Wang Lin, Qian Keyuan, Luo Yi
Semiconductor Lighting Laboratory, Graduate School of Shenzen, Tsinghua University, Shenzhen, China.
Appl Opt. 2007 Jun 20;46(18):3716-23. doi: 10.1364/ao.46.003716.
For the problem of point source forming prescribed irradiance, a new, to the best of our knowledge, method-variable separation mapping method is presented, which establishes separately the correspondence between variables on the light source and the target plane. The role played by the optical surfaces is then to redirect the light rays to their corresponding target points. The surface of the lens is determined by first calculating the surface points and then their normal vectors. Considering that normal deviations are produced in the surface construction process, a normal deviation control method is also presented to restrict the deviation. With this normal deviation control method, discontinuities are introduced onto the lens surface. From these mapping and normal control methods, a fast and efficient algorithm has been developed for several prescribed irradiance problems with simple nonrotational shape of the illuminated region.
针对点光源形成规定辐照度的问题，据我们所知，提出了一种新方法——变量分离映射法，该方法分别建立了光源和目标平面上变量之间的对应关系。光学表面的作用是将光线重定向到其相应的目标点。首先通过计算表面点及其法向量来确定透镜表面。考虑到在表面构建过程中会产生法向偏差，还提出了一种法向偏差控制方法来限制偏差。采用这种法向偏差控制方法会在透镜表面引入不连续性。基于这些映射和法向控制方法，针对几种具有简单非旋转形状照明区域的规定辐照度问题，开发了一种快速高效的算法。
