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CN102679266A - Implementation method of LED secondary light distribution lens with uniformly distributed rectangular light spots - Google Patents

Implementation method of LED secondary light distribution lens with uniformly distributed rectangular light spots Download PDF

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CN102679266A
CN102679266A CN2011100644749A CN201110064474A CN102679266A CN 102679266 A CN102679266 A CN 102679266A CN 2011100644749 A CN2011100644749 A CN 2011100644749A CN 201110064474 A CN201110064474 A CN 201110064474A CN 102679266 A CN102679266 A CN 102679266A
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lens
light distribution
led
rectangular
light
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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

本发明公开了一种呈矩形光斑均匀分布的LED二次配光透镜的实现方法,包括:确定需要进行配光设计的LED光源的光分布;确定照明的矩形区域和光源离照明区域的距离;确定透镜材料;将矩形区域划分成若干过矩形中心的线段;基于能量守恒定律,建立获得线段上任一点与光源出射角的一一对应关系;基于折射定律和该对应关系求解配光透镜的配光曲面。本发明实现了LED的二次配光,配光后光斑呈矩形,光分布均匀。

The invention discloses a method for realizing an LED secondary light distribution lens with uniform distribution of rectangular light spots, which includes: determining the light distribution of an LED light source that needs to be designed for light distribution; determining the rectangular area of illumination and the distance between the light source and the illumination area; Determine the lens material; divide the rectangular area into several line segments passing through the center of the rectangle; establish a one-to-one correspondence between any point on the line segment and the exit angle of the light source based on the law of energy conservation; solve the light distribution of the light distribution lens based on the law of refraction and the corresponding relationship surface. The invention realizes the secondary light distribution of the LED, the light spot is rectangular after the light distribution, and the light distribution is uniform.

Description

呈矩形光斑均匀分布的LED二次配光透镜的实现方法Realization method of LED secondary light distribution lens with uniform distribution of rectangular light spots

技术领域 technical field

本发明应用光学技术领域,特别涉及一种呈矩形光斑均匀分布的LED二次配光透镜的实现方法。The present invention is applied to the field of optical technology, and in particular relates to a method for realizing an LED secondary light distribution lens with evenly distributed rectangular light spots.

背景技术 Background technique

随着低碳节能、绿色环保的发展趋势,发光二极管(LED)以其低能耗、高发光效率和寿命长等诸多优点,得到了越来越广泛的关注。LED作为一种新型的光源,被越来越多地应用在各类照明系统中。然而,LED灯离普通照明还存在急需解决的问题。由于LED灯的体积小,使其发光面积小,方向性强,因此照射面积有限,需要对其进行二次配光,以满足实际的需要。With the development trend of low-carbon energy-saving and green environmental protection, light-emitting diodes (LEDs) have attracted more and more attention due to their advantages of low energy consumption, high luminous efficiency and long life. As a new type of light source, LED is increasingly used in various lighting systems. However, LED lamps still have problems that need to be solved urgently. Due to the small size of the LED lamp, its light-emitting area is small and its directionality is strong, so the irradiation area is limited, and it needs to be distributed twice to meet the actual needs.

目前应用于配光的方法有两种:反射式配光和折射式配光。反射式配光利用全反射原理,使配光透镜侧面成为全反射面,将照射到该侧面的光全部反射回透镜,从而减小侧面光能量的损失,提高光能利用率。然而,LED灯的方向性单一,主要光能集中在中间部分,只对侧面进行设计,不能使集中在中间部分的绝大部分光能均匀分布到目标照明区域,从而不能满足均匀性的要求。There are two methods currently used in light distribution: reflective light distribution and refraction light distribution. The reflective light distribution uses the principle of total reflection, so that the side of the light distribution lens becomes a total reflection surface, and all the light irradiated on the side is reflected back to the lens, thereby reducing the loss of side light energy and improving the utilization rate of light energy. However, the directionality of LED lights is single, the main light energy is concentrated in the middle part, and only the side is designed, so that most of the light energy concentrated in the middle part cannot be evenly distributed to the target lighting area, thus failing to meet the uniformity requirements.

