Optical imaging system

Abstract

This disclosure relates to an optical imaging system. The optical imaging system includes a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens, which are arranged sequentially along the optical axis of the optical imaging system from the object side of the optical imaging system toward the image plane of the optical imaging system. The first and second lenses have a positive composite focal length, the third lens has a negative refractive power, two of the first to ninth lenses are joined together, and the optical imaging system satisfies 0 ≤ |fa / Va-fb / Vb| < 3, where fa is the focal length of the lens positioned closer to the object side of the two joined lenses, Va is the Abbe number of the lens positioned closer to the object side, fb is the focal length of the lens positioned closer to the image plane of the two joined lenses, and Vb is the Abbe number of the lens positioned closer to the image plane.

Description

[0001] Cross-reference to related applications

[0002] This application claims the benefit of priority to Korean Patent Application No. 10-2024-0071100, filed on May 30, 2024, with the Korean Intellectual Property Office, the entire disclosure of which is incorporated herein by reference for all purposes. Technical Field

[0003] This disclosure relates to optical imaging systems. Background Technology

[0004] The mobile terminal may be equipped with a camera, which includes an optical imaging system consisting of multiple lenses, enabling video calls and image capture.

[0005] As the functionality of cameras in mobile devices gradually increases, the demand for high-resolution cameras for mobile devices is also increasing.

[0006] Furthermore, as mobile devices become smaller, cameras used in mobile devices need to become thinner, thus requiring the development of an optical imaging system that can achieve high resolution while remaining thin. Utility Model Content

[0007] This summary is provided to present the selection of concepts in a simplified form, while these concepts are further described in the following detailed description. This summary is not intended to identify key or essential features of the claimed subject matter, nor is it intended to help determine the scope of the claimed subject matter.

[0008] In one general aspect, an optical imaging system includes: a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens, which are arranged sequentially along the optical axis of the optical imaging system from the object side of the optical imaging system toward the image plane of the optical imaging system. The first and second lenses have a positive composite focal length, the third lens has a negative refractive power, and two of the first to ninth lenses are joined together. Furthermore, the optical imaging system satisfies 0 ≤ |fa / Va - fb / Vb| < 3, where fa is the focal length of the lens positioned closer to the object side of the optical imaging system, Va is the Abbe number of the lens positioned closer to the object side of the optical imaging system, fb is the focal length of the lens positioned closer to the image plane of the optical imaging system, and Vb is the Abbe number of the lens positioned closer to the image plane of the optical imaging system.

[0009] The optical imaging system can satisfy -0.4 < f1 / (f×100) < 0.7, where f1 is the focal length of the first lens and f is the total focal length of the optical imaging system.

[0010] The optical imaging system can satisfy 0.5 < f2 / f < 1.5, where f2 is the focal length of the second lens and f is the total focal length of the optical imaging system.

[0011] The optical imaging system can satisfy -2 < f3 / f < 0, where f3 is the focal length of the third lens and f is the total focal length of the optical imaging system.

[0012] The optical imaging system can satisfy 0.5 < f4 / f < 3, where f4 is the focal length of the fourth lens and f is the total focal length of the optical imaging system.

[0013] The optical imaging system can satisfy -9 < f5 / f < -1, where f5 is the focal length of the fifth lens and f is the total focal length of the optical imaging system.

[0014] The optical imaging system can satisfy -1 < f6 / (f×100) < 0, where f6 is the focal length of the sixth lens and f is the total focal length of the optical imaging system.

[0015] The optical imaging system can satisfy -7 < f7 / f < -2, where f7 is the focal length of the seventh lens and f is the total focal length of the optical imaging system.

[0016] The optical imaging system can satisfy 0.5 < f8 / f < 2, where f8 is the focal length of the eighth lens and f is the total focal length of the optical imaging system.

[0017] The optical imaging system can satisfy -2 < f9 / f < 0, where f9 is the focal length of the ninth lens and f is the total focal length of the optical imaging system.

[0018] The optical imaging system can satisfy 1 < TTL / f < 1.4 and 0 < BFL / f < 0.3, where TTL is the distance along the optical axis from the object side of the first lens to the image plane, BFL is the distance along the optical axis from the image side of the ninth lens to the image plane, and f is the total focal length of the optical imaging system.

[0019] The optical imaging system can satisfy 0.5 < TTL / (2×IMG HT) < 0.8, where TTL is the distance along the optical axis from the object side of the first lens to the image plane and IMG HT is half of the diagonal length of the image plane.

[0020] The optical imaging system can satisfy 1.5 < f / EPD < 2, where f is the total focal length of the optical imaging system, EPD is the entrance pupil diameter of the optical imaging system, and f / EPD is the F-number of the optical imaging system.

[0021] The optical imaging system can satisfy 1.3 < AVE(Va, Vb) / Vc < 2, where AVE(Va, Vb) is the average of the Abbe numbers of two cemented lenses, and Vc is the Abbe number of the lens positioned adjacent to the two cemented lenses on the image side of the first lens to the ninth lens.

[0022] The optical imaging system may further include an adhesive layer that joins the two cemented lenses together, where the refractive index of the adhesive layer is greater than the refractive index of the lens with the smaller refractive index among the two cemented lenses and less than the refractive index of the lens with the larger refractive index among the two cemented lenses.

[0023] The optical imaging system may further include an adhesive layer that joins the two cemented lenses together, where the optical imaging system satisfies 10 < Vg < 80, where Vg is the Abbe number of the adhesive layer.

[0024] The optical imaging system can satisfy 60° < FOV × (IMG HT / f) < 90°, where FOV is the field of view of the optical imaging system, IMG HT is half of the diagonal length of the image plane, and f is the total focal length of the optical imaging system

[0025] The optical imaging system can satisfy 6 < |f1 / f2| < 55, where f1 is the focal length of the first lens and f2 is the focal length of the second lens.

[0026] The optical imaging system can satisfy 0.7 < f12 / f < 1, where f12 is the combined focal length of the first lens and the second lens, and f is the total focal length of the optical imaging system.

[0027] The optical imaging system can satisfy -11 < f34 / f < -3, where f34 is the combined focal length of the third lens and the fourth lens, and f is the total focal length of the optical imaging system.

[0028] The optical imaging system can satisfy -6 < f56 / f < 0, where f56 is the combined focal length of the fifth lens and the sixth lens, and f is the total focal length of the optical imaging system.

[0029] Other features and aspects will be apparent from the following detailed description, the drawings, and the claims. Description of the Drawings

[0030] Figure 1 is a configuration diagram of an optical imaging system according to a first embodiment of the present disclosure.

[0031] Figure 2 It is shown Figure 1 A view of the aberration characteristics of the optical imaging system shown.

[0032] Figure 3 This is a configuration diagram of an optical imaging system according to a second embodiment of the present disclosure.

[0033] Figure 4 It is shown Figure 3 A view of the aberration characteristics of the optical imaging system shown.

[0034] Figure 5 This is a configuration diagram of an optical imaging system according to a third embodiment of the present disclosure.

[0035] Figure 6 It is shown Figure 5 A view of the aberration characteristics of the optical imaging system shown.

[0036] Figure 7 This is a configuration diagram of an optical imaging system according to the fourth embodiment of this disclosure.

[0037] Figure 8 It is shown Figure 7 A view of the aberration characteristics of the optical imaging system shown.

[0038] Figure 9 This is a configuration diagram of an optical imaging system according to the fifth embodiment of this disclosure.

[0039] Figure 10 It is shown Figure 9 A view of the aberration characteristics of the optical imaging system shown.

[0040] Figure 11 This is a configuration diagram of an optical imaging system according to the sixth embodiment of this disclosure.

[0041] Figure 12 It is shown Figure 11 A view of the aberration characteristics of the optical imaging system shown.

[0042] Figure 13 This is a configuration diagram of an optical imaging system according to the seventh embodiment of this disclosure.

[0043] Figure 14 It is shown Figure 13 A view of the aberration characteristics of the optical imaging system shown.

[0044] Figure 15 This is a configuration diagram of an optical imaging system according to the eighth embodiment of this disclosure.

[0045] Figure 16 It is shown Figure 15 A view of the aberration characteristics of the optical imaging system shown.

[0046] Figure 17 This is a configuration diagram of an optical imaging system according to the ninth embodiment of this disclosure.

[0047] Figure 18 It is shown Figure 17 A view of the aberration characteristics of the optical imaging system shown.

[0048] Figure 19 This is a configuration diagram of an optical imaging system according to the tenth embodiment of this disclosure.

[0049] Figure 20 It is shown Figure 19 A view of the aberration characteristics of the optical imaging system shown.

[0050] Figure 21 This is a configuration diagram of an optical imaging system according to the eleventh embodiment of this disclosure.

[0051] Figure 22 It is shown Figure 21 A view of the aberration characteristics of the optical imaging system shown.

