Optical element, construction method, device, medium and equipment of optical element

By designing a rotatably symmetric free-surface optical element, the light intensity distribution on the target surface is proportional to 1/cos3φ, which solves the problem of insufficient illuminance uniformity of the desk lamp and achieves improved illuminance uniformity and visual comfort.

CN114263894BActive Publication Date: 2025-01-14DOUYIN VISION CO LTD
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Patent Information

Application Number
CN202111670069.1
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2021-12-31
Publication Date
2025-01-14
Estimated Expiration
2041-12-31

AI Technical Summary

Technical Problem

The illumination uniformity of existing desk lamps is insufficient, resulting in uneven lighting and visual fatigue, making it difficult to meet the AA standard requirements of GB9473.

Method used

Design an optical element, which includes a rotatably symmetric free surface, and the target light intensity distribution on the target surface is in a positive proportional relationship with 1/cos3φ. By determining the light source light intensity distribution of the incident light ray and the initial illuminance distribution of the target surface, a free surface correspondence is generated. The profile curve and free surface of the light can achieve uniform area illumination.

Benefits of technology

Effectively control the illuminance uniformity of the optical element below 2, improve visual comfort, relieve visual fatigue, and meet the lighting uniformity needs.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present disclosure relates to an optical element, a construction method, a device, a medium and a device for an optical element. The optical element is used to deflect incident light and then irradiate a target surface. The optical element includes a rotationally symmetric free-form surface. The target light intensity distribution on the target surface is 1 / cos 3 φ is in direct proportion to the incident light, where φ is the pitch angle of the outgoing light after the incident light is deflected by the optical element. 3 φ is in direct proportion, thus the illumination of the target surface can be kept consistent, so that the illumination uniformity of the optical element is stably controlled below 2, thereby improving the visual efficacy and comfort of the user and alleviating the occurrence of visual fatigue.
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Description

Technical Field

[0001] The present disclosure relates to the field of optical technology, and in particular, to an optical element, a construction method, a device, a medium and equipment of the optical element. Background Art

[0002] Some desk lamps used for reading and writing lighting do not have lighting optical design, for example, light bulbs or lamp tubes with lampshades, while others have lighting optical design, for example, LED light source particles are arranged in a circular or rectangular array, and diffusers, lenses or reflective elements are added, and the lighting range is mostly circular, elliptical or nearly rectangular. The illumination uniformity of desk lamps that meet the AA standard of GB9473 must be less than 3, that is, the ratio of the maximum to minimum illumination within the 50CM lighting range of the center of the desk lamp is not greater than 3. Under the premise of a reasonable illumination value, the closer the illumination uniformity is to 1, the more uniform the lighting is, the less likely it is to cause visual fatigue, and the better the lighting experience for users. Therefore, how to reduce the illumination uniformity of optical components to ensure uniform lighting becomes the key to improving the lighting experience. Summary of the invention

[0003] This section is provided to introduce the concepts in a brief form, which will be described in detail in the detailed implementation section below. This section is not intended to identify the key features or essential features of the technical solution claimed for protection, nor is it intended to be used to limit the scope of the technical solution claimed for protection.

[0004] In a first aspect, the present disclosure provides an optical element for refracting incident light to illuminate a target surface, wherein the optical element comprises a rotationally symmetric free-form surface, and the target light intensity distribution on the target surface is 1 / cos 3 φ is in direct proportion to the incident light, wherein φ is the pitch angle of the outgoing light after the incident light is deflected by the optical element.

[0005] In a second aspect, the present disclosure provides a desk lamp comprising a light source and an optical element, wherein the optical element is the optical element provided according to the first aspect of the present disclosure.

[0006] In a third aspect, the present disclosure provides a method for constructing an optical element, wherein the optical element is the optical element provided according to the first aspect of the present disclosure;

[0007] The method comprises:

[0008] Determine the light intensity distribution of the light source of the incident light, wherein it is assumed that the light source of the incident light is a point light source;

[0009] Acquire an initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant;

[0010] Determining a target light intensity distribution on the target surface based on the initial illumination distribution;

[0011] Generating a contour curve corresponding to the free-form surface according to the target light intensity distribution and the light source light intensity distribution;

[0012] The free-form surface is generated according to the contour curve.

[0013] In a fourth aspect, the present disclosure provides a device for constructing an optical element, wherein the optical element is the optical element provided according to the first aspect of the present disclosure;

[0014] The device comprises:

[0015] A first determination module is used to determine the light source intensity distribution of the incident light, wherein it is assumed that the light source of the incident light is a point light source;

[0016] An acquisition module, used for acquiring an initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant;

[0017] A second determining module, configured to determine a target light intensity distribution on the target surface based on the initial illumination distribution acquired by the acquiring module;

[0018] A first generating module, configured to generate a contour curve corresponding to the free-form surface according to the target light intensity distribution determined by the second determining module and the light source light intensity distribution determined by the first determining module;

[0019] The second generating module is used to generate the free-form surface according to the contour curve generated by the first generating module.

[0020] In a fifth aspect, the present disclosure provides a computer-readable medium having a computer program stored thereon, which, when executed by a processing device, implements the steps of the method provided in the third aspect of the present disclosure.

[0021] In a sixth aspect, the present disclosure provides an electronic device, including:

[0022] a storage device having one or more computer programs stored thereon;

[0023] One or more processing devices, used to execute the one or more computer programs in the storage device to implement the steps of the method provided in the third aspect of the present disclosure.

[0024] In the above technical solution, the optical element used to deflect the incident light and then illuminate the target surface includes a rotationally symmetric free-form surface, and the target light intensity distribution on the target surface is 1 / cos 3 φ is directly proportional to the target light intensity distribution on the target surface.3 φ is in direct proportion to the target surface illumination, thereby ensuring that the illumination uniformity of the optical element is stably controlled below 2, thereby improving the visual efficacy and comfort of the user and alleviating the occurrence of visual fatigue.