折射式配光则采用透镜折射原理,可以有效地将集中在中间部分的光能分散到目标照明区域。目前折射式配光的实现方法主要有两种:二维设计和三维设计。二维设计是将二次配光透镜的前表面和后表面在正交的两个方向分开设计,然后进行叠加,这样的方法虽然容易实现,但只针对了两条正交线来设计,其他绝大部分位置误差较大,整个透镜的均匀性较差。Refractive light distribution adopts the principle of lens refraction, which can effectively disperse the light energy concentrated in the middle part to the target lighting area. At present, there are two main methods for realizing refractive light distribution: two-dimensional design and three-dimensional design. The two-dimensional design is to design the front surface and the rear surface of the secondary light distribution lens separately in two orthogonal directions, and then superimpose them. Although this method is easy to implement, it is only designed for two orthogonal lines. Others Most of the position errors are large, and the uniformity of the entire lens is poor.

传统三维设计则需要建立整个折射曲面与目标照明区域的一一对应关系,进行逐点设计,通过该方法得到的透镜均匀性较好,但设计过程比较复杂,不易实现。The traditional three-dimensional design needs to establish a one-to-one correspondence between the entire refraction surface and the target lighting area, and carry out point-by-point design. The lens obtained by this method has better uniformity, but the design process is complicated and difficult to realize.

发明内容 Contents of the invention

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

有鉴于此,本发明要解决的技术问题是:克服现有二维设计的不足和三维设计的复杂性,提供一种呈矩形光斑均匀分布的LED二次配光透镜的实现方法,将透镜曲面的三维设计分解成若干个二维设计,实现了LED灯的二次配光,光斑呈矩形,且整个矩形区域的光分布均匀。In view of this, the technical problem to be solved by the present invention is: to overcome the shortcomings of the existing two-dimensional design and the complexity of the three-dimensional design, to provide a method for realizing the LED secondary light distribution lens with uniform distribution of rectangular light spots, and to make the curved surface of the lens The three-dimensional design is decomposed into several two-dimensional designs, which realizes the secondary light distribution of LED lights. The light spot is rectangular, and the light distribution in the entire rectangular area is uniform.

(二)技术方案(2) Technical solution

为达到上述目的,本发明提供了一种呈矩形光斑均匀分布的LED二次配光透镜的实现方法,包括:In order to achieve the above object, the present invention provides a method for realizing an LED secondary light distribution lens with evenly distributed rectangular light spots, including:

步骤1:根据提供的LED光源资料,确定LED光源的光分布函数I(θ);Step 1: According to the provided LED light source information, determine the light distribution function I(θ) of the LED light source;

步骤2:根据具体需要确定矩形目标照明区域的长a,宽b,光源离照明区域的距离h;Step 2: Determine the length a, width b, and the distance h between the light source and the lighting area of the rectangular target lighting area according to specific needs;

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:将矩形目标照明区域划分成若干过矩形中心的线段,线段长度满足公式

Figure BDA0000050675490000021
其中
Figure BDA0000050675490000022
为过矩形中心的线段与矩形的长边a所成的角,
Figure BDA0000050675490000023
Step 4: Divide the rectangular target lighting area into several line segments passing through the center of the rectangle, and the length of the line segments satisfies the formula
Figure BDA0000050675490000021
in
Figure BDA0000050675490000022
is the angle formed by the line segment passing through the center of the rectangle and the long side a of the rectangle,
Figure BDA0000050675490000023

步骤5:根据能量守恒定律,建立步骤4获得线段

Figure BDA0000050675490000024
上任一点
Figure BDA0000050675490000025
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 BDA0000050675490000026
与矩形中心的距离,A为目标照明区域的平均照度值;Step 5: According to the law of conservation of energy, establish step 4 to obtain the line segment
Figure BDA0000050675490000024
Take office a little
Figure BDA0000050675490000025
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 BDA0000050675490000026
The distance from the center of the rectangle, A is the average illuminance value of the target lighting area;

