in the paraxial region. If a lens surface is concave and the position of the concave surface is not specified, it means that the lens surface is concave at least in the paraxial region. The concave-convex judgment of the surface shape in the paraxial region can be made depending on the sign of the R value (R refers to the radius of curvature in the paraxial region). In the case of the object-side surface, when the R value is positive, it is judged to be convex, and when the R value is negative, it is judged to be concave. In the case of the image-side surface, when the R value is positive, it is judged to be concave, and when the R value is negative, it is judged to be convex.

[0062] It should also be understood that the use of the terms "including", "including have", "have", "contain" and / or "contain have", when used in this specification, indicates 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. In addition, when expressions such as "at least one of" appear after a list of listed features, they modify the entire list of features and not the individual elements of the list. In addition, when describing embodiments of the present application, the use of "may" indicates "one or more embodiments of the present application". And the term "exemplary" is intended to refer to an example or illustration.

[0063] Unless otherwise defined, all terms used in this document, including technical and scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. It should also be understood that terms (for example, terms defined in commonly used dictionaries) should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.

[0064] It should be noted that the embodiments and features of the embodiments in the present application can be combined with each other without conflict. The following embodiments only express several embodiments of the present application, which are described in detail and specifically, but can not be interpreted as a limitation on the scope of the patent of the present application. It should be noted that, for those skilled in the art, without departing from the concept of the present application, a number of modifications and improvements can be made, which are within the scope of protection of the present application. The present application will be described in detail below with reference to the drawings and in combination with the embodiments.

[0065] Please refer to Figure 1 , Figure 1 The structural schematic diagram of an optical system provided in an embodiment of the present application.

[0066] According to an aspect of the present application, the present application provides an optical system, which comprises, in order from the object side to the image side along the optical axis direction, a lens group, a diaphragm and an imaging lens 20; the lens group comprises a first lens group G1 and a second lens group G2, wherein: the first lens group G1 has positive focal power, the number of lenses with focal power in the first lens group G1 is five, including: a first lens E1 with positive focal power, the object side surface of the first lens E1 is convex; a second lens E2 with positive focal power or negative focal power; a third lens E3 with positive focal power or negative focal power; a fourth lens E4 with positive focal power or negative focal power; a fifth lens E5 with positive focal power or negative focal power; the second lens group G2 has positive focal power, the number of lenses with focal power in the second lens group G2 is at least seven, including: a sixth lens E6 with positive focal power; a seventh lens E7 with positive focal power, the object side surface of the seventh lens E7 is convex; an eighth lens E8 with positive focal power or negative focal power; a ninth lens E9 with positive focal power or negative focal power, the object side surface of the ninth lens E9 is concave; a tenth lens E10 with positive focal power or negative focal power; an eleventh lens E11 with positive focal power or negative focal power; a twelfth lens E12 with positive focal power or negative focal power; the optical system also satisfies: 1.95≤FG1 / f1≤7.44; 0.65<TDG1 / T56<2.00; wherein 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 interval on the optical axis between the fifth lens E5 and the sixth lens E6.

[0067] In summary, the optical system is reasonably configured, and through 1.95≤FG1 / f1≤7.44 and 0.65<TDG1 / T56<2.00, excellent comprehensive performance of the system in long focal length, high image quality, miniaturization and environmental adaptability is achieved. The lower limit of FG1 / f1 and TDG1 / T56 ensures that the optical system has sufficient light convergence ability, lays the foundation for long focal length design, and at the same time ensures sufficient back working distance, leaving design margin for aberration correction; the upper limit of FG1 / f1 and TDG1 / T56 suppresses the excessive strong power of the first lens E1, effectively corrects high-order spherical aberration and reduces the system sensitivity, at the same time, constraints the volume of the front group, avoids the system redundancy, is beneficial to realize the compactness, and reserves a safety margin for the thermal expansion of the lens spacing, guarantees the environmental stability.

[0068] In some embodiments, the optical system also satisfies: 0.89≤∑CTG2 / ∑CTG1≤2.25; wherein ∑CTG2 is the sum of the central thicknesses of all lenses in the second lens group G2 on the optical axis, and ∑CTG1 is the sum of the central thicknesses of all lenses in the first lens group G1 on the optical axis. Reasonably control the range of this conditional formula, through the allocation of optical path resources to achieve high performance of the system. The lower limit ensures that the second lens group G2 has sufficient thickness, provides a physical basis for using special materials and correcting high-order aberrations (such as field curvature and chromatic aberration), and significantly improves the edge image quality and resolving power; the upper limit constraints the volume of the rear group, avoids the system redundancy, ensures the balance of optical power, and suppresses the off-axis aberration. This ratio optimizes the thermal inertia matching of the front and rear groups, reduces the temperature drift, enhances the environmental stability and production yield, and is the key to realizing high image quality, low sensitivity and high reliability.

[0069] In some embodiments, the optical system also satisfies: -4.05≤f / FG2≤-0.24; wherein f is the effective focal length of the optical system, and FG2 is the combined focal length of the second lens group G2. Reasonably control the range of this conditional formula, which is the key to realizing ultra-long focal length and high image quality, and forms an inverted telephoto structure with the front group, thereby greatly extending the focal length within a limited total length. The upper limit of the ratio constrains the negative power intensity of the second lens group G2, prevents it from excessively weakening the total optical power of the system, and ensures the effectiveness of the focal length extension; the lower limit suppresses the weakness of the negative power of the second lens group G2, ensures sufficient back working distance and provides freedom for aberration correction (such as field curvature and distortion). This significantly improves the long focal length resolving power and system compactness.

[0070] 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. Controlling this conditional expression range reasonably, 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 stop position, while suppressing the excessive optical power of the twelfth lens E12 to prevent it from introducing excessive field curvature and distortion. The upper limit gives the twelfth lens E12 the necessary optical power strength, enabling it to fully correct the system's residual, especially the axial chromatic aberration and high-order spherical aberration generated by the front group and the intermediate group, and effectively flatten the image surface curvature (Petzval and), thereby improving the overall sharpness and contrast of the image. In addition, this balanced relationship also optimizes the chief ray incidence angle, ensuring optimal matching and interface compatibility with the original camera module of the mobile phone.

[0071] 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. Controlling this conditional expression range reasonably indicates that the optical power of the tenth lens E10 and the eleventh lens E11 is opposite in sign, forming an aberration-correcting pair. The lower limit of the conditional expression restricts the optical power strength of the eleventh lens E11 to prevent it from being too strong and introducing excessive field curvature and distortion, and ensures that the paired optical power is sufficient to effectively correct the axial chromatic aberration. The upper limit of the conditional expression ensures that the eleventh lens E11 has sufficient optical power to fully offset the positive spherical aberration and Petzval and generated by the tenth lens E10, thereby significantly improving the modulation transfer function performance of the center and edge of the system, achieving full-field high resolution. This optimizes the chief ray incidence angle, reduces the system's sensitivity to tolerances and temperature changes, and is one of the core designs for improving system manufacturability and environmental stability.

[0072] In some embodiments, the optical system further satisfies: 1.10≤R1 / |R10|≤2.53; wherein 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. Reasonably controlling the range of this conditional formula, the lower limit ensures that the object side surface of the first lens E1 has a relatively gentle curvature, which not only helps to expand the receiving field angle, but also effectively reduces the high-order spherical aberration and coma generated by the large-angle incident light, and significantly reduces the sensitivity to installation tolerance (such as eccentricity), thereby improving the production yield. The upper limit limits R1, and the object side surface of the first lens E1 cannot be too flat, thereby ensuring that the first lens E1 has a strong positive focal power, laying a solid foundation for the long focal length of the entire system; at the same time, the state of the light leaving the first lens group G1 is optimized, creating ideal light incidence conditions for the subsequent efficient aberration correction of the second lens group G2, and avoiding the premature accumulation of off-axis aberrations (such as astigmatism).