[0052] Throughout the accompanying drawings and specific embodiments, the same reference numerals denote the same elements. For clarity, illustration, and convenience, the drawings may not be drawn to scale, and the relative dimensions, scale, and descriptions of the elements in the drawings may be exaggerated. Detailed Implementation

[0053] The following detailed embodiments are provided to help the reader gain a comprehensive understanding of the methods, apparatus, and / or systems described herein. However, various changes, modifications, and equivalents of the methods, apparatus, and / or systems described herein will be apparent after understanding the disclosure of this application. For example, the order of operations described herein is merely illustrative and is not limited to the order set forth herein, but can be changed as will be apparent after understanding the disclosure of this application, except for operations that must occur in a certain order. Furthermore, for clarity and brevity, descriptions of features known in the art may be omitted.

[0054] The features described herein may be implemented in different forms and should not be construed as limited to the examples described herein. Rather, the examples described herein are provided merely to illustrate some of the many possible ways in which the methods, apparatus, and / or systems described herein will be apparent upon understanding the disclosure of this application.

[0055] Throughout the specification, when an element (such as a layer, region, or substrate) is described as being "on," "connected to," or "attached to" another element, it may be directly "on," directly "connected to," or directly "attached to" the other element, or there may be one or more other elements in between. Conversely, when an element is described as being "directly" "on," "directly connected to," or "directly attached to" another element, there are no other elements in between.

[0056] As used herein, the term “and / or” includes any one of the associated listed items and any combination of any two or more of the associated listed items.

[0057] Although terms such as “first,” “second,” and “third” may be used in this document to describe various components, assemblies, regions, layers, or parts, these components, assemblies, regions, layers, or parts are not limited by these terms. Rather, these terms are used only to distinguish one component, assembly, region, layer, or part from another. Therefore, the first component, first assembly, first region, first layer, or first part mentioned in the examples described herein may also be referred to as a second component, second assembly, second region, second layer, or second part without departing from the teachings of the examples.

[0058] For ease of description, spatial relative terms such as “above,” “upper,” “below,” and “lower” are used herein to describe the relationship between one element and another, as shown in the accompanying drawings. In addition to the orientation depicted in the drawings, these spatial relative terms are intended to also include different orientations of the device during use or operation. For example, if the device in the drawings is flipped, an element described as “above” or “upper” relative to another element will consequently be “below” or “lower” relative to said other element. Therefore, the term “above” includes both upper and lower orientations, depending on the spatial orientation of the device. The device may also be oriented in other ways (e.g., rotated 90 degrees or in other orientations), and the spatial relative terms used herein will be interpreted accordingly.

[0059] The terminology used herein is for the purpose of describing various examples only and is not intended to limit this disclosure. The terms “a,” “an,” and “the” are intended to include the plural meaning as well, unless the context clearly indicates otherwise. The terms “comprising,” “including,” and “having” specify the presence of the stated features, quantities, operations, components, elements, and / or combinations thereof, but do not exclude the presence or addition of one or more other features, quantities, operations, components, elements, and / or combinations thereof.

[0060] In the lens configuration diagrams in the accompanying drawings of this application, for ease of explanation, the thickness, size, and shape of the lenses may be slightly exaggerated, and in particular, the spherical or aspherical shapes shown in the lens configuration diagrams are merely illustrative and are not limited to the shapes shown.

[0061] An optical imaging system according to an embodiment of the present disclosure may include nine lenses.

[0062] The first lens refers to the lens closest to the object side of the optical imaging system, and the ninth lens refers to the lens closest to the image plane (or image sensor) of the optical imaging system.

[0063] Furthermore, in this specification, the units for the radius of curvature, thickness, focal length, distance, and other quantities of the lens are expressed in mm, and the units for the field of view (FOV) of the optical imaging system are expressed in degrees.

[0064] Furthermore, in the description of the shape of each lens, a statement that the surface has a convex shape means that the paraxial region of the surface is convex, and a statement that the surface has a concave shape means that the paraxial region of the surface is concave.

[0065] Therefore, even when a surface of a lens is described as having a convex shape, the edge or peripheral region of said surface of the lens may be concave. Similarly, even when a surface of a lens is described as having a concave shape, the edge or peripheral region of said surface of the lens may be convex.

[0066] The paraxial region of a lens surface refers to a very narrow area on the lens surface that is close to the optical axis.

[0067] More specifically, the paraxial region of the lens surface is the central portion of the lens surface surrounding the optical axis and including the optical axis of the lens surface, in which light rays incident on the lens surface form a small angle θ with the optical axis, and the approximations sinθ≈θ, tanθ≈θ, and cosθ≈1 are valid.

[0068] The image plane is a virtual surface on which an optical imaging system focuses its light. Alternatively, the image plane refers to the surface of an image sensor that receives light.

[0069] An optical imaging system according to an embodiment of the present disclosure may include nine lenses.

[0070] For example, an optical imaging system according to an embodiment of this disclosure may include a first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens, which are arranged sequentially along the optical axis of the optical imaging system from the object side of the optical imaging system toward the image plane of the optical imaging system. Two lenses from the first to the ninth lens may be joined together. Two joined lenses may be joined together by an adhesive layer. The other seven lenses from the first to the ninth lens may be spaced apart from each other by a predetermined distance along the optical axis of the optical imaging system.

[0071] An optical imaging system according to an embodiment of the present disclosure may further include an image sensor for converting an incident image of an object into an electrical signal.

[0072] In addition, the optical imaging system may also include an infrared blocking filter (hereinafter referred to as the filter) for blocking infrared light. The filter may be positioned between the ninth lens and the image sensor.

[0073] Furthermore, the optical imaging system may also include an aperture for controlling the amount of light incident on the image plane of the optical imaging system. The first to ninth lenses constituting the optical imaging system according to embodiments of the present disclosure may be made of various plastic materials.

[0074] Furthermore, at least one of the first to ninth lenses has an aspherical surface. For example, each of the first to ninth lenses may have at least one aspherical surface.

[0075] For example, any one or both of the object-side and image-side surfaces of each of the first to ninth lenses can be aspherical surfaces. In this case, the aspherical surfaces of the first to ninth lenses can be represented by the following Equation 1:

[0076] [Formula 1]

[0077]

[0078] In Equation 1, c is the curvature of the lens surface, which is equal to the reciprocal of the radius of curvature of the lens surface at the optical axis. K is the conic constant, and Y is the distance from any point on the aspherical surface of the lens to the optical axis. Furthermore, constants A to H, J, and L to P are aspherical surface coefficients. Z (also called sag) is the distance in a direction parallel to the optical axis between a point on the aspherical surface of the lens at a distance Y from the optical axis and a tangent plane perpendicular to the optical axis and intersecting the vertex of the aspherical surface.

[0079] The optical imaging system according to the embodiments of this disclosure can satisfy any one or any combination of two or more of the following conditional expressions 1 to 22:

[0080] 0 ≤ |fa / Va - fb / Vb| < 3 (Conditional Expression 1)

[0081] -0.4 < f1 / (f×100) < 0.7 (Conditional Expression 2)

[0082] 0.5 < f2 / f < 1.5 (Conditional Expression 3)

[0083] -2 < f3 / f < 0 (Conditional Expression 4)

[0084] 0.5 < f4 / f < 3 (Conditional Expression 5)

[0085] -9 < f5 / f < -1 (Conditional Expression 6)

[0086] -1 < f6 / (f×100) < 0 (Conditional Expression 7)

[0087] -7 < f7 / f < -2 (Conditional Expression 8)

[0088] 0.5 < f8 / f < 2 (Conditional Expression 9)

[0089] -2 < f9 / f < 0 (Conditional Expression 10)

[0090] 1 < TTL / f < 1.4 (Conditional Expression 11)

[0091] 0 < BFL / f < 0.3 (Conditional Expression 12)

[0092] 0.5 < TTL / (2×IMG HT) < 0.8 (Conditional Expression 13)

[0093] 1.5 < f / EPD < 2 (Conditional Expression 14)

[0094] 60° < FOV×(IMG HT / f) < 90° (Conditional Expression 15)

[0095] 1.3 < AVE(Va,Vb) / Vc < 2 (Conditional Expression 16)

[0096] 6 < |f1 / f2| < 55 (Conditional Expression 17)

[0097] 0.7 < f12 / f < 1 (Conditional Expression 18)

[0098] -11 < f34 / f < -3 (Conditional Expression 19)

[0099] -6 < f56 / f < 0 (Conditional Expression 20)

[0100] Nb < refractive index of the adhesive layer < Na (conditional expression 21)

[0101] 10 < Vg < 80 (conditional expression 22)

[0102] In an embodiment, the optical imaging system can satisfy 0 ≤ |fa / Va - fb / Vb| < 3 (conditional expression 1). In this case, fa is the focal length of the lens that is closer to the object side of the optical imaging system among two mutually engaged lenses from the first lens to the ninth lens, Va is the Abbe number of the lens that is closer to the object side of the optical imaging system among the two engaged lenses, fb is the focal length of the lens that is closer to the image plane of the optical imaging system among the two engaged lenses, and Vb is the Abbe number of the lens that is closer to the image plane of the optical imaging system among the two engaged lenses. Therefore, chromatic aberration can be reduced.

[0103] In an embodiment, the optical imaging system can satisfy -0.4 < f1 / (f×100) < 0.7 (conditional expression 2). In this case, f1 is the focal length of the first lens starting from the object side of the optical imaging system, and f is the total focal length of the optical imaging system. Therefore, the occurrence of aberration can be minimized by appropriately adjusting the refractive power of the first lens.

