Optical imaging system and portable electronic device

By designing lenses and prisms with specific refractive power and surface shapes, combined with gap-holding components and aspherical lenses, the space constraints of optical imaging systems on portable devices have been solved, achieving a compact design with a relatively long focal length.

CN115685501BActive Publication Date: 2026-07-07SAMSUNG ELECTRO MECHANICS CO LTD

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
SAMSUNG ELECTRO MECHANICS CO LTD
Filing Date
2020-08-28
Publication Date
2026-07-07

AI Technical Summary

Technical Problem

Existing foldable optical imaging systems require an increased focal length when the number of lenses is increased, making them difficult to install on portable terminal devices with reduced thickness.

Method used

An optical imaging system is designed, including lenses and prisms with specific refractive power and surface shape. By setting gap-holding components and aspherical lenses, specific optical conditions are met to achieve a relatively long focal length and a compact design.

Benefits of technology

It has been realized to install a relatively long focal length optical imaging system on a portable terminal device with reduced thickness, thus meeting the space requirements of portable devices.

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Abstract

An optical imaging system includes, in order from an object side, a first lens, a second lens, a third lens, and a fourth lens, at least one of the first lens to the fourth lens can have an aspheric surface, wherein the optical imaging system satisfies the following conditional expression: 4.0 < f / IMG_HT < 5.0, where f is a focal length of the optical imaging system, and IMG_HT is half of a diagonal length of an imaging plane. The present application also relates to a portable electronic device including three or more camera modules, wherein a first camera module of the camera modules includes the above-described optical imaging system.
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Description

[0001] Cross-reference to related applications

[0002] This application claims priority to Korean Patent Application No. 10-2019-0107271, filed with the Korean Intellectual Property Office on August 30, 2019, the entire disclosure of which is incorporated herein by reference for all purposes. Technical Field

[0003] The following description pertains to an optical imaging system configured with a folded optical path. Background Technology

[0004] In a foldable optical imaging system with multiple lenses arranged linearly, the focal length of the optical system can increase as the number of lenses increases. For example, it may be difficult to reduce the size of an optical imaging system that includes four or more lenses. For this reason, there may be limitations to mounting a foldable optical imaging system with a relatively long focal length on a portable terminal device with a reduced thickness. Summary of the Invention

[0005] The summary portion of this invention is intended to provide a brief overview of the chosen inventive concepts, which will be further described in the detailed description portion below. This summary portion is not intended to identify key or essential features of the claimed subject matter, nor to help determine the scope of the claimed subject matter.

[0006] An optical imaging system is provided that can have a relatively long focal length and can be mounted on a small terminal device with reduced thickness.

[0007] In one general aspect, the optical imaging system includes: a first lens having positive refractive power and a convex object-side surface; a second lens having negative refractive power; a third lens having refractive power; and a fourth lens having refractive power and a concave image-side surface, wherein the first to fourth lenses are arranged sequentially from the object-side of the optical imaging system toward the imaging surface.

[0008] The second lens may have a concave object-side surface.

[0009] The second lens may have a concave image-side surface.

[0010] The third lens may have at least one convex surface.

[0011] An optical imaging system may include a gap-maintaining member disposed between a first lens and a second lens.

[0012] The clearance retaining member may define a hole located in its central portion, and the length of the short axis of the hole may be 0.7 times or more but less than 1.0 times the length of the long axis of the hole.

[0013] The optical imaging system can satisfy 0.1 < L2R2 / f < 1.0, where L2R2 is the radius of curvature of the image side surface of the second lens and f is the focal length of the optical imaging system.

[0014] The optical imaging system can satisfy -5.0 < L3R2 / f < 5.0, where L3R2 is the radius of curvature of the image side surface of the third lens and f is the focal length of the optical imaging system.

[0015] The optical imaging system can include an object-side prism disposed on the object side of the first lens.

[0016] The optical imaging system can include an image-side prism disposed between the fourth lens and the imaging surface.

[0017] In another general aspect, the optical imaging system includes: a first lens having a positive refractive power and at least one convex surface; a second lens having a negative refractive power and at least one concave surface; a third lens having a refractive power and at least one convex surface; a fourth lens having a refractive power and at least one concave surface; and a prism disposed on the object side of the first lens, wherein the first lens to the fourth lens are sequentially disposed from the object side of the optical imaging system toward the imaging surface.

[0018] The second lens can have a concave object side surface and a concave image side surface.

[0019] The first lens can have a convex object side surface and a concave image side surface.

[0020] The optical imaging system can satisfy 11 < PTTL < 14, where PTTL is the distance from the reflecting surface of the prism to the imaging surface.

[0021] The optical imaging system can satisfy 1.0 < DPL1 < 1.2, where DPL1 is the distance from the image side surface of the prism to the object side surface of the first lens.

[0022] In another general aspect, the optical imaging system includes: a first lens, a second lens, a third lens, and a fourth lens sequentially arranged from the object side, and at least one of the first lens to the fourth lens can have an aspherical surface, wherein the optical imaging system can satisfy the following conditional expression: 4.0 < f / IMG_HT < 5.0, where f is the focal length of the optical imaging system and IMG_HT is half of the diagonal length of the imaging surface.

[0023] In another general aspect, an optical imaging system includes: a first prism configured to emit light incident along a first optical axis in a direction of a second optical axis intersecting the first optical axis; a first lens having a convex image side; a second lens having a concave image side; a third lens having a refractive power; and a fourth lens having a convex object side, wherein the first prism, the first lens, the second lens, the third lens, and the fourth lens are sequentially arranged in the direction of the second optical axis, wherein at least one of the first lens to the fourth lens may have an aspherical surface, and wherein the optical imaging system may satisfy the following conditional expression: 1.0 < PTTL / f < 2.0, where PTTL is the distance from the reflection surface of the first prism to the imaging surface, and f is the focal length of the optical imaging system.