[0025] Other features and advantages of the present disclosure will be described in detail in the following detailed description. BRIEF DESCRIPTION OF THE DRAWINGS

[0026] The above and other features, advantages and aspects of the embodiments of the present disclosure will become more apparent with reference to the following detailed description in conjunction with the accompanying drawings. Throughout the drawings, the same or similar reference numerals represent the same or similar elements. It should be understood that the drawings are schematic and the originals and elements are not necessarily drawn to scale. In the drawings:

[0027] Figure 1 is a schematic diagram of a three-dimensional structure of an optical element according to an exemplary embodiment.

[0028] Figure 2 yes Figure 1 Schematic diagram of light refraction in the optical element shown in .

[0029] Figure 3 yes Figure 1 A cross-sectional view of the optical element shown in FIG.

[0030] Figure 4 is a schematic diagram of a three-dimensional structure of an optical element according to another exemplary embodiment.

[0031] Figure 5 yes Figure 4 Schematic diagram of light refraction in the optical element shown in .

[0032] Figure 6 yes Figure 4 A cross-sectional view of the optical element shown in FIG.

[0033] Figure 7 is a flow chart of a method for constructing an optical element according to an exemplary embodiment.

[0034] Figure 8 is a flow chart of a method for constructing an optical element according to another exemplary embodiment.

[0035] Fig. 9 It is a block diagram of a device for constructing an optical element according to an exemplary embodiment.

[0036] Fig.10 It is a block diagram of an electronic device according to an exemplary embodiment. DETAILED DESCRIPTION

[0037] Embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. Although certain embodiments of the present disclosure are shown in the accompanying drawings, it should be understood that the present disclosure can be implemented in various forms and should not be construed as being limited to the embodiments described herein, which are instead provided for a more thorough and complete understanding of the present disclosure. It should be understood that the drawings and embodiments of the present disclosure are only for exemplary purposes and are not intended to limit the scope of protection of the present disclosure.

[0038] It should be understood that the various steps described in the method embodiments of the present disclosure may be performed in different orders and / or in parallel. In addition, the method embodiments may include additional steps and / or omit the steps shown. The scope of the present disclosure is not limited in this respect.

[0039] The term "including" and its variations used herein are open inclusions, i.e., "including but not limited to". The term "based on" means "based at least in part on". The term "one embodiment" means "at least one embodiment"; the term "another embodiment" means "at least one additional embodiment"; the term "some embodiments" means "at least some embodiments". The relevant definitions of other terms will be given in the following description.

[0040] It should be noted that the concepts such as "first" and "second" mentioned in the present disclosure are only used to distinguish different devices, modules or units, and are not used to limit the order or interdependence of the functions performed by these devices, modules or units.

[0041] It should be noted that the modifications of "one" and "plurality" mentioned in the present disclosure are illustrative rather than restrictive, and those skilled in the art should understand that unless otherwise clearly indicated in the context, it should be understood as "one or more".

[0042] The names of the messages or information exchanged between multiple devices in the embodiments of the present disclosure are only used for illustrative purposes and are not used to limit the scope of these messages or information.

[0043] The present disclosure provides an optical element for refracting incident light to perform regional illumination on a target surface, wherein the optical element comprises a rotationally symmetric free-form surface, and the target light intensity distribution on the target surface is 1 / cos 3 φ is in direct proportion to the incident light, where φ is the pitch angle of the outgoing light after the incident light is deflected by the optical element.

[0044] like Figure 3 and Figure 6As shown, the pitch angle φ is the angle between the incident light and the outgoing light after the incident light is deflected by the optical element and the Z axis. In which, a spherical coordinate system is established with the light source as the coordinate origin, where the Z axis is the normal direction of the light-emitting surface, the space above the XOY plane is the hemispherical space where the light source emits light, and the X axis is Figure 5 The target plane is a plane perpendicular to the Z axis.

[0045] For example, the target light intensity distribution I t =E0h 2 / cos 3 φ, where E0 is the illumination distribution of the target surface, which is a constant (i.e., the target surface is uniformly illuminated), and h is the distance between the light-emitting surface and the target surface.

[0046] The use of specially designed lenses or reflectors in the lighting optical system can achieve the desired lighting effect, such as a specific illumination distribution or intensity distribution. To achieve this goal, the light emitted by the light source needs to pass through the surface of an optical element (such as glass, plastic or metal, etc.) with a certain curvature and refractive index to achieve refraction or reflection, which may make the light-emitting surface of the optical system have a convex or concave structure. For the sake of practicality, beauty, easy cleaning, easy processing and ensuring optical efficiency, the light-emitting surface should be as flat or continuous as possible (except for decorative lamps).

[0047] In view of this, in one embodiment, the optical element may be a reflector, which includes a rotationally symmetric free-form surface.

[0048] In another embodiment, the optical element may be a lens, wherein the light emitting surface of the lens may be a free-form surface or a plane.

[0049] For example, Figure 1-Figure 3 As shown, the light incident surface of the lens is spherical, the light emitting surface is a rotationally symmetrical free-form surface, and the free-form surface is convex. The distance between the light emitting surface and the target surface is in the range of 40cm to 50cm, and the target surface is a circle with a radius in the range of 50cm to 60cm.

[0050] For example, the distance between the light-emitting surface and the target surface is 40 cm, the target surface is a circle with a radius of 50 cm, and the maximum value of the pitch angle of the incident light is 90°.

[0051] The lens can produce a circular and uniform illumination distribution in the far field, and even if the pitch angle of the incident light is 90°, the lens can still collect the incident light, thereby improving optical utilization.

[0052] For example, Figure 4-Figure 6As shown, the light incident surface of the lens is a rotationally symmetrical free-form surface, and the free-form surface is a concave surface, and the light emitting surface is a plane, which produces a circular uniform illumination distribution in the far field. In addition, since the light emitting surface is a plane, it is easy to manufacture, the lens is thinner, and the volume of the lens is reduced. Among them, the distance between the light emitting surface and the target surface is in the range of 40cm to 50cm, and the target surface is a circle with a radius in the range of 60cm to 75cm.

[0053] For example, the distance between the light emitting surface and the target surface is 45 cm, the target surface is a circle with a radius of 67 cm, the maximum value of the pitch angle of the incident light is 56°, and the material of the lens is polymethyl methacrylate (PMMA).

[0054] In addition, the material of the optical element may be polycarbonate (PC), PMMA, glass, etc., which is not specifically limited in the present disclosure.