[0104] In an embodiment, the optical imaging system can satisfy 0.5 < f2 / f < 1.5 (conditional expression 3). In this case, f2 is the focal length of the second lens starting from the object side of the optical imaging system. Therefore, the occurrence of aberration can be minimized by appropriately adjusting the refractive power of the second lens.

[0105] In an embodiment, the optical imaging system can satisfy -2 < f3 / f < 0 (conditional expression 4). In this case, f3 is the focal length of the third lens starting from the object side of the optical imaging system. Therefore, the occurrence of aberration can be minimized by appropriately adjusting the refractive power of the third lens.

[0106] In an embodiment, the optical imaging system can satisfy 0.5 < f4 / f < 3 (conditional expression 5). In this case, f4 is the focal length of the fourth lens starting from the object side of the optical imaging system. Therefore, the occurrence of aberration can be minimized by appropriately adjusting the refractive power of the fourth lens.

[0107] In an embodiment, the optical imaging system can satisfy -9 < f5 / f < -1 (conditional expression 6). In this case, f5 is the focal length of the fifth lens starting from the object side of the optical imaging system. Therefore, the occurrence of aberration can be minimized by appropriately adjusting the refractive power of the fifth lens.

[0108] In an embodiment, the optical imaging system may satisfy -1 < f6 / (f×100) < 0 (conditional expression 7). In this case, f6 is the focal length of the sixth lens starting from the object side of the optical imaging system. Therefore, the occurrence of aberration can be minimized by appropriately adjusting the refractive power of the sixth lens.

[0109] In an embodiment, the optical imaging system may satisfy -7 < f7 / f < -2 (conditional expression 8). In this case, f7 is the focal length of the seventh lens starting from the object side of the optical imaging system. Therefore, the resolution of the peripheral part of the image can be improved, and the field curvature phenomenon can be reduced.

[0110] In an embodiment, the optical imaging system may satisfy 0.5 < f8 / f < 2 (conditional expression 9). In this case, f8 is the focal length of the eighth lens starting from the object side of the optical imaging system. Therefore, the resolution of the peripheral part of the image can be improved, and the field curvature phenomenon can be reduced.

[0111] In an embodiment, the optical imaging system may satisfy -2 < f9 / f < 0 (conditional expression 10). In this case, f9 is the focal length of the ninth lens starting from the object side of the optical imaging system. Therefore, the resolution of the peripheral part of the image can be improved, and the field curvature phenomenon can be reduced.

[0112] In an embodiment, the optical imaging system may satisfy 1 < TTL / f < 1.4 (conditional expression 11). In this case, TTL is the optical axis distance from the object side surface of the first lens to the image plane of the optical imaging system. Therefore, the optical imaging system can be miniaturized while improving the resolution of the image.

[0113] In an embodiment, the optical imaging system may satisfy 0 < BFL / f < 0.3 (conditional expression 12). In this case, BFL is the optical axis distance from the image side surface of the ninth lens to the image plane. Therefore, the optical imaging system can be miniaturized while improving the resolution of the image.

[0114] In an embodiment, the optical imaging system may satisfy 0.5 < TTL / (2×IMG HT) < 0.8 (conditional expression 13). In this case, IMG HT is half of the diagonal length of the image plane. Therefore, the optical imaging system can be miniaturized while improving the resolution of the image.

[0115] In an embodiment, the optical imaging system may satisfy 1.5 < f / EPD < 2 (conditional expression 14). In this case, EPD is the entrance pupil diameter of the optical imaging system, and f / EPD is the F-number of the optical imaging system. Therefore, the brightness and resolution of the image can be improved.

[0116] In an embodiment, the optical imaging system can satisfy 60° < FOV × (IMG HT / f) < 90° (conditional expression 15). In this case, FOV is the field of view of the optical imaging system.

[0117] In an embodiment, the optical imaging system can satisfy 1.3 < AVE(Va, Vb) / Vc < 2 (conditional expression 16). In this case, AVE(Va, Vb) is the average Abbe number of two cemented lenses, and Vc is the Abbe number of a lens disposed adjacent to the two cemented lenses on the image side of the two cemented lenses. Therefore, chromatic aberration can be reduced.

[0118] In an embodiment, the optical imaging system can satisfy 6 < |f1 / f2| < 55 (conditional expression 17). In this case, f1 is the focal length of the first lens, and f2 is the focal length of the second lens. Therefore, the resolution can be improved by appropriately adjusting the refractive power of the first lens and the refractive power of the second lens.

[0119] In an embodiment, the optical imaging system can satisfy 0.7 < f12 / f < 1 (conditional expression 18), where f12 is the combined focal length of the first lens and the second lens. Therefore, the resolution can be improved by appropriately adjusting the refractive power of the first lens and the refractive power of the second lens.

[0120] In an embodiment, the optical imaging system can satisfy -11 < f34 / f < -3 (conditional expression 19), where f34 is the combined focal length of the third lens and the fourth lens. Therefore, the resolution can be improved by appropriately adjusting the refractive power of the third lens and the refractive power of the fourth lens.

[0121] In an embodiment, the optical imaging system can satisfy -6 < f56 / f < 0 (conditional expression 20), where f56 is the combined focal length of the fifth lens and the sixth lens. Therefore, the resolution can be improved by appropriately adjusting the refractive power of the fifth lens and the refractive power of the sixth lens.

[0122] In an embodiment, two of the first lens to the ninth lens can be joined to each other by an adhesive layer, and the refractive index of the adhesive layer can satisfy Nb < refractive index of the adhesive layer < Na (conditional expression 21). In this case, Na is the refractive index of the lens disposed closer to the object side of the optical imaging system among the two cemented lenses, and Nb is the refractive index of the lens disposed closer to the image plane among the two cemented lenses.

[0123] In an embodiment, the Abbe number (Vg) of the adhesive layer can satisfy 10 < Vg < 80 (conditional expression 22).

[0124] The first lens can have positive or negative refractive power. Furthermore, the first lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the first lens can be convex in the paraxial region, and the image side of the first lens can be concave in the paraxial region.

[0125] The second lens can have positive refractive power. Furthermore, the second lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the second lens can be convex in the paraxial region, and the image side of the second lens can be concave in the paraxial region.

[0126] The combined focal length of the first and second lenses can be positive.

[0127] The third lens can have negative refractive power. Furthermore, the third lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the third lens can be convex in the paraxial region, and the image side of the third lens can be concave in the paraxial region.

[0128] The fourth lens can have positive refractive power. Furthermore, the fourth lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the fourth lens can be convex in the paraxial region, and the image side of the fourth lens can be concave in the paraxial region.

[0129] The fifth lens can have negative refractive power. Furthermore, the fifth lens can have concave shapes on both surfaces. For example, the object-side and image-side of the fifth lens can be concave in the paraxial region.

[0130] Alternatively, the fifth lens may have a meniscus shape that convexes toward the object side of the optical imaging system. For example, the object side of the fifth lens may be convex in the paraxial region, and the image side of the fifth lens may be concave in the paraxial region.

[0131] Alternatively, the fifth lens may have a meniscus shape that convexes toward the image side of the optical imaging system. For example, the object side of the fifth lens may be concave in the paraxial region, and the image side of the fifth lens may be convex in the paraxial region.

[0132] The sixth lens can have negative refractive power. Furthermore, the sixth lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the sixth lens can be convex in the paraxial region, and the image side of the sixth lens can be concave in the paraxial region.

[0133] Alternatively, the sixth lens may have a meniscus shape that convexes toward the image side of the optical imaging system. For example, the object side of the sixth lens may be concave in the paraxial region, and the image side of the sixth lens may be convex in the paraxial region.

[0134] The seventh lens can have negative refractive power. Furthermore, the seventh lens can have a meniscus shape that convexes towards the image side of the optical imaging system. For example, the object side of the seventh lens can be concave in the paraxial region, and the image side of the seventh lens can be convex in the paraxial region.

[0135] The eighth lens can have positive refractive power. Furthermore, the eighth lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the eighth lens can be convex in the paraxial region, and the image side of the eighth lens can be concave in the paraxial region.

[0136] The ninth lens can have negative refractive power. Furthermore, the ninth lens can have a meniscus shape that convexes towards the object side of the optical imaging system. For example, the object side of the ninth lens can be convex in the paraxial region, and the image side of the ninth lens can be concave in the paraxial region.

[0137] Furthermore, either or both of the eighth and ninth lenses may have at least one inflection point on either or both of the object-side and image-side surfaces. For example, the object-side surface of the eighth lens may be convex in the paraxial region and concave in the peripheral region outside the paraxial region. The image-side surface of the eighth lens may be concave in the paraxial region and convex in the peripheral region outside the paraxial region.

[0138] Two lenses in a multi-lens optical imaging system can be joined together. For example, in these two joined lenses, the image-side surface of the lens positioned closer to the object side and the object-side surface of the lens positioned closer to the image side can be joined together.

[0139] In this embodiment, the first lens and the second lens can be joined together. For example, the image-side surface of the first lens and the object-side surface of the second lens can be joined together.