[0024] In another general aspect, a portable electronic device includes three or more camera modules, wherein the optical axis of a first camera module is formed in a direction different from the optical axes of a second camera module and a third camera module, wherein the first camera module includes the optical imaging system and an image sensor as described above, and wherein the image sensor is configured to convert the light incident through the first lens to the fourth lens into an electrical signal.

[0025] Other features and aspects will become apparent in light of the following detailed description, the drawings, and the appended claims. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] Figure 1 is a diagram illustrating a first example of an optical imaging system.

[0027] Figure 2 illustrates Figure 1 the aberration curves of the optical imaging system shown in

[0028] Figure 3 is a diagram illustrating a second example of an optical imaging system.

[0029] Figure 4 illustrates Figure 3 the aberration curves of the optical imaging system shown in

[0030] Figure 5 is a diagram illustrating a third example of an optical imaging system.

[0031] Figure 6 illustrates Figure 5 the aberration curves of the optical imaging system shown in

[0032] Figure 7 is a diagram illustrating a fourth example of an optical imaging system.

[0033] Figure 8 illustrates Figure 7The aberration curves of the optical imaging system are shown.

[0034] Figure 9 This is a diagram illustrating the fifth example of an optical imaging system.

[0035] Figure 10 Show Figure 9 The aberration curves of the optical imaging system are shown.

[0036] Figure 11 This is a diagram illustrating the sixth example of an optical imaging system.

[0037] Figure 12 Show Figure 11 The aberration curves of the optical imaging system are shown.

[0038] Figure 13 This is a diagram illustrating the seventh example of an optical imaging system.

[0039] Figure 14 Show Figure 13 The aberration curves of the optical imaging system are shown.

[0040] Figure 15 This is an illustration showing the eighth example of an optical imaging system.

[0041] Figure 16 Show Figure 15 The aberration curves of the optical imaging system are shown.

[0042] Figure 17 This is a plan view showing the first lens according to the example.

[0043] Figure 18 This is a plan view showing a gap-maintaining member disposed between a first lens and a second lens in an optical imaging system according to an example.

[0044] Figure 19 , Figure 20 , Figure 21 and Figure 22 This is a rear elevation view of a portable terminal device, including an optical imaging system mounted thereon, according to an example.

[0045] Throughout the accompanying drawings and detailed embodiments, the same reference numerals refer to the same elements. For purposes of clarity, illustration, and convenience, the drawings may not be drawn to scale, and the relative dimensions, scale, and depiction of elements in the drawings may be exaggerated. Detailed Implementation

[0046] The following detailed embodiments are provided to help readers gain a comprehensive understanding of the methods, apparatus, and / or systems described in this application. However, various changes, modifications, and equivalents to the methods, apparatus, and / or systems described in this application will be readily apparent to those skilled in the art. The sequence of operations described in this application is merely illustrative, and is not limited to the order set forth in this application, except for operations that must occur in a specific order, and can be varied, as will be readily apparent to those skilled in the art. Furthermore, for clarity and brevity, descriptions of functions and structures well-known to those skilled in the art may be omitted.

[0047] The features described in this application may be implemented in various forms and should not be construed as being limited to the examples described herein. Rather, the examples described herein are provided so that this disclosure will be thorough and complete, and will fully convey the scope of this disclosure to those skilled in the art.

[0048] It should be noted that in this application, the term "may" is used in relation to examples or implementations, such as with regard to what an example or implementation may include or implement, meaning that there exists at least one example or implementation that includes or implements such features, and that all examples and implementations are not limited thereto.

[0049] Throughout this specification, when an element such as a layer, region, or substrate is described as being "on," "connected to," or "attached to" another element, the element may be directly "on," directly "connected to," or directly "attached to" the other element, or there may be one or more other elements between the element and the other element. Conversely, when an element is described as being "directly on," "directly connected to," or "directly attached to" another element, there may be no other elements between the element and the other element.

[0050] As used in this application, the term "and / or" includes any one of the associated listed items and any combination of any two or more items.

[0051] Although terms such as “first,” “second,” and “third” may be used in this application to describe various components, parts, regions, layers, or portions, these components, parts, regions, layers, or portions are not limited by these terms. Rather, these terms are used only to distinguish one component, part, region, layer, or portion from another. Therefore, without departing from the teachings of the examples described in this application, the first component, first part, first region, first layer, or first portion mentioned in these examples may also be referred to as a second component, second part, second region, second layer, or second portion.

[0052] Spatial relative terms such as “above,” “above,” “below,” and “below” may be used in this application for descriptive convenience to describe the relationship of one element relative to another, as shown in the accompanying drawings. In addition to covering the orientation depicted in the drawings, these spatial relative terms are intended to also cover different orientations of the device in use or operation. For example, if the device in the drawings is flipped, an element described as being “above” or “above” another element would be located “below” or “below” that other element. Thus, depending on the spatial orientation of the device, the term “above” covers both orientations of “above” and “below”. The device may also be oriented in other ways (e.g., rotated 90 degrees or in other orientations), and the spatial relative terms used in this application should be interpreted accordingly.

[0053] The terminology used in this application is for describing various examples only and is not intended to limit this disclosure. Unless the context clearly indicates otherwise, the articles “a,” “an,” and “the” are intended to include the plural form as well. The terms “comprising,” “including,” and “having” indicate the presence of the stated features, numbers, operations, components, elements, and / or combinations thereof, but do not preclude the presence or addition of one or more other features, numbers, operations, components, elements, and / or combinations thereof.

[0054] Variations in the shapes shown in the accompanying drawings may occur due to manufacturing techniques and / or tolerances. Therefore, the examples described in this application are not limited to the specific shapes shown in the accompanying drawings, but include shape variations that may occur during manufacturing.

[0055] The features of the examples described in this application can be combined in various ways that will become apparent after understanding the disclosure of this application. Furthermore, although the examples described in this application have multiple configurations, other configurations that will become apparent after understanding the disclosure of this application are also possible.