[0055] The present disclosure also provides a desk lamp, which includes a light source and an optical element, wherein the optical element is the above-mentioned optical element provided by the present disclosure.

[0056] The following is a detailed description of the construction method of the above optical element. Before constructing the optical element, the construction parameters can be pre-set, as follows:

[0057] a. LED light source: type (e.g., point light source or surface light source), position, size, and light intensity distribution of the light source.

[0058] b. Optical elements: type (e.g., lens or reflector), material (e.g., PC, PMMA or glass, etc.), refractive index n (if it is a reflector, the refractive index n=-1), initial structure, and size.

[0059] For example, the optical element is a lens, and the initial structure may be that the light incident surface is a spherical surface, and the light exit surface is a rotationally symmetric free-form surface. Figure 2 As shown in FIG, the light source emits light in all directions, and the optical element receives the light emitted by the light source (i.e., the incident light). Figure 3 As shown, the incident light The light is refracted through the spherical surface and the free-form surface in turn. The target surface is illuminated in a region, where, according to the law of refraction, the light does not change direction when passing through the spherical surface. The outgoing light after being deflected by the optical element is the light

[0060] As another example, the optical element is a lens, the light incident surface is a rotationally symmetric free-form surface, and the light emitting surface is a plane. Figure 5As shown in FIG, the light source emits light in all directions, and the optical element receives the light emitted by the light source (i.e., the incident light). Figure 6 As shown, the incident light The light is refracted by the free-form surface. Afterwards, the light After the plane is refracted, the light is formed In order to illuminate the target surface in a region, the incident light is deflected by the optical element and the outgoing light is the light

[0061] As another example, the optical element is a reflector, which includes a rotationally symmetric free-form surface, that is, the light incident surface and the light emitting surface are both the free-form surface.

[0062] c. Target surface: position, size, target light intensity distribution and initial illumination distribution, where the target light intensity distribution is related to 1 / cos 3 φ is in direct proportion.

[0063] Specifically, it can be done through Figure 7 The above optical element is constructed by performing S701 to S705 shown in FIG.

[0064] In S701, the light intensity distribution of the incident light is determined.

[0065] In the present disclosure, the light source generating the incident light may be a point light source or a surface light source (for example, LEDs arranged in a circular arrangement or a rectangular array). When constructing the optical element, it is pre-assumed that the light source of the incident light is a point light source.

[0066] Specifically, the light intensity distribution of the incident light source I s (C,γ)=cosγ, its integrated energy Then the light intensity distribution of the light source can be further normalized to I s,1 = cosγ / C1, where (C, γ) is the spherical coordinate of the incident light, and C is the azimuth of the incident light (i.e., the angle between the incident light and the X-axis, such as Figure 3 and Figure 6 ), γ is the pitch angle of the incident light (as shown in Figure 3 and Figure 6 ), γ1 is the maximum value of the pitch angle of the incident light, I s,1 is the normalized light intensity distribution of the incident light.

[0067] In S702, the initial illumination distribution of the target surface is obtained.

[0068] In the present disclosure, the initial illumination distribution is a constant E0, illustratively, E0=1.

[0069] In S703, based on the initial illumination distribution, the target light intensity distribution on the target surface is determined.

[0070] Specifically, the initial illumination distribution E0 = I t cos 3 φ / h 2 , so that the target light intensity distribution I t =E0h 2 / cos 3 φ, where (θ, φ) is the spherical coordinate of the outgoing light after the incident light is deflected by the optical element, and θ is the azimuth angle of the outgoing light after the incident light is deflected by the optical element (e.g. Figure 3 and Figure 6 ), φ is the pitch angle of the outgoing light after the incident light is deflected by the optical element (as shown in Figure 3 and Figure 6 ).

[0071] It can be seen that I t ∝1 / cos 3 φ, integrated energy of target light intensity distribution Where φ1 = arctan(r / h), r is the radius of the target surface. Similarly, the target light intensity distribution can be further normalized to I t,1 =cos 3 φ / C2,I t,1 is the target light intensity distribution after normalization.

[0072] In S704, a contour curve corresponding to the free-form surface is generated according to the target light intensity distribution and the light source light intensity distribution.

[0073] In S705 , a rotationally symmetric free-form surface is generated according to the contour curve.

[0074] Specifically, a rotationally symmetric free-form surface can be obtained by rotating the contour curve 90° around the X-axis.

[0075] The construction method can be used to easily obtain the expected light distribution on the target surface, such as uniform illumination, uniform light intensity distribution, specially defined illumination distribution or light intensity distribution. The method can be used to design the optical system of a desk lamp, and can also be used to design other indoor and outdoor lamps.

[0076] The following is a detailed description of the specific implementation method of generating a contour curve corresponding to the free-form surface according to the target light intensity distribution and the light source light intensity distribution in the above S704. Specifically, it can be achieved by the following steps (1) and (2):

[0077] (1) According to the target light intensity distribution and the light source intensity distribution, a mapping relationship between the incident light and the outgoing light of the free-form surface is established.

[0078] For example, when the optical element is a lens, the light incident surface of the lens is a spherical surface, the light emitting surface is a rotationally symmetric free-form surface, and the free-form surface is a convex surface (such as Figure 3 As shown), the outgoing light of the free-form surface is the light

[0079] As another example, in the case where the optical element is a lens, the light incident surface of the lens is a rotationally symmetric free-form surface, the free-form surface is a concave surface, and the light emitting surface is a flat surface (such as Figure 6 As shown), the outgoing light of the free-form surface is the light

[0080] (2) According to the mapping relationship, the contour curve surface corresponding to the free-form surface is generated based on the law of refraction.

[0081] The following is a detailed description of the specific implementation method of establishing the mapping relationship between the incident light and the outgoing light of the free-form surface according to the target light intensity distribution and the light source light intensity distribution in the above step (1). Specifically, it can be achieved by the following steps (11) to (13).

[0082] (11) According to the target light intensity distribution, the outgoing light intensity distribution of the outgoing light of the free-form surface is determined.

[0083] In the present disclosure, the optical element is a lens, the light incident surface of the lens is a spherical surface, the light exiting surface is a rotationally symmetric free-form surface, and the free-form surface is a convex surface (such as Figure 1-Figure 3 Or, when the optical element is a reflector, the outgoing light intensity distribution of the outgoing light of the free-form surface is the target light intensity distribution.