[0140] In this embodiment, the third lens and the fourth lens can be coupled together. For example, the image-side surface of the third lens and the object-side surface of the fourth lens can be coupled together.

[0141] In this embodiment, the fifth lens and the sixth lens can be joined together. For example, the image-side surface of the fifth lens and the object-side surface of the sixth lens can be joined together.

[0142] In one embodiment, the two joining lenses can be joined together by an adhesive layer. The maximum thickness of the adhesive layer can be from 1 μm to 50 μm when the two joining lenses are joined together.

[0143] In an implementation, the joint surfaces of the two joint lenses (e.g., the image-side surface of the lens closer to the object side of the optical imaging system and the object-side surface of the lens closer to the image plane of the optical imaging system) can be spherical surfaces with the same radius of curvature.

[0144] In this implementation, the joining surfaces of the two joining lenses (e.g., the image-side surface of the lens closer to the object side of the optical imaging system and the object-side surface of the lens closer to the image plane of the optical imaging system) can be aspherical surfaces with the same radius of curvature and the same aspherical shape. When the joining surfaces are aspherical, the aspheric coefficients of the joining surfaces can be the same.

[0145] In an optical imaging system with nine lenses, three lenses can have an Abbe number less than 33. All lenses with an Abbe number less than 33 can have negative refractive power.

[0146] The optical imaging system can have a field of view greater than 75°. In some embodiments, the field of view of the optical imaging system can be less than 90°.

[0147] Figure 1 This is a configuration diagram of an optical imaging system according to a first embodiment of the present disclosure, and Figure 2 It is shown Figure 1 A view of the aberration characteristics of the optical imaging system shown.

[0148] Reference Figure 1 The optical imaging system 100 according to the first embodiment of the present disclosure may include a first lens 110, a second lens 120, a third lens 130, a fourth lens 140, a fifth lens 150, a sixth lens 160, a seventh lens 170, an eighth lens 180 and a ninth lens 190, and may also include a filter F and an image sensor (not shown).

[0149] The optical imaging system 100 according to the first embodiment of this disclosure can form a focal point on an image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0150] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 1.

[0151] Table 1

[0152]

[0153] In a first embodiment of this disclosure, the first lens 110 may have negative refractive power, the object side of the first lens 110 may have a convex shape in the paraxial region, and the image side of the first lens 110 may have a concave shape in the paraxial region.

[0154] The second lens 120 may have positive refractive power, the object side of the second lens 120 may have a convex shape in the paraxial region, and the image side of the second lens 120 may have a concave shape in the paraxial region.

[0155] The first lens 110 and the second lens 120 can be joined together. For example, the image side of the first lens 110 and the object side of the second lens 120 can be joined together.

[0156] The first lens 110 and the second lens 120 can be joined together by an adhesive layer 115.

[0157] The third lens 130 may have negative refractive power, the object side of the third lens 130 may have a convex shape in the paraxial region, and the image side of the third lens 130 may have a concave shape in the paraxial region.

[0158] The fourth lens 140 may have positive refractive power, the object side of the fourth lens 140 may have a convex shape in the paraxial region, and the image side of the fourth lens 140 may have a concave shape in the paraxial region.

[0159] The fifth lens 150 may have negative refractive power, and the object side and image side of the fifth lens 150 may be concave in the paraxial region.

[0160] The sixth lens 160 can have negative refractive power, the object side of the sixth lens 160 can be convex in the paraxial region, and the image side of the sixth lens 160 can be concave in the paraxial region.

[0161] The seventh lens 170 can have negative refractive power, the object side of the seventh lens 170 can be concave in the paraxial region, and the image side of the seventh lens 170 can be convex in the paraxial region.

[0162] The eighth lens 180 can have positive refractive power, the object side of the eighth lens 180 can be convex in the paraxial region, and the image side of the eighth lens 180 can be concave in the paraxial region.

[0163] The ninth lens 190 can have negative refractive power, the object side of the ninth lens 190 can be convex in the paraxial region, and the image side of the ninth lens 190 can be concave in the paraxial region.

[0164] Furthermore, either or both of the eighth lens 180 and the ninth lens 190 may have at least one inflection point on either or both of the object side and the image side.

[0165] Each of the surfaces of the first lens 110 to the ninth lens 190 may have aspheric coefficients as shown in Table 2. For example, the object-side surface and the image-side surface of the first lens 110 to the ninth lens 190 may all be aspherical.

[0166] Table 2

[0167]

[0168]

[0169] Furthermore, the optical imaging system 100 according to the first embodiment of this disclosure may have Figure 2 The aberration characteristics shown are illustrated.

[0170] Figure 3 This is a configuration diagram of an optical imaging system according to a second embodiment of the present disclosure, and Figure 4 It is shown Figure 3 A view of the aberration characteristics of the optical imaging system shown.

[0171] Reference Figure 3 The optical imaging system 200 according to the second embodiment of the present disclosure may include a first lens 210, a second lens 220, a third lens 230, a fourth lens 240, a fifth lens 250, a sixth lens 260, a seventh lens 270, an eighth lens 280 and a ninth lens 290, and may also include a filter F and an image sensor (not shown).

[0172] The optical imaging system 200 according to the second embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0173] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 3.

[0174] Table 3

[0175]

[0176] In the second embodiment of this disclosure, the first lens 210 may have positive refractive power, the object side of the first lens 210 may have a convex shape in the paraxial region, and the image side of the first lens 210 may have a concave shape in the paraxial region.

[0177] The second lens 220 may have positive refractive power, the object side of the second lens 220 may have a convex shape in the paraxial region, and the image side of the second lens 220 may have a concave shape in the paraxial region.

[0178] The third lens 230 may have negative refractive power, the object side of the third lens 230 may have a convex shape in the paraxial region, and the image side of the third lens 230 may have a concave shape in the paraxial region.

[0179] The fourth lens 240 may have positive refractive power, the object side of the fourth lens 240 may have a convex shape in the paraxial region, and the image side of the fourth lens 240 may have a concave shape in the paraxial region.

[0180] The third lens 230 and the fourth lens 240 can be joined together. For example, the image side of the third lens 230 and the object side of the fourth lens 240 can be joined together.

[0181] The third lens 230 and the fourth lens 240 can be joined together by the adhesive layer 235.

[0182] The fifth lens 250 may have negative refractive power, the object side of the fifth lens 250 may have a convex shape in the paraxial region, and the image side of the fifth lens 250 may have a concave shape in the paraxial region.

[0183] The sixth lens 260 may have negative refractive power, the object side of the sixth lens 260 may have a convex shape in the paraxial region, and the image side of the sixth lens 260 may have a concave shape in the paraxial region.

[0184] The seventh lens 270 can have negative refractive power, the object side of the seventh lens 270 can have a concave shape in the paraxial region, and the image side of the seventh lens 270 can have a convex shape in the paraxial region.

[0185] The eighth lens 280 can have positive refractive power, the object side of the eighth lens 280 can have a convex shape in the paraxial region, and the image side of the eighth lens 280 can have a concave shape in the paraxial region.

[0186] The ninth lens 290 may have negative refractive power, the object side of the ninth lens 290 may have a convex shape in the paraxial region, and the image side of the ninth lens 290 may have a concave shape in the paraxial region.

[0187] Furthermore, either or both of the eighth lens 280 and the ninth lens 290 may have at least one inflection point on either or both of the object side and the image side.

[0188] Each of the surfaces of the first lens 210 through the ninth lens 290 may have aspheric coefficients as shown in Table 4. For example, the object-side and image-side surfaces of the first lens 210, the second lens 220, and the fifth lens 250 through the ninth lens 290 may all be aspherical. The object-side surface of the third lens 230 and the image-side surface of the fourth lens 240 may be aspherical, and the image-side surface of the third lens 230 and the object-side surface of the fourth lens 240 may be spherical.

[0189] Table 4

[0190]

[0191]

[0192]

[0193] Furthermore, the optical imaging system 200 according to the second embodiment of this disclosure may have Figure 4 The aberration characteristics shown are illustrated.

[0194] Figure 5 This is a configuration diagram of an optical imaging system according to a third embodiment of the present disclosure, and Figure 6 It is shown Figure 5 A view of the aberration characteristics of the optical imaging system shown.

[0195] Reference Figure 5 The optical imaging system 300 according to the third embodiment of the present disclosure may include a first lens 310, a second lens 320, a third lens 330, a fourth lens 340, a fifth lens 350, a sixth lens 360, a seventh lens 370, an eighth lens 380 and a ninth lens 390, and may also include a filter F and an image sensor (not shown).

[0196] The optical imaging system 300 according to the third embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0197] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 5.

[0198] Table 5

[0199]

[0200]

[0201] In the third embodiment of this disclosure, the first lens 310 may have positive refractive power, the object side of the first lens 310 may have a convex shape in the paraxial region, and the image side of the first lens 310 may have a concave shape in the paraxial region.

[0202] The second lens 320 may have positive refractive power, the object side of the second lens 320 may have a convex shape in the paraxial region, and the image side of the second lens 320 may have a concave shape in the paraxial region.

[0203] The third lens 330 may have negative refractive power, the object side of the third lens 330 may have a convex shape in the paraxial region, and the image side of the third lens 330 may have a concave shape in the paraxial region.