[0073] In some embodiments (Embodiment One to Embodiment Four), the number of lenses with optical power in the second lens group G2 is seven; 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, the object side surface of the eighth lens E8 is concave, and the image side surface is concave; the ninth lens E9 has positive optical power, and the image side surface of the ninth lens E9 is convex; the tenth lens E10 has negative optical power, the object side surface of the tenth lens E10 is concave, and the image side surface is concave; the eleventh lens E11 has positive optical power, the object side surface of the eleventh lens E11 is convex, and the image side surface is convex; the twelfth lens E12 has positive optical power, the object side surface of the twelfth lens E12 is convex, and the image side surface is convex. The second lens group G2 adopts a seven-lens configuration, and through the optimized combination of optical power and surface type, a high-performance aberration correction module is formed. The sixth lens E6 and the seventh lens E7 preliminarily converge 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, high-order spherical aberration, distortion, and magnification chromatic aberration, and significantly flattens the image surface; the eleventh lens E11 and the twelfth lens E12 (double convex, positive optical power) serve as the optical power output terminal, accurately converging the corrected light, greatly improving the modulation transfer function performance and relative luminance, and realizing perfect pupil matching with the mobile phone sensor, thereby ensuring global high-resolution and high-contrast imaging and excellent compatibility.

[0074] In some embodiments, the first lens E1 and the second lens E2 are cemented, and the optical system further satisfies: 8.83≤F12 / (CT1+CT2)≤16.28; wherein 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 the range of this conditional formula provides a balance for the optical performance and structural reliability of the core cemented group. The lower limit ensures that the cemented group has a strong enough positive refractive power, lays a foundation for realizing long focal length and high resolution, and at the same time, the physical thickness is constrained to avoid excessive higher-order 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 strong curved surfaces to efficiently correct spherical aberration and coma, and significantly reduces the system tolerance sensitivity. More importantly, sufficient lens thickness greatly enhances the structural strength and thermal stability of the cemented surface, effectively prevents the risk of delamination and suppresses thermal-induced focal shift, thereby ensuring the long-term working reliability and imaging consistency of the assembly in various environments.

[0075] In some embodiments, the third lens E3 and the fourth lens E4 are cemented, and the optical system further satisfies: -14.60≤F34 / T45≤-10.34; wherein 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 the range of this conditional formula coordinates the performance of the negative refractive power cemented group and the subsequent air gap. The negative value indicates that the cemented group is used to diverge light, and the upper limit constrains the strength of the negative refractive power to prevent excessive deterioration of astigmatism and field curvature; the lower limit ensures that it has enough strength to correct the axial chromatic aberration and higher-order spherical aberration generated by the front group. At the same time, it effectively eliminates the thermal stress between the cemented part and the adjacent lens when the temperature changes, ensuring the imaging stability and structural reliability of the lens in a wide temperature environment, which is a core design criterion for realizing high-precision aberration balancing and environmental adaptability.

[0076] In some embodiments, the optical system further satisfies: -4.80

[0077] 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 lens E10 and the eleventh lens E11. Reasonably controlling the range of this conditional expression, the upper limit restricts the sum of the radii of curvature, prevents 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, and avoids the generation of high-order astigmatism and distortion; the lower limit ensures that the curvature has sufficient strength, effectively flattens the image surface curvature and compensates for the axial chromatic aberration. This ratio optimizes the lens shape and power distribution at the same time, significantly reduces the sensitivity of the system to assembly tolerances, and enhances the thermal stability, ensuring the consistency of mass production and environmental adaptability.

[0078] 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 central thickness of the ninth lens E9 on the optical axis. Reasonably controlling the range of this conditional expression, the optimal balance between optical performance and structural stability is achieved. The lower limit ensures that the ninth lens E9 has sufficient thickness, provides a material basis for grinding high-precision optical surface shape, enables it to effectively bear optical power and correct field curvature and astigmatism, and significantly enhances the mechanical strength of the lens, reducing the adjustment sensitivity. The upper limit restricts the ninth lens E9, avoids the ninth lens E9 from being too thick and heavy, avoids introducing unnecessary spherical aberration and material absorption, ensures the effectiveness of the optical power of the second lens group G2, and maintains the compactness of the system. This ratio optimizes the thermal stability at the same time, reduces the focal point drift caused by temperature changes, and improves the yield and environmental reliability of the system.

[0079] In some embodiments (embodiment five to embodiment nine), the number of lenses with optical power in the second lens group G2 is eight, wherein: the sixth lens E6 has a convex object side surface and a convex image side surface; the seventh lens E7 has a convex image side surface; the eighth lens E8 has negative optical power, and has a concave object side surface and a concave image side surface; the ninth lens E9 has negative optical power, and has a concave image side surface; the tenth lens E10 has positive optical power, and has a convex object side surface and a convex image side surface; the eleventh lens E11 has negative optical power, and has a convex object side surface and a concave image side surface; the twelfth lens E12 has positive optical power, and has a convex object side surface and a convex image side surface; and the thirteenth lens E13 has positive optical power, and has a convex object side surface and a concave image side surface. The eight-piece second lens group G2 is matched by optical power alternation and surface type, and constitutes a high-performance aberration correction system. The sixth lens E6 and the seventh lens E7 (positive optical power) serve as a front group to efficiently converge light rays; the eighth lens E8 and the ninth lens E9 (negative optical power) form a strong negative power combination to strongly correct axial chromatic aberration and high-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 a terminal convergence group to greatly improve the modulation transfer function performance. This structure achieves an optimal balance between complex aberration correction, thermal stability, and tolerance sensitivity, and finally realizes global high-resolution imaging and perfect pupil matching with a mobile phone sensor.

[0080] In some embodiments, the first lens E1 and the second lens E2 are cemented together, the third lens E3 and the fourth lens E4 are cemented together, and the optical system further satisfies: 3.88≤F34 / F12≤7.10; wherein 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 the range of this condition formula, the lower limit ensures the dominance of the positive power group, providing sufficient basic convergence for the system, which is the basis for realizing long focal length and high resolution; at the same time, the strength of the negative power group is constrained to prevent it from excessively diverging light rays and introducing field curvature or astigmatism. The upper limit gives the negative power group sufficient strength to diverge light rays, enabling it to precisely and strongly correct the axial chromatic aberration, magnification chromatic aberration, and high-order spherical aberration generated by the positive power group, and effectively flattening the image surface (Petzval and).

[0081] 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. Reasonably controlling the range of this conditional formula, the upper limit value restricts the maximum intensity of the seventh lens E7 and the eighth lens E8 as a negative power combination to diverge light rays, preventing excessive correction from introducing astigmatism and other undesirable aberrations; the lower limit value ensures that the seventh lens E7 and the eighth lens E8 as a negative power combination have sufficient correction ability to effectively eliminate axial chromatic aberration and flatten the image field curvature. At the same time, this ratio coordinates the optical performance and mechanical structure to ensure that the lens has sufficient center thickness to maintain structural stability, reduce alignment sensitivity, and significantly improve thermal stability, allowing the lens to maintain stable imaging performance under temperature changes, ultimately achieving the design requirements of a high-performance optical system.

[0082] 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 separation of the twelfth lens E12 and the thirteenth lens E13 on the optical axis. Reasonably controlling the range of this conditional formula ensures system resolution and focal length performance; the upper limit restricts the air separation size to prevent the system from being excessively lengthened. This ratio allows the positive power combination to effectively correct the residual aberrations of 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 impact of thermal stress on imaging.

[0083] 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 of the ninth lens E9, and R20 is the radius of curvature of the image side of the tenth lens E10. Reasonably controlling the range of this conditional formula achieves high-performance aberration correction and system stability optimization, with the upper limit value restricting the negative power intensity to prevent excessive correction from introducing astigmatism and distortion; the lower limit value ensures sufficient negative power to effectively eliminate axial chromatic aberration and flatten the image field curvature. At the same time, this ratio coordinates the optical performance and surface shape to optimize the light deflection ability of the lens, significantly reducing the system's sensitivity to alignment tolerances and enhancing thermal stability, allowing the lens to maintain stable imaging performance under temperature changes, ultimately achieving the high-performance design requirements of the optical system.

[0084] 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 the range of this conditional formula optimizes the terminal 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 mobile sensor; the upper limit restricts the focal length from being too long to ensure system compactness. This ratio optimizes the refractive power distribution of the lens: a suitable refractive index allows the use of a more gentle curvature to achieve the required optical power, effectively suppressing the generation of high-order aberrations, especially spherical aberration and field curvature, and improving edge image quality; and a reasonable focal length ensures perfect connection with the front light path to complete precise beam convergence.