[0084] In the case where the optical element is a lens, the light incident surface of the lens is a rotationally symmetrical free-form surface, the free-form surface is a concave surface, and the light emitting surface is a flat surface (i.e. Figure 4-Figure 6 As shown in , the outgoing light of the free-form surface can be determined according to the target light intensity distribution, based on the law of energy conservation and refraction. The output light intensity distribution.

[0085] Specifically, since the light-emitting surface is a plane, according to the target light intensity distribution, based on the law of energy conservation and refraction, the following equation (1) can be obtained:

[0086]

[0087] Where n is the refractive index of the optical element; I2 is the outgoing light of the free-form surface The outgoing light intensity distribution; (u, v) is the outgoing light of the free surface The spherical coordinates of the free surface are The azimuth angle, v is the outgoing light of the free surface Pitch angle; v1 = arcsin (sinφ1 / n).

[0088] According to the above equation (1), I2∝n 2 cosv / (1-n 2 sin 2 v) 2 , the outgoing light of the free-form surface The integrated energy Then the outgoing light of the free-form surface The output light intensity distribution can be further normalized to I 2,1 =(n 2 cosv / (1-n 2 sin 2 v) 2 ) / C3, where I 2,1 is the outgoing ray of the free-form surface obtained after normalization The output light intensity distribution.

[0089] (12) According to the outgoing light intensity distribution and the light source intensity distribution, a first differential equation group of the mapping relationship between the incident light and the outgoing light of the free surface is constructed based on the law of conservation of energy.

[0090] For example, the optical element is a lens, the light incident surface of the lens is a spherical surface, the light emitting surface is a rotationally symmetric free-form surface, and the free-form surface is a convex surface (such as Figure 1-Figure 3 Or, when the optical element is a reflector, according to the outgoing light intensity distribution and the light source intensity distribution, based on the law of conservation of energy (i.e., C1=C2), the first differential equation group of the mapping relationship between the incident light and the outgoing light of the free-form surface is constructed as shown in the following equation (2):

[0091]

[0092] in, φ(γ) is the incident light and the outgoing light of the free surface The mapping relationship.

[0093] As another example, in the case where the optical element is a lens, the light incident surface of the lens is a rotationally symmetrical free-form surface, and the free-form surface is a concave surface, and the light emitting surface is a flat surface (ie, Figure 4-Figure 6 As shown in ), according to the outgoing light intensity distribution and the light source intensity distribution, based on the law of conservation of energy (i.e., C3=C1), the first differential equation group of the mapping relationship between the incident light and the outgoing light of the free-form surface is constructed as shown in the following equation (3):

[0094]

[0095] in, u(γ) is the incident light and the outgoing light of the free surface The mapping relationship.

[0096] (13) Solve the first differential equation group to obtain the mapping relationship between the incident light and the outgoing light of the free surface.

[0097] The following is a detailed description of the specific implementation method of generating the contour curve surface corresponding to the free-form surface based on the mapping relationship and the law of refraction in the above step (2). Specifically, it can be achieved by the following steps (21) to (23):

[0098] (21) According to the mapping relationship, a second differential equation group of the curvature radius of the contour curve corresponding to the free-form surface is constructed based on the law of refraction.

[0099] For example, the optical element is a lens, the light incident surface of the lens is a spherical surface, the light emitting surface is a rotationally symmetric free-form surface, and the free-form surface is a convex surface (such as Figure 1-Figure 3 Or, when the optical element is a reflector, according to the mapping relationship, based on the law of refraction, the second differential equation group of the curvature radius of the contour curve corresponding to the free-form surface constructed is shown in the following equation (4):

[0100]

[0101] in, ρ is the curvature radius of the contour curve corresponding to the free-form surface; ρ(γ) is the curvature radius function of the contour curve corresponding to the free-form surface, and h0 is the distance between the center point of the free-form surface and the light source (a preset value).

[0102] As another example, in the case where the optical element is a lens, the light incident surface of the lens is a rotationally symmetrical free-form surface, and the free-form surface is a concave surface, and the light emitting surface is a flat surface (ie, Figure 4-Figure 6 As shown in ), according to the mapping relationship and based on the law of refraction, the second differential equation group of the curvature radius of the contour curve corresponding to the free-form surface constructed is shown in the following equation (5):

[0103]

[0104] (22) Solve the second set of differential equations to obtain the curvature radius function of the contour curve.

[0105] (23) Generate a contour curve based on the curvature radius function.

[0106] Because the initial construction assumes that the light source of the incident light is a point light source, and in actual applications, when the light source is actually a surface light source, the target surface light spot generated in the actual ray tracing must be different from the target illumination distribution. Therefore, when the light source of the incident light is actually a surface light source, it is necessary to perform feedback iteration correction on the optical element constructed above (specifically, the contour curve) so that the target surface light spot generated in the actual ray tracing is consistent with the target illumination distribution to meet the lighting requirements. Specifically, Figure 8 As shown in , the above method also includes S706 and S707.

[0107] In S706, it is determined whether the illumination of the target surface meets a preset condition.

[0108] In S707, the initial illumination distribution is updated.

[0109] In the present disclosure, the preset condition may be any one of the following:

[0110] The deviation between the illumination value of the entire target surface and the first ideal illumination value is less than a first preset deviation;

[0111] The deviation between the illumination value of a certain area in the target surface and the second ideal illumination value is less than the second preset deviation;

[0112] The illumination uniformity of a certain area in the target surface is less than a preset illumination uniformity threshold.

[0113] If the illumination of the target surface does not meet the above preset conditions, it indicates that the optical element does not meet the lighting requirements. At this time, S707 can be executed, and then return to the above S703 until the illumination of the target surface meets the above preset conditions; if the illumination of the target surface meets the above preset conditions, it indicates that the optical element meets the lighting requirements. At this time, the iterative correction of the optical element can be stopped, that is, the process ends.

