Lens module and lens array and lamp having the same

By designing rotationally symmetric lens modules and hyperbolic lens modules, the problem of thickness limitation of total internal reflection lenses was solved, achieving a balance between reducing lens thickness and uniform light incidence, making it suitable for lighting design.

CN117432972BActive Publication Date: 2026-07-21QINGDAO YEELINK INFORMATION TECH

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
QINGDAO YEELINK INFORMATION TECH
Filing Date
2023-11-06
Publication Date
2026-07-21

AI Technical Summary

Technical Problem

The size, especially the thickness, of total internal reflection lenses limits the design of luminaires as the size of the light source increases, and existing technologies are unable to effectively solve this problem.

Method used

Design a lens module in which the lens body has two opposite sides, one side forming a first light-incident surface and the other side forming a light-outceasing surface, and multiple second recesses are provided between the sides, with the inner surface of the recesses forming a second light-incident surface. The lens thickness is reduced by using a rotationally symmetrical structure and a hyperbolic design.

Benefits of technology

By decomposing and adjusting the incident light surface curve of the lens, the lens thickness is significantly reduced while maintaining good uniformity of light incidence and emission, making it suitable for applications with strict requirements on lamp body thickness.

✦ Generated by Eureka AI based on patent content.

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Abstract

The application discloses a lens module, a lens array and a lamp with the same. The lens module comprises a lens body, the lens body has two opposite side surfaces, a first light inlet surface is formed in the middle of one of the two side surfaces, a plurality of second recesses are arranged around the first light inlet surface, the inner surface of the second recesses is provided with a second light inlet surface, the other side surface of the lens body is provided with a light outlet surface, and the light outlet surface is a plane. The second recesses comprise an inner side surface facing the first light inlet surface and an outer side surface facing away from the first light inlet surface. The outer side surface of the second recesses has an angle with the horizontal plane, and the angle between the outer side surface of at least part of the second recesses and the horizontal plane is an acute angle. The second light inlet surface is formed on the inner side surface. The application greatly reduces the size in the thickness direction of the lens, and has the advantages of reliable operation and simplicity.
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Description

Technical Field

[0001] This invention relates to the field of lighting technology, and more particularly to an ultrathin lens model and a lens array having the same. Background Technology

[0002] In the field of lighting technology, total internal reflection lenses have wide applications, are technologically mature, and are used in many situations; however, due to the principle of their design, total internal reflection lenses have certain limitations in size, especially thickness. In particular, as the size of the light source increases, their thickness also increases in practice, which imposes limitations on the design of lighting fixtures.

[0003] Therefore, the applicant has devoted himself to research and development and developed a lens module that overcomes the above-mentioned defects, as well as a lens array and lamp having the same. Summary of the Invention

[0004] To address the aforementioned problems, the present invention provides a lens module, comprising a lens body having two opposing sides, wherein a first light-incident surface is formed in the middle of one of the two sides, and a plurality of second recesses are spaced apart around the first light-incident surface, the inner surface of the second recesses forming a second light-incident surface, and a light-exiting surface is formed on the other side of the lens body, the light-exiting surface being planar.

[0005] The second recess includes an inner side facing the first light-incident surface and an outer side facing away from the first light-incident surface. The outer side of the second recess has an angle with the horizontal surface, and at least part of the angle between the outer side of the second recess and the horizontal surface is an acute angle. The second light-incident surface is formed on the inner side.

[0006] In the above-mentioned lens module, the middle portion of one of the two sides of the lens body is recessed inward to form a first recessed portion, and the first light-incident surface is formed on the inner surface of the first recessed portion; wherein the top ends of the first recessed portion and the second recessed portion are located on the same horizontal plane, and / or the bottom ends of the first recessed portion and the second recessed portion are located on the same horizontal plane.

[0007] In the aforementioned lens module, the first light-incident surface is a convex arc-shaped surface, and the second light-incident surface is a concave arc-shaped surface; or, both the first light-incident surface and the second light-incident surface are concave arc-shaped surfaces.

[0008] In the lens module described above, the angle between the outer surfaces of the plurality of second recesses and the horizontal plane gradually decreases as the distance from the first recess increases, and / or the spacing between the plurality of second recesses gradually increases as the distance from the first recess increases.

[0009] In the aforementioned lens module, the outer side of the second recessed portion forms an angle with the horizontal surface, the angle ranging from 80 to 86 degrees.

[0010] In the lens module described above, the plurality of second recesses are concentric circle structures; wherein, a cross-section perpendicular to the light-emitting surface is drawn through the center of the concentric circle structure, and the cross-section line of the second light-incident surface of at least one second recess is a part of a hyperbola.

[0011] In the aforementioned lens module, the plurality of second recesses are concentric circular structures surrounding the first recess; and the cross-sectional lines of the first light-incident surface of the first recess and the second light-incident surfaces of the plurality of second recesses are both part of a hyperbola.