[0085] 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 the range of this conditional formula achieves an optimal balance of aberration correction, structural stability, and thermal performance. The lower limit ensures that the front group of lenses has sufficient thickness to provide a basis for complex surface machining and enhance spherical aberration and field curvature correction capability; the upper limit prevents the front group from being too thick and heavy, avoiding the introduction of unnecessary aberrations and system redundancy. This ratio optimizes the optical and mechanical structure matching: thicker ninth and tenth lenses E9 and E10 improve chromatic aberration correction, while reasonably thinned eleventh and twelfth lenses E11 and E12 control distortion while reducing system sensitivity.

[0086] In some embodiments, the optical system further satisfies: 0.34 ≤ TDG2 / |F910| ≤ 1.20; where TDG2 is the distance from the object side surface of the sixth lens E6 to the image side surface of the thirteenth lens E13 on the optical axis, and F910 is the combined focal length of the ninth and tenth lenses E9 and E10. Reasonably controlling the range of this conditional formula ensures that the combined lens of the ninth and tenth lenses E9 and E10 has sufficient optical power to efficiently correct chromatic and spherical aberrations, and its correction efficiency is precisely limited within a reasonable physical size.

[0087] In some of the embodiments (embodiment ten to embodiment twelve), the number of lenses with optical power in the second lens group G2 is ten, wherein: the image side surface of the sixth lens E6 is a convex surface; the image side surface of the seventh lens E7 is a concave surface; the eighth lens E8 has positive optical power, the object side surface of the eighth lens E8 is a convex surface, and the image side surface of the eighth lens E8 is a convex surface; the ninth lens E9 has negative optical power, and the image side surface of the ninth lens E9 is a concave surface; the tenth lens E10 has positive optical power, the object side surface of the tenth lens E10 is a concave surface, and the image side surface of the tenth lens E10 is a convex surface; the eleventh lens E11 has negative optical power, the object side surface of the eleventh lens E11 is a concave surface, and the image side surface of the eleventh lens E11 is a convex surface; the twelfth lens E12 has negative optical power, the object side surface of the twelfth lens E12 is a concave surface, and the image side surface of the twelfth lens E12 is a concave surface; the thirteenth lens E13 has positive optical power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a convex surface; the fourteenth lens E14 has positive optical power, the object side surface of the fourteenth lens E14 is a convex surface, and the image side surface of the fourteenth lens E14 is a convex surface; and the fifteenth lens E15 has positive optical power, and the object side surface of the fifteenth lens E15 is a convex surface. The ten-piece second lens group G2 is matched by highly complex optical power alternation and surface type, to form 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 main convergence; the ninth lens E9 opens chromatic aberration correction; the tenth lens E10 balances the image surface; the eleventh lens E11 precisely controls distortion and magnification chromatic aberration; the twelfth lens E12 strongly corrects field curvature and astigmatism; and the thirteenth lens E13, the fourteenth lens E14, and the fifteenth lens E15 (positive optical power) form a terminal strong convergence group, which significantly improves the modulation transfer function performance and perfectly matches the sensor image surface. This structure realizes the coordinated correction of chromatic aberration, spherical aberration, field curvature, distortion, and other aberrations in an extremely compact space, reduces sensitivity through optimized optical power distribution, ensures production stability, and finally achieves professional-level optical imaging quality.

[0088] In some of the embodiments, the optical system satisfies: -8.90≤(f6+f7) / F89≤-4.46; wherein 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. Reasonably controlling this conditional range realizes smooth transition of the front group light path and aberration pre-correction. The upper limit restricts the positive optical power strength of the sixth lens E6 and the seventh lens E7, preventing excessive convergence of light rays and increasing higher-order spherical aberration; and the lower limit ensures that the combined lens of the eighth lens E8 and the ninth lens E9 has sufficient negative optical power, which can effectively correct axial chromatic aberration and initially flatten the image field curve. This ratio optimizes the incident angle of the front group light, creates optimal light path conditions for subsequent complex aberration correction, significantly reduces system sensitivity, and improves thermal stability.

[0089] In some embodiments, the second lens E2 and the third lens E3 are cemented, the fourth lens E4 and the fifth lens E5 are cemented, and the optical system satisfies: 0.80 < (F23+F45) / (F23-F45) < 1.25; wherein 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. Reasonable control of the range of this condition formula realizes the optimization of aberration correction efficiency and system stability. The value near 1.0 indicates that the power intensity of the two cemented groups is close and the signs are opposite, forming a symmetrical aberration correction structure. The upper limit restricts the power difference to prevent overcorrection from causing aberration polarity reversal; the lower limit ensures that the aberration correction structure has sufficient correction ability to effectively neutralize axial chromatic aberration and high-order spherical aberration. The design makes the two cemented lenses produce complementary thermal effects, significantly reducing temperature drift.

[0090] In some embodiments, the optical system satisfies: 4.00 ≤ TDG2 / T1314 ≤ 4.80; wherein TDG2 is the distance on the optical axis from the object side of the sixth lens E6 to the image side of the fifteenth lens E15, and T1314 is the air gap on the optical axis of the thirteenth lens E13 and the fourteenth lens E14. Reasonable control of the range of this condition formula ensures sufficient air gap, providing necessary aberration correction space for the thirteenth lens E13 and the fourteenth lens E14, which are both positive lenses, especially for further suppressing high-order spherical aberration and field curvature, and optimizing the stop position to improve off-axis imaging performance; the upper limit strictly restricts the size of the gap to prevent the system from being excessively extended at the rear end, which is crucial to ensure the entire external lens structure to be compact and small in size.

[0091] In some embodiments, the optical system satisfies: 1.48 ≤ F1011 / (V10+V11) ≤ 3.55; wherein 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. Reasonable control of the range of this condition formula realizes the balance between chromatic aberration correction and optical performance. The lower limit ensures that the combination has sufficient power intensity, enabling it to effectively perform aberration correction, especially fine correction of magnification chromatic aberration; at the same time, it restricts the sum of the Abbe numbers of the selected glass materials from being too high to adopt a combination strategy of low Abbe number materials, which is the physical basis for realizing chromatic aberration correction. The upper limit prevents the power of the combination from being too strong and introducing unnecessary spherical aberration, and limits the lower limit of the sum of the material Abbe numbers, avoiding the use of materials with too strong dispersion leading to correction difficulties.

[0092] 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. Controlling this conditional range properly, the optimal balance of the system's terminal optical power and fine correction of aberration are achieved. The lower limit ensures that the fourteenth lens E14 has sufficient optical power strength, so that it can effectively participate in and complete the final convergence of light, improve the contrast and resolution of system imaging, and prevent the combined lens of the twelfth lens E12 and the thirteenth lens E13 from introducing significant higher-order spherical aberration due to excessive positive optical power. The upper limit restricts the focal length of the fourteenth lens E14, avoids insufficient back working distance or interference with the mobile sensor interface caused by too short focal length, and effectively suppresses the field curvature and astigmatism caused by strong optical power, ensuring the image quality of the edge field of view.

[0093] 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 central thickness of the fifteenth lens E15 on the optical axis. Controlling this conditional range properly, the lower limit ensures that the lens has sufficient optical power to efficiently complete the final convergence of the light beam, significantly improve the modulation transfer function performance and relative luminance of system imaging; and at the same time, the minimum thickness of the lens is restricted, providing the necessary mechanical strength to reduce the adjustment sensitivity. The upper limit prevents the lens from being too thick and heavy, avoids unnecessary high-order spherical aberration and material absorption caused by excessive central thickness, and ensures the optical efficiency and compactness of the system terminal.