[0056] In the example, the first lens represents the lens closest to the object (or target), and the fourth lens represents the lens closest to the imaging plane (or image sensor). In the example, the radius of curvature, thickness, TTL (distance from the object-side surface of the first lens to the imaging plane), IMG_HT (half the diagonal length of the imaging plane), and focal length are all expressed in millimeters (mm). The lens thickness, the gap between lenses, and TTL represent the distance along the optical axis. Furthermore, in the description of the lens shape, a convex surface configuration indicates that the optical axis region of the surface is convex, and a concave surface configuration indicates that the optical axis region of the surface is concave. Therefore, even when describing a lens with one convex surface, the edge of the lens can be concave. Similarly, even when describing a lens with one concave surface, the edge of the lens can be convex.

[0057] An optical imaging system includes an optical system comprising multiple lenses. For example, the optical system of an optical imaging system may include multiple lenses with refractive power. However, an optical imaging system includes more than just lenses with refractive power. For example, an optical imaging system may include a prism for refracting incident light and an aperture for adjusting the amount of light. An optical imaging system may also include an infrared cutoff filter for blocking infrared radiation. An optical imaging system may also include an image sensor (imaging device) configured to convert an image of an object incident through the optical system into an electrical signal. An optical imaging system may also include a gap-maintaining member for adjusting the distance between the lenses.

[0058] Multiple lenses may be formed from a material having a refractive index different from that of air. For example, multiple lenses may be formed from plastic or glass. At least one of the multiple lenses may have an aspherical shape. The aspherical surface of the lens can be represented by Equation 1 below.

[0059] Equation 1

[0060]

[0061] In Equation 1, “c” is the reciprocal of the radius of curvature of the corresponding lens, “k” is the conic constant, “r” is the distance from a point on the aspherical surface of the lens to the optical axis, “A to J” are aspherical constants, and “Z” (or SAG) is the distance from a point on the aspherical surface of the lens to the vertex of the aspherical surface in the direction of the optical axis.

[0062] An optical imaging system may include four or more lenses. For example, an optical imaging system may include a first lens, a second lens, a third lens, and a fourth lens arranged sequentially from the object side.

[0063] The first to fourth lenses may have gaps between adjacent lenses. For example, the image-side surface of the first lens may not contact the object-side surface of the second lens, and the image-side surface of the second lens may not contact the object-side surface of the third lens.

[0064] The first lens has refractive power. For example, the first lens may have positive refractive power. At least one surface of the first lens may be convex. For example, the object-side surface and the image-side surface of the first lens may be convex. The first lens may have a predetermined refractive index. For example, the first lens may have a refractive index equal to or greater than 1.5 and equal to or less than 1.6. The first lens may have a predetermined focal length. For example, the focal length of the first lens may be determined to be in the range of 3.4 mm to 5.0 mm.

[0065] The second lens may have refractive power. For example, the second lens may have negative refractive power. At least one surface of the second lens may be concave. For example, the object-side surface and the image-side surface of the second lens may be concave. The second lens may have a predetermined refractive index. For example, the second lens may have a refractive index equal to or greater than 1.6 and equal to or less than 2.0.

[0066] The third lens may have refractive power. For example, the third lens may have positive or negative refractive power. One surface of the third lens may be convex. For example, the object-side or image-side of the third lens may be convex. The third lens may have a predetermined refractive index. For example, the third lens may have a higher refractive index than the second lens.

[0067] The fourth lens may have refractive power. For example, the fourth lens may have positive or negative refractive power. One surface of the fourth lens may be concave. For example, the image-side surface of the fourth lens may be concave. The fourth lens may have a predetermined refractive index. For example, the fourth lens may have a refractive index lower than that of the third lens.

[0068] One or more of the first to fourth lenses may have an effective diameter in a first direction intersecting the optical axis that is different from the shape of the effective diameter in a second direction intersecting the optical axis. For example, the effective diameter of the first lens in the horizontal direction may be different from the effective diameter of the first lens in the vertical direction.

[0069] Optical imaging systems may include lenses formed of plastic materials. For example, in an optical imaging system, at least one of four or more lenses included in a lens group may be formed of a plastic material.

[0070] Optical imaging systems may include aspherical lenses. For example, in an optical imaging system, at least one of four or more lenses included in a lens group may be configured as an aspherical lens.

[0071] Optical imaging systems may include components configured to fold or refract light paths. For example, an optical imaging system may include a prism. The prism may be disposed on the object side of a first lens. The prism may be formed of a material having a relatively low Abbe number. For example, the material of the prism may be selected from materials having an Abbe number of 25 or lower.

[0072] Optical imaging systems may include filters, apertures, and image sensors.

[0073] A filter can be positioned between the fourth lens and the image sensor. The filter can improve the resolution of the optical imaging system by partially blocking the wavelength of incident light. For example, the filter can block the infrared wavelength of incident light. An aperture stop can be positioned between the second and third lenses.

[0074] Optical imaging systems may include gap-maintaining components.

[0075] A gap-maintaining member may be disposed between lenses. For example, the gap-maintaining member may be disposed between a first lens and a second lens. A hole may be formed in the central portion of the gap-maintaining member. The hole may have a shape including a major axis and a minor axis. For example, the hole may have an elliptical shape, a rectangular shape with rounded corners, etc. The length of the minor axis of the hole may be 0.7 times or more but less than 1.0 times the length of the major axis.

[0076] An optical imaging system can satisfy one or more of the following conditional expressions.

[0077]

[0078] In the conditional expression, "L2R1" can be the radius of curvature of the object-side surface of the second lens, "L2R2" can be the radius of curvature of the image-side surface of the second lens, "L3R1" can be the radius of curvature of the object-side surface of the third lens, "L3R2" can be the radius of curvature of the image-side surface of the third lens, "f" can be the focal length of the optical imaging system, "f1" is the focal length of the first lens, "f2" is the focal length of the second lens, "f3" is the focal length of the third lens, "f4" is the focal length of the fourth lens, "Nd1" can be the refractive index of the first lens, and "Nd2" can be the refractive index of the second lens.

[0079] In addition, the optical imaging system can satisfy one or more of the following conditional expressions.