[0204] The fourth lens 340 may have positive refractive power, the object side of the fourth lens 340 may have a convex shape in the paraxial region, and the image side of the fourth lens 340 may have a concave shape in the paraxial region.

[0205] The third lens 330 and the fourth lens 340 can be joined together. For example, the image side of the third lens 330 and the object side of the fourth lens 340 can be joined together.

[0206] The third lens 330 and the fourth lens 340 can be joined together by an adhesive layer 335.

[0207] The fifth lens 350 may have negative refractive power, the object side of the fifth lens 350 may have a convex shape in the paraxial region, and the image side of the fifth lens 350 may have a concave shape in the paraxial region.

[0208] The sixth lens 360 can have negative refractive power, the object side of the sixth lens 360 can have a convex shape in the paraxial region, and the image side of the sixth lens 360 can have a concave shape in the paraxial region.

[0209] The seventh lens 370 can have negative refractive power, the object side of the seventh lens 370 can have a concave shape in the paraxial region, and the image side of the seventh lens 370 can have a convex shape in the paraxial region.

[0210] The eighth lens 380 can have positive refractive power, the object side of the eighth lens 380 can have a convex shape in the paraxial region, and the image side of the eighth lens 380 can have a concave shape in the paraxial region.

[0211] The ninth lens 390 can have negative refractive power, the object side of the ninth lens 390 can have a convex shape in the paraxial region, and the image side of the ninth lens 390 can have a concave shape in the paraxial region.

[0212] Furthermore, either or both of the eighth lens 380 and the ninth lens 390 may have at least one inflection point on either or both of the object side and the image side.

[0213] Each of the surfaces of the first lens 310 to the ninth lens 390 may have aspheric coefficients as shown in Table 6. For example, the object-side and image-side surfaces of the first lens 310 to the ninth lens 390 may all be aspherical.

[0214] Table 6

[0215]

[0216]

[0217]

[0218] Furthermore, the optical imaging system 300 according to the third embodiment of this disclosure may have Figure 6 The aberration characteristics shown are illustrated.

[0219] Figure 7 This is a configuration diagram of an optical imaging system according to the fourth embodiment of this disclosure, and Figure 8 It is shown Figure 7 A view of the aberration characteristics of the optical imaging system shown.

[0220] Reference Figure 7 The optical imaging system 400 according to the fourth embodiment of the present disclosure may include a first lens 410, a second lens 420, a third lens 430, a fourth lens 440, a fifth lens 450, a sixth lens 460, a seventh lens 470, an eighth lens 480 and a ninth lens 490, and may also include a filter F and an image sensor (not shown).

[0221] The optical imaging system 400 according to the fourth embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0222] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 7.

[0223] Table 7

[0224]

[0225]

[0226] In the fourth embodiment of this disclosure, the first lens 410 may have positive refractive power, the object side of the first lens 410 may have a convex shape in the paraxial region, and the image side of the first lens 410 may have a concave shape in the paraxial region.

[0227] The second lens 420 may have positive refractive power, the object side of the second lens 420 may have a convex shape in the paraxial region, and the image side of the second lens 420 may have a concave shape in the paraxial region.

[0228] The third lens 430 may have negative refractive power, the object side of the third lens 430 may have a convex shape in the paraxial region, and the image side of the third lens 430 may have a concave shape in the paraxial region.

[0229] The fourth lens 440 may have positive refractive power, the object side of the fourth lens 440 may have a convex shape in the paraxial region, and the image side of the fourth lens 440 may have a concave shape in the paraxial region.

[0230] The fifth lens 450 may have negative refractive power, the object side of the fifth lens 450 may have a concave shape in the paraxial region, and the image side of the fifth lens 450 may have a convex shape in the paraxial region.

[0231] The sixth lens 460 may have negative refractive power, the object side of the sixth lens 460 may have a concave shape in the paraxial region, and the image side of the sixth lens 460 may have a convex shape in the paraxial region.

[0232] The fifth lens 450 and the sixth lens 460 can be joined together. For example, the image side of the fifth lens 450 and the object side of the sixth lens 460 can be joined together.

[0233] The fifth lens 450 and the sixth lens 460 can be joined together by an adhesive layer 455.

[0234] The seventh lens 470 can have negative refractive power, the object side of the seventh lens 470 can have a concave shape in the paraxial region, and the image side of the seventh lens 470 can have a convex shape in the paraxial region.

[0235] The eighth lens 480 can have positive refractive power, the object side of the eighth lens 480 can have a convex shape in the paraxial region, and the image side of the eighth lens 480 can have a concave shape in the paraxial region.

[0236] The ninth lens 490 may have negative refractive power, the object side of the ninth lens 490 may have a convex shape in the paraxial region, and the image side of the ninth lens 490 may have a concave shape in the paraxial region.

[0237] Furthermore, either or both of the eighth lens 480 and the ninth lens 490 may have at least one inflection point on either or both of the object side and the image side.

[0238] Each of the surfaces of the first lens 410 to the ninth lens 490 may have aspheric coefficients as shown in Table 8. For example, the object-side and image-side surfaces of the first lens 410 to the fourth lens 440 and the seventh lens 470 to the ninth lens 490 may all be aspherical. The object-side surface of the fifth lens 450 and the image-side surface of the sixth lens 460 may be aspherical, and the image-side surface of the fifth lens 450 and the object-side surface of the sixth lens 460 may be spherical.

[0239] Table 8

[0240]

[0241]

[0242] Furthermore, the optical imaging system 400 according to the fourth embodiment of this disclosure may have Figure 8 The aberration characteristics shown are illustrated.

[0243] Figure 9 This is a configuration diagram of an optical imaging system according to the fifth embodiment of this disclosure, and Figure 10 It is shown Figure 9 A view of the aberration characteristics of the optical imaging system shown.

[0244] Reference Figure 9 The optical imaging system 500 according to the fifth embodiment of the present disclosure may include a first lens 510, a second lens 520, a third lens 530, a fourth lens 540, a fifth lens 550, a sixth lens 560, a seventh lens 570, an eighth lens 580 and a ninth lens 590, and may also include a filter F and an image sensor (not shown).

[0245] The optical imaging system 500 according to the fifth embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0246] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 9.

[0247] Table 9

[0248]

[0249] In the fifth embodiment of this disclosure, the first lens 510 may have positive refractive power, the object side of the first lens 510 may have a convex shape in the paraxial region, and the image side of the first lens 510 may have a concave shape in the paraxial region.

[0250] The second lens 520 may have positive refractive power, the object side of the second lens 520 may have a convex shape in the paraxial region, and the image side of the second lens 520 may have a concave shape in the paraxial region.

[0251] The third lens 530 may have negative refractive power, the object side of the third lens 530 may have a convex shape in the paraxial region, and the image side of the third lens 530 may have a concave shape in the paraxial region.

[0252] The fourth lens 540 may have positive refractive power, the object side of the fourth lens 540 may have a convex shape in the paraxial region, and the image side of the fourth lens 540 may have a concave shape in the paraxial region.

[0253] The fifth lens 550 may have negative refractive power, the object side of the fifth lens 550 may have a concave shape in the paraxial region, and the image side of the fifth lens 550 may have a convex shape in the paraxial region.

[0254] The sixth lens 560 may have negative refractive power, the object side of the sixth lens 560 may have a concave shape in the paraxial region, and the image side of the sixth lens 560 may have a convex shape in the paraxial region.

[0255] The fifth lens 550 and the sixth lens 560 can be joined together. For example, the image side of the fifth lens 550 and the object side of the sixth lens 560 can be joined together.

[0256] The fifth lens 550 and the sixth lens 560 can be joined together by an adhesive layer 555.

[0257] The seventh lens 570 can have negative refractive power, the object side of the seventh lens 570 can have a concave shape in the paraxial region, and the image side of the seventh lens 570 can have a convex shape in the paraxial region.

[0258] The eighth lens 580 can have positive refractive power, the object side of the eighth lens 580 can have a convex shape in the paraxial region, and the image side of the eighth lens 580 can have a concave shape in the paraxial region.

[0259] The ninth lens 590 may have negative refractive power, the object side of the ninth lens 590 may have a convex shape in the paraxial region, and the image side of the ninth lens 590 may have a concave shape in the paraxial region.

[0260] Furthermore, either or both of the eighth lens 580 and the ninth lens 590 may have at least one inflection point on either or both of the object side and the image side.

[0261] Each of the surfaces of the first lens 510 to the ninth lens 590 may have aspheric coefficients as shown in Table 10. For example, the object-side surface and image-side surface of the first lens 510 to the ninth lens 590 may all be aspherical.

[0262] Table 10

[0263]

[0264]

[0265] Furthermore, the optical imaging system 500 according to the fifth embodiment of this disclosure may have Figure 10 The aberration characteristics shown are illustrated.

[0266] Figure 11 This is a configuration diagram of an optical imaging system according to the sixth embodiment of this disclosure, and Figure 12 It is shown Figure 11 A view of the aberration characteristics of the optical imaging system shown.