[0094] According to another aspect of the present application, the present application also provides an optical system comprising, in order from the object side to the image side along the optical axis, a lens group, a stop and an imaging lens; the lens group comprises a first lens group G1 and a second lens group G2; wherein the number of lenses with optical power in the first lens group G1 is five, comprising: a first lens E1 with positive optical power, the object side surface of the first lens E1 is convex, the image side surface of the first lens E1 is convex; a second lens E2 with negative optical power, the object side surface of the second lens E2 is concave, the image side surface of the second lens E2 is convex; a third lens E3 with positive optical power, the object side surface of the third lens E3 is convex, the image side surface of the third lens E3 is convex; a fourth lens E4 with negative optical power, the object side surface of the fourth lens E4 is concave, the image side surface of the fourth lens E4 is concave; a fifth lens E5 with negative optical power, the object side surface of the fifth lens E5 is convex, the image side surface of the fifth lens E5 is concave; the number of lenses with optical power in the second lens group G2 is eight, comprising: a sixth lens E6 with positive optical power, the object side surface of the sixth lens E6 is convex, the image side surface of the sixth lens E6 is convex; a seventh lens E7 with positive optical power, the object side surface of the seventh lens E7 is convex, the image side surface of the seventh lens E7 is convex; an eighth lens E8 with negative optical power, the object side surface of the eighth lens E8 is concave, the image side surface of the eighth lens E8 is concave; a ninth lens E9 with negative optical power, the object side surface of the ninth lens E9 is concave, the image side surface of the ninth lens E9 is concave; a tenth lens E10 with positive optical power, the object side surface of the tenth lens E10 is convex, the image side surface of the tenth lens E10 is convex; an eleventh lens E11 with negative optical power, the object side surface of the eleventh lens E11 is convex, the image side surface of the eleventh lens E11 is concave; a twelfth lens E12 with positive optical power, the object side surface of the twelfth lens E12 is convex, the image side surface of the twelfth lens E12 is convex; a thirteenth lens E13 with positive optical power, the object side surface of the thirteenth lens E13 is convex, the image side surface of the thirteenth lens E13 is concave; and satisfy: the first lens E1 and the second lens E2 are cemented, the third lens E3 and the fourth lens E4 are cemented, and satisfy: 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 E3 and the fourth lens E4, F12 is the combined focal length of the first lens E1 and the second lens E2, wherein F78 is the combined focal length of the seventh lens E7 and the eighth lens E8, CT7 is the central thickness of the seventh lens E7 on the optical axis, and CT8 is the central thickness of the eighth lens E8 on the optical axis.

[0095] Rationally configuring the optical system, by setting 3.88≤F34 / F12≤7.10 and -3.65<F78 / (CT7+CT8)<-2.95 in a reasonable range, an optimal balance between complex aberration correction, system compactness, environmental adaptability and mass production stability is achieved, and finally full-range high-resolution imaging is realized. The lower limit of F34 / F12 and F78 / (CT7+CT8) ensures that the first and second cemented groups with positive refractive power dominate the converging effect, providing a long focal length basis, while constraining the matching of refractive power intensity and physical thickness; the upper limit ensures the strong correction of axial chromatic aberration and high-order spherical aberration, while balancing the image surface curvature, enhancing the mechanical stability and thermal compensation performance through sufficient lens thickness, and suppressing temperature drift.

[0096] It should be noted that those skilled in the art should understand that the number of intermediate spacer elements in the optical system can be changed without departing from the technical solutions claimed in the present application, to obtain the various results and advantages described in the present specification, which are not specifically limited by the present application. For example, the optical system can also include other numbers of intermediate spacer elements different from those described in the above embodiments, as needed.

[0097] Some specific but non-limiting examples of the above embodiments of the present application will be described in more detail below with reference to the accompanying drawings. For ease of description, in the following examples, OBJ represents the object plane of the optical system, STO represents the surface of the stop, and Si (i = 1, 2, 3...) can represent the surface of a lens in contact with air in the optical axis direction, or the cemented surface of two lenses.

[0098] Example One

[0099] Reference Figure 1 The optical system in the present application includes, in order from the object side to the image side along the optical axis, a lens group 10, a stop STO, and an imaging lens 20, and further includes an imaging plane IMG disposed on the image side of the imaging lens 20; as shown in Figure 2 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, i.e., a first lens E1 to a fifth lens E5, wherein the first lens E1 and the second lens E2 are cemented, and the third lens E3 and the fourth lens E4 are cemented, the second lens group G2 includes seven lenses, i.e., a sixth lens E6 to a twelfth lens E12, wherein the seventh lens E7 and the eighth lens E8 are cemented, and the tenth lens E10 and the eleventh lens E11 are cemented; light from an object sequentially passes through each lens of 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 plane IMG.

[0100] In this embodiment, the first lens E1 has positive refractive power, the object side surface of the first lens E1 is a convex surface, and the image side surface of the first lens E1 is a convex surface;

[0101] 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.

[0102] The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex.

[0103] The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave.

[0104] 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.

[0105] 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.

[0106] The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex.

[0107] The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave.

[0108] 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.

[0109] The tenth lens E10 has negative optical power, and the object side and image side of the tenth lens E10 are concave.

[0110] The eleventh lens E11 has positive optical power, and the object side and image side of the eleventh lens E11 are convex.

[0111] The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex.

[0112] 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).

[0113] Table 1

[0114]

[0115] 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.

[0116] Example 2

[0117] 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 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.

[0118] 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.

[0119] 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.

[0120] The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex.

[0121] The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave.

[0122] 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.

[0123] 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.

[0124] The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex.

[0125] The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave.

[0126] 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.

[0127] The tenth lens E10 has negative optical power, and the object side and image side of the tenth lens E10 are concave.

[0128] The eleventh lens E11 has positive optical power, and the object side and image side of the eleventh lens E11 are convex.

[0129] The twelfth lens E12 has positive optical power, and the object side and image side of the twelfth lens E12 are both convex.

[0130] 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).

[0131] Table 2

[0132]

[0133] 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.

[0134] Example 3

[0135] 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.

[0136] In this embodiment, the first lens E1 has positive refractive power, the object side surface of the first lens E1 is convex, and the image side surface of the first lens E1 is convex.

[0137] The second lens E2 has negative refractive power, the object side surface of the second lens E2 is concave, and the image side surface of the second lens E2 is convex.

[0138] The third lens E3 has positive refractive power, the object side surface of the third lens E3 is convex, and the image side surface of the third lens E3 is convex.

[0139] The fourth lens E4 has negative refractive power, the object side surface of the fourth lens E4 is concave, and the image side surface of the fourth lens E4 is concave.

[0140] The fifth lens E5 has positive refractive power, the object side surface of the fifth lens E5 is concave, and the image side surface of the fifth lens E5 is convex.

[0141] The sixth lens E6 has positive refractive power, the object side surface of the sixth lens E6 is convex, and the image side surface of the sixth lens E6 is concave.

[0142] The seventh lens E7 has positive refractive power, the object side surface of the seventh lens E7 is convex, and the image side surface of the seventh lens E7 is convex.

[0143] The eighth lens E8 has negative refractive power, the object side surface of the eighth lens E8 is concave, and the image side surface of the eighth lens E8 is concave.

[0144] The ninth lens E9 has positive refractive power, the object side surface of the ninth lens E9 is concave, and the image side surface of the ninth lens E9 is convex.

[0145] The tenth lens E10 has negative refractive power, the object side surface of the tenth lens E10 is concave, and the image side surface of the tenth lens E10 is concave.

[0146] The eleventh lens E11 has positive refractive power, the object side surface of the eleventh lens E11 is convex, and the image side surface of the eleventh lens E11 is convex.

[0147] The twelfth lens E12 has positive refractive power, the object side surface of the twelfth lens E12 is convex, and the image side surface of the twelfth lens E12 is convex.

[0148] In addition, Table 3 shows the basic optical parameters of the optical system of Embodiment Three, wherein the units of the radius of curvature, thickness / distance are millimeters (mm).

[0149] Table 3

[0150]

[0151] In summary, the on-axis chromatic aberration curve of the optical system in Embodiment Three is shown in FIG. 6, which indicates the degree of convergence of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Embodiment Three is shown in FIG. 7. Figure 7A 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.

[0152] Example 4

[0153] 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 8 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 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.

[0154] 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.

[0155] 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.

[0156] The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex.

[0157] The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave.

[0158] 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.

[0159] 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.

[0160] The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex.

[0161] The eighth lens E8 has negative refractive power, and the object side surface of the eighth lens E8 is a concave surface, and the image side surface of the eighth lens E8 is a concave surface;

[0162] The ninth lens E9 has positive refractive power, and the object side surface of the ninth lens E9 is a concave surface, and the image side surface of the ninth lens E9 is a convex surface;

[0163] The tenth lens E10 has negative refractive power, and the object side surface of the tenth lens E10 is a concave surface, and the image side surface of the tenth lens E10 is a concave surface;

[0164] The eleventh lens E11 has positive refractive power, and the object side surface of the eleventh lens E11 is a convex surface, and the image side surface of the eleventh lens E11 is a convex surface;

[0165] The twelfth lens E12 has positive refractive power, and the object side surface of the twelfth lens E12 is a convex surface, and the image side surface of the twelfth lens E12 is a convex surface.

