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CN102679265B - Method for realizing light beam dodging control by utilizing free-form surface lens - Google Patents

Method for realizing light beam dodging control by utilizing free-form surface lens Download PDF

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CN102679265B
CN102679265B CN201110064252.7A CN201110064252A CN102679265B CN 102679265 B CN102679265 B CN 102679265B CN 201110064252 A CN201110064252 A CN 201110064252A CN 102679265 B CN102679265 B CN 102679265B
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CN102679265A (en
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谢常青
辛将
朱效立
刘明
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Institute of Microelectronics of CAS
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Abstract

本发明公开了一种利用自由曲面透镜实现光束匀光控制的方法,包括:步骤1:确定需要进行匀光控制的光源的光分布形式;步骤2:确定实现匀光控制区域的位置信息;步骤3:确定透镜材料;步骤4:基于能量守恒定律,将匀光控制区域划分成若干子区域;步骤5:建立步骤4中任一子区域与光源出射角的一一对应关系;步骤6:基于折射定律和步骤4、5的对应关系求解自由曲面透镜的面型。本发明实现了对任意光源的光束匀光控制,经过该自由曲面透镜后的光束呈现出任意形状的均匀的光斑。

Figure 201110064252

The invention discloses a method for realizing light uniformity control of a beam by using a free-form surface lens, comprising: step 1: determining the light distribution form of a light source that requires uniform light control; step 2: determining the position information of the area for realizing uniform light control; 3: Determine the lens material; Step 4: Based on the law of energy conservation, divide the uniform light control area into several sub-areas; Step 5: Establish a one-to-one correspondence between any sub-area in Step 4 and the exit angle of the light source; Step 6: Based on The law of refraction and the corresponding relationship of steps 4 and 5 solve the surface shape of the free-form surface lens. The invention realizes uniform light control of light beams for arbitrary light sources, and the light beams passing through the free-form surface lens present uniform light spots of arbitrary shapes.

Figure 201110064252

Description

一种利用自由曲面透镜实现光束匀光控制的方法A Method of Using Freeform Surface Lens to Realize Beam Homogenization Control

技术领域 technical field

本发明涉及应用光学技术领域,特别涉及一种利用自由曲面透镜实现光束匀光控制的方法。The invention relates to the technical field of applied optics, in particular to a method for realizing beam uniformity control by using a free-form surface lens.

背景技术 Background technique

目前多数光源发生装置出射的光源都是非均匀的,例如激光器输出的光满足高斯分布,LED输出的光满足朗伯分布等,但是在很多场合都需要一种均匀度较好的光源,或者是将光源出射的光控制在一个所需的特定形状的区域,这就需要对光源进行匀光控制,以使其满足实际的需要。At present, the light sources emitted by most light source generating devices are non-uniform. For example, the light output by a laser satisfies a Gaussian distribution, and the light output by an LED satisfies a Lambertian distribution. However, a light source with better uniformity is required in many occasions, or a The light emitted by the light source is controlled in a required specific shape area, which requires uniform light control on the light source to meet the actual needs.

目前应用于匀光控制的方法有以下几种:(1)微透镜匀光阵列。这种方法主要是由一系列正交分布排列的具有特定面型的微小透镜组成一个阵列,光束通过这个阵列以后,出射的光可以相互迭加从而产生匀光的效果。这种方法对透镜的加工制作水平有较高的要求,并且结构复杂,成本高。(2)复杂透镜系统。利用一系列透镜的组合来形成匀光的效果。该方法匀光效果较好,但是结构复杂,成本高昂。At present, there are the following methods for uniform light control: (1) microlens uniform light array. This method is mainly composed of a series of orthogonally distributed tiny lenses with a specific surface shape to form an array. After the beam passes through the array, the emitted light can be superimposed on each other to produce a uniform light effect. This method has high requirements on the processing and manufacturing level of the lens, and the structure is complex and the cost is high. (2) Complex lens system. A combination of a series of lenses is used to form a uniform light effect. This method has a better uniform light effect, but the structure is complicated and the cost is high.