[0267] Reference Figure 11 The optical imaging system 600 according to the sixth embodiment of the present disclosure may include a first lens 610, a second lens 620, a third lens 630, a fourth lens 640, a fifth lens 650, a sixth lens 660, a seventh lens 670, an eighth lens 680 and a ninth lens 690, and may also include a filter F and an image sensor (not shown).

[0268] The optical imaging system 600 according to the sixth embodiment of this disclosure can form a focal point on an image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0269] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 11.

[0270] Table 11

[0271]

[0272] In the sixth embodiment of this disclosure, the first lens 610 may have negative refractive power, the object side of the first lens 610 may have a convex shape in the paraxial region, and the image side of the first lens 610 may have a concave shape in the paraxial region.

[0273] The second lens 620 may have positive refractive power, the object side of the second lens 620 may have a convex shape in the paraxial region, and the image side of the second lens 620 may have a concave shape in the paraxial region.

[0274] The first lens 610 and the second lens 620 can be joined together. For example, the image-side surface of the first lens 610 and the object-side surface of the second lens 620 can be joined together.

[0275] The first lens 610 and the second lens 620 can be joined together by an adhesive layer 615.

[0276] The third lens 630 may have negative refractive power, the object side of the third lens 630 may have a convex shape in the paraxial region, and the image side of the third lens 630 may have a concave shape in the paraxial region.

[0277] The fourth lens 640 may have positive refractive power, the object side of the fourth lens 640 may have a convex shape in the paraxial region, and the image side of the fourth lens 640 may have a concave shape in the paraxial region.

[0278] The fifth lens 650 may have negative refractive power, and the object side and image side of the fifth lens 650 may have concave shapes in the paraxial region.

[0279] The sixth lens 660 may have negative refractive power, the object side of the sixth lens 660 may have a convex shape in the paraxial region, and the image side of the sixth lens 660 may have a concave shape in the paraxial region.

[0280] The seventh lens 670 can have negative refractive power, the object side of the seventh lens 670 can have a concave shape in the paraxial region, and the image side of the seventh lens 670 can have a convex shape in the paraxial region.

[0281] The eighth lens 680 can have positive refractive power, the object side of the eighth lens 680 can have a convex shape in the paraxial region, and the image side of the eighth lens 680 can have a concave shape in the paraxial region.

[0282] The ninth lens 690 can have negative refractive power, the object side of the ninth lens 690 can have a convex shape in the paraxial region, and the image side of the ninth lens 690 can have a concave shape in the paraxial region.

[0283] Furthermore, either or both of the eighth lens 680 and the ninth lens 690 may have at least one inflection point on either or both of the object side and the image side.

[0284] Each of the surfaces of the first lens 610 to the ninth lens 690 may have aspheric coefficients as shown in Table 12. For example, the object-side and image-side surfaces of the third lens 630 to the ninth lens 690 may all be aspherical. Furthermore, the object-side surface of the first lens 610 and the image-side surface of the second lens 620 may be aspherical, and the image-side surface of the first lens 610 and the object-side surface of the second lens 620 may be spherical.

[0285] Table 12

[0286]

[0287]

[0288] Furthermore, the optical imaging system 600 according to the sixth embodiment of this disclosure may have Figure 12 The aberration characteristics shown are illustrated.

[0289] Figure 13 This is a configuration diagram of an optical imaging system according to the seventh embodiment of this disclosure, and Figure 14 It is shown Figure 13 A view of the aberration characteristics of the optical imaging system shown.

[0290] Reference Figure 13 The optical imaging system 700 according to the seventh embodiment of the present disclosure may include a first lens 710, a second lens 720, a third lens 730, a fourth lens 740, a fifth lens 750, a sixth lens 760, a seventh lens 770, an eighth lens 780 and a ninth lens 790, and may also include a filter F and an image sensor (not shown).

[0291] The optical imaging system 700 according to the seventh embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0292] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index and Abbe number) of each of the lenses and filters can be shown in Table 13.

[0293] Table 13

[0294]

[0295]

[0296] In the seventh embodiment of this disclosure, the first lens 710 may have negative refractive power, the object side of the first lens 710 may have a convex shape in the paraxial region, and the image side of the first lens 710 may have a concave shape in the paraxial region.

[0297] The second lens 720 may have positive refractive power, the object side of the second lens 720 may have a convex shape in the paraxial region, and the image side of the second lens 720 may have a concave shape in the paraxial region.

[0298] The first lens 710 and the second lens 720 can be joined together. For example, the image side of the first lens 710 and the object side of the second lens 720 can be joined together.

[0299] The first lens 710 and the second lens 720 can be joined together by the adhesive layer 715.

[0300] The third lens 730 may have negative refractive power, the object side of the third lens 730 may have a convex shape in the paraxial region, and the image side of the third lens 730 may have a concave shape in the paraxial region.

[0301] The fourth lens 740 may have positive refractive power, the object side of the fourth lens 740 may have a convex shape in the paraxial region, and the image side of the fourth lens 740 may have a concave shape in the paraxial region.

[0302] The fifth lens 750 can have negative refractive power, and the object side and image side of the fifth lens 750 can have a concave shape in the paraxial region.

[0303] The sixth lens 760 may have negative refractive power, the object side of the sixth lens 760 may have a convex shape in the paraxial region, and the image side of the sixth lens 760 may have a concave shape in the paraxial region.

[0304] The seventh lens 770 can have negative refractive power, the object side of the seventh lens 770 can have a concave shape in the paraxial region, and the image side of the seventh lens 770 can have a convex shape in the paraxial region.

[0305] The eighth lens 780 can have positive refractive power, the object side of the eighth lens 780 can have a convex shape in the paraxial region, and the image side of the eighth lens 780 can have a concave shape in the paraxial region.

[0306] The ninth lens 790 can have negative refractive power, the object side of the ninth lens 790 can have a convex shape in the paraxial region, and the image side of the ninth lens 790 can have a concave shape in the paraxial region.

[0307] Furthermore, either or both of the eighth lens 780 and the ninth lens 790 may have at least one inflection point on either or both of the object side and the image side.

[0308] Each of the surfaces of the first lens 710 to the ninth lens 790 may have aspheric coefficients as shown in Table 14. For example, the object-side and image-side surfaces of the first lens 710 to the ninth lens 790 may all be aspherical.

[0309] Table 14

[0310]

[0311]

[0312]

[0313] Furthermore, the optical imaging system 700 according to the seventh embodiment of this disclosure may have Figure 14 The aberration characteristics shown are illustrated.

[0314] Figure 15 This is a configuration diagram of an optical imaging system according to the eighth embodiment of this disclosure, and Figure 16 It is shown Figure 15 A view of the aberration characteristics of the optical imaging system shown.

[0315] Reference Figure 15 The optical imaging system 800 according to the eighth embodiment of the present disclosure may include a first lens 810, a second lens 820, a third lens 830, a fourth lens 840, a fifth lens 850, a sixth lens 860, a seventh lens 870, an eighth lens 880 and a ninth lens 890, and may also include a filter F and an image sensor (not shown).

[0316] The optical imaging system 800 according to the eighth embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0317] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index, and Abbe number) of each of the lenses and filters can be shown in Table 15.

[0318] Table 15

[0319]

[0320]

[0321] In the eighth embodiment of this disclosure, the first lens 810 may have positive refractive power, the object side of the first lens 810 may have a convex shape in the paraxial region, and the image side of the first lens 810 may have a concave shape in the paraxial region.

[0322] The second lens 820 may have positive refractive power, the object side of the second lens 820 may have a convex shape in the paraxial region, and the image side of the second lens 820 may have a concave shape in the paraxial region.

[0323] The third lens 830 may have negative refractive power, the object side of the third lens 830 may have a convex shape in the paraxial region, and the image side of the third lens 830 may have a concave shape in the paraxial region.

[0324] The fourth lens 840 can have positive refractive power, the object side of the fourth lens 840 can have a convex shape in the paraxial region, and the image side of the fourth lens 840 can have a concave shape in the paraxial region.

[0325] The third lens 830 and the fourth lens 840 can be joined together. For example, the image side of the third lens 830 and the object side of the fourth lens 840 can be joined together.

[0326] The third lens 830 and the fourth lens 840 can be joined together by the adhesive layer 835.

[0327] The fifth lens 850 may have negative refractive power, the object side of the fifth lens 850 may have a convex shape in the paraxial region, and the image side of the fifth lens 850 may have a concave shape in the paraxial region.

[0328] The sixth lens 860 may have negative refractive power, the object side of the sixth lens 860 may have a convex shape in the paraxial region, and the image side of the sixth lens 860 may have a concave shape in the paraxial region.

[0329] The seventh lens 870 can have negative refractive power, the object side of the seventh lens 870 can have a concave shape in the paraxial region, and the image side of the seventh lens 870 can have a convex shape in the paraxial region.

[0330] The eighth lens 880 can have positive refractive power, the object side of the eighth lens 880 can have a convex shape in the paraxial region, and the image side of the eighth lens 880 can have a concave shape in the paraxial region.

[0331] The ninth lens 890 can have negative refractive power, the object side of the ninth lens 890 can have a convex shape in the paraxial region, and the image side of the ninth lens 890 can have a concave shape in the paraxial region.