[0166] In addition, Table 4 shows the basic optical parameters of the optical system of Embodiment Four, wherein the units of the radius of curvature, the thickness / distance are millimeters (mm).

[0167] Table 4

[0168]

[0169] In summary, the on-axis chromatic aberration curve of the optical system in Embodiment Four is shown in Figure 9A , which represents the degree of convergence of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Embodiment Four is shown in Figure 9B , which represents the degree of meridional image surface curvature and sagittal image surface curvature; the distortion curve of the optical system in Embodiment Four is shown in Figure 9C , which represents the degree of deformation of the actual image. According to Figure 9A , Figure 9B , Figure 9C , it can be known that the optical system in Embodiment Four can achieve good imaging quality.

[0170] It is worth noting that the above-mentioned Embodiment One to Embodiment Four are all 12-lens lenses, and the effective focal length f of the optical system is adapted to the effective focal length of the imaging lens with a focal length of 16.53 mm.

[0171] Embodiment Five

[0172] Reference Figure 1 In the present application, the optical system sequentially includes the lens group 10, the stop STO and the imaging lens 20 from the object side to the image side along the optical axis direction, and the optical system further includes an imaging surface IMG arranged on the image side of the imaging lens 20; as Figure 10As shown, in this embodiment, the lens set 10 comprises a first lens set G1 and a second lens set G2, the first lens set G1 comprises five lenses in total, i.e., the first lens E1 to the fifth lens E5, the first lens E1 and the second lens E2 are cemented, the third lens E3 and the fourth lens E4 are cemented, the second lens set G2 comprises eight lenses in total, i.e., the sixth lens E6 to the thirteenth lens E13, the seventh lens E7 and the eighth lens E8 are cemented, the ninth lens E9 and the tenth lens E10 are cemented, the eleventh lens E11 and the twelfth lens E12 are cemented; light from an object sequentially passes through the first lens E1 to the thirteenth lens E13 of the lens set 10 and each lens of the imaging lens 20, and finally forms an image on the imaging surface IMG.

[0173] In this embodiment, the first lens E1 has positive refractive power, the object side surface of the first lens E1 is a convex surface, and the image side surface of the first lens E1 is a convex surface;

[0174] The second lens E2 has negative refractive power, the object side surface of the second lens E2 is a concave surface, and the image side surface of the second lens E2 is a convex surface;

[0175] The third lens E3 has positive refractive power, the object side surface of the third lens E3 is a convex surface, and the image side surface of the third lens E3 is a convex surface;

[0176] The fourth lens E4 has negative refractive power, the object side surface of the fourth lens E4 is a concave surface, and the image side surface of the fourth lens E4 is a concave surface;

[0177] The fifth lens E5 has negative refractive power, the object side surface of the fifth lens E5 is a convex surface, and the image side surface of the fifth lens E5 is a concave surface;

[0178] The sixth lens E6 has positive refractive power, the object side surface of the sixth lens E6 is a convex surface, and the image side surface of the sixth lens E6 is a convex surface;

[0179] The seventh lens E7 has positive refractive power, the object side surface of the seventh lens E7 is a convex surface, and the image side surface of the seventh lens E7 is a convex surface;

[0180] The eighth lens E8 has negative refractive power, the object side surface of the eighth lens E8 is a concave surface, and the image side surface of the eighth lens E8 is a concave surface;

[0181] The ninth lens E9 has negative refractive power, the object side surface of the ninth lens E9 is a concave surface, and the image side surface of the ninth lens E9 is a concave surface;

[0182] The tenth lens E10 has positive refractive power, the object side surface of the tenth lens E10 is a convex surface, and the image side surface of the tenth lens E10 is a convex surface;

[0183] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a convex surface, and the image side surface of the eleventh lens E11 is a concave surface;

[0184] The twelfth lens E12 has positive refractive power, the object side surface of the twelfth lens E12 is a convex surface, and the image side surface of the twelfth lens E12 is a convex surface;

[0185] 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.

[0186] In addition, Table 5 shows the basic optical parameters of the optical system of Embodiment 5, where the units of radius of curvature and thickness / distance are millimeters (mm).

[0187] Table 5

[0188]

[0189] 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.

[0190] Example 6

[0191] 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 12 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.

[0192] 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.

[0193] 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.

[0194] The third lens E3 has positive refractive power, the object side surface of the third lens E3 is a convex surface, and the image side surface of the third lens E3 is a convex surface;

[0195] The fourth lens E4 has negative refractive power, the object side surface of the fourth lens E4 is a concave surface, and the image side surface of the fourth lens E4 is a concave surface;

[0196] The fifth lens E5 has negative refractive power, the object side surface of the fifth lens E5 is a convex surface, and the image side surface of the fifth lens E5 is a concave surface;

[0197] The sixth lens E6 has positive refractive power, the object side surface of the sixth lens E6 is a convex surface, and the image side surface of the sixth lens E6 is a convex surface;

[0198] The seventh lens E7 has positive refractive power, the object side surface of the seventh lens E7 is a convex surface, and the image side surface of the seventh lens E7 is a convex surface;

[0199] The eighth lens E8 has negative refractive power, the object side surface of the eighth lens E8 is a concave surface, and the image side surface of the eighth lens E8 is a concave surface;

[0200] The ninth lens E9 has negative refractive power, the object side surface of the ninth lens E9 is a concave surface, and the image side surface of the ninth lens E9 is a concave surface;

[0201] The tenth lens E10 has positive refractive power, the object side surface of the tenth lens E10 is a convex surface, and the image side surface of the tenth lens E10 is a convex surface;

[0202] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a convex surface, and the image side surface of the eleventh lens E11 is a concave surface;

[0203] The twelfth lens E12 has positive refractive power, the object side surface of the twelfth lens E12 is a convex surface, and the image side surface of the twelfth lens E12 is a convex surface;

[0204] The thirteenth lens E13 has positive refractive power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a concave surface.

[0205] In addition, Table 6 shows the basic optical parameters of the optical system of Embodiment Six, wherein the units of the radius of curvature, thickness / distance are millimeters (mm).

[0206] Table 6

[0207]

[0208] In summary, the on-axis chromatic aberration curve of the optical system in Embodiment Six is shown in FIG. 6, which indicates the convergence focus deviation of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Embodiment Six is shown in FIG. 7, which indicates the meridional image surface curvature and sagittal image surface curvature; the distortion curve of the optical system in Embodiment Six is shown in FIG. 8, which indicates the actual image surface deformation. Figure 13A Figure 13B Figure 13C Figure 13A ​​​, Figure 13B , Figure 13C It can be seen that the optical system in Embodiment Six can achieve good imaging quality.

[0209] Example 7

[0210] 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.

[0211] 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.

[0212] 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.

[0213] The third lens E3 has positive optical power, and the object side and image side of the third lens E3 are both convex.

[0214] The fourth lens E4 has negative optical power, and the object side and image side of the fourth lens E4 are concave.

[0215] 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.

[0216] The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex.

[0217] The seventh lens E7 has positive optical power, and the object side and image side of the seventh lens E7 are both convex.

[0218] The eighth lens E8 has negative optical power, and the object side and image side of the eighth lens E8 are concave.

[0219] The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave.

[0220] The tenth lens E10 has positive refractive power, the object side surface of the tenth lens E10 is a convex surface, and the image side surface of the tenth lens E10 is a convex surface;

[0221] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a convex surface, and the image side surface of the eleventh lens E11 is a concave surface;

[0222] The twelfth lens E12 has positive refractive power, the object side surface of the twelfth lens E12 is a convex surface, and the image side surface of the twelfth lens E12 is a convex surface;

[0223] The thirteenth lens E13 has positive refractive power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a concave surface.

[0224] In addition, Table 7 shows the basic optical parameters of the optical system of Embodiment Seven, wherein the units of the radius of curvature, the thickness / distance are millimeters (mm).

[0225] Table 7

[0226]

[0227] In summary, the on-axis chromatic aberration curve of the optical system in Embodiment Seven is shown in Figure 15A , which represents the degree of deflection of the converging focal points of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Embodiment Seven is shown in Figure 15B , which represents the degree of meridional image surface curvature and sagittal image surface curvature; the distortion curve of the optical system in Embodiment Seven is shown in Figure 15C , which represents the degree of deformation of the actual image. According to Figure 15A , Figure 15B , Figure 15C , it can be known that the optical system in Embodiment Seven can achieve good imaging quality.