另外,以上几种方法都无法将光源发出的光束控制在一个特定形状的区域内。鉴于以上几点,本发明提出了一种新型的基于自由曲面透镜的匀光控制设计方法。In addition, none of the above methods can control the light beam emitted by the light source within a specific shaped area. In view of the above points, the present invention proposes a new design method for light uniformity control based on a free-form surface lens.

发明内容 Contents of the invention

(一)要解决的技术问题(1) Technical problems to be solved

本发明要解决的技术问题是:克服现有匀光系统的复杂性和无法对光束进行控制的问题,提供一种新型的基于自由曲面透镜的匀光控制设计方法,只利用一个透镜,实现了对任意光源的匀光,光并使得出射光斑为任意所需的形状。The technical problem to be solved by the present invention is: to overcome the complexity of the existing uniform light system and the problem that the light beam cannot be controlled, and to provide a new design method for uniform light control based on a free-form surface lens, which only uses one lens to realize Uniform light for any light source, light and make the exit spot any desired shape.

(二)技术方案(2) Technical solutions

为达到上述目的,本发明提供了一种利用自由曲面透镜实现光束匀光控制的方法,该方法包括:In order to achieve the above object, the present invention provides a method of utilizing a free-form surface lens to realize beam uniformity control, the method comprising:

步骤1:根据提供的光源资料,确定光源的光分布函数

Figure BDA0000050676890000021
Step 1: According to the provided light source information, determine the light distribution function of the light source
Figure BDA0000050676890000021

步骤2:根据具体需要确定目标照明区域的形状和位置,其中该目标照明区域的形状为矩形;Step 2: Determine the shape and position of the target lighting area according to specific needs, wherein the shape of the target lighting area is a rectangle;

步骤3:根据透镜材料,确定透镜材料的折射率n;Step 3: Determine the refractive index n of the lens material according to the lens material;

步骤4:将矩形区域划分成若干过矩形中心的子区域,每个子区域对应的网格长度满足公式

Figure BDA0000050676890000022
其中
Figure BDA0000050676890000023
为过矩形中心的线段与矩形的长边a所成的角,即
Figure BDA0000050676890000024
Step 4: Divide the rectangular area into several sub-areas passing through the center of the rectangle, and the grid length corresponding to each sub-area satisfies the formula
Figure BDA0000050676890000022
in
Figure BDA0000050676890000023
is the angle formed by the line segment passing through the center of the rectangle and the long side a of the rectangle, that is
Figure BDA0000050676890000024

步骤5:根据能量守恒定律,建立步骤4获得区域网格

Figure BDA0000050676890000025
上任一点
Figure BDA0000050676890000026
与光源出射角θ的一一对应关系,其关系如公式∫I(θ)dθ=∫Adρ,其中ρ为点
Figure BDA0000050676890000027
与矩形中心的距离,A为目标区域的平均光强值;Step 5: According to the law of energy conservation, establish step 4 to obtain the regional grid
Figure BDA0000050676890000025
Take office a little
Figure BDA0000050676890000026
One-to-one correspondence with the light source exit angle θ, the relationship is as in the formula ∫I(θ)dθ=∫Adρ, where ρ is a point
Figure BDA0000050676890000027
The distance from the center of the rectangle, A is the average light intensity value of the target area;

步骤6:根据步骤4中公式和步骤5中公式获得的

Figure BDA0000050676890000028
与目标矩形区域上任一点
Figure BDA0000050676890000029
的对应关系,根据折射定律对曲面面型进行求解;透镜前表面为平面,使光线正入射进入透镜,减少反射损耗;后表面每一网格上的点的法线满足关系公式
Figure BDA00000506768900000210
其中
Figure BDA00000506768900000211
Figure BDA00000506768900000212
为自由曲面透镜上某一网格的法线与光源的θ和方向的夹角,
Figure BDA00000506768900000214
为目标区域上某一网格的法线与光源的θ和
Figure BDA00000506768900000215
方向的夹角,
Figure BDA00000506768900000216
为光源发出的该条光线在θ和
Figure BDA00000506768900000217
方向上的夹角,n为透镜的折射率。Step 6: Obtained according to the formula in step 4 and the formula in step 5
Figure BDA0000050676890000028
and any point on the target rectangular area
Figure BDA0000050676890000029
According to the law of refraction, the surface type is solved; the front surface of the lens is a plane, so that the light is incident on the lens and reduces the reflection loss; the normal of each point on the rear surface satisfies the relational formula
Figure BDA00000506768900000210
in
Figure BDA00000506768900000211
Figure BDA00000506768900000212
is the normal of a grid on the free-form surface lens and the θ sum of the light source angle of direction,
Figure BDA00000506768900000214
is the normal of a mesh on the target area and the θ sum of the light source
Figure BDA00000506768900000215
angle of direction,
Figure BDA00000506768900000216
The ray emitted by the light source is at θ and
Figure BDA00000506768900000217
The included angle in the direction, n is the refractive index of the lens.

