State Key Laboratory of Modern Optical Instrumentation, Zhejiang University, Hang Zhou 310027, China.
Opt Lett. 2013 Jan 15;38(2):229-31. doi: 10.1364/OL.38.000229.
We propose an approach to deal with the problem of freeform surface illumination design without assuming any symmetry based on the concept that this problem is similar to the problem of optimal mass transport. With this approach, the freeform design is converted into a nonlinear boundary problem for the elliptic Monge-Ampére equation. The theory and numerical method are given for solving this boundary problem. Experimental results show the feasibility of this approach in tackling this freeform design problem.
我们提出了一种处理自由曲面照明设计问题的方法，该方法不基于任何对称性假设，其基本思想是将这个问题与最优质量传输问题进行类比。通过这种方法，自由曲面的设计被转化为一个关于椭圆 Monge-Ampère 方程的非线性边值问题。我们给出了求解这个边值问题的理论和数值方法。实验结果表明了这种方法在解决自由曲面设计问题上的可行性。