[0114] Fig. 9 is a block diagram of a device for constructing an optical element according to an exemplary embodiment, wherein the optical element is the above-mentioned optical element provided by the present disclosure. Fig. 9 As shown, the device 900 includes:

[0115] A first determination module 901 is used to determine the light source intensity distribution of the incident light, wherein it is assumed that the light source of the incident light is a point light source;

[0116] An acquisition module 902 is used to acquire an initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant;

[0117] A second determining module 903, configured to determine a target light intensity distribution on the target surface based on the initial illumination distribution acquired by the acquiring module 902;

[0118] A first generating module 904, configured to generate a contour curve corresponding to the free-form surface according to the target light intensity distribution determined by the second determining module 903 and the light source light intensity distribution determined by the first determining module 901;

[0119] The second generating module 905 is used to generate the free-form surface according to the contour curve generated by the first generating module 904 .

[0120] The construction device can be used to conveniently obtain the expected light distribution on the target surface, such as uniform illumination, uniform light intensity distribution, specially defined illumination distribution or light intensity distribution. The method can be used to design the optical system of a desk lamp, and can also be used to design other indoor and outdoor lamps.

[0121] Optionally, the first generating module 904 includes:

[0122] Establishing a submodule, for establishing a mapping relationship between the incident light and the outgoing light of the free-form surface according to the target light intensity distribution and the light intensity distribution of the light source;

[0123] The first generating submodule is used to generate a contour curve surface corresponding to the free-form surface according to the mapping relationship and based on the law of refraction.

[0124] Optionally, the establishing submodule includes:

[0125] A determination submodule, used to determine the outgoing light intensity distribution of the outgoing light of the free-form surface according to the target light intensity distribution;

[0126] A first construction submodule, configured to construct a first differential equation group of a mapping relationship between the incident light and the outgoing light of the free-form surface based on the law of conservation of energy according to the outgoing light intensity distribution and the light source light intensity distribution;

[0127] The first solving submodule is used to solve the first differential equation group to obtain the mapping relationship between the incident light and the outgoing light of the free-form surface.

[0128] Optionally, the optical element is a lens, wherein the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, and the light emitting surface of the lens is a plane;

[0129] The determination submodule is used to determine the light intensity distribution of the outgoing light of the free-form surface according to the target light intensity distribution based on the law of conservation of energy and the law of refraction.

[0130] Optionally, the first generating submodule includes:

[0131] A second construction submodule, configured to construct a second differential equation group of the curvature radius of the contour curve corresponding to the free-form surface according to the mapping relationship and based on the law of refraction;

[0132] A second solving submodule, used for solving the second differential equation group to obtain a curvature radius function of the contour curve;

[0133] The second generating submodule is used to generate the contour curve based on the curvature radius function.

[0134] Optionally, the light source of the incident light is actually a surface light source;

[0135] The device 900 further includes:

[0136] The trigger module is used to update the initial illumination distribution, and then trigger the second determination module 903 to determine the target light intensity distribution on the target surface of the optical element based on the initial illumination distribution until the illumination of the target surface meets the preset condition.

[0137] The present disclosure also provides a computer-readable medium having a computer program stored thereon, which, when executed by a processing device, implements the steps of the method for constructing the optical element provided by the present disclosure.

[0138] Reference below Fig.10 , which shows a schematic diagram of the structure of an electronic device (terminal device or server) 1000 suitable for implementing the embodiment of the present disclosure. The terminal device in the embodiment of the present disclosure may include but is not limited to mobile terminals such as mobile phones, notebook computers, digital broadcast receivers, PDAs (personal digital assistants), PADs (tablet computers), PMPs (portable multimedia players), vehicle-mounted terminals (such as vehicle-mounted navigation terminals), etc., and fixed terminals such as digital TVs, desktop computers, etc. Fig.10 The electronic device shown is only an example and should not bring any limitation to the functions and scope of use of the embodiments of the present disclosure.

[0139] like Fig.10 As shown, the electronic device 1000 may include a processing device (e.g., a central processing unit, a graphics processing unit, etc.) 1001, which can perform various appropriate actions and processes according to a program stored in a read-only memory (ROM) 1002 or a program loaded from a storage device 1008 into a random access memory (RAM) 1003. In the RAM 1003, various programs and data required for the operation of the electronic device 1000 are also stored. The processing device 1001, the ROM 1002, and the RAM 1003 are connected to each other via a bus 1004. An input / output (I / O) interface 1005 is also connected to the bus 1004.

[0140] Typically, the following devices may be connected to the I / O interface 1005: an input device 1006 including, for example, a touch screen, a touch pad, a keyboard, a mouse, a camera, a microphone, an accelerometer, a gyroscope, etc.; an output device 1007 including, for example, a liquid crystal display (LCD), a speaker, a vibrator, etc.; a storage device 1008 including, for example, a magnetic tape, a hard disk, etc.; and a communication device 1009. The communication device 1009 may allow the electronic device 1000 to communicate with other devices wirelessly or by wire to exchange data. Although Fig.10 The electronic device 1000 is shown with various devices, but it should be understood that it is not required to implement or possess all the devices shown. More or fewer devices may be implemented or possessed instead.

[0141] In particular, according to an embodiment of the present disclosure, the process described above with reference to the flowchart can be implemented as a computer software program. For example, an embodiment of the present disclosure includes a computer program product, which includes a computer program carried on a non-transitory computer-readable medium, and the computer program contains program code for executing the method shown in the flowchart. In such an embodiment, the computer program can be downloaded and installed from a network through a communication device 1009, or installed from a storage device 1008, or installed from a ROM 1002. When the computer program is executed by the processing device 1001, the above-mentioned functions defined in the method of the embodiment of the present disclosure are executed.

[0142] It should be noted that the computer-readable medium disclosed above may be a computer-readable signal medium or a computer-readable storage medium or any combination of the above two. The computer-readable storage medium may be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, device or device, or any combination of the above. More specific examples of computer-readable storage media may include, but are not limited to: an electrical connection with one or more wires, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above. In the present disclosure, a computer-readable storage medium may be any tangible medium containing or storing a program that may be used by or in combination with an instruction execution system, device or device. In the present disclosure, a computer-readable signal medium may include a data signal propagated in a baseband or as part of a carrier wave, in which a computer-readable program code is carried. This propagated data signal may take a variety of forms, including but not limited to an electromagnetic signal, an optical signal, or any suitable combination of the above. The computer readable signal medium may also be any computer readable medium other than a computer readable storage medium, which may send, propagate or transmit a program for use by or in conjunction with an instruction execution system, apparatus or device. The program code contained on the computer readable medium may be transmitted using any suitable medium, including but not limited to: wires, optical cables, RF (radio frequency), etc., or any suitable combination of the above.