[0080]

[0081] In the conditional expression, "L1S1es" can be the minor axis effective radius of the object-side surface of the first lens, "L1S1el" can be the major axis effective radius of the object-side surface of the first lens, "L1S2es" can be the minor axis effective radius of the image-side surface of the first lens, "L1S2el" can be the major axis effective radius of the image-side surface of the first lens, "L2S1es" can be the minor axis effective radius of the object-side surface of the second lens, "L2S1el" can be the major axis effective radius of the object-side surface of the second lens, "L2S2es" can be the minor axis effective radius of the image-side surface of the second lens, "L2S2el" can be the major axis effective radius of the image-side surface of the second lens, and "DPL1" can be... "PTTL" can be the distance from the image-side surface of the prism to the object-side surface of the first lens, "SPY2" can be the length of the hole formed in the gap retaining member in the short axis direction, "SPX2" can be the length of the hole formed in the gap retaining member in the long axis direction, "AL1" can be the area of ​​the effective diameter of the first lens (object-side surface) projected onto the imaging surface, "2θ" can be the angle formed by the center of the optical axis of the lens and the two ends of the linear portion of the effective diameter of the lens, "FOV" can be the field of view of the optical imaging system, and "BFL" can be the distance from the image-side surface of the lens closest to the imaging surface to the imaging surface.

[0082] In the following description, various examples of optical imaging systems will be described.

[0083] Reference Figure 1 and Figure 2 The first example describing an optical imaging system.

[0084] The optical imaging system 100 may include a prism P, a first lens 110, a second lens 120, a third lens 130, and a fourth lens 140.

[0085] The first lens 110 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 120 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 130 may have positive refractive power and may have a convex object-side surface and a concave image-side surface. The fourth lens 140 may have positive refractive power and may have a convex object-side surface and a concave image-side surface.

[0086] The optical imaging system 100 may include a prism P, a filter 150, and an image sensor 160.

[0087] The optical imaging system 100 may include a prism P as a mechanism for folding or refracting light. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 110. The prism P disposed as described above can refract light reflected from an object to the image sensor 160.

[0088] The filter 150 can be positioned in front of the image sensor 160 and can block infrared rays and other radiation included in the incident light. The image sensor 160 may include multiple optical sensors. The image sensor 160 can be configured to convert optical signals into electrical signals.

[0089] Table 1 lists the characteristics of the lens of the optical imaging system 100, and Table 2 lists the aspherical values ​​of the optical imaging system 100. Figure 2 The aberration curves of the optical imaging system 100 are shown.

[0090] Table 1

[0091]

[0092] Table 2

[0093] Face number 4 5 6 7 8 9 10 11 K -1.77E-01 3.53E+01 5.06E+01 2.95E-01 1.95E+01 3.13E+01 -1.91E+00 1.97E+00 A 8.25E-04 1.27E-02 -3.85E-02 -7.33E-02 3.11E-02 1.91E-02 -2.30E-02 -4.77E-02 B -1.28E-03 -3.92E-03 2.52E-02 4.57E-02 -2.67E-02 -4.47E-03 5.09E-03 -6.00E-03 C 2.18E-03 -6.50E-03 -3.05E-03 -1.21E-02 2.69E-02 -6.41E-03 -8.91E-04 1.32E-02 D -3.25E-03 1.88E-02 3.11E-04 7.20E-03 -1.51E-02 1.83E-02 4.56E-03 -2.11E-02 E 2.21E-03 -1.85E-02 6.92E-04 -2.18E-03 1.85E-03 -9.51E-03 -5.12E-03 1.58E-02 F -7.47E-04 1.27E-02 -3.71E-04 2.82E-03 0 -8.56E-03 1.76E-03 -4.42E-03 G 8.08E-05 -6.17E-03 -1.80E-04 -6.57E-03 0 6.59E-03 3.33E-04 2.49E-12 H 1.58E-05 1.62E-03 -4.14E-05 2.79E-03 0 2.47E-15 0.00E+00 -2.12E-15 J -3.64E-06 -1.64E-04 4.13E-05 9.37E-14 0 1.22E-15 0.00E+00 1.89E-15

[0094] Reference Figure 3 and Figure 4 A second example describing an optical imaging system.

[0095] The optical imaging system 200 may include a prism P, a first lens 210, a second lens 220, a third lens 230, and a fourth lens 240.

[0096] The first lens 210 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 220 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 230 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The fourth lens 240 may have negative refractive power and may have a convex object-side surface and a concave image-side surface.

[0097] The optical imaging system 200 may include a prism P, a filter 250, and an image sensor 260.

[0098] The optical imaging system 200 may include a prism P as a mechanism for folding or refracting light. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 210. The prism P disposed as described above can refract light reflected from an object to the image sensor 260.

[0099] The filter 250 can be positioned in front of the image sensor 260 and can block infrared rays and other radiation included in the incident light. The image sensor 260 may include multiple optical sensors. The image sensor 260 can be configured to convert optical signals into electrical signals.

[0100] Table 3 lists the characteristics of the lens of the optical imaging system 200, and Table 4 lists the aspherical values ​​of the optical imaging system 200. Figure 4 The aberration curves of the optical imaging system 200 are shown.

[0101] Table 3

[0102]

[0103] Table 4

[0104] Face number 4 5 6 7 8 9 10 11 K -1.28E-01 3.07E+01 -1.69E+01 8.33E-02 3.97E+01 9.10E+01 5.09E-01 2.71E+00 A 1.23E-03 1.36E-02 -4.32E-02 -8.54E-02 1.03E-03 1.99E-02 -1.65E-02 -3.05E-02 B -9.08E-04 -3.22E-03 2.45E-02 5.41E-02 -8.08E-03 -2.22E-03 -6.41E-03 -7.01E-03 C 2.18E-03 -6.90E-03 -2.47E-03 -8.48E-03 2.64E-02 -2.72E-03 8.32E-03 1.62E-02 D -3.25E-03 1.88E-02 2.50E-04 5.01E-03 -1.54E-02 2.12E-02 3.36E-03 -2.14E-02 E 2.22E-03 -1.85E-02 5.28E-04 -8.14E-04 3.28E-03 -9.48E-03 -5.13E-03 1.58E-02 F -7.45E-04 1.28E-02 -4.00E-04 2.82E-03 0 -8.56E-03 1.76E-03 -4.42E-03 G 8.07E-05 -6.17E-03 -1.43E-04 -6.57E-03 0 6.59E-03 3.33E-04 2.49E-12 H 1.56E-05 1.61E-03 -3.27E-05 2.79E-03 0 2.77E-15 0 -2.10E-15 J -3.62E-06 -1.64E-04 3.78E-05 9.37E-14 0 1.25E-15 0 1.92E-15

[0105] Reference Figure 5 and Figure 6 A third example describing an optical imaging system.