上述方案中,步骤1中所述的光源分布函数

Figure BDA00000506768900000218
是旋转对称的。In the above scheme, the light source distribution function described in step 1
Figure BDA00000506768900000218
is rotationally symmetric.

上述方案中,步骤2中所述矩形的长和宽分别为a和b,光源位于矩形中心前方h处。In the above solution, the length and width of the rectangle in step 2 are a and b respectively, and the light source is located at h in front of the center of the rectangle.

上述方案中,步骤3中所述的透镜材料为透光材料PMMA或玻璃。In the above scheme, the lens material described in step 3 is light-transmitting material PMMA or glass.

上述方案中,步骤4中所述的网格过矩形中心,长度

Figure BDA00000506768900000219
满足公式
Figure BDA00000506768900000220
In the above scheme, the grid described in step 4 passes through the center of the rectangle, and the length
Figure BDA00000506768900000219
satisfy the formula
Figure BDA00000506768900000220

上述方案中,步骤5中所述的点

Figure BDA0000050676890000031
与光源出射角θ满足公式In the above scheme, the points described in step 5
Figure BDA0000050676890000031
and light source exit angle θ satisfy the formula

∫I(θ)dθ=∫Adρ。∫I(θ)dθ=∫Adρ.

上述方案中,步骤6中所述的自由曲面透镜的前表面为平面,后表面每个网格的法向量满足公式 In the above scheme, the front surface of the free-form surface lens described in step 6 is a plane, and the normal vector of each grid on the back surface satisfies the formula

(三)有益效果(3) Beneficial effects

本发明与现有技术相比的优点在于:The advantage of the present invention compared with prior art is:

(1)本发明采用单个透镜的设计方法来实现匀光控制,结构简单,加工容易,成本低。(1) The present invention adopts the design method of a single lens to realize uniform light control, and has simple structure, easy processing and low cost.

(2)本发明采用自由曲面透镜设计方法,利用能量守恒定律建立了目标区域内的点与光源出射角的一一对应关系,从而使得对于任意光强度分布的光源,目标区域内的光强分布都具有很好的均匀性。(2) The present invention adopts the free-form surface lens design method, utilizes the law of energy conservation to establish a one-to-one correspondence between points in the target area and the light source exit angles, so that for a light source with any light intensity distribution, the light intensity distribution in the target area All have good uniformity.

(3)本发明实现了将任意光源控制在任意形状的目标区域内,很好的实现了对光分布的限制作用。(3) The present invention realizes the control of any light source in a target area of any shape, and well realizes the restriction effect on light distribution.

附图说明 Description of drawings

图1为依照本发明提供的自由曲面透镜的结构示意图,1为所设计的后表面,2为前表面;Fig. 1 is a schematic structural view of a free-form surface lens provided according to the present invention, 1 is the designed rear surface, and 2 is the front surface;

图2为图1所示自由曲面透镜后表面的正视图;Fig. 2 is the front view of the rear surface of the free-form surface lens shown in Fig. 1;

图3为图1所示自由曲面透镜后表面的侧视图;Fig. 3 is a side view of the rear surface of the free-form surface lens shown in Fig. 1;

图4为光源与目标区域对应关系;Figure 4 shows the corresponding relationship between the light source and the target area;

图5为加自由曲面透镜前,光源的出射光斑;Figure 5 is the exit spot of the light source before adding a free-form surface lens;

图6为加自由曲面透镜后,得到的矩形光斑。Figure 6 shows the rectangular spot obtained after adding a free-form surface lens.