[0012] In the aforementioned lens module, the lens body has a rotationally symmetric structure, and the generatrix of the first light-incident surface of the first recess and the generatrix of the second light-incident surfaces of the plurality of second recesses are portions of a hyperbola sequentially intercepted from a hyperbola.

[0013] In the lens module described above, the vertex of the first light-incident surface is the vertex of a hyperbola, and / or the generatrix of the first light-incident surface of the first recess and the generatrix of the second light-incident surfaces of the plurality of second recesses are at the same height in the direction perpendicular to the light-out surface.

[0014] In the aforementioned lens module, the equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1, m>0, n>0, p>m. The first incident surface and the second incident surface are taken from the portion of the hyperbola where z<=pm, and the angle between the line connecting the point on the hyperbola and the origin and the positive z-axis is less than or equal to 45°. Here, x and z are the x-axis and z-axis in the xyz spatial coordinate axis, p is a variable, m is the length of the real half-axis, and n is the length of the imaginary half-axis.

[0015] The present invention also provides a lens array, comprising a plurality of lens modules as described in any one of the above descriptions, wherein each lens module is arranged linearly along one direction, or each lens module is arranged in an array along two directions, X and Y.

[0016] The present invention also provides a lamp, which includes a light source and a lens module. The lens module includes a lens body, which has two opposite sides. One of the two sides forms a first light-incident surface. A plurality of second recesses are spaced apart around the first light-incident surface. The inner surface of the second recesses forms a second light-incident surface. The other side of the lens body forms a light-exiting surface, which is a plane.

[0017] The second recess includes an inner side facing the first light-incident surface and an outer side facing away from the first light-incident surface. The outer side of the second recess has an angle with the horizontal surface, and at least part of the angle between the outer side of the second recess and the horizontal surface is an acute angle. The second light-incident surface is formed on the inner side.

[0018] In the aforementioned lamp, the middle of one of the two sides of the lens body is recessed inward to form a first recess, and the first light-incident surface is formed on the inner surface of the first recess; the lens body has a rotationally symmetric structure, and the generatrix of the first light-incident surface of the first recess and the generatrix of the second light-incident surfaces of the plurality of second recesses are portions of a hyperbola successively intercepted on a hyperbola.

[0019] In the aforementioned lighting fixture, the equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1, m>0, n>0, p>m. The first light-incident surface and the second light-incident surface are taken from the portion of the hyperbola where z<=pm, and the angle between the line connecting the point on the hyperbola and the origin and the positive z-axis is less than or equal to 45°. Here, x and z are the x-axis and z-axis in the xyz spatial coordinate axis, p is a variable, m is the length of the real half-axis, and n is the length of the imaginary half-axis.

[0020] In the aforementioned lighting fixture, the vertex of the first light-incident surface is the vertex of the hyperbola, and the light source is arranged on the line connecting the vertex and the focal point of the hyperbola, and is located at or outside the focal point of the hyperbola.

[0021] The advantages of this invention compared to the prior art are as follows: This invention greatly reduces the size of the lens in the thickness direction by decomposing and shifting the incident light surface curve of the lens to form a new lens arc segment group, while also having the advantages of reliable operation and simplicity; Compared with the prior art, this invention has advantages in size, especially in thickness, and can be used in some specific applications, such as applications with strict requirements on lamp body thickness.

[0022] Other features and advantages of the invention will be set forth in the following description, and will be apparent in part from the description, or may be learned by practicing the invention. The objects and other advantages of the invention may be realized and obtained by means of the structures pointed out in the description and the drawings. Attached Figure Description

[0023] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0024] Figure 1a This is a schematic diagram of the lens module of the present invention;

[0025] Figure 1b This is a schematic diagram of the structure of the first or second body of the present invention;

[0026] Figure 2a , 2b Figures 2 and 2c are schematic diagrams illustrating the process of generating the working curve segment of the lens in this invention;

[0027] Figure 3a , 3b 3c, 3d, and 3e are schematic diagrams used to analyze the advantages of a hyperbola working curve;

[0028] Figure 4a This is a schematic diagram of the structure of a lens array according to an embodiment of the present invention;

[0029] Figure 4b This is a schematic diagram of the lens array according to another embodiment of the present invention. Detailed Implementation

[0030] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0031] The illustrative embodiments and descriptions of the present invention are used to explain the invention, but are not intended to limit the invention. Furthermore, elements / components using the same or similar reference numerals in the drawings and embodiments are used to represent the same or similar parts.

[0032] The terms "first," "second," "S1," "S2," etc., used in this document do not specifically refer to any order or sequence, nor are they intended to limit the invention. They are merely used to distinguish elements or operations described using the same technical terms.

[0033] The directional terms used in this article, such as up, down, left, right, front, or back, are for reference only when referring to the accompanying drawings. Therefore, the use of directional terms is for illustrative purposes and not to limit this work.

[0034] The terms “include,” “including,” “have,” “contain,” etc., used in this article are all open-ended terms, meaning that they include but are not limited to.