[0106] The optical imaging system 300 may include a prism P, a first lens 310, a second lens 320, a third lens 330, and a fourth lens 340.

[0107] The first lens 310 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 320 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 330 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The fourth lens 340 may have negative refractive power and may have a convex object-side surface and a concave image-side surface.

[0108] The optical imaging system 300 may include a prism P, a filter 350, and an image sensor 360.

[0109] The optical imaging system 300 may include a prism P as a mechanism for folding or refracting light. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 310. The prism P disposed as described above can refract light reflected from an object to the image sensor 360.

[0110] The filter 350 can be positioned in front of the image sensor 360 and can block infrared rays and other radiation included in the incident light. The image sensor 360 may include multiple optical sensors. The image sensor 360 can be configured to convert optical signals into electrical signals.

[0111] Table 5 lists the characteristics of the lens of the optical imaging system 300, and Table 6 lists the aspherical values ​​of the optical imaging system 300. Figure 6 The aberration curves of the optical imaging system 300 are shown.

[0112] Table 5

[0113]

[0114] Table 6

[0115]

[0116]

[0117] Reference Figure 7 and Figure 8 The fourth example describes an optical imaging system.

[0118] The optical imaging system 400 may include a prism P, a first lens 410, a second lens 420, a third lens 430, and a fourth lens 440.

[0119] The first lens 410 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 420 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 430 may have positive refractive power and may have a concave object-side surface and a convex image-side surface. The fourth lens 440 may have negative refractive power and may have a convex object-side surface and a concave image-side surface.

[0120] The optical imaging system 400 includes a prism P, a filter 450, and an image sensor 460.

[0121] The optical imaging system 400 may include a prism P as a mechanism for folding or refracting light. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 410. The prism P disposed as described above can refract light reflected from an object to the image sensor 460.

[0122] The filter 450 can be positioned in front of the image sensor 460 and can block infrared rays and other radiation included in the incident light. The image sensor 460 may include multiple optical sensors. The image sensor 460 can be configured to convert optical signals into electrical signals.

[0123] Table 7 lists the characteristics of the lens of the optical imaging system 400, and Table 8 lists the aspherical values ​​of the optical imaging system 400. Figure 8 The aberration curves of the optical imaging system 400 are shown.

[0124] Table 7

[0125]

[0126]

[0127] Table 8

[0128] Face number 4 5 6 7 8 9 10 11 K -9.02E-02 3.15E+01 -9.90E+01 1.87E-01 9.90E+01 2.02E+00 -6.30E+01 1.22E+00 A 1.98E-03 1.46E-02 -4.42E-02 -8.36E-02 -9.10E-04 2.17E-02 -1.98E-02 -3.85E-02 B -8.07E-04 -2.89E-03 2.42E-02 5.82E-02 1.59E-03 -4.88E-03 -1.20E-02 -2.55E-03 C 2.19E-03 -7.04E-03 -2.20E-03 -9.18E-03 2.78E-02 -5.05E-03 5.07E-03 1.52E-02 D -3.24E-03 1.87E-02 2.69E-04 5.94E-03 -1.72E-02 2.38E-02 7.11E-03 -2.13E-02 E 2.22E-03 -1.85E-02 4.62E-04 -3.98E-04 5.23E-03 -9.48E-03 -5.13E-03 1.58E-02 F -7.45E-04 1.28E-02 -4.33E-04 2.82E-03 0 -8.56E-03 1.76E-03 -4.42E-03 G 8.05E-05 -6.16E-03 -1.43E-04 -6.57E-03 0 6.59E-03 3.33E-04 2.48E-12 H 1.55E-05 1.61E-03 -2.53E-05 2.79E-03 0 1.99E-15 0 -2.92E-15 J -3.59E-06 -1.64E-04 3.86E-05 9.36E-14 0 1.11E-15 0 1.77E-15

[0129] Reference Figure 9 and Figure 10 The fifth example describing an optical imaging system.

[0130] The optical imaging system 500 may include a prism P, a first lens 510, a second lens 520, a third lens 530, and a fourth lens 540.

[0131] The first lens 510 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 520 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 530 may have positive refractive power and may have a concave object-side surface and a convex image-side surface. The fourth lens 540 may have negative refractive power and may have a concave object-side surface and a concave image-side surface.

[0132] The optical imaging system 500 may include a prism P, a filter 550, and an image sensor 560.

[0133] The optical imaging system 500 may include a prism P as a mechanism for folding or refracting light. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 510. The prism P disposed as described above can refract light reflected from an object to the image sensor 560.

[0134] The filter 550 can be positioned in front of the image sensor 560 and can block infrared radiation and other light included in the incident light. The image sensor 560 may include multiple optical sensors. The image sensor 560 can be configured to convert optical signals into electrical signals.

[0135] Table 9 lists the characteristics of the lens of the optical imaging system 500, and Table 10 lists the aspherical values ​​of the optical imaging system 500. Figure 10 The aberration curves of the optical imaging system 500 are shown.