[0332] Furthermore, either or both of the eighth lens 880 and the ninth lens 890 may have at least one inflection point on either or both of the object side and the image side.

[0333] Each of the surfaces of the first lens 810 to the ninth lens 890 may have aspheric coefficients as shown in Table 16. For example, the object-side and image-side surfaces of the first lens 810, the second lens 820, and the fifth lens 850 to the ninth lens 890 may all be aspherical. Furthermore, the object-side surface of the third lens 830 and the image-side surface of the fourth lens 840 may be aspherical, and the image-side surface of the third lens 830 and the object-side surface of the fourth lens 840 may be spherical.

[0334] Table 16

[0335]

[0336]

[0337] Furthermore, the optical imaging system 800 according to the eighth embodiment of this disclosure may have Figure 16 The aberration characteristics shown are illustrated.

[0338] Figure 17 This is a configuration diagram of an optical imaging system according to the ninth embodiment of this disclosure, and Figure 18 It is shown Figure 17 A view of the aberration characteristics of the optical imaging system shown.

[0339] Reference Figure 17 The optical imaging system 900 according to the ninth embodiment of the present disclosure may include a first lens 910, a second lens 920, a third lens 930, a fourth lens 940, a fifth lens 950, a sixth lens 960, a seventh lens 970, an eighth lens 980 and a ninth lens 990, and may also include a filter F and an image sensor (not shown).

[0340] The optical imaging system 900 according to the ninth embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0341] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index and Abbe number) of each of the lenses and filters can be shown in Table 17.

[0342] Table 17

[0343]

[0344] In the ninth embodiment of this disclosure, the first lens 910 may have positive refractive power, the object side of the first lens 910 may have a convex shape in the paraxial region, and the image side of the first lens 910 may have a concave shape in the paraxial region.

[0345] The second lens 920 may have positive refractive power, the object side of the second lens 920 may have a convex shape in the paraxial region, and the image side of the second lens 920 may have a concave shape in the paraxial region.

[0346] The third lens 930 may have negative refractive power, the object side of the third lens 930 may have a convex shape in the paraxial region, and the image side of the third lens 930 may have a concave shape in the paraxial region.

[0347] The fourth lens 940 may have positive refractive power, the object side of the fourth lens 940 may have a convex shape in the paraxial region, and the image side of the fourth lens 940 may have a concave shape in the paraxial region.

[0348] The third lens 930 and the fourth lens 940 can be joined together. For example, the image side of the third lens 930 and the object side of the fourth lens 940 can be joined together.

[0349] The third lens 930 and the fourth lens 940 can be joined together by an adhesive layer 935.

[0350] The fifth lens 950 can have negative refractive power, the object side of the fifth lens 950 can have a convex shape in the paraxial region, and the image side of the fifth lens 950 can have a concave shape in the paraxial region.

[0351] The sixth lens 960 can have negative refractive power, the object side of the sixth lens 960 can have a convex shape in the paraxial region, and the image side of the sixth lens 960 can have a concave shape in the paraxial region.

[0352] The seventh lens 970 can have negative refractive power, the object side of the seventh lens 970 can have a concave shape in the paraxial region, and the image side of the seventh lens 970 can have a convex shape in the paraxial region.

[0353] The eighth lens 980 can have positive refractive power, the object side of the eighth lens 980 can have a convex shape in the paraxial region, and the image side of the eighth lens 980 can have a concave shape in the paraxial region.

[0354] The ninth lens 990 can have negative refractive power, the object side of the ninth lens 990 can have a convex shape in the paraxial region, and the image side of the ninth lens 990 can have a concave shape in the paraxial region.

[0355] Furthermore, either or both of the eighth lens 980 and the ninth lens 990 may have at least one inflection point on either or both of the object side and the image side.

[0356] Each of the surfaces of the first lens 910 to the ninth lens 990 may have aspheric coefficients as shown in Table 18. For example, the object-side and image-side surfaces of the first lens 910 to the ninth lens 990 may all be aspherical.

[0357] Table 18

[0358]

[0359]

[0360] Furthermore, the optical imaging system 900 according to the ninth embodiment of this disclosure may have Figure 18 The aberration characteristics shown are illustrated.

[0361] Figure 19 This is a configuration diagram of an optical imaging system according to the tenth embodiment of this disclosure, and Figure 20 It is shown Figure 19 A view of the aberration characteristics of the optical imaging system shown.

[0362] Reference Figure 19 The optical imaging system 1000 according to the tenth embodiment of the present disclosure may include a first lens 1010, a second lens 1020, a third lens 1030, a fourth lens 1040, a fifth lens 1050, a sixth lens 1060, a seventh lens 1070, an eighth lens 1080 and a ninth lens 1090, and may also include a filter F and an image sensor (not shown).

[0363] The optical imaging system 1000 according to the tenth embodiment of this disclosure can form a focal point on an image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0364] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index and Abbe number) of each of the lenses and filters can be shown in Table 19.

[0365] Table 19

[0366]

[0367] In the tenth embodiment of this disclosure, the first lens 1010 may have positive refractive power, the object side of the first lens 1010 may have a convex shape in the paraxial region, and the image side of the first lens 1010 may have a concave shape in the paraxial region.

[0368] The second lens 1020 may have positive refractive power, the object side of the second lens 1020 may have a convex shape in the paraxial region, and the image side of the second lens 1020 may have a concave shape in the paraxial region.

[0369] The third lens 1030 may have negative refractive power, the object side of the third lens 1030 may have a convex shape in the paraxial region, and the image side of the third lens 1030 may have a concave shape in the paraxial region.

[0370] The fourth lens 1040 may have positive refractive power, the object side of the fourth lens 1040 may have a convex shape in the paraxial region, and the image side of the fourth lens 1040 may have a concave shape in the paraxial region.

[0371] The fifth lens 1050 may have negative refractive power, the object side of the fifth lens 1050 may have a concave shape in the paraxial region, and the image side of the fifth lens 1050 may have a convex shape in the paraxial region.

[0372] The sixth lens 1060 may have negative refractive power, the object side of the sixth lens 1060 may have a concave shape in the paraxial region, and the image side of the sixth lens 1060 may have a convex shape in the paraxial region.

[0373] The fifth lens 1050 and the sixth lens 1060 can be joined together. For example, the image side of the fifth lens 1050 and the object side of the sixth lens 1060 can be joined together.

[0374] The fifth lens 1050 and the sixth lens 1060 can be joined together by the adhesive layer 1055.

[0375] The seventh lens 1070 can have negative refractive power, the object side of the seventh lens 1070 can have a concave shape in the paraxial region, and the image side of the seventh lens 1070 can have a convex shape in the paraxial region.

[0376] The eighth lens 1080 can have positive refractive power, the object side of the eighth lens 1080 can have a convex shape in the paraxial region, and the image side of the eighth lens 1080 can have a concave shape in the paraxial region.

[0377] The ninth lens 1090 may have negative refractive power, the object side of the ninth lens 1090 may have a convex shape in the paraxial region, and the image side of the ninth lens 1090 may have a concave shape in the paraxial region.

[0378] Furthermore, either or both of the eighth lens 1080 and the ninth lens 1090 may have at least one inflection point on either or both of the object side and the image side.

[0379] Each of the surfaces of the first lens 1010 to the ninth lens 1090 may have aspheric coefficients as shown in Table 20. For example, the object-side and image-side surfaces of the first lens 1010 to the fourth lens 1040 and the seventh lens 1070 to the ninth lens 1090 may all be aspherical. The object-side surface of the fifth lens 1050 and the image-side surface of the sixth lens 1060 may be aspherical, and the image-side surface of the fifth lens 1050 and the object-side surface of the sixth lens 1060 may be spherical.

[0380] Table 20

[0381]

[0382]

[0383] Furthermore, the optical imaging system 1000 according to the tenth embodiment of this disclosure may have Figure 20 The aberration characteristics shown are illustrated.

[0384] Figure 21 This is a configuration diagram of an optical imaging system according to the eleventh embodiment of the present disclosure, and Figure 22 It is shown Figure 21 A view of the aberration characteristics of the optical imaging system shown.

[0385] Reference Figure 21 The optical imaging system 1100 according to the eleventh embodiment of the present disclosure may include a first lens 1110, a second lens 1120, a third lens 1130, a fourth lens 1140, a fifth lens 1150, a sixth lens 1160, a seventh lens 1170, an eighth lens 1180 and a ninth lens 1190, and may also include a filter F and an image sensor (not shown).

[0386] The optical imaging system 1100 according to the eleventh embodiment of this disclosure can form a focal point on the image plane IP. The image plane IP can be the light-receiving surface of an image sensor.

[0387] The element characteristics (radius of curvature, element thickness or distance between elements, refractive index and Abbe number) of each of the lenses and filters can be shown in Table 21.

[0388] Table 21

[0389]

[0390]

[0391] In the eleventh embodiment of this disclosure, the first lens 1110 may have positive refractive power, the object side of the first lens 1110 may have a convex shape in the paraxial region, and the image side of the first lens 1110 may have a concave shape in the paraxial region.