[0228] Embodiment Eight

[0229] Referring to Figure 1 , in the present application, the optical system sequentially includes the lens group 10, the stop STO and the imaging lens 20 from the object side to the image side along the optical axis direction, and further includes an imaging surface IMG arranged on the image side of the imaging lens 20; as Figure 16As shown, in this embodiment, the lens set 10 comprises a first lens set G1 and a second lens set G2, the first lens set G1 comprises five lenses in total, i.e., the first lens E1 to the fifth lens E5, the first lens E1 and the second lens E2 are cemented, the third lens E3 and the fourth lens E4 are cemented, the second lens set G2 comprises eight lenses in total, i.e., the sixth lens E6 to the thirteenth lens E13, the seventh lens E7 and the eighth lens E8 are cemented, the ninth lens E9 and the tenth lens E10 are cemented, the eleventh lens E11 and the twelfth lens E12 are cemented; light from an object sequentially passes through the first lens E1 to the thirteenth lens E13 of the lens set 10 and each lens of the imaging lens 20, and finally forms an image on the imaging surface IMG.

[0230] In this embodiment, the first lens E1 has positive refractive power, the object side surface of the first lens E1 is a convex surface, and the image side surface of the first lens E1 is a convex surface;

[0231] The second lens E2 has negative refractive power, the object side surface of the second lens E2 is a concave surface, and the image side surface of the second lens E2 is a convex surface;

[0232] The third lens E3 has positive refractive power, the object side surface of the third lens E3 is a convex surface, and the image side surface of the third lens E3 is a convex surface;

[0233] The fourth lens E4 has negative refractive power, the object side surface of the fourth lens E4 is a concave surface, and the image side surface of the fourth lens E4 is a concave surface;

[0234] The fifth lens E5 has negative refractive power, the object side surface of the fifth lens E5 is a convex surface, and the image side surface of the fifth lens E5 is a concave surface;

[0235] The sixth lens E6 has positive refractive power, the object side surface of the sixth lens E6 is a convex surface, and the image side surface of the sixth lens E6 is a convex surface;

[0236] The seventh lens E7 has positive refractive power, the object side surface of the seventh lens E7 is a convex surface, and the image side surface of the seventh lens E7 is a convex surface;

[0237] The eighth lens E8 has negative refractive power, the object side surface of the eighth lens E8 is a concave surface, and the image side surface of the eighth lens E8 is a concave surface;

[0238] The ninth lens E9 has negative refractive power, the object side surface of the ninth lens E9 is a concave surface, and the image side surface of the ninth lens E9 is a concave surface;

[0239] The tenth lens E10 has positive refractive power, the object side surface of the tenth lens E10 is a convex surface, and the image side surface of the tenth lens E10 is a convex surface;

[0240] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a convex surface, and the image side surface of the eleventh lens E11 is a concave surface;

[0241] The twelfth lens E12 has positive refractive power, the object side surface of the twelfth lens E12 is a convex surface, and the image side surface of the twelfth lens E12 is a convex surface;

[0242] 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.

[0243] 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).

[0244] Table 8

[0245]

[0246] 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.

[0247] Example 9

[0248] 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.

[0249] 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.

[0250] 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.

[0251] The third lens E3 has positive refractive power, the object side surface of the third lens E3 is a convex surface, and the image side surface of the third lens E3 is a convex surface;

[0252] The fourth lens E4 has negative refractive power, the object side surface of the fourth lens E4 is a concave surface, and the image side surface of the fourth lens E4 is a concave surface;

[0253] The fifth lens E5 has negative refractive power, the object side surface of the fifth lens E5 is a convex surface, and the image side surface of the fifth lens E5 is a concave surface;

[0254] The sixth lens E6 has positive refractive power, the object side surface of the sixth lens E6 is a convex surface, and the image side surface of the sixth lens E6 is a convex surface;

[0255] The seventh lens E7 has positive refractive power, the object side surface of the seventh lens E7 is a convex surface, and the image side surface of the seventh lens E7 is a convex surface;

[0256] The eighth lens E8 has negative refractive power, the object side surface of the eighth lens E8 is a concave surface, and the image side surface of the eighth lens E8 is a concave surface;

[0257] The ninth lens E9 has negative refractive power, the object side surface of the ninth lens E9 is a concave surface, and the image side surface of the ninth lens E9 is a concave surface;

[0258] The tenth lens E10 has positive refractive power, the object side surface of the tenth lens E10 is a convex surface, and the image side surface of the tenth lens E10 is a convex surface;

[0259] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a convex surface, and the image side surface of the eleventh lens E11 is a concave surface;

[0260] The twelfth lens E12 has positive refractive power, the object side surface of the twelfth lens E12 is a convex surface, and the image side surface of the twelfth lens E12 is a convex surface;

[0261] The thirteenth lens E13 has positive refractive power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a concave surface.

[0262] In addition, Table 9 shows the basic optical parameters of the optical system of Embodiment Nine, wherein the units of the radius of curvature, thickness / distance are millimeters (mm).

[0263] Table 9

[0264]

[0265] In summary, the on-axis chromatic aberration curve of the optical system in Embodiment Nine is shown in FIG. 9, which indicates the convergence point deviation of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Embodiment Nine is shown in FIG. 10, which indicates the meridional image surface curvature and sagittal image surface curvature; the distortion curve of the optical system in Embodiment Nine is shown in FIG. 11, which indicates the actual image surface deformation. Figure 19A Figure 19B Figure 19C Figure 19A ​​​, Figure 19B , Figure 19C It can be seen that the optical system in Example 9 can achieve good imaging quality.

[0266] 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.

[0267] Example 10

[0268] 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 20 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.

[0269] 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.

[0270] 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.

[0271] 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.

[0272] The fourth lens E4 has positive optical power, and the object side and image side of the fourth lens E4 are both convex.

[0273] The fifth lens E5 has negative optical power, and the object side and image side of the fifth lens E5 are concave.

[0274] 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.

[0275] 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.

[0276] The eighth lens E8 has positive optical power, and the object side and image side of the eighth lens E8 are both convex.

[0277] The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave.

[0278] 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.

[0279] The eleventh lens E11 has negative optical power. The object side of the eleventh lens E11 is concave and the image side is convex.

[0280] The twelfth lens E12 has negative optical power, and the object side and image side of the twelfth lens E12 are concave.

[0281] The thirteenth lens E13 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex.

[0282] The fourteenth lens E14 has positive optical power, and the object side and image side of the thirteenth lens E13 are both convex.

[0283] The fifteenth lens E15 has positive optical power. The object side of the thirteenth lens E13 is convex, and the image side is concave.

[0284] 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).

[0285] Table 10

[0286]

[0287] 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.

[0288] Example 11

[0289] 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 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.

[0290] 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.

[0291] The second lens E2 has positive optical power, and the object side and image side of the second lens E2 are convex.

[0292] The third lens E3 has negative optical power, and the object side and image side of the third lens E3 are concave.

[0293] The fourth lens E4 has positive optical power, and the object side and image side of the fourth lens E4 are both convex.

[0294] The fifth lens E5 has negative optical power, and the object side and image side of the fifth lens E5 are concave.

[0295] The sixth lens E6 has positive optical power, and the object side and image side of the sixth lens E6 are both convex.

[0296] 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.

[0297] The eighth lens E8 has positive optical power, and the object side and image side of the eighth lens E8 are both convex.

[0298] The ninth lens E9 has negative optical power, and the object side and image side of the ninth lens E9 are concave.

[0299] 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.

[0300] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a concave surface, and the image side surface of the eleventh lens E11 is a convex surface;

[0301] The twelfth lens E12 has negative refractive power, the object side surface of the twelfth lens E12 is a concave surface, and the image side surface of the twelfth lens E12 is a concave surface;

[0302] The thirteenth lens E13 has positive refractive power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a convex surface;

[0303] The fourteenth lens E14 has positive refractive power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a convex surface;

[0304] The fifteenth lens E15 has positive refractive power, the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface of the thirteenth lens E13 is a concave surface.