具体实施方式 Detailed ways

为使本发明的目的、技术方案和优点更加清楚明白,以下结合具体实施例,并参照附图,对本发明进一步详细说明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be described in further detail below in conjunction with specific embodiments and with reference to the accompanying drawings.

一种利用自由曲面透镜实现光束匀光控制的方法,该方法包括以下步骤:A method for realizing beam uniformity control by using a free-form surface lens, the method comprising the following steps:

步骤1:根据提供的光源资料,确定光源的光分布函数满足高斯分布,直径10mm;Step 1: According to the provided light source information, determine that the light distribution function of the light source satisfies the Gaussian distribution, with a diameter of 10mm;

步骤2:根据需要确定目标匀光区域。本例为矩形,长a=30mm,宽b=16mm,光源离目标区域的距离h=10mm;Step 2: Determine the target dodging area as needed. This example is a rectangle with length a=30mm, width b=16mm, and the distance between the light source and the target area h=10mm;

步骤3:选择透镜材料为PMMA,该材料的折射率n=1.49;Step 3: select the lens material as PMMA, and the refractive index of this material is n=1.49;

步骤4:将矩形照明区域划分成若干过矩形中心的网格,网格线段长度满足公式1,即其中为过矩形中心的线段与矩形的长边a所成的角,即

Figure BDA0000050676890000043
本例中
Figure BDA0000050676890000044
Step 4: Divide the rectangular lighting area into several grids passing through the center of the rectangle, and the length of the grid line segment satisfies formula 1, namely in is the angle formed by the line segment passing through the center of the rectangle and the long side a of the rectangle, that is
Figure BDA0000050676890000043
In this example
Figure BDA0000050676890000044

步骤5:按公式∫I(θ)dθ=∫Adρ建立线段上任一点

Figure BDA0000050676890000046
与光源出射角
Figure BDA0000050676890000047
的一一对应关系(如图4);其中ρ为点与矩形中心的距离,A为目标区域的平均光强值;Step 5: Create a line segment according to the formula ∫I(θ)dθ=∫Adρ Take office a little
Figure BDA0000050676890000046
and light source exit angle
Figure BDA0000050676890000047
One-to-one correspondence (as shown in Figure 4); where ρ is a point The distance from the center of the rectangle, A is the average light intensity value of the target area;

步骤6:将步骤5获得的关系代入公式(3),即

Figure BDA00000506768900000410
其中
Figure BDA00000506768900000411
为自由曲面透镜上某一网格的法线与光源的θ和
Figure BDA00000506768900000412
方向的夹角,
Figure BDA00000506768900000413
为目标区域上某一网格的法线与光源的θ和
Figure BDA00000506768900000414
方向的夹角,
Figure BDA00000506768900000415
为光源发出的该条光线在θ和
Figure BDA00000506768900000416
方向上的夹角,n为透镜的折射率,求解出配光曲面在不同θ,
Figure BDA00000506768900000417
方向的法线,进而求解曲面上每个网格的坐标数据,最后生成透镜实体。得到的透镜后表面的面形如图1中1和图3所示,透镜前表面为平面,如图1中2和图2所示,光线在前表面正入射进入透镜,减少反射损耗。Step 6: Substitute the relationship obtained in step 5 into formula (3), namely
Figure BDA00000506768900000410
in
Figure BDA00000506768900000411
is the normal of a grid on the free-form surface lens and the θ sum of the light source
Figure BDA00000506768900000412
angle of direction,
Figure BDA00000506768900000413
is the normal of a mesh on the target area and the θ sum of the light source
Figure BDA00000506768900000414
angle of direction,
Figure BDA00000506768900000415
The ray emitted by the light source is at θ and
Figure BDA00000506768900000416
The included angle in the direction, n is the refractive index of the lens, and the light distribution surface is solved at different θ,
Figure BDA00000506768900000417
The normal of the direction, and then solve the coordinate data of each mesh on the surface, and finally generate the lens entity. The surface shape of the rear surface of the obtained lens is shown in Figure 1 and Figure 3, and the front surface of the lens is a plane, as shown in Figure 1 and Figure 2, and the light is incident on the front surface and enters the lens to reduce reflection loss.