[0392] The second lens 1120 may have positive refractive power, the object side of the second lens 1120 may have a convex shape in the paraxial region, and the image side of the second lens 1120 may have a concave shape in the paraxial region.

[0393] The third lens 1130 may have negative refractive power, the object side of the third lens 1130 may have a convex shape in the paraxial region, and the image side of the third lens 1130 may have a concave shape in the paraxial region.

[0394] The fourth lens 1140 may have positive refractive power, the object side of the fourth lens 1140 may have a convex shape in the paraxial region, and the image side of the fourth lens 1140 may have a concave shape in the paraxial region.

[0395] The fifth lens 1150 may have negative refractive power, the object side of the fifth lens 1150 may have a concave shape in the paraxial region, and the image side of the fifth lens 1150 may have a convex shape in the paraxial region.

[0396] The sixth lens 1160 may have negative refractive power, the object side of the sixth lens 1160 may have a concave shape in the paraxial region, and the image side of the sixth lens 1160 may have a convex shape in the paraxial region.

[0397] The fifth lens 1150 and the sixth lens 1160 can be joined together. For example, the image side of the fifth lens 1150 and the object side of the sixth lens 1160 can be joined together.

[0398] The fifth lens 1150 and the sixth lens 1160 can be joined together by an adhesive layer 1155.

[0399] The seventh lens 1170 may have negative refractive power, the object side of the seventh lens 1170 may have a concave shape in the paraxial region, and the image side of the seventh lens 1170 may have a convex shape in the paraxial region.

[0400] The eighth lens 1180 may have positive refractive power, the object side of the eighth lens 1180 may have a convex shape in the paraxial region, and the image side of the eighth lens 1180 may have a concave shape in the paraxial region.

[0401] The ninth lens 1190 may have negative refractive power, the object side of the ninth lens 1190 may have a convex shape in the paraxial region, and the image side of the ninth lens 1190 may have a concave shape in the paraxial region.

[0402] Furthermore, either or both of the eighth lens 1180 and the ninth lens 1190 may have at least one inflection point on either or both of the object side and the image side.

[0403] Each of the surfaces of the first lens 1110 to the ninth lens 1190 may have an aspheric coefficient as shown in Table 22. For example, the object-side surface and the image-side surface of the first lens 1110 to the ninth lens 1190 may all be aspherical.

[0404] Table 22

[0405]

[0406]

[0407]

[0408] Furthermore, the optical imaging system 1100 according to the eleventh embodiment of this disclosure may have Figure 22 The aberration characteristics shown are illustrated.

[0409] Table 23 shows the values ​​of f1, f2, f3, f4, f5, f6, f7, f8, f9, TTL, BFL, f, IMG HT, EPD, FOV, f12, f34, and f56 in the first to eleventh embodiments of this disclosure.

[0410] Table 23

[0411]

[0412]

[0413] Table 24 shows the values ​​of condition expressions 1 to 20 in the first to eleventh embodiments according to this disclosure. As can be seen from Table 24, all of the first to eleventh embodiments satisfy all of condition expressions 1 to 20.

[0414] Table 24

[0415]

[0416]

[0417] The optical imaging system according to the embodiments of this disclosure can reduce size while achieving high resolution.

[0418] While this disclosure includes specific examples, it will be apparent upon understanding the disclosure of this application that various changes in form and detail may be made in these examples without departing from the spirit and scope of the claims and their equivalents. The description of features or aspects in each example is considered applicable to similar features or aspects in other examples. Suitable results may also be obtained if the described techniques are performed in a different order, and / or if components in the described system, architecture, device, or circuit are combined in different ways and / or replaced or supplemented by other components or their equivalents. Therefore, the scope of this disclosure is not limited by the specific embodiments but by the claims and their equivalents, and all variations within the scope of the claims and their equivalents shall be construed as included in this disclosure.

Claims

1. An optical imaging system, characterized in that, Comprising: A first lens, a second lens, a third lens, a fourth lens, a fifth lens, a sixth lens, a seventh lens, an eighth lens, and a ninth lens, which are sequentially arranged along the optical axis of the optical imaging system from the object side of the optical imaging system towards the image plane of the optical imaging system, wherein the combined focal length of the first lens and the second lens has a positive value, the third lens has a negative refractive power, two of the first lens to the ninth lens are joined to each other, and the optical imaging system satisfies 0 ≤ |fa / Va - fb / Vb| < 3, where fa is the focal length of the lens that is closer to the object side of the optical imaging system among the two joined lenses, Va is the Abbe number of the lens that is closer to the object side of the optical imaging system among the two joined lenses, fb is the focal length of the lens that is closer to the image plane of the optical imaging system among the two joined lenses, and Vb is the Abbe number of the lens that is closer to the image plane of the optical imaging system among the two joined lenses.

2. The optical imaging system according to claim 1, characterized in that, Satisfying -0.4 < f1 / (f×100) < 0.7, where f1 is the focal length of the first lens, and f is the total focal length of the optical imaging system.

3. The optical imaging system according to claim 1, characterized in that, Satisfying 0.5 < f2 / f < 1.5, where f2 is the focal length of the second lens, and f is the total focal length of the optical imaging system.

4. The optical imaging system according to claim 1, characterized in that, Satisfying -2 < f3 / f < 0, where f3 is the focal length of the third lens, and f is the total focal length of the optical imaging system.

5. The optical imaging system according to claim 1, characterized in that, Satisfying 0.5 < f4 / f < 3, where f4 is the focal length of the fourth lens, and f is the total focal length of the optical imaging system.

6. The optical imaging system according to claim 1, characterized in that, Satisfying -9 < f5 / f < -1, where f5 is the focal length of the fifth lens, and f is the total focal length of the optical imaging system.

7. The optical imaging system according to claim 1, characterized in that, Satisfying -1 < f6 / (f×100) < 0, where f6 is the focal length of the sixth lens, and f is the total focal length of the optical imaging system.

8. The optical imaging system according to claim 1, characterized in that, Satisfying -7 < f7 / f < -2, where f7 is the focal length of the seventh lens, and f is the total focal length of the optical imaging system.

9. The optical imaging system according to claim 1, characterized in that, Satisfying 0.5 < f8 / f < 2, where f8 is the focal length of the eighth lens, and f is the total focal length of the optical imaging system.

10. The optical imaging system according to claim 1, characterized in that, Satisfying -2 < f9 / f < 0, where f9 is the focal length of the ninth lens, and f is the total focal length of the optical imaging system.

11. The optical imaging system according to claim 1, characterized in that, Satisfying 1 < TTL / f < 1.4 and 0 < BFL / f < 0.3, where TTL is the distance along the optical axis from the object side surface of the first lens to the image plane, BFL is the distance along the optical axis from the image side surface of the ninth lens to the image plane, and f is the total focal length of the optical imaging system.

12. The optical imaging system according to claim 1, characterized in that, Satisfying 0.5 < TTL / (2×IMG HT) < 0.8, where TTL is the distance along the optical axis from the object side surface of the first lens to the image plane, and IMG HT is half of the diagonal length of the image plane.

13. The optical imaging system according to claim 1, characterized in that, Satisfy 1.5 < f / EPD < 2, where f is the total focal length of the optical imaging system, EPD is the entrance pupil diameter of the optical imaging system, and f / EPD is the F-number of the optical imaging system.

14. The optical imaging system according to claim 1, characterized in that, Satisfy 1.3 < AVE(Va, Vb) / Vc < 2, where AVE(Va, Vb) is the average Abbe number of the two cemented lenses, and Vc is the Abbe number of the lens among the first lens to the ninth lens that is positioned adjacent to the two cemented lenses on the image side of the two cemented lenses.

15. The optical imaging system according to claim 1, characterized in that, Further includes an adhesive layer for cementing the two cemented lenses to each other, where the refractive index of the adhesive layer is greater than the refractive index of the lens with the smaller refractive index among the two cemented lenses and less than the refractive index of the lens with the larger refractive index among the two cemented lenses.

16. The optical imaging system according to claim 1, characterized in that, Further includes an adhesive layer for cementing the two cemented lenses to each other, where the optical imaging system satisfies 10 < Vg < 80, where Vg is the Abbe number of the adhesive layer.

17. The optical imaging system according to claim 1, characterized in that, Satisfy 60° < FOV×(IMG HT / f) < 90°, where FOV is the field of view of the optical imaging system, IMG HT is half of the diagonal length of the image plane, and f is the total focal length of the optical imaging system.

18. The optical imaging system according to claim 1, characterized in that, Satisfy 6 < |f1 / f2| < 55, where f1 is the focal length of the first lens and f2 is the focal length of the second lens.

19. The optical imaging system according to claim 1, characterized in that, Satisfy 0.7 < f12 / f < 1, where f12 is the combined focal length of the first lens and the second lens, and f is the total focal length of the optical imaging system.

20. The optical imaging system according to claim 1, characterized in that, Satisfy -11 < f34 / f < -3, where f34 is the combined focal length of the third lens and the fourth lens, and f is the total focal length of the optical imaging system.

21. The optical imaging system according to claim 1, characterized in that, Satisfy -6 < f56 / f < 0, where f56 is the combined focal length of the fifth lens and the sixth lens, and f is the total focal length of the optical imaging system.

Images