[0136] Table 9

[0137]

[0138] Table 10

[0139] Face number 4 5 6 7 8 9 10 11 K -7.01E-02 3.17E+01 -9.90E+01 2.41E-01 1.58E+01 1.29E+00 2.80E+01 9.09E-02 A 2.41E-03 1.45E-02 -4.43E-02 -8.39E-02 -7.91E-03 2.84E-02 -2.69E-02 -4.16E-02 B -7.18E-04 -2.67E-03 2.39E-02 5.98E-02 9.71E-03 -7.15E-03 -1.59E-02 9.08E-04 C 2.15E-03 -7.14E-03 -2.00E-03 -1.09E-02 2.76E-02 -3.68E-03 1.99E-03 1.32E-02 D -3.24E-03 1.87E-02 3.62E-04 5.46E-03 -1.94E-02 2.27E-02 8.55E-03 -2.08E-02 E 2.22E-03 -1.85E-02 4.64E-04 1.12E-03 6.66E-03 -9.48E-03 -5.13E-03 1.58E-02 F -7.45E-04 1.28E-02 -4.46E-04 2.82E-03 0 -8.56E-03 1.76E-03 -4.42E-03 G 8.04E-05 -6.16E-03 -1.50E-04 -6.57E-03 0 6.59E-03 3.33E-04 2.48E-12 H 1.54E-05 1.62E-03 -2.55E-05 2.79E-03 0 1.81E-15 0 -2.93E-15 J -3.60E-06 -1.63E-04 4.07E-05 9.36E-14 0 1.09E-15 0 1.76E-15

[0140] Reference Figure 11 and Figure 12 The sixth example describing an optical imaging system.

[0141] The optical imaging system 600 may include a prism P, a first lens 610, a second lens 620, a third lens 630, and a fourth lens 640.

[0142] The first lens 610 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 620 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 630 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The fourth lens 640 may have positive refractive power and may have a convex object-side surface and a concave image-side surface.

[0143] The optical imaging system 600 may include a prism P, a filter 650, and an image sensor 660.

[0144] The optical imaging system 600 may include a prism P as a mechanism for folding or refracting light. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 610. The prism P disposed as described above can refract light reflected from an object to the image sensor 660.

[0145] The filter 650 can be positioned in front of the image sensor 660 and can block infrared rays and other radiation included in the incident light. The image sensor 660 may include multiple optical sensors. The image sensor 660 can be configured to convert optical signals into electrical signals.

[0146] Table 11 lists the characteristics of the lens of the optical imaging system 600, and Table 12 lists the aspherical values ​​of the optical imaging system 600. Figure 12 The aberration curves of the optical imaging system 600 are shown.

[0147] Table 11

[0148]

[0149] Table 12

[0150] Face number 4 5 6 7 8 9 10 11 K 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 A 1.15E-03 1.80E-02 -1.14E-02 -6.40E-02 2.64E-02 -2.06E-02 -1.25E-01 -6.87E-02 B -1.43E-04 -3.31E-03 1.75E-02 3.66E-02 -2.66E-02 -6.54E-03 -1.10E-02 -3.26E-02 C 1.36E-03 8.52E-04 -3.01E-03 -8.99E-03 7.11E-03 -8.22E-03 -6.19E-03 3.18E-02 D -1.60E-03 6.83E-04 -8.68E-04 -1.67E-03 -3.65E-03 8.05E-03 1.41E-02 -1.13E-02 E 9.08E-04 -5.05E-06 1.87E-04 -1.71E-03 2.89E-04 -2.00E-03 -4.63E-03 1.41E-03 F -2.46E-04 -3.03E-04 -3.58E-06 1.55E-03 0 0 0 0 G 2.60E-05 8.39E-05 1.61E-05 -3.18E-04 0 0 0 0 H 0 0 0 0 0 0 0 0 J 0 0 0 0 0 0 0 0

[0151] Reference Figure 13 and Figure 14 The seventh example describing an optical imaging system.

[0152] The optical imaging system 700 may include a prism P, a first lens 710, a second lens 720, a third lens 730, and a fourth lens 740.

[0153] The first lens 710 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 720 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 730 may have negative refractive power and may have a concave object-side surface and a convex image-side surface. The fourth lens 740 may have positive refractive power and may have a convex object-side surface and a concave image-side surface.

[0154] The optical imaging system 700 may include a prism P, a filter 750, and an image sensor 760.

[0155] The optical imaging system 700 may include a prism P as a mechanism for folding or refracting light paths. The prism P can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the prism P can be almost perpendicular to the first optical axis C1. The prism P may be disposed on the object side of the first lens 710. The prism P can refract light reflected from an object to the image sensor 760.

[0156] The filter 750 can be positioned in front of the image sensor 760 and can block infrared rays and other radiation included in the incident light. The image sensor 760 may include multiple optical sensors. The image sensor 760 can be configured to convert optical signals into electrical signals.

[0157] Table 13 lists the characteristics of the lens of the optical imaging system 700, and Table 14 lists the aspherical values ​​of the optical imaging system 700. Figure 14 It is the aberration curve of the optical imaging system 700.

[0158] Table 13

[0159] Face number mark radius of curvature Thickness / Gap focal length Refractive index Abbe number 1 Prism infinity 1.5440 1.63490 23.90000 2 infinity 1.5440 1.63490 23.90000 3 infinity 1.1194 4* First lens 3.0000 1.4000 4.3547 1.53500 56.00000 5* -8.8982 0.1481 6* Second lens -250.000 0.6926 -4.2453 1.61500 25.90000 7* 2.6655 0.3965 8 Third lens -6.9257 0.9734 -51.3113 1.67140 19.20000 9* -9.1355 0.0400 10* Fourth lens 2.1000 0.7968 13.1062 1.61500 25.90000 11* 2.4196 4.0062 12* Filter infinity 0.2100 1.54410 56.00000 13* infinity 1.1600 14 Imaging surface infinity -0.0030

[0160] Table 14

[0161]

[0162]

[0163] Reference Figure 15 and Figure 16 The eighth example describing an optical imaging system.

[0164] The optical imaging system 800 may include a first prism P1, a first lens 810, a second lens 820, a third lens 830, and a fourth lens 840.