[0035] The term "and / or" as used herein includes any or all of the things mentioned.

[0036] The term "multiple" in this article includes "two" and "more than two"; the term "multiple groups" in this article includes "two groups" and "more than two groups".

[0037] The terms "approximately," "about," etc., used herein are intended to modify any quantity or error that may vary slightly, but these slight variations or errors do not change the essence of the quantity or error. Generally, the range of slight variations or errors modified by such terms may be 20% in some embodiments, 10% in others, 5% in still others, or other values. Those skilled in the art should understand that the aforementioned values ​​can be adjusted according to actual needs and are not limited thereto.

[0038] Certain terms used to describe this application will be discussed below or elsewhere in this specification to provide additional guidance to those skilled in the art in describing the application.

[0039] Please refer to Figure 1a , Figure 1a This is a schematic diagram of the lens module of the present invention. Figure 1a As shown, a lens module of the present invention includes a lens body 1. The lens body 1 has two opposite sides S1 and S2. A first light-incident surface P1 is formed in the middle of one of the two sides S1 and S2. A plurality of second recesses S12 are spaced apart around the first light-incident surface P1. A second light-incident surface P2 is formed on the inner surface of the second recesses S12. A light-exiting surface is formed on the other side S2 of the lens body 1. The light-exiting surface is a plane.

[0040] In this embodiment, a first recessed portion S11 is formed by indenting the middle of one of the two sides S1 and S2, and a first light-incident surface P1 is formed on the inner surface of the first recessed portion S11, which is a preferred implementation.

[0041] It should be noted that in this embodiment, the first light-incident surface P1 and the second light-incident surface P2 are formed on the side surface S1 as an example, but the present invention is not limited thereto. In other embodiments of the present invention, the first light-incident surface P1 and the second light-incident surface P2 can also be formed on the side surface S2.

[0042] Wherein, the top end t1 of the first recessed portion S11 and the top end t2 of the second recessed portion S12 are located on the same horizontal plane, and / or the bottom end b1 of the first recessed portion and the bottom end b2 of the second recessed portion are located on the same horizontal plane, so as to achieve the thinning of the lens as much as possible while ensuring the light incident effect.

[0043] Furthermore, the second recessed portion S12 includes an inner side facing the first light-incident surface and an outer side facing away from the first light-incident surface, and the second light-incident surface is formed on the inner side; wherein, both the first light-incident surface and the second light-incident surface are concave arc-shaped surfaces, thereby increasing the incident amount of light, increasing the uniformity of light output and the light efficiency.

[0044] In another embodiment of the present invention, the first light-incident surface is a convex arc-shaped surface, and the second light-incident surface is a concave arc-shaped surface.

[0045] In this embodiment, the outer surface of the second recess has an angle with the horizontal surface, and the angle is acute. The angle between the outer surface of the plurality of second recesses S12 and the horizontal surface gradually decreases as the distance from the first recess S11 increases, and / or the spacing between the plurality of second recesses S12 gradually increases as the distance from the first recess S11 increases, thereby increasing the incident light at the far end. Since the incident light angle at the far end is larger, by increasing the angle between the outer surface and the horizontal surface, or by increasing the spacing between the second recesses, the incident light on the second incident surface at the far end of the lens can be increased as much as possible without increasing the lens thickness, while keeping the depth of the second recess constant. This improves the illuminance at the far end and enhances the uniformity of light output from the lens.

[0046] It should be noted that, in this invention, a preferred embodiment is one where the angle between the outer surface of the second recess S12 and the horizontal plane is between 80 and 86 degrees. This increases the incident angle of light on the outer surface, thereby maximizing the total internal reflection of light rays hitting the outer surface and preventing stray light from entering the lens through the outer surface, which would affect the uniformity of light output from the lens.

[0047] Based on the above structure, the ultrathin lens model of the present invention has a concave shape when facing the light source, and its working surface is composed of multiple discontinuous arc segments. Specifically, the working surface here refers to the light-incident surface of the ultrathin lens model, that is, the first light-incident surface P1 and the second light-incident surface P2 directly face the light source, and all arc segments facing the light source are concave.

[0048] Furthermore, the plurality of second recesses S12 are concentric circular structures surrounding the first recess S11; wherein, a cross-section perpendicular to the light-emitting surface is drawn through the center of the concentric circular structure, and the cross-section line of the second light-incident surface P2 of at least one second recess S12 is part of a hyperbola. Through extensive simulation verification, the inventors discovered that by setting the generatrix of the incident surface as a hyperbola, the amount of incident light is increased while simultaneously improving the uniformity of light emission from the lens.

[0049] In one embodiment of the present invention, the cross-sectional lines of the first light-incident surface P1 of the first recess S1 and the second light-incident surface P2 of the plurality of second recesses S12 are both part of a hyperbola.