[0143] In some embodiments, the client and the server may communicate using any currently known or future developed network protocol such as HTTP (HyperText Transfer Protocol), and may be interconnected with any form or medium of digital data communication (e.g., a communication network). Examples of communication networks include a local area network ("LAN"), a wide area network ("WAN"), an internet (e.g., the Internet), and a peer-to-peer network (e.g., an ad hoc peer-to-peer network), as well as any currently known or future developed network.

[0144] The computer-readable medium may be included in the electronic device, or may exist independently without being incorporated into the electronic device.

[0145] The above-mentioned computer-readable medium carries one or more programs. When the above-mentioned one or more programs are executed by the electronic device, the electronic device: determines the light source intensity distribution of the incident light, wherein it is assumed that the light source of the incident light is a point light source; obtains the initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant; based on the initial illumination distribution, determines the target light intensity distribution on the target surface; generates a contour curve corresponding to the free-form surface according to the target light intensity distribution and the light source intensity distribution; generates the free-form surface according to the contour curve.

[0146] Computer program code for performing the operations of the present disclosure may be written in one or more programming languages ​​or a combination thereof, including, but not limited to, object-oriented programming languages, such as Java, Smalltalk, C++, and conventional procedural programming languages, such as "C" or similar programming languages. The program code may be executed entirely on the user's computer, partially on the user's computer, as a separate software package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In cases involving a remote computer, the remote computer may be connected to the user's computer through any type of network, including a local area network (LAN) or a wide area network (WAN), or may be connected to an external computer (e.g., via the Internet using an Internet service provider).

[0147] The flow chart and block diagram in the accompanying drawings illustrate the possible architecture, function and operation of the system, method and computer program product according to various embodiments of the present disclosure. In this regard, each square box in the flow chart or block diagram can represent a module, a program segment or a part of a code, and the module, the program segment or a part of the code contains one or more executable instructions for realizing the specified logical function. It should also be noted that in some implementations as replacements, the functions marked in the square box can also occur in a sequence different from that marked in the accompanying drawings. For example, two square boxes represented in succession can actually be executed substantially in parallel, and they can sometimes be executed in the opposite order, depending on the functions involved. It should also be noted that each square box in the block diagram and / or flow chart, and the combination of the square boxes in the block diagram and / or flow chart can be implemented with a dedicated hardware-based system that performs a specified function or operation, or can be implemented with a combination of dedicated hardware and computer instructions.

[0148] The modules involved in the embodiments described in the present disclosure may be implemented by software or hardware. The name of the module does not limit the module itself in some cases. For example, the first determination module may also be described as a "module for determining the light source intensity distribution of the incident light."

[0149] The functions described above herein may be performed at least in part by one or more hardware logic components. For example, without limitation, exemplary types of hardware logic components that may be used include: field programmable gate arrays (FPGAs), application specific integrated circuits (ASICs), application specific standard products (ASSPs), systems on chips (SOCs), complex programmable logic devices (CPLDs), and the like.

[0150] In the context of the present disclosure, a machine-readable medium may be a tangible medium that may contain or store a program for use by or in conjunction with an instruction execution system, device, or equipment. A machine-readable medium may be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, device, or equipment, or any suitable combination of the foregoing. A more specific example of a machine-readable storage medium may include an electrical connection based on one or more lines, a portable computer disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.

[0151] According to one or more embodiments of the present disclosure, Example 1 provides an optical element for deflecting incident light to illuminate a target surface, wherein the optical element comprises a rotationally symmetric free-form surface, and the target light intensity distribution on the target surface is 1 / cos 3 φ is in direct proportion to the incident light, wherein φ is the pitch angle of the outgoing light after the incident light is deflected by the optical element.

[0152] According to one or more embodiments of the present disclosure, Example 2 provides the optical element of Example 1, wherein the optical element is a reflector or a lens.

[0153] According to one or more embodiments of the present disclosure, Example 3 provides the optical element of Example 1, wherein the optical element is a lens; wherein the light incident surface of the lens is a spherical surface, the light emitting surface of the lens is the free-form surface, and the free-form surface is a convex surface; or, the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, and the light emitting surface of the lens is a plane.

[0154] According to one or more embodiments of the present disclosure, Example 4 provides the optical element of Example 3, wherein the light incident surface of the lens is a spherical surface, the light exit surface of the lens is the free-form surface, and the free-form surface is a convex surface; the distance between the light exit surface and the target surface is in the range of 40 cm to 50 cm, the target surface is a circle with a radius in the range of 50 cm to 60 cm, and the maximum value of the pitch angle of the incident light is 90°.

[0155] According to one or more embodiments of the present disclosure, Example 5 provides the optical element of Example 3, wherein the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, and the light emitting surface of the lens is a plane; the distance between the light emitting surface and the target surface is in the range of 40 cm to 50 cm, the target surface is a circle with a radius in the range of 60 cm to 75 cm, the maximum value of the pitch angle of the incident light is 56°, and the material of the lens is PMMA.

[0156] According to one or more embodiments of the present disclosure, Example 6 provides a desk lamp, comprising a light source and an optical element, wherein the optical element is the optical element described in any one of Examples 1-5.

[0157] According to one or more embodiments of the present disclosure, Example 7 provides a method for constructing an optical element, wherein the optical element is the optical element described in any one of Examples 1-5; the method includes: determining the light source intensity distribution of the incident light, wherein it is assumed that the light source of the incident light is a point light source; obtaining the initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant; determining the target light intensity distribution on the target surface based on the initial illumination distribution; generating a contour curve corresponding to the free surface according to the target light intensity distribution and the light source intensity distribution; generating the free surface according to the contour curve.