[0165] The first lens 810 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The second lens 820 may have negative refractive power and may have a concave object-side surface and a concave image-side surface. The third lens 830 may have positive refractive power and may have a convex object-side surface and a convex image-side surface. The fourth lens 840 may have positive refractive power and may have a convex object-side surface and a concave image-side surface.

[0166] The optical imaging system 800 may include a first prism P1, a filter 850, a second prism P2, and an image sensor 860.

[0167] The optical imaging system 800 may include a first prism P1 as a mechanism for folding or refracting light paths. The first prism P1 can fold light incident in the direction of a first optical axis C1 to the direction of a second optical axis C2. The second optical axis C2 refracted by the first prism P1 may be nearly perpendicular to the first optical axis C1. The first prism P1 may be disposed on the object side of the first lens 810. The first prism P1 can refract light reflected from an object to the second prism P2. The second prism P2 can refract incident light to the image sensor 860.

[0168] A filter 850 may be positioned in front of the image sensor 860 and may block infrared radiation and other light included in the incident light. The image sensor 860 may include multiple optical sensors. The image sensor 860 may be configured to convert optical signals into electrical signals.

[0169] Table 15 lists the characteristics of the lens of the optical imaging system 800, and Table 16 lists the aspherical values ​​of the optical imaging system 800. Figure 16 It is the aberration curve of the optical imaging system 800.

[0170] Table 15

[0171]

[0172]

[0173] Table 16

[0174] Face number 4 5 6 7 8 9 10 11 K 0 0 0 0 0 0 0 0 A 1.152E-03 1.800E-02 -1.140E-02 -6.400E-02 2.640E-02 -2.060E-02 -1.250E-01 -6.870E-02 B -1.430E-04 -3.310E-03 1.750E-02 3.660E-02 -2.660E-02 -6.540E-03 -1.100E-02 -3.260E-02 C 1.364E-03 8.520E-04 -3.006E-03 -8.991E-03 7.106E-03 -8.224E-03 -6.192E-03 3.180E-02 D -1.596E-03 6.826E-04 -8.678E-04 -1.666E-03 -3.650E-03 8.051E-03 1.406E-02 -1.133E-02 E 9.084E-04 -5.050E-06 1.867E-04 -1.713E-03 2.892E-04 -2.003E-03 -4.630E-03 1.413E-03 F -2.456E-04 -3.032E-04 -3.580E-06 1.548E-03 0 0 0 0 G 2.600E-05 8.390E-05 1.610E-05 -3.180E-04 0 0 0 0 H 0 0 0 0 0 0 0 0 J 0 0 0 0 0 0 0 0

[0175] Table 17 lists the optical performance of the optical imaging systems of Examples 1 through 7.

[0176] Table 17

[0177] Example f f-number IMG_HT FOV 2θ AL1 BFL TTL PTTL 1 9.70 2.80 2.04 23.48 91.15 7.285 5.285 9.760 12.510 2 9.70 2.80 2.04 23.34 91.15 7.285 4.789 9.568 12.318 3 9.70 2.80 2.04 23.32 91.15 7.285 4.756 9.520 12.271 4 9.71 2.80 2.04 23.30 91.15 7.285 4.710 9.500 12.251 5 9.71 2.80 2.04 23.36 91.15 7.285 4.645 9.500 12.251 6 9.66 2.80 2.04 23.28 91.15 7.371 5.683 9.569 12.233 7 9.50 2.80 2.04 23.66 91.15 7.371 5.373 9.821 12.484

[0178] Table 18 lists the effective radius of the major axis of the lens for each example (mm), and Figure 19 The effective minor axis radius (mm) of the lens for each example is listed.

[0179] Table 18

[0180] Example L1S1el L1S2el L2S1el L2S2el L3S1el L3S2el L4S1el L4S2el 1 1.690 1.494 1.433 1.168 1.200 1.042 1.020 1.037 2 1.690 1.470 1.411 1.141 1.200 1.050 1.020 1.081 3 1.690 1.470 1.412 1.142 1.200 1.054 1.020 1.075 4 1.690 1.472 1.413 1.149 1.200 1.061 1.020 1.125 5 1.690 1.487 1.427 1.172 1.200 1.087 1.020 1.150 6 1.700 1.533 1.488 1.251 1.221 1.246 1.205 1.200 7 1.700 1.553 1.473 1.270 1.241 1.259 1.220 1.200

[0181] Table 19

[0182] Example L1S1es L1S2es L2S1es L2S2es L3S1es L3S2es L4S1es L4S2es 1 1.183 1.046 1.003 0.818 0.840 0.730 0.714 0.726 2 1.183 1.029 0.988 0.799 0.840 0.735 0.714 0.756 3 1.183 1.029 0.988 0.800 0.840 0.738 0.714 0.753 4 1.183 1.031 0.989 0.805 0.840 0.743 0.714 0.787 5 1.183 1.041 0.999 0.821 0.840 0.761 0.714 0.805 6 1.190 1.073 1.042 0.876 0.854 0.872 0.843 0.840 7 1.190 1.087 1.031 0.889 0.869 0.881 0.854 0.840

[0183] Tables 20 to 22 list the values ​​of the conditional expressions for the optical imaging systems of the first to seventh examples. As shown in Tables 20 to 22, the optical imaging systems of the first to seventh examples satisfy the aforementioned conditional expressions.

[0184] Table 20

[0185]

[0186] Table 21

[0187]

[0188] Table 22

[0189]

[0190]

[0191] An example optical imaging system may include lenses and Figure 17 and Figure 18 The gap retaining member shown. Figure 17 Only the configuration of the first lens is shown, but the second to fourth lenses can also be configured as follows. Figure 17 As shown in the example.

[0192] The lengths of the first lens L1 in a first direction and a second direction intersecting the optical axis can be configured to be different from each other. For example, the effective radius of the first lens L1 in the first direction (L1S1el; hereinafter referred to as the major axis effective radius) can be greater than the effective radius in the second direction (L1S1es; hereinafter referred to as the minor axis effective radius). One surface of the first lens L1 can be configured to be linear. For example, as Figure 17 As shown, the two side surfaces of the first lens L1, parallel to the effective radius of its major axis, can be configured to be linear. The size of the linear portion of the first lens L1 can be limited to a predetermined range. For example, the angle 2θ formed by the optical axis center C2 of the first lens L1 and the two ends of the linear portion can be selected from a range of 80 degrees to 92 degrees.