[0305] In addition, Table 11 shows the basic optical parameters of the optical system of Example Eleven, wherein the units of the radius of curvature, the thickness / distance are millimeters (mm).

[0306] Table 11

[0307]

[0308] In summary, the on-axis chromatic aberration curve of the optical system in Example Eleven is shown in Figure 23A , which represents the convergence focus deviation of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Example Eleven is shown in Figure 23B , which represents the meridional image surface curvature and sagittal image surface curvature; the distortion curve of the optical system in Example Eleven is shown in Figure 23C , which represents the deformation degree of the actual image. According to Figure 23A , Figure 23B , Figure 23C , it can be known that the optical system in Example Eleven can achieve good imaging quality.

[0309] Example Twelve

[0310] Referring to Figure 1 , in the present application, the optical system sequentially includes the lens group 10, the stop STO and the imaging lens 20 from the object side to the image side along the optical axis, and the optical system further includes an imaging surface IMG arranged at the image side of the imaging lens 20; as Figure 24As shown, in this embodiment, the lens set 10 comprises a first lens set G1 and a second lens set G2, the first lens set G1 comprises five lenses in total, i.e., the first lens E1 to the fifth lens E5, wherein the second lens E2 and the third lens E3 are cemented, the fourth lens E4 and the fifth lens E5 are cemented, the second lens set G2 comprises ten lenses in total, i.e., the sixth lens E6 to the fifteenth lens E15, the eighth lens E8 and the ninth lens E9 are cemented, the tenth lens E10 and the eleventh lens E11 are cemented, the twelfth lens E12 and the thirteenth lens E13 are cemented; light from an object sequentially passes through the first lens E1 to the fifteenth lens E15 of the lens set 10 and each lens of the imaging lens 20, and finally forms an image on the imaging surface IMG.

[0311] In this embodiment, the first lens E1 has positive refractive power, the object side surface of the first lens E1 is a convex surface, and the image side surface of the first lens E1 is a convex surface;

[0312] The second lens E2 has positive refractive power, the object side surface of the second lens E2 is a convex surface, and the image side surface of the second lens E2 is a convex surface;

[0313] The third lens E3 has negative refractive power, the object side surface of the third lens E3 is a concave surface, and the image side surface of the third lens E3 is a concave surface;

[0314] The fourth lens E4 has positive refractive power, the object side surface of the fourth lens E4 is a convex surface, and the image side surface of the fourth lens E4 is a convex surface;

[0315] The fifth lens E5 has negative refractive power, the object side surface of the fifth lens E5 is a concave surface, and the image side surface of the fifth lens E5 is a concave surface;

[0316] The sixth lens E6 has positive refractive power, the object side surface of the sixth lens E6 is a concave surface, and the image side surface of the sixth lens E6 is a convex surface;

[0317] The seventh lens E7 has positive refractive power, the object side surface of the seventh lens E7 is a convex surface, and the image side surface of the seventh lens E7 is a concave surface;

[0318] The eighth lens E8 has positive refractive power, the object side surface of the eighth lens E8 is a convex surface, and the image side surface of the eighth lens E8 is a convex surface;

[0319] The ninth lens E9 has negative refractive power, the object side surface of the ninth lens E9 is a concave surface, and the image side surface of the ninth lens E9 is a concave surface;

[0320] The tenth lens E10 has positive refractive power, the object side surface of the tenth lens E10 is a concave surface, and the image side surface of the tenth lens E10 is a convex surface;

[0321] The eleventh lens E11 has negative refractive power, the object side surface of the eleventh lens E11 is a concave surface, and the image side surface of the eleventh lens E11 is a convex surface;

[0322] The twelfth lens E12 has negative refractive power, the object side surface of the twelfth lens E12 is a concave surface, and the image side surface of the twelfth lens E12 is a concave surface;

[0323] The thirteenth lens E13 has positive refractive power, and the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface is a convex surface;

[0324] The fourteenth lens E14 has positive refractive power, and the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface is a convex surface;

[0325] The fifteenth lens E15 has positive refractive power, and the object side surface of the thirteenth lens E13 is a convex surface, and the image side surface is a convex surface.

[0326] In addition, Table 12 shows the basic optical parameters of the optical system of Embodiment Twelve, wherein the units of the radius of curvature, thickness / distance are millimeters (mm).

[0327] Table 12

[0328]

[0329] In summary, the on-axis chromatic aberration curve of the optical system in Embodiment Twelve is shown in FIG. 12A, which indicates the degree of convergence of light rays of different wavelengths after passing through the optical system; the astigmatism curve of the optical system in Embodiment Twelve is shown in FIG. 12B, which indicates the degree of meridional image surface curvature and sagittal image surface curvature; the distortion curve of the optical system in Embodiment Twelve is shown in FIG. 12C, which indicates the degree of actual image distortion. According to Figure 25A , Figure 25B , Figure 25C , Figure 25A , Figure 25B , Figure 25C , it can be known that the optical system in Embodiment Twelve can achieve good imaging quality.

[0330] It is worth noting that the above-mentioned Embodiment Ten to Embodiment Twelve are all 15-lens lenses, and the effective focal length of the optical system is the effective focal length when the imaging lens of 22.48 mm is adapted.

[0331] In summary, in Embodiments One to Twelve, 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 central thicknesses of all lenses in the first lens group G1 on the optical axis ∑CTG1, and the sum of the central thicknesses of all lenses in the second lens group G2 on the optical axis ∑CTG2 are respectively shown in Table 13-1 and Table 13-2 as follows.

[0332] Table 13-1

[0333]

[0334] Table 13-2

[0335]

[0336] In addition, the partial optical parameters of the optical system in Embodiments 1 to 4 are shown in Table 14 below, the partial optical parameters of the optical system in Embodiments 5 to 9 are shown in Table 15 below, and the partial optical parameters of the optical system in Embodiments 10 to 12 are shown in Table 16 below. In the tables, 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.

[0337] Table 14

[0338]

[0339] Table 15

[0340]

[0341] Table 16

[0342]

[0343] In Embodiments 1 to 12, the optical system in Embodiments 1 to 6 satisfies the constraints in Table 17-1 below, and the optical system in Embodiments 7 to 12 satisfies the constraints in Table 17-2 below.

[0344] Table 17-1

[0345]

[0346] Table 17-2

[0347]

[0348] In addition, the optical system in Embodiments 1 to 4 also satisfies the constraints in Table 18 below.

[0349] Table 18

[0350]

[0351] The optical systems in Embodiments 5-9 also satisfy the constraints of the conditional expressions in Table 19 below.

[0352] Table 19

[0353]

[0354] The optical systems in Embodiments 10-12 also satisfy the constraints of the conditional expressions in Table 20 below.

[0355] Table 20

[0356]

[0357] The technical features of the above embodiments can be combined in any manner. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described, however, as long as the combinations of the technical features do not result in contradictions, they shall be considered within the scope of the present disclosure.

[0358] The above embodiments merely express several implementation manners of the present application, and the description is relatively specific and detailed, but it shall not be understood as a limitation on the patent scope of the present application. It should be noted that, for those skilled in the art, several modifications and improvements can be made without departing from the concept of the present application, and these shall be within the protection scope of the present application. Therefore, the patent protection scope of the present application shall be subject to the appended claims.

Claims

1. An optical system characterized by comprising: sequentially include a lens group, a diaphragm and an imaging lens along the optical axis direction from the object side to the image side; The lens group comprises: a first lens group with positive refractive power and a second lens group with positive refractive power; wherein, The number of lenses with refractive power in the first lens group is five, including: a first lens with positive refractive power, the object side surface of the first lens is convex; a second lens with positive refractive power or negative refractive power; a third lens with positive refractive power or negative refractive power; a fourth lens with positive refractive power or negative refractive power; a fifth lens with positive refractive power or negative refractive power; The number of lenses with refractive power in the second lens group is at least seven, including: a sixth lens with positive refractive power; a seventh lens with positive refractive power, the object side surface of the seventh lens is convex; an eighth lens with positive refractive power or negative refractive power; a ninth lens with positive refractive power or negative refractive power, the object side surface of the ninth lens is concave; a tenth lens with positive refractive power or negative refractive power; an eleventh lens with positive refractive power or negative refractive power; a twelfth lens with positive refractive power or negative refractive power; And satisfy: 1.95≤FG1 / f1≤7.44; 0.65<TDG1 / T56<2.00; wherein, 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 from the object side surface of the first lens to the image side surface of the fifth lens on the optical axis, T56 is the air gap between the fifth lens and the sixth lens on the optical axis.