[0050] Furthermore, the lens body 1 has a rotationally symmetric structure, and the generatrix of the first light-incident surface P1 of the first recess S1 and the generatrix of the second light-incident surfaces P2 of the plurality of second recesses S12 are portions of a hyperbola successively intercepted on a hyperbola; wherein, the vertex of the first light-incident surface P1 is the vertex of the hyperbola, and / or the generatrix of the first light-incident surface P1 of the first recess S11 and the generatrix of the second light-incident surfaces P2 of the plurality of second recesses S12 have the same height in the direction perpendicular to the light-emitting surface, wherein the vertex is the point x = 0 in the hyperbola equation.

[0051] In this embodiment, the equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1, m>0, n>0, p>m. The first and second incident light surfaces are taken from the portion of the hyperbola where z<=pm, and the angle between the line connecting the point on the hyperbola to the origin and the positive z-axis is less than or equal to 45°. This ensures the light incident effect while minimizing lens thinning. Here, x and z are the x-axis and z-axis in the xyz spatial coordinate system, p is a variable, m is the length of the real semi-axis, and n is the length of the imaginary semi-axis. In this invention, the variable p shifts the hyperbola upwards along the positive z-axis, and simultaneously ensures that z is a positive value when x is 0. Specifically, since the incident light angle at the far end is relatively large, the incident light surface is selected from the portion of the hyperbola whose angle with the positive z-axis does not exceed 45 degrees. This avoids a large angle between the incident light surface and the incident angle, which would prevent the light from effectively passing through the incident light surface, resulting in uneven light output and poor light efficiency. It should be noted that in this embodiment, the lens body 1 is circular for illustrative purposes. The lens body 1 is formed by splicing the semi-circular first body 11 and the semi-circular second body 12. However, the present invention is not limited to this. In other embodiments, the lens body 1 can also be triangular, rectangular, or other polygonal. When the lens body 1 is not circular, the shapes of the first body 11 and the second body 12 can also be changed accordingly.

[0052] It should also be noted that, in this embodiment, the lens body 1 is formed by splicing two semi-circular bodies, and the present invention does not limit the number of bodies used for splicing.

[0053] Please refer to Figures 2a-2c , Figure 2a , 2b Figures 2 and 2c are schematic diagrams illustrating the process of generating the lens working curve segment of the present invention. Figures 2a-2cThe diagram illustrates the process of forming the working curve of this invention. The working curve referred to in this invention specifically refers to the generatrix of the light incident surfaces of the lens, namely the generatrix of the first light incident surface P1, the second light incident surface P2, and the third light incident surface P3. The generatrix is ​​defined as the line of intersection between a plane passing through the central axis of the lens and the lens itself, for a rotationally symmetric lens. Rotating the generatrix 360 degrees around the central axis of the lens generates the three-dimensional solid form of the lens.

[0054] 2.1.1 Initial Busbar Generation

[0055] like Figure 2a arc This is the original generatrix on the incident side of the lens.

[0056] 2.1.2 Original busbar segmentation

[0057] In such Figure 2b In the coordinate system shown, the generatrix The height is the length of line segment oa.

[0058] Divide line segment 'oa' into equal parts according to a predetermined number of segments, for example, 9 segments. That is, the arc... arc arc arc arc arc arc arc arc The heights are all equal in the Z-axis direction.

[0059] It should be noted that the original busbar is divided into 9 segments here, but in practical applications it can be divided into other numbers of segments as needed.

[0060] 2.1.3 Generation of the final working curve

[0061] Definition of the final working curve: The generatrix on the light-incident side of the lens of this invention. The light-incident side refers to the side facing the light source.

[0062] like Figure 2c The final working curve arc segment Arc segment corresponding to the original busbar .

[0063] like Figure 2c The final working curve has a line segment bb' with the x-axis at a normal angle, such as 85 degrees. In the Z-axis direction, the Z-coordinate of point b' is the same as the Z-coordinate of point a.

[0064] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0065] like Figure 2c The final working curve will have a line segment cc' with the x-axis at a normal angle, such as 85 degrees. In the z-axis direction, the z-coordinate of point c' is the same as the z-coordinate of point a.

[0066] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0067] like Figure 2c The final working curve has a line segment dd' with an angle of 85 degrees with the x-axis, which is a normal value. In the z-axis direction, the z-coordinate of point d' is the same as the z-coordinate of point a.

[0068] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0069] like Figure 2c The final working curve has a line segment ee' with the x-axis at a normal angle, such as 85 degrees. In the z-axis direction, the z-coordinate of point e' is the same as the z-coordinate of point a.

[0070] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0071] like Figure 2c The final working curve has a line segment ff' with the x-axis at a normal angle, such as 85 degrees. In the Z-axis direction, the Z-coordinate of point f' is the same as the Z-coordinate of point a.

[0072] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0073] like Figure 2c The final working curve has a line segment gg' with the x-axis at a normal angle, such as 85 degrees. In the Z-axis direction, the Z-coordinate of point g' is the same as the Z-coordinate of point a.