步骤6:根据步骤4中公式和步骤5中公式获得的与目标照明矩形上任一点

Figure BDA0000050675490000028
的对应关系,以及折射定律和几何关系,对配光曲面进行求解;透镜前表面为球面,使光线正入射进入透镜,减少反射损耗;后表面满足关系公式nsin(β+α)=sin(β+θout),其中tanβ为
Figure BDA0000050675490000029
方向上的曲线在
Figure BDA00000506754900000210
方向的斜率,θout为后表面出射光线在
Figure BDA00000506754900000211
方向的出射角。Step 6: Obtained according to the formula in step 4 and the formula in step 5 Any point on the lighting rectangle with the target
Figure BDA0000050675490000028
The corresponding relationship, as well as the law of refraction and geometric relationship, solve the light distribution surface; the front surface of the lens is a spherical surface, so that the light is incident on the lens and reduces the reflection loss; the rear surface satisfies the relational formula nsin(β+α)=sin(β +θ out ), where tanβ is
Figure BDA0000050675490000029
The curve in the direction of
Figure BDA00000506754900000210
The slope of the direction, θ out is the exit ray of the rear surface at
Figure BDA00000506754900000211
The direction of the exit angle.

上述方案中,步骤1中所述的LED光源分布函数I(θ)是旋转对称的。In the above solution, the LED light source distribution function I(θ) described in step 1 is rotationally symmetric.

上述方案中,步骤2中所述的矩形目标照明区域的形状为平面矩形,LED光源位于该平面矩形中心上方h处。In the above solution, the shape of the rectangular target lighting area described in step 2 is a plane rectangle, and the LED light source is located at h above the center of the plane 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中所述的线段

Figure BDA0000050675490000031
过矩形中心,线段长度满足公式
Figure BDA0000050675490000032
In the above scheme, the line segment described in step 4
Figure BDA0000050675490000031
Through the center of the rectangle, the length of the line segment satisfies the formula
Figure BDA0000050675490000032

上述方案中,步骤5中所述的目标照明区域上任一点

Figure BDA0000050675490000033
与光源出射角θ满足公式∫I(θ)dθ=∫Adρ。In the above scheme, any point on the target lighting area described in step 5
Figure BDA0000050675490000033
and the light source exit angle θ satisfy the formula ∫I(θ)dθ=∫Adρ.

上述方案中,步骤6中所述的二次配光透镜的前表面为球面,后表面满足公式nsin(β+α)=sin(β+θout)。In the above solution, the front surface of the secondary light distribution lens described in step 6 is a spherical surface, and the rear surface satisfies the formula nsin(β+α)=sin(β+θ out ).

(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、本发明采用折射式配光透镜实现方法,利用能量守恒定律建立了目标照明矩形区域内的点与LED光源出射角的一一对应关系,从而使照明区域内的光强分布具有很好的均匀性。1. The present invention adopts the realization method of refraction light distribution lens, and uses the law of energy conservation to establish a one-to-one correspondence between the points in the target lighting rectangular area and the outgoing angle of the LED light source, so that the light intensity distribution in the lighting area has a good Uniformity.

2、本发明客服了目前的二维设计中误差较大的缺点,使只有两个正交方向的二维设计变成了对整个透镜曲面的多方向的二维设计,解决了正交二维设计中的设计误差。2. The present invention overcomes the shortcomings of large errors in the current two-dimensional design, and makes the two-dimensional design with only two orthogonal directions become a multi-directional two-dimensional design for the entire lens surface, solving the problem of orthogonal two-dimensional design. Design error in design.

3、本发明与传统三维配光设计相比,将三维曲面分解成了多条二维曲线,大大降低了设计难度,同时能获得与传统三维配光设计相同的均匀性。3. Compared with the traditional three-dimensional light distribution design, the present invention decomposes the three-dimensional curved surface into multiple two-dimensional curves, which greatly reduces the design difficulty, and at the same time can obtain the same uniformity as the traditional three-dimensional light distribution design.

