摘要
为在特定平面上实现所需照明,从而满足各类LED照明系统的要求,通过透镜的第一面球面和第二面自由曲面的两次折射实现LED的配光设计.根据给出的LED辐射特性和所需实现的照明面上的能量分布,并预先定义透镜球面的结构参量,可得到一组一阶偏微分方程,数值差分求解直接求得透镜的自由曲面.光源采用发光面积1×1mm2朗伯体发光的LED,视角180°,由自由曲面透镜得到的各种形状照明面的模拟均匀性皆接近90%,且能量利用率高于98%,编程解一阶偏微分方程组的计算时间少于20s.
Secondary optical design of LED was realized through refractions on the first spherical surface and the second freeform surface of a freeform lens. Thereby the desired illumination was achieved and the demand of various LED illumination system was met. The numerical results of first-order partial differential equations sets were investigated to obtain a freeform surface and these equations could be obtained on knowing the characters of LED and the desired illumination, with a pro-defining of the first spherical surface of the lens. LED with 1 × 1mm^2 Lambertian light emitting surface and viewing angle of 180°was applied,and the simulated illumination of various shapes all have a uniformity near to 90% and an energy efficiency higher than 98%. It costs less than 20 seconds to calculate the first-order partial differential equations. Once this method was applied in the secondary optical design of LED,the designing efficiency and the performance of the illumination system would surely be improved.
出处
《光子学报》
EI
CAS
CSCD
北大核心
2009年第6期1486-1490,共5页
Acta Photonica Sinica
基金
国家重点基础研究发展计划(2009CB320803)资助
关键词
应用光学
自由曲面透镜
一阶偏微分方程组
LED照明系统
均匀照明
Applied optics
Freeform lens
First-order partial differential equation sets
LED illumination system
Uniform illumination