[0074] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0075] like Figure 2cThe final working curve has a line segment hh' with the x-axis at a normal angle, such as 85 degrees. In the Z-axis direction, the Z-coordinate of point g' is the same as the Z-coordinate of point a.

[0076] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0077] like Figure 2c The angle between the line segment ii' of the final working curve and the x-axis is a certain normal value, such as 85 degrees. In the Z-axis direction, the Z coordinate of point i' is the same as the Z coordinate of point a.

[0078] like Figure 2c The final working curve arc segment Arc segment corresponding to the original curve .

[0079] like Figure 2c The final working curve has a line segment jj' with the x-axis at a normal angle, such as 85 degrees. In the z-axis direction, the z-coordinate of point j' is the same as the z-coordinate of point a.

[0080] like Figure 2c Compared to the original busbar, the final working curve has a height difference between its beginning and end points along the Z-axis that is only a fraction of that of the original busbar. Figure 2c For example, the height difference between the beginning and end points of the final working curve in the Z-axis direction is only one-ninth of that of the original generatrix. Therefore, the thickness of the final working curve in the Z-axis direction is much smaller than that of the original generatrix. In other words, the thickness of the lens is greatly reduced.

[0081] Please refer to Figures 3a-3e , Figure 3a , 3b 3c, 3d, and 3e are schematic diagrams used to analyze the advantages of a hyperbolic working curve. For example... Figures 3a-3e As shown, the advantages of the hyperbolic working curve of the present invention are as follows:

[0082] 2.2.1 The optimal function for the original busbar of the working curve is a hyperbola;

[0083] The working curve of the lens model of the present invention is preferably a hyperbolic function.

[0084] 2.2.2 Analysis of the advantages of using a hyperbola as the original generatrix of the working curve;

[0085] 2.2.2.1 Influence on the optical path of incident rays in the central direction;

[0086] like Figure 3a hyperbolas have Two curves. For the lens of this invention, the one selected is... The curved segment serves as the original busbar.

[0087] like Figure 3a The equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1.

[0088] Differentiating this equation, we get: dz / dx = (m^2 × x) / (n^2 × (zp)). Therefore, at point 2 where x = 0, dz / dx = 0. This means that the slope of the tangent line 2k at point 2 where x = 0 is 0, its angle of inclination with respect to the x-axis is 0 degrees, or in other words, the tangent line 2k at point 2 is parallel to the x-axis. The influence of the tangent line 2k at point 2 being parallel to the x-axis is analyzed as follows:

[0089] like Figure 3b The tangent 2k is parallel to the x-axis, while the incident ray o2 is parallel to the z-axis. Therefore, the incident ray o2 is perpendicular to the plane of incidence and the tangent 2k. According to Snell's law, the outgoing ray 25 is also perpendicular to the plane of incidence and the tangent 2k. This means that the outgoing ray 25 corresponding to the incident ray o2 in the central direction will still be projected in the central direction, parallel to the z-axis. This ensures that the light energy projected in the central direction is sufficient, preventing insufficient energy in the central direction from causing a dark area in the center of the light spot.

[0090] like Figure 3c In both scenarios of light incidence, o'2' is not perpendicular to the incident plane 2'k'. According to Snell's law, the outgoing ray 2'5' is not in the same direction as the incident ray o'2', or in other words, the outgoing ray 2'5' is not in the central direction. Therefore, the light energy distributed in the central direction will be insufficient, which can easily lead to a darker center of the light spot.

[0091] 2.2.2.2 Influence on the optical path of incident rays in the edge direction;

[0092] like Figure 3d In the first case of light incident, the original generatrix is ​​taken as the analysis target. u1v1 is the surface that the light source will eventually exit through the original generatrix a1j1 of the working curve, and u1v1 is parallel to the x-axis, representing the exit direction of the light.

[0093] like Figure 3d In the first case of light incident, the original generatrix a1j1 of the working curve is a hyperbola, j1m1 is the tangent of the original generatrix at point j1, and j1p1 is the normal of the original generatrix at point j1 corresponding to the tangent j1m1.

[0094] like Figure 3dIn case one of the light incident scenarios, the light source is located at point o1. o1a1 is the incident ray at point a1 in the central direction, oriented in the same direction as the z-axis. o1j1 is the incident ray at point j1 in the edge direction, oriented in the same direction as the x-axis. That is, points o1 and j1 have the same coordinates in the z-direction. According to Snell's law, the exit direction of the outgoing ray j1n1 can be determined; j1n1 is the outgoing ray at point j1. The angle between the outgoing ray j1n1 and the exit surface u1v1 is greater than 0 degrees, meaning that the outgoing ray j1n1 will eventually exit from the exit surface u1v1.

[0095] like Figure 3d In the second scenario of light incidence, for comparison, the original generatrix a2j2 of the working curve is either an ellipse or a circle. The reason for choosing an ellipse or a circle is primarily because they are the most commonly used in practice. When the lengths of o2a2 and o2j2 are equal, the original generatrix a2j2 of the working curve is a circle.