附图说明 Description of drawings

图1为依照本发明实现的LED二次配光透镜的结构示意图,其中1为所设计的后表面,2为球形的前表面,3为LED光源所在位置;Fig. 1 is the schematic structural diagram of the LED secondary light distribution lens realized according to the present invention, wherein 1 is the designed back surface, 2 is the spherical front surface, and 3 is the position of the LED light source;

图2为依照本发明实现的LED二次配光透镜中球形前表面的正视图;Fig. 2 is the front view of the spherical front surface in the LED secondary light distribution lens realized according to the present invention;

图3为依照本发明实现的LED二次配光透镜中球形后表面的正视图;Fig. 3 is the front view of the spherical rear surface in the LED secondary light distribution lens realized according to the present invention;

图4为加二次配光透镜前,LED光源的圆形光斑;Figure 4 is the circular light spot of the LED light source before the secondary light distribution lens is added;

图5为加二次配光透镜后,得到的矩形光斑。Figure 5 shows the rectangular light spot obtained after adding a secondary light distribution 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.

本发明提供的这种呈矩形光斑均匀分布的LED二次配光透镜的实现方法,包括如下步骤:The implementation method of the LED secondary light distribution lens with evenly distributed rectangular light spots provided by the present invention comprises the following steps:

步骤1:根据提供的LED光源资料,确定LED光源的光分布函数满足关系:I(θ)=80*cos2θ;Step 1: According to the provided LED light source information, determine that the light distribution function of the LED light source satisfies the relationship: I(θ)=80*cos 2 θ;

步骤2:根据需要确定矩形目标照明区域的长a=30m,宽b=16m,光源离照明区域的距离h=10m;Step 2: Determine the length a=30m, width b=16m of the rectangular target lighting area as required, and the distance h=10m between the light source and the lighting area;

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线段,线段长度满足公式其中为过矩形中心的线段与矩形的长边a所成的角,

Figure BDA0000050675490000043
在本实施例中
Figure BDA0000050675490000044
Step 4: Divide the rectangular lighting area into several line segments passing through the center of the rectangle, and the length of the line segments satisfies the formula in is the angle formed by the line segment passing through the center of the rectangle and the long side a of the rectangle,
Figure BDA0000050675490000043
In this example
Figure BDA0000050675490000044

步骤5:按公式∫I(θ)dθ=∫Adρ,建立线段

Figure BDA0000050675490000045
上任一点
Figure BDA0000050675490000046
与LED光源出射角
Figure BDA0000050675490000047
的一一对应关系;其中ρ为点
Figure BDA0000050675490000048
与矩形中心的距离,A为目标照明区域的平均照度值;Step 5: Create a line segment according to the formula ∫I(θ)dθ=∫Adρ
Figure BDA0000050675490000045
Take office a little
Figure BDA0000050675490000046
Outgoing angle with LED light source
Figure BDA0000050675490000047
One-to-one correspondence; where ρ is a point
Figure BDA0000050675490000048
The distance from the center of the rectangle, A is the average illuminance value of the target lighting area;

步骤6:将步骤5获得的关系代入公式nsin(β+α)=sin(β+θout),求解出配光曲面在不同方向的斜率tanβ,从而得出起配光作用的整个透镜后表面的数据,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,透镜前表面为球面,如图1中2和图2所示,LED光源位于球心处,如图1中3所示,光线在前表面正入射进入透镜,减少反射损耗。Step 6: Substituting the relationship obtained in step 5 into the formula nsin(β+α)=sin(β+θ out ) to solve the light distribution surface in different The slope tanβ of the direction, so as to obtain the data of the entire rear surface of the lens that plays the role of light distribution, 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, the front surface of the lens is spherical, as shown in Figure 1 and Figure 2, and the LED light source is located at the center of the sphere, as shown in Figure 1 3 , light enters the lens at normal incidence on the front surface, reducing reflection loss.