[0193] like Figure 18 As shown, the gap retaining member SP can be configured to be nearly rectangular. For example, the length SPX1 of the gap retaining member SP in the first direction can be greater than the length SPY1 in the second direction. The aperture of the gap retaining member SP can have a shape similar to or the same as the effective diameter of the lens. Figure 18 As shown, in the exemplary embodiment, the hole of the gap retaining member SP can be formed by a pair of straight lines and a pair of curves that are parallel to each other. The length SPX2 of the hole in the gap retaining member SP in the first direction can be greater than the length SPY2 in the second direction.

[0194] The optical imaging system 20 in the example can be installed on a small terminal device. For example, such as... Figures 19 to 22 As shown, one or more of the optical imaging systems described in the foregoing examples may be mounted on the rear or front surface of the small terminal device 10.

[0195] The small terminal device 10 may include multiple optical imaging systems 20, 30, 40, and 50. As an example, such as... Figure 19 As shown, the small terminal device 10 may include an optical imaging system 20 for imaging objects at long distances and an optical imaging system 30 for imaging objects at short distances. As another example, such as... Figure 20 As shown, the small terminal device 10 may include an optical imaging system 20 for imaging objects at long distances and optical imaging systems 30 and 40 for imaging objects at short distances. As another example, the small terminal device 10 may include an optical imaging system 20 for imaging objects at long distances and optical imaging systems 30, 40, and 50 with different focal lengths.

[0196] In an exemplary embodiment, optical imaging system 20 may have the narrowest viewing angle and the longest focal length, optical imaging system 30 may have the widest viewing angle and the shortest focal length, and optical imaging systems 40 and 50 may have a viewing angle that is wider than that of optical imaging system 20 and narrower than that of optical imaging system 30.

[0197] like Figures 19 to 22 As shown, the arrangement of optical imaging systems 20, 30, 40 and 50 can be changed.

[0198] Based on the above example, an optical imaging system with a relatively long focal length can be realized and can be mounted on a small terminal device.

[0199] While this disclosure includes specific examples, it will be apparent upon understanding this disclosure that various changes in form and detail may be made to these examples without departing from the spirit and scope of the claims and their equivalents. The examples described herein should be understood in a descriptive sense only and not for limiting purposes. The description of features and aspects in each example should be understood as applicable to similar features or aspects in other examples. Suitable results may still be achieved 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 a different manner 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 changes within the scope of the claims and their equivalents should be understood to be included in this disclosure.

Claims

1. An optical imaging system, comprising: A prism; A first lens having a positive refractive power and a convex object side and a convex image side; A second lens having a negative refractive power and a concave object side and a concave image side; A third lens having a positive refractive power and a convex object side; And A fourth lens having a positive refractive power and a convex object side and a concave image side, Wherein, the prism and the first lens to the fourth lens are sequentially arranged from the object side to the imaging surface, Wherein, the optical imaging system has a total of four lenses, and Wherein, 1.0 < PTTL / f < 2.0, and 0.5827 ≤ f / f4 ≤ 1.0779, where PTTL is the distance from the reflection surface of the prism to the imaging surface, f is the focal length of the optical imaging system, and f4 is the focal length of the fourth lens.

2. The optical imaging system according to claim 1, wherein, 0.7 < L1S1el / IMG_HT < 0.9, where L1S1el is the effective radius of the long axis of the object side of the first lens, and IMG_HT is half of the diagonal length of the imaging surface.

3. The optical imaging system according to claim 1, wherein, 0.10 < L1S1el / PTTL < 0.15, where L1S1el is the effective radius of the long axis of the object side of the first lens.

4. The optical imaging system according to claim 1, wherein, 0.08 < L1S1es / PTTL < 0.11, where L1S1es is the effective radius of the short axis of the object side of the first lens.

5. The optical imaging system according to claim 1, wherein, 0.09 < L2S1el / PTTL < 0.14, where L2S1el is the effective radius of the long axis of the object side of the second lens.

6. The optical imaging system according to claim 1, wherein, 0.07 < L2S1es / PTTL < 0.10, where L2S1es is the effective radius of the short axis of the object side of the second lens.

7. The optical imaging system according to claim 1, wherein, 0.1 < (L2R1 + L2R2) / (L2R1 - L2R2) < 1.0, where L2R1 is the radius of curvature of the object side of the second lens, and L2R2 is the radius of curvature of the image side of the second lens.

8. The optical imaging system according to claim 1, wherein, 0.10 < L2R2 / f ≤ 0.2738, where L2R2 is the radius of curvature of the image side of the second lens.

9. The optical imaging system according to claim 1, wherein, -1.7987 ≤ L3R2 / f ≤ 0.8361, where L3R2 is the radius of curvature of the image side of the third lens.

10. The optical imaging system according to claim 1, wherein, -6.405 ≤ (L3R1 + L3R2) / (L3R1 - L3R2) ≤ 0.2995, where L3R1 is the radius of curvature of the object side of the third lens, and L3R2 is the radius of curvature of the image side of the third lens.

11. The optical imaging system according to claim 1, wherein, 2.3602 ≤ f / f1 ≤ 2.5202, where f1 is the focal length of the first lens.

12. The optical imaging system according to claim 1, wherein, -3.3805 ≤ f / f2 ≤ -3.3738, where f2 is the focal length of the second lens.

13. The optical imaging system according to claim 1, wherein, 0.3532 ≤ f / f3 ≤ 0.5772, where f3 is the focal length of the third lens.

14. The optical imaging system according to claim 1, wherein, -1.0 < Nd1 - Nd2 < 0, where Nd1 is the refractive index of the first lens, and Nd2 is the refractive index of the second lens.