[0096] like Figure 3d In the second case of light incidence, we take the original generatrix as the analysis target. u2v2 is the surface from which the light source will finally exit after passing through the original generatrix a2j2 of the working curve. Furthermore, u2v2 is parallel to the x-axis, representing the direction of light emission. j2m2 is the tangent to the original generatrix at point j2.

[0097] like Figure 3d In the second case of ray incidence, the light source is located at point o2. o2a2 is the incident ray at point a2 along the center direction, in the same direction as the z-axis. o2j2 is the incident ray at point j2 along the edge direction, in the same direction as the x-axis. That is, points o2 and j2 have the same coordinates in the z-direction. According to the characteristics of an ellipse or circle, o2j2 is perpendicular to j2m2. According to Snell's law, the outgoing ray j2n2 is in the same direction as the incident ray o2j2. Since the incident ray o2j2 is in the same direction as the x-axis, the outgoing ray j2n2 is also in the same direction as the x-axis. However, the ray exiting surface u2v2 is parallel to the x-axis, so the outgoing ray j2n2 is parallel to the ray exiting surface u2v2. In other words, the outgoing ray j2n2 will not ultimately exit from the ray exiting surface u2v2.

[0098] like Figure 3e In the third case of light incidence, u1v1 is the surface from which the light source will finally exit after passing through the original generatrix a1j1 of the working curve, representing the direction of light emission, and u1v1 is parallel to the x-axis.

[0099] like Figure 3e In the third case of light incident, the original generatrix a1j1 of the working curve is a hyperbola, j1m1 is the tangent of the original generatrix at point j1, and j1p1 is the normal of the original generatrix at point j1 corresponding to the tangent j1m1.

[0100] like Figure 3eIn the third case of light incidence, the light source is located at point s1, s1a1 is the incident ray at point a1 in the central direction, in the same direction as the z-axis, and s1j1 is the incident ray at point j1 in the edge direction. Compared to the first case of light incidence, the position of the light source is lower.

[0101] like Figure 3e In case three of light incidence, for the convenience of the following reasoning, several angles are defined as follows:

[0102] ∠o1j1s1=θ, ∠o1j1p1=α.

[0103] According to Snell's law, the angle between the outgoing ray j1n1 and the X direction can be derived as follows:

[0104] α-arcsin(sin(α-θ) / Rf), where Rf is the refractive index of the lens material. With current technology and commonly used materials, Rf is typically greater than 1. Here, "arcsin" is the symbol for the arcsine function.

[0105] like Figure 3d In the fourth case of light incidence, u2v2 is the surface from which the light source will ultimately exit after passing through the original generatrix a2j2 of the working curve, representing the direction of light emission, and u2v2 is parallel to the x-axis. j2m2 is the tangent to the original generatrix at point j2.

[0106] like Figure 3d In case four, the light source is located at point s2. s2a2 is the incident ray at point a2 along the central direction, parallel to the z-axis, and s2j2 is the incident ray at point j2 along the edge direction. Compared to cases one and two, the light source is positioned lower. Furthermore, to ensure that the preconditions for comparing and demonstrating cases three and four are the same, the lengths of o1s1 and o2s2 are equal, and the lengths of o1j1 and o2j2 are equal.

[0107] Therefore, as Figure 3e For light incident scenarios three and four, the relevant angles are calculated as follows:

[0108] ∠o2j2s2=∠o1j1s1=θ.

[0109] like Figure 3e Case 4 of light incidence: According to Snell's law, the angle between the outgoing ray j2n2 and the X direction can be derived as follows:

[0110] arcsin(sin(θ) / Rf), where Rf is the refractive index of the lens material.

[0111] like Figure 3e Case 3 of light incidence, the angle between the outgoing ray j1n1 and the X direction:

[0112] α-arcsin(sin(α-θ) / Rf);

[0113] When α ≥ θ, α - θ ≥ 0, and the refractive index Rf > 1, so sin(α - θ) / Rf < sin(α - θ). Therefore, α - arcsin(sin(α - θ) / Rf) > α - arcsin(sin(α - θ)) = α - (α - θ) = θ. Also, because the refractive index Rf > 1, arcsin(θ / Rf) < arcsin(θ) = θ. Therefore, α - arcsin(sin(α - θ) / Rf) > arcsin(sin(θ) / Rf).

[0114] When α≤θ, α-arcsin(sin(α-θ) / Rf)=α+arcsin(sin(θ-α) / Rf). And α=arcsin(sin(α)).

[0115] According to the formula for calculating the arcsine function

[0116] α+arcsin(sin(θ-α) / Rf)=arcsin(sin(α))+arcsin(sin(θ-α) / Rf)=arcsin(sin(α)×(1-(sin(θ-α) / Rf)^2)^0.5+(sin(θ-α) / Rf)×cos(α)).