步骤7:将步骤6得到的透镜与步骤1的LED光源进行组装,得到光斑形状如图5所示,而没加透镜前裸灯的光斑形状为圆形(如图4),可以看出,按本发明实现的LED二次配光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: Assemble the lens obtained in step 6 with the LED light source in step 1 to obtain a spot shape as shown in Figure 5, while the spot shape of the bare lamp without the lens is circular (as shown in Figure 4). It can be seen that, The LED secondary light distribution lens realized according to the invention can obtain rectangular light spots, 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)

1.一种呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,包括:1. A method for realizing an LED secondary light distribution lens that is uniformly distributed in a rectangular spot, characterized in that it comprises: 步骤1:根据提供的LED光源资料,确定LED光源的光分布函数I(θ);Step 1: According to the provided LED light source information, determine the light distribution function I(θ) of the LED light source; 步骤2:根据具体需要确定矩形目标照明区域的长a,宽b,光源离照明区域的距离h;Step 2: Determine the length a, width b, and the distance h between the light source and the lighting area of the rectangular target lighting area according to specific needs; 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:将矩形目标照明区域划分成若干过矩形中心的线段,线段长度满足公式
Figure FDA0000050675480000011
其中
Figure FDA0000050675480000012
为过矩形中心的线段与矩形的长边a所成的角,
Figure FDA0000050675480000013
Step 4: Divide the rectangular target lighting area into several line segments passing through the center of the rectangle, and the length of the line segments satisfies the formula
Figure FDA0000050675480000011
in
Figure FDA0000050675480000012
is the angle formed by the line segment passing through the center of the rectangle and the long side a of the rectangle,
Figure FDA0000050675480000013
步骤5:根据能量守恒定律,建立步骤4获得线段
Figure FDA0000050675480000014
上任一点
Figure FDA0000050675480000015
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 FDA0000050675480000016
与矩形中心的距离,A为目标照明区域的平均照度值;
Step 5: According to the law of conservation of energy, establish step 4 to obtain the line segment
Figure FDA0000050675480000014
Take office a little
Figure FDA0000050675480000015
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 FDA0000050675480000016
The distance from the center of the rectangle, A is the average illuminance value of the target lighting area;
步骤6:根据步骤4中公式和步骤5中公式获得的
Figure FDA0000050675480000017
与目标照明矩形上任一点
Figure FDA0000050675480000018
的对应关系,以及折射定律和几何关系,对配光曲面进行求解;透镜前表面为球面,使光线正入射进入透镜,减少反射损耗;后表面满足关系公式nsin(β+α)=sin(β+θout),其中tanβ为
Figure FDA0000050675480000019
方向上的曲线在
Figure FDA00000506754800000110
方向的斜率,θout为后表面出射光线在方向的出射角。
Step 6: Obtained according to the formula in step 4 and the formula in step 5
Figure FDA0000050675480000017
Any point on the lighting rectangle with the target
Figure FDA0000050675480000018
The corresponding relationship, as well as the law of refraction and geometric relationship, solve the light distribution surface; the front surface of the lens is a spherical surface, so that the light is incident on the lens and reduces the reflection loss; the rear surface satisfies the relational formula nsin(β+α)=sin(β +θ out ), where tanβ is
Figure FDA0000050675480000019
The curve in the direction of
Figure FDA00000506754800000110
The slope of the direction, θ out is the exit ray of the rear surface at The direction of the exit angle.
2.根据权利要求1所述的呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,步骤1中所述的LED光源分布函数I(θ)是旋转对称的。2. The method for realizing the LED secondary light distribution lens with uniform distribution of rectangular light spots according to claim 1, characterized in that the LED light source distribution function I(θ) described in step 1 is rotationally symmetric. 3.根据权利要求1所述的呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,步骤2中所述的矩形目标照明区域的形状为平面矩形,LED光源位于该平面矩形中心上方h处。3. The method for realizing the LED secondary light distribution lens with uniform distribution of rectangular light spots according to claim 1, wherein the shape of the rectangular target lighting area described in step 2 is a plane rectangle, and the LED light source is located on the plane h above the center of the rectangle. 4.根据权利要求1所述的呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,步骤3中所述的透镜材料为透光材料PMMA或玻璃。4. The realization method of the LED secondary light distribution lens with uniform distribution of rectangular light spots according to claim 1, characterized in that the lens material described in step 3 is light-transmitting material PMMA or glass. 5.根据权利要求1所述的呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,步骤4中所述的线段
Figure FDA0000050675480000021
过矩形中心,线段长度满足公式
Figure FDA0000050675480000022
5. The method for realizing the LED secondary light distribution lens with uniform distribution of rectangular light spots according to claim 1, characterized in that the line segment described in step 4
Figure FDA0000050675480000021
Through the center of the rectangle, the length of the line segment satisfies the formula
Figure FDA0000050675480000022
6.根据权利要求1所述的呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,步骤5中所述的目标照明区域上任一点
Figure FDA0000050675480000023
与光源出射角θ满足公式∫I(θ)dθ=∫Adρ。
6. The method for realizing the LED secondary light distribution lens with uniform distribution of rectangular light spots according to claim 1, characterized in that any point on the target illumination area described in step 5
Figure FDA0000050675480000023
and the light source exit angle θ satisfy the formula ∫I(θ)dθ=∫Adρ.
7.根据权利要求1所述的呈矩形光斑均匀分布的LED二次配光透镜的实现方法,其特征在于,步骤6中所述的二次配光透镜的前表面为球面,后表面满足公式nsin(β+α)=sin(β+θout)。7. The realization method of the LED secondary light distribution lens that is uniformly distributed in rectangular light spots according to claim 1, wherein the front surface of the secondary light distribution lens described in step 6 is a spherical surface, and the rear surface satisfies the formula nsin(β+α)=sin(β+ θout ).
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Cited By (4)