[0158] According to one or more embodiments of the present disclosure, Example 8 provides the method of Example 7, which generates a contour curve corresponding to the free-form surface based on the target light intensity distribution and the light source light intensity distribution, including: establishing a mapping relationship between the incident light and the outgoing light of the free-form surface based on the target light intensity distribution and the light source light intensity distribution; and generating a contour curve surface corresponding to the free-form surface based on the law of refraction according to the mapping relationship.

[0159] According to one or more embodiments of the present disclosure, Example 9 provides the method of Example 8, which establishes a mapping relationship between the incident light and the outgoing light of the free-form surface based on the target light intensity distribution and the light source light intensity distribution, including: determining the outgoing light intensity distribution of the outgoing light of the free-form surface based on the target light intensity distribution; constructing a first set of differential equations for the mapping relationship between the incident light and the outgoing light of the free-form surface based on the law of conservation of energy according to the outgoing light intensity distribution and the light source light intensity distribution; and solving the first set of differential equations to obtain the mapping relationship between the incident light and the outgoing light of the free-form surface.

[0160] According to one or more embodiments of the present disclosure, Example 10 provides the method of Example 9, wherein the optical element is a lens, wherein the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, and the light emitting surface of the lens is a plane; determining the light intensity distribution of the outgoing light of the free-form surface according to the target light intensity distribution comprises: determining the light intensity distribution of the outgoing light of the free-form surface based on the law of conservation of energy and the law of refraction according to the target light intensity distribution.

[0161] According to one or more embodiments of the present disclosure, Example 11 provides the method of Example 8, which generates a contour curve surface corresponding to the free surface based on the law of refraction according to the mapping relationship, including: constructing a second set of differential equations for the curvature radius of the contour curve corresponding to the free surface based on the law of refraction according to the mapping relationship; solving the second set of differential equations to obtain a curvature radius function of the contour curve; and generating the contour curve based on the curvature radius function.

[0162] According to one or more embodiments of the present disclosure, Example 12 provides a method of any one of Examples 7 to 11, wherein the light source of the incident light is actually a surface light source; the method further includes: updating the initial illuminance distribution, and then returning to the step of determining the target light intensity distribution on the target surface of the optical element based on the initial illuminance distribution until the illuminance of the target surface meets a preset condition.

[0163] According to one or more embodiments of the present disclosure, Example 13 provides a device for constructing an optical element, wherein the optical element is an optical element according to any one of Examples 1-5; the device includes: a first determination module, used to determine the light source intensity distribution of the incident light, wherein it is assumed that the light source of the incident light is a point light source; an acquisition module, used to acquire the initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant; a second determination module, used to determine the target light intensity distribution on the target surface based on the initial illumination distribution acquired by the acquisition module; a first generation module, used to generate a contour curve corresponding to the free surface according to the target light intensity distribution determined by the second determination module and the light source intensity distribution determined by the first determination module; and a second generation module, used to generate the free surface according to the contour curve generated by the first generation module.

[0164] According to one or more embodiments of the present disclosure, Example 14 provides the device of Example 13, wherein the first generating module includes: an establishing submodule, used to establish a mapping relationship between the incident light and the outgoing light of the free-form surface according to the target light intensity distribution and the light source light intensity distribution; and a first generating submodule, used to generate a contour curve surface corresponding to the free-form surface based on the law of refraction according to the mapping relationship.

[0165] According to one or more embodiments of the present disclosure, Example 15 provides the device of Example 14, and the establishing submodule includes: a determining submodule, used to determine the outgoing light intensity distribution of the outgoing light of the free surface according to the target light intensity distribution; a first constructing submodule, used to construct a first differential equation group of the mapping relationship between the incident light and the outgoing light of the free surface based on the law of conservation of energy according to the outgoing light intensity distribution and the light source light intensity distribution; and a first solving submodule, used to solve the first differential equation group to obtain the mapping relationship between the incident light and the outgoing light of the free surface.

[0166] According to one or more embodiments of the present disclosure, Example 16 provides the device of Example 15, wherein the optical element is a lens, wherein the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, and the light emitting surface of the lens is a plane; the determination submodule is used to determine the light intensity distribution of the outgoing light from the free-form surface based on the law of conservation of energy and the law of refraction according to the target light intensity distribution.

[0167] According to one or more embodiments of the present disclosure, Example 17 provides the device of Example 14, wherein the first generating submodule includes: a second constructing submodule, for constructing a second set of differential equations of the curvature radius of the contour curve corresponding to the free surface based on the law of refraction according to the mapping relationship; a second solving submodule, for solving the second set of differential equations to obtain the curvature radius function of the contour curve; and a second generating submodule, for generating the contour curve based on the curvature radius function.

[0168] According to one or more embodiments of the present disclosure, Example 18 provides a device of any one of Examples 13 to 17, wherein the light source of the incident light is actually a surface light source; the device also includes: a trigger module for updating the initial illumination distribution, and then triggering the second determination module 903 to determine the target light intensity distribution on the target surface of the optical element based on the initial illumination distribution, until the illumination of the target surface meets a preset condition.

[0169] According to one or more embodiments of the present disclosure, Example 19 provides a computer-readable medium having a computer program stored thereon, which implements the steps of any of the methods described in Examples 7-12 when executed by a processing device.

[0170] According to one or more embodiments of the present disclosure, Example 20 provides an electronic device, including:

[0171] a storage device having one or more computer programs stored thereon;

[0172] One or more processing devices, used to execute the one or more computer programs in the storage device to implement the steps of any one of the methods described in Examples 7-12.

[0173] The above description is only a preferred embodiment of the present disclosure and an explanation of the technical principles used. Those skilled in the art should understand that the scope of disclosure involved in the present disclosure is not limited to the technical solutions formed by a specific combination of the above technical features, but should also cover other technical solutions formed by any combination of the above technical features or their equivalent features without departing from the above disclosed concept. For example, the above features are replaced with the technical features with similar functions disclosed in the present disclosure (but not limited to) by each other to form a technical solution.

[0174] In addition, although each operation is described in a specific order, this should not be understood as requiring these operations to be performed in the specific order shown or in a sequential order. Under certain circumstances, multitasking and parallel processing may be advantageous. Similarly, although some specific implementation details are included in the above discussion, these should not be interpreted as limiting the scope of the present disclosure. Some features described in the context of a separate embodiment can also be implemented in a single embodiment in combination. On the contrary, the various features described in the context of a single embodiment can also be implemented in multiple embodiments individually or in any suitable sub-combination mode.