[0117] And 1-(sin(θ-α) / Rf)^2>1 / Rf^2-(sin(θ-α) / Rf)^2=(cos(θ-α) / Rf)^2. Therefore, arcsin(sin(α)×(1-(sin(θ-α) / Rf)^2)^0.5+(sin(θ-α) / Rf)×cos(α))>arcsin(sin(α)×cos(θ-α) / Rf+sin(θ-α)×cos(α) / Rf)=arcsin(sin(θ) / Rf). Therefore, α-arcsin(sin(α-θ) / Rf)>arcsin(sin(θ) / Rf).

[0118] Therefore, compared to an ellipse or a circle, the angle between the emitted light rays from the edge points of a hyperbolic working curve and the x-direction is larger. Since the light exit surface u1v1 or u2v2 is parallel to the x-direction, the angle between the emitted light rays from the edge points of a hyperbolic working curve and the light exit surface is also larger than that of an ellipse or a circle. In other words, compared to an ellipse or a circle, the emitted light rays from a hyperbolic working curve have a higher probability of exiting from the light exit surface. That is to say, compared to an ellipse or a circle, a hyperbolic working curve has higher light emission efficiency.

[0119] In one embodiment of the present invention, the ultrathin lens model is a total internal reflection lens.

[0120] Please refer to Figure 4a , Figure 4a This is a schematic diagram of a lens array according to an embodiment of the present invention. Figure 4a As shown, a lens array of the present invention includes a plurality of lens modules as described in any one of the above descriptions, each of the lens modules being linearly arranged along a direction.

[0121] Specifically, the lens modules that make up the lens array are arranged linearly in one direction, and the center of each ultrathin lens model faces a light source, and the light sources are also arranged linearly in one direction.

[0122] It should be noted that this embodiment uses a lens module of 9 as an example for illustration, but in practical applications with linear arrangement, the number of lens modules is not limited to 9.

[0123] Please refer to Figure 4b , Figure 4b This is a schematic diagram of the lens array according to another embodiment of the present invention. Figure 4b As shown, a lens array of the present invention includes a plurality of lens modules as described in any one of the above descriptions, each of the lens modules being arranged in an array along the X and Y directions.

[0124] Specifically, the lens modules that make up the lens array are arranged along the X and Y directions, and the boundary of the overall lens array is rectangular. The center of each ultrathin lens model faces a light source.

[0125] It should be noted that in this embodiment, the number of lens modules in the X direction is 9 and the number of lens modules in the Y direction is 3. In practical applications, the number is not limited to this setting.

[0126] The present invention also provides a lamp, including a light source and a lens module as described above. The lens module includes a lens body, the lens body having two oppositely arranged sides, wherein a first light-incident surface is formed in the middle of one of the two sides, and a plurality of second recesses are spaced apart around the first light-incident surface, the inner surface of the second recesses forming a second light-incident surface, and a light-exiting surface is formed on the other side of the lens body, the light-exiting surface being planar.

[0127] The second recessed portion S12 includes an inner side facing the first light-incident surface and an outer side facing away from the first light-incident surface. The outer side of the second recessed portion has an angle with the horizontal surface, and at least a portion of the angle between the outer side of the second recessed portion and the horizontal surface is an acute angle. The second light-incident surface is formed on the inner side.

[0128] In this embodiment, a first recessed portion S11 is formed by indenting the middle of one of the two sides S1 and S2, and a first light-incident surface P1 is formed on the inner surface of the first recessed portion S11, which is a preferred embodiment.

[0129] The lens body has a rotationally symmetric structure. The generatrix of the first light-incident surface of the first recess and the generatrix of the second light-incident surfaces of the plurality of second recesses are portions of a hyperbola successively intercepted from a hyperbola. Different lenses have different light-out angles, and the parameters of the hyperbola are different. The equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1, m>0, n>0, p>m. The first light-incident surface and the second light-incident surface are taken from the portion of the hyperbola where z<=pm, and the angle between the line connecting the point on the hyperbola to the origin and the positive z-axis is less than or equal to 45°.

[0130] Wherein, the vertex of the first incident light surface is the vertex of the hyperbola, the light source is arranged on the line connecting the vertex and the focal point of the hyperbola, and is located at or outside the focal point of the hyperbola, thereby increasing the number of light rays incident on the lens, improving the uniformity of light output, and avoiding the generation of uneven light spots due to high concentration of light rays in the middle of the lens. The vertex is the point x = 0 in the hyperbola equation.

[0131] In summary, this invention significantly reduces the size of the lens in the thickness direction by decomposing and shifting the incident light surface curve of the lens to form a new lens arc segment group, while also having the advantages of reliable operation and simplicity. Compared with the prior art, this invention has advantages in size, especially in thickness, and can be used in some specific applications, such as applications with strict requirements on lamp body thickness.