2. The optical system of claim 1, wherein The optical system also satisfies: 0.89≤∑CTG2 / ∑CTG1≤2.25; wherein, ∑CTG2 is the sum of the center thicknesses of all lenses in the second lens group on the optical axis, ∑CTG1 is the sum of the center thicknesses of all lenses in the first lens group on the optical axis.

3. The optical system of claim 1, wherein The optical system also satisfies: -4.05≤f / FG2≤-0.24; wherein, f is the effective focal length of the optical system, FG2 is the combined focal length of the second lens group.

4. The optical system of claim 1, wherein The optical system also satisfies: 1.10<f6 / |f12|<5.15; wherein, f6 is the effective focal length of the sixth lens, f12 is the effective focal length of the twelfth lens.

5. The optical system of claim 1, wherein The optical system also satisfies: -3.85≤f11 / f10≤-0.85; wherein, f11 is the effective focal length of the eleventh lens, f10 is the effective focal length of the tenth lens.

6. The optical system of claim 1, wherein, The optical system also satisfies: 1.10≤R1 / |R10|≤2.53; wherein, R1 is the radius of curvature of the object side surface of the first lens, R10 is the radius of curvature of the image side surface of the fifth lens.

7. The optical system according to any one of claims 1 to 6, characterized in that The number of lenses with optical power in the second lens group is seven; wherein: the object side surface of the sixth lens is convex, the image side surface is concave; the image side surface of the seventh lens is convex; the eighth lens has negative optical power, the object side surface is concave, and the image side surface is concave; the ninth lens has positive optical power, and the image side surface is convex; the tenth lens has negative optical power, the object side surface is concave, and the image side surface is concave; the eleventh lens has positive optical power, the object side surface is convex, and the image side surface is convex; the twelfth lens has positive optical power, the object side surface is convex, and the image side surface is convex.

8. The optical system of claim 7, wherein, The first lens and the second lens are cemented, and the optical system further satisfies: 8.83≤F12 / (CT1+CT2)≤16.28; wherein, F12 is the combined focal length of the first lens and the second lens, CT1 is the central thickness of the first lens on the optical axis, and CT2 is the central thickness of the second lens on the optical axis.

9. The optical system of claim 7, wherein, The third lens and the fourth lens are cemented, and the optical system further satisfies: -14.60≤F34 / T45≤-10.34; wherein, F34 is the combined focal length of the third lens and the fourth lens, and T45 is the air gap of the fourth lens and the fifth lens on the optical axis.

10. The optical system of claim 7, wherein, The optical system further satisfies: -4.80<f9 / F78<-3.35; wherein, 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.

11. The optical system of claim 7, wherein, The optical system further satisfies: -2.25<(R19+R22) / F1011<-1.80; wherein, R19 is the curvature radius of the object side surface of the tenth lens, R22 is the curvature radius of the image side surface of the eleventh lens, and F1011 is the combined focal length of the tenth lens and the eleventh lens.

12. The optical system of claim 7, wherein, The optical system further satisfies: 3.48≤FG2 / CT9≤4.30; wherein, FG2 is the combined focal length of the second lens group, and CT9 is the central thickness of the ninth lens on the optical axis.

13. The optical system according to any one of claims 1 to 6, characterized in that The number of lenses with optical power in the second lens group is eight, and the second lens group further includes a thirteenth lens, 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, the object side surface is concave, and the image side surface is concave; the ninth lens has negative optical power, and the image side surface is concave; the tenth lens has positive optical power, the object side surface is convex, and the image side surface is convex; the eleventh lens has negative optical power, the object side surface is convex, and the image side surface is concave; the twelfth lens has positive optical power, the object side surface is convex, and the image side surface is convex; the thirteenth lens has positive optical power, the object side surface is convex, and the image side surface is concave.

14. The optical system of claim 13, wherein, The first lens and the second lens are cemented, the third lens and the fourth lens are cemented, and the optical system further satisfies: 3.88≤F34 / F12≤7.10; wherein, F34 is a combined focal length of the third lens and the fourth lens, and F12 is a combined focal length of the first lens and the second lens.

15. The optical system of claim 13, wherein, The optical system further satisfies: -3.65<F78 / (CT7+CT8)<-2.95; wherein, F78 is a combined focal length of the seventh lens and the eighth lens, CT7 is a central thickness of the seventh lens on the optical axis, and CT8 is a central thickness of the eighth lens on the optical axis.

16. The optical system of claim 13, wherein, The optical system further satisfies: 3.15<F1112 / T1213<3.45; wherein, F1112 is a combined focal length of the eleventh lens and the twelfth lens, and T1213 is an air gap of the twelfth lens and the thirteenth lens on the optical axis.

17. The optical system of claim 13, wherein, The optical system further satisfies: -6.75≤|F910| / (R17+R20)≤-2.09; wherein, F910 is a combined focal length of the ninth lens and the tenth lens, R17 is a radius of curvature of the object side surface of the ninth lens, and R20 is a radius of curvature of the image side surface of the tenth lens.

18. The optical system of claim 13, wherein, The optical system further satisfies: 12.98mm≤f13 / N13≤15.16mm; wherein, f13 is an effective focal length of the thirteenth lens, and N13 is a refractive index of the thirteenth lens.

19. The optical system of claim 13, wherein, The optical system further satisfies: 1.10≤(CT9+CT10) / (CT11+CT12)≤2.23; wherein, CT9 is a central thickness of the ninth lens on the optical axis, CT10 is a central thickness of the tenth lens on the optical axis, CT11 is a central thickness of the eleventh lens on the optical axis, and CT12 is a central thickness of the twelfth lens on the optical axis.

20. The optical system of claim 13, wherein, The optical system further satisfies: 0.34≤TDG2 / |F910|≤1.20; wherein, TDG2 is a distance from the object side surface of the sixth lens to the image side surface of the thirteenth lens on the optical axis, and F910 is a combined focal length of the ninth lens and the tenth lens.

21. The optical system according to any one of claims 1 to 6, characterized by The second lens group has ten lenses with optical power, and further comprises a thirteenth lens, a fourteenth lens and a fifteenth lens, 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, the object side surface of the eighth lens is convex, and the image side surface of the eighth lens is convex; the ninth lens has negative optical power, and the image side surface of the ninth lens is concave; the tenth lens has positive optical power, the object side surface of the tenth lens is concave, and the image side surface of the tenth lens is convex; the eleventh lens has negative optical power, the object side surface of the eleventh lens is concave, and the image side surface of the eleventh lens is convex; the twelfth lens has negative optical power, the object side surface of the twelfth lens is concave, and the image side surface of the twelfth lens is concave; the thirteenth lens has positive optical power, the object side surface of the thirteenth lens is convex, and the image side surface of the thirteenth lens is convex; the fourteenth lens has positive optical power, the object side surface of the fourteenth lens is convex, and the image side surface of the fourteenth lens is convex; and the fifteenth lens has positive optical power, and the object side surface of the fifteenth lens is convex.

22. The optical system of claim 21, wherein, The optical system satisfies: -8.90≤(f6+f7) / F89≤-4.46; wherein 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 lens and the ninth lens.

23. The optical system of claim 21, wherein, The second lens and the third lens are cemented, the fourth lens and the fifth lens are cemented, and the optical system satisfies: 0.80<(F23+F45) / (F23-F45)<1.25; wherein 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.

24. The optical system of claim 21, wherein, The optical system satisfies: 4.00≤TDG2 / T1314≤4.80; wherein TDG2 is the distance on the optical axis from the object side surface of the sixth lens to the image side surface of the fifteenth lens, and T1314 is the air gap on the optical axis of the thirteenth lens and the fourteenth lens.

25. The optical system of claim 21, wherein, The optical system satisfies: 1.48≤F1011 / (V10+V11)≤3.55; wherein 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.

26. The optical system of claim 21, wherein, The optical system satisfies: 1.15 27. The optical system of claim 21, wherein, The optical system satisfies: 13.11≤f15 / CT15≤16.94; wherein f15 is the effective focal length of the fifteenth lens, and CT15 is the central thickness of the fifteenth lens on the optical axis.

Images