步骤7:对步骤6得到的透镜与步骤1的光源进行仿真,得到光斑形状如图6所示,而没加透镜前光源的光斑形状为高斯分布的圆形(如图5),可以看出,按本发明设计的自由曲面透镜可以得到矩形光斑,且光照度在矩形区域内均匀分布。Step 7: Simulate the lens obtained in step 6 and the light source in step 1, and the spot shape obtained is shown in Figure 6, while the spot shape of the light source without the lens is Gaussian distribution circle (Figure 5), it can be seen that , the free-form surface lens designed according to the present invention can obtain a rectangular spot, and the illuminance is evenly distributed in the rectangular area.

以上所述的具体实施例,对本发明的目的、技术方案和有益效果进行了进一步详细说明,所应理解的是,以上所述仅为本发明的具体实施例而已,并不用于限制本发明,凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The specific embodiments described above have further described the purpose, technical solutions and beneficial effects of the present invention in detail. It should be understood that the above descriptions are only specific embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims (7)

1. utilize free-form surface lens to realize a method for the even photocontrol of light beam, it is characterized in that, the method comprises:
Step 1: according to the light source data providing, determine the light distribution function of light source θ and
Figure FDA0000436321280000012
for point
Figure FDA0000436321280000013
solid angle;
Step 2: determine according to specific needs shape and the position in target illumination region, wherein this target illumination region is shaped as rectangle;
Step 3: according to lens material, determine the refractive index n of lens material;
Step 4: rectangular area is divided into some subregions of crossing rectangular centre, and Gridding length corresponding to every sub regions meets formula
Figure FDA0000436321280000014
wherein, the length that a and b are rectangle and wide,
Figure FDA0000436321280000015
Step 5: according to law of conservation of energy, establishment step 4 obtains area grid
Figure FDA0000436321280000016
upper any point with the one-to-one relationship of light source angle of emergence θ, its relation is as formula
Figure FDA0000436321280000018
wherein ρ is a little
Figure FDA0000436321280000019
with the distance of rectangular centre, the average intensity value that A is target area;
Step 6: obtain according to formula in formula and step 5 in step 4
Figure FDA00004363212800000110
with any point on target rectangle region
Figure FDA00004363212800000111
corresponding relation, according to the law of refraction, curved surface face type is solved; Lens front surface is plane, makes light normal incidence enter lens, reduces reflection loss; The normal of the point on each grid of rear surface meets relation formula
Figure FDA00004363212800000112
wherein
Figure FDA00004363212800000113
Figure FDA00004363212800000114
for the normal of a certain grid on free-form surface lens and the θ of light source and the angle of direction,
Figure FDA00004363212800000116
for the normal of a certain grid on target area and the θ of light source and
Figure FDA00004363212800000117
the angle of direction,
Figure FDA00004363212800000118
this light sending for light source at θ and
Figure FDA00004363212800000119
angle in direction, the refractive index that n is lens.
2. the method for utilizing free-form surface lens to realize the even photocontrol of light beam according to claim 1, is characterized in that, the distribution of light sources function described in step 1
Figure FDA00004363212800000120
rotational symmetric.
3. the method for utilizing free-form surface lens to realize the even photocontrol of light beam according to claim 1, is characterized in that, the length of rectangle described in step 2 and wide a and the b of being respectively, and light source is positioned at h place, rectangular centre the place ahead.
4. the method for utilizing free-form surface lens to realize the even photocontrol of light beam according to claim 1, is characterized in that, the lens material described in step 3 is light transmissive material PMMA or glass.
5. the method for utilizing free-form surface lens to realize the even photocontrol of light beam according to claim 1, is characterized in that, the grid described in step 4 is crossed rectangular centre, length
Figure FDA0000436321280000021
meet formula
Figure FDA0000436321280000022
6. the method for utilizing free-form surface lens to realize the even photocontrol of light beam according to claim 1, is characterized in that, the point described in step 5
Figure FDA0000436321280000023
θ meets formula with the light source angle of emergence
7. the method for utilizing free-form surface lens to realize the even photocontrol of light beam according to claim 1, is characterized in that, the front surface of the free-form surface lens described in step 6 is plane, and the normal vector of each grid of rear surface meets formula
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