[0132] Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A lens module, characterized in that, The lens body includes a lens body having two opposite sides, wherein a first light-incident surface is formed in the middle of one of the two sides, and a plurality of second recesses are spaced apart around the first light-incident surface, and a second light-incident surface is formed on the inner surface of the second recesses. A light-exiting surface is formed on the other side of the lens body, and the light-exiting surface is a plane. The second recess includes an inner side facing the first light-incident surface and an outer side facing away from the first light-incident surface. The outer side of the second recess has an angle with the horizontal surface, and at least a portion of the angle between the outer side of the second recess and the horizontal surface is an acute angle. The second light-incident surface is formed on the inner side. The plurality of second recesses are concentric circle structures; a cross-section perpendicular to the light-emitting surface is drawn through the center of the concentric circle structure, and the cross-section line of the second light-incident surface of at least one second recess is a part of a hyperbola; the equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1, m>0, n>0, p>m, the first light-incident surface and the second light-incident surface are taken from the part of the hyperbola where z<=pm, and the angle between the line connecting the point on it and the origin and the positive z-axis is less than or equal to 45°, where x and z are the x-axis and z-axis in the xyz spatial coordinate axis, p is a variable, m is the length of the real half axis, and n is the length of the imaginary half axis.

2. The lens module as described in claim 1, characterized in that, The middle of one of the two sides of the lens body is recessed inward to form a first recess, and the first light-incident surface is formed on the inner surface of the first recess; wherein the top ends of the first recess and the second recess are located on the same horizontal plane, and / or the bottom ends of the first recess and the second recess are located on the same horizontal plane.

3. The lens module as described in claim 1, characterized in that, The first light-incident surface is a convex arc-shaped surface, and the second light-incident surface is a concave arc-shaped surface; or, both the first light-incident surface and the second light-incident surface are concave arc-shaped surfaces.

4. The lens module as described in claim 2, characterized in that, The angle between the outer surfaces of the plurality of second recesses and the horizontal plane gradually decreases as the distance from the first recess increases, and / or the spacing between the plurality of second recesses gradually increases as the distance from the first recess increases.

5. The lens module as described in claim 1, characterized in that, The outer side of the second recess has an angle with the horizontal surface, and the angle ranges from 80 to 86 degrees.

6. The lens module as described in claim 2, characterized in that, The plurality of second recesses are concentric circular structures surrounding the first recess; wherein, the cross-sectional lines of the first light-incident surface of the first recess and the second light-incident surfaces of the plurality of second recesses are both part of a hyperbola.

7. The lens module as described in claim 2, characterized in that, The lens body has a rotationally symmetric structure, and the generatrix of the first light-incident surface of the first recess and the generatrix of the second light-incident surfaces of the plurality of second recesses are portions of a hyperbola that are successively intercepted on the hyperbola.

8. The lens module as described in claim 7, characterized in that, The vertex of the first light-incident surface is the vertex of a hyperbola, and / or the generatrix of the first light-incident surface of the first recess and the generatrix of the second light-incident surfaces of the plurality of second recesses have the same height in the direction perpendicular to the light-out surface.

9. A lens array, characterized in that, It includes multiple lens modules as described in any one of claims 1-8 above, each lens module being arranged linearly along one direction, or each lens module being arranged in an array along two directions, X and Y.

10. A lamp, characterized in that, The system includes a light source and a lens module. The lens module includes a lens body with two opposing sides. One of the two sides forms a first light-incident surface. A plurality of second recesses are spaced apart around the first light-incident surface. The inner surface of the second recesses forms a second light-incident surface. The other side of the lens body forms a light-exit surface, which is a plane. The second recess includes an inner side facing the first light-incident surface and an outer side facing away from the first light-incident surface. The outer side of the second recess has an angle with the horizontal surface, and at least a portion of the angle between the outer side of the second recess and the horizontal surface is an acute angle. The second light-incident surface is formed on the inner side. The plurality of second recesses are concentric circle structures. A cross-section perpendicular to the light-emitting surface is drawn through the center of the concentric circle structure, and the cross-section line of the second light-incident surface of at least one second recess is a part of a hyperbola. The equation of the hyperbola is (zp)^2 / m^2-x^2 / n^2=1, m>0, n>0, p>m. The first incident surface and the second incident surface are taken from the part of the hyperbola where z<=pm, and the angle between the line connecting the point on the hyperbola and the origin and the positive z-axis is less than or equal to 45°. Here, x and z are the x-axis and z-axis in the xyz spatial coordinate axis, p is a variable, m is the length of the real half axis, and n is the length of the imaginary half axis.

11. The lamp as described in claim 10, characterized in that, The lens body has a first recessed portion formed by inward indentation in the middle of one of the two sides of the lens body, and the first light-incident surface is formed on the inner surface of the first recessed portion; the lens body has a rotationally symmetric structure, and the generatrix of the first light-incident surface of the first recessed portion and the generatrix of the second light-incident surfaces of the plurality of second recessed portions are a portion of a hyperbola that is successively intercepted on a hyperbola.

12. The lamp as described in claim 11, characterized in that, The vertex of the first incident surface is the vertex of the hyperbola, and the light source is arranged on the line connecting the vertex and the focal point of the hyperbola, and is located at or outside the focal point of the hyperbola.