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CN104501091A (en) * 2014-12-26 2015-04-08 成都恒坤光电科技有限公司 Design method for LED (Light Emitting Diode) secondary light distribution lens with illuminance being in Gaussian distribution
CN104879711A (en) * 2015-06-02 2015-09-02 江南大学 Design method of double-free-form-surface LED (light emitting diode) uniform-light lens based on cubic spline
CN108870318A (en) * 2018-05-21 2018-11-23 广东工业大学 A kind of LED free-form surface lens design method
CN111536439A (en) * 2020-04-30 2020-08-14 中国科学院西安光学精密机械研究所 Lamp capable of realizing rectangular uniform illumination, lamp set and lampshade structure optimization method

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CN101975370A (en) * 2010-11-01 2011-02-16 上海铭源光源发展有限公司 Design method of secondary light distribution lens for LED light source

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Publication number Priority date Publication date Assignee Title
CN101975370A (en) * 2010-11-01 2011-02-16 上海铭源光源发展有限公司 Design method of secondary light distribution lens for LED light source

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104501091A (en) * 2014-12-26 2015-04-08 成都恒坤光电科技有限公司 Design method for LED (Light Emitting Diode) secondary light distribution lens with illuminance being in Gaussian distribution
CN104879711A (en) * 2015-06-02 2015-09-02 江南大学 Design method of double-free-form-surface LED (light emitting diode) uniform-light lens based on cubic spline
CN104879711B (en) * 2015-06-02 2017-11-24 江南大学 A kind of even optical lens design method of double free-form surface LEDs based on cubic spline
CN108870318A (en) * 2018-05-21 2018-11-23 广东工业大学 A kind of LED free-form surface lens design method
CN111536439A (en) * 2020-04-30 2020-08-14 中国科学院西安光学精密机械研究所 Lamp capable of realizing rectangular uniform illumination, lamp set and lampshade structure optimization method
CN111536439B (en) * 2020-04-30 2024-05-10 中国科学院西安光学精密机械研究所 Lamp capable of realizing rectangular uniform illumination, lamp set and lamp shade structure optimization method

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