[0175] Although the subject matter has been described in language specific to structural features and / or method logic actions, it should be understood that the subject matter defined in the appended claims is not necessarily limited to the specific features or actions described above. On the contrary, the specific features and actions described above are merely example forms of implementing the claims. Regarding the device in the above embodiment, the specific manner in which each module performs the operation has been described in detail in the embodiment related to the method, and will not be elaborated here.

Claims

1. A method for constructing an optical element, characterized in that: The optical element is used to deflect the incident light and then perform regional illumination on the target surface. The optical element includes a rotationally symmetrical free-form surface. The target light intensity distribution on the target surface is There is a positive proportional relationship, among which, is the pitch angle of the outgoing light after the incident light is deflected by the optical element; The optical element is a lens; Wherein, the light incident surface of the lens is a spherical surface, the light exit surface of the lens is the free-form surface, and the free-form surface is a convex surface, the distance between the light exit surface and the target surface is in the range of 40 cm to 50 cm, the target surface is a circle with a radius in the range of 50 cm to 60 cm, and the maximum value of the pitch angle of the incident light is 90°; or, the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, the light exit surface of the lens is a plane, the distance between the light exit surface and the target surface is in the range of 40 cm to 50 cm, the target surface is a circle with a radius in the range of 60 cm to 75 cm, the maximum value of the pitch angle of the incident light is 56°, and the material of the lens is PMMA; The method comprises: Determine the light intensity distribution of the light source of the incident light, wherein it is assumed that the light source of the incident light is a point light source; Acquire an initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant; Determining a target light intensity distribution on the target surface based on the initial illumination distribution; Establishing a mapping relationship between the incident light and the outgoing light of the free-form surface according to the target light intensity distribution and the light intensity distribution of the light source; According to the mapping relationship, a contour curve corresponding to the free-form surface is generated based on the law of refraction; generating the free-form surface according to the contour curve; Wherein, the light source of the incident light is actually a surface light source; The method further comprises: The initial illumination distribution is updated, and then the step of determining the target light intensity distribution on the target surface of the optical element based on the initial illumination distribution is returned until the illumination of the target surface meets a preset condition.

2. The method according to claim 1, characterized in that The step of establishing a mapping relationship between the incident light and the outgoing light of the free-form surface according to the target light intensity distribution and the light source light intensity distribution includes: Determining the outgoing light intensity distribution of the outgoing light of the free-form surface according to the target light intensity distribution; According to the emergent light intensity distribution and the light source light intensity distribution, constructing a first differential equation group of the mapping relationship between the incident light and the emergent light of the free-form surface based on the law of conservation of energy; The first differential equation group is solved to obtain a mapping relationship between the incident light and the outgoing light of the free-form surface.

3. The method according to claim 2, characterized in that The light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, and the light emitting surface of the lens is a plane; Determining the light intensity distribution of the outgoing light of the free-form surface according to the target light intensity distribution includes: According to the target light intensity distribution, the light intensity distribution of the outgoing light of the free-form surface is determined based on the law of conservation of energy and the law of refraction.

4. The method according to claim 1, characterized in that: Generating a contour curve corresponding to the free-form surface based on the mapping relationship and the law of refraction includes: According to the mapping relationship, constructing a second differential equation group of the curvature radius of the contour curve corresponding to the free-form surface based on the law of refraction; Solving the second differential equation group to obtain a curvature radius function of the contour curve; The contour curve is generated based on the curvature radius function.

5. A device for constructing an optical element, characterized in that: The optical element is used to deflect the incident light and then perform regional illumination on the target surface. The optical element includes a rotationally symmetrical free-form surface. The target light intensity distribution on the target surface is There is a positive proportional relationship, among which, is the pitch angle of the outgoing light after the incident light is deflected by the optical element; The optical element is a lens; Wherein, the light incident surface of the lens is a spherical surface, the light exit surface of the lens is the free-form surface, and the free-form surface is a convex surface, the distance between the light exit surface and the target surface is in the range of 40 cm to 50 cm, the target surface is a circle with a radius in the range of 50 cm to 60 cm, and the maximum value of the pitch angle of the incident light is 90°; or, the light incident surface of the lens is the free-form surface, and the free-form surface is a concave surface, the light exit surface of the lens is a plane, the distance between the light exit surface and the target surface is in the range of 40 cm to 50 cm, the target surface is a circle with a radius in the range of 60 cm to 75 cm, the maximum value of the pitch angle of the incident light is 56°, and the material of the lens is PMMA; The device comprises: A first determination module is used to determine the light source intensity distribution of the incident light, wherein it is assumed that the light source of the incident light is a point light source; An acquisition module, used for acquiring an initial illumination distribution of the target surface, wherein the initial illumination distribution is a constant; A second determining module, configured to determine a target light intensity distribution on the target surface based on the initial illumination distribution acquired by the acquiring module; A first generating module, configured to generate a contour curve corresponding to the free-form surface according to the target light intensity distribution determined by the second determining module and the light source light intensity distribution determined by the first determining module; A second generating module, used for generating the free-form surface according to the contour curve generated by the first generating module; Wherein, the light source of the incident light is actually a surface light source; The device also includes: a trigger module, configured to update the initial illumination distribution, and then trigger the second determination module to determine the target light intensity distribution on the target surface of the optical element based on the initial illumination distribution, until the illumination of the target surface meets a preset condition; Wherein, the first generation module includes: Establishing a submodule, for establishing a mapping relationship between the incident light and the outgoing light of the free-form surface according to the target light intensity distribution and the light intensity distribution of the light source; The first generating submodule is used to generate a contour curve corresponding to the free-form surface according to the mapping relationship and based on the law of refraction.

6. A computer readable medium having a computer program stored thereon, characterized in that: When the program is executed by a processing device, the steps of the method described in any one of claims 1 to 4 are implemented.

7. An electronic device, characterized in that: include: a storage device having one or more computer programs stored thereon; One or more processing devices, configured to execute the one or more computer programs in the storage device to implement the steps of the method according to any one of claims 1 to 4.

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