Ma Yufei, Zhang Hang, Su Zeyu, He Yu, Xu Liang, Liu Xu, Li Haifeng
Appl Opt. 2015 May 10;54(14):4503-8. doi: 10.1364/AO.54.004503.
We propose a hybrid method of free-form illumination design for an arbitrary target form, imposing no restriction on the boundary of the irradiance distribution. Smooth continuous surfaces and continuous irradiance distributions are achieved with two independent steps. Initial solutions of the illumination problem are obtained with the method of supporting paraboloids, and final solutions are acquired by numerically solving the elliptic Monge-Ampére equations. Lenses, which are able to produce complex irradiance distributions, can be achieved with this method and fabricated in practice. The feasibility of this approach is demonstrated by some examples with experimental results.
我们提出了一种针对任意目标形状的自由形式照明设计的混合方法，该方法对辐照度分布的边界没有限制。通过两个独立步骤可实现光滑连续的表面和连续的辐照度分布。利用支撑抛物面法获得照明问题的初始解，并通过数值求解椭圆型蒙日 - 安培方程得到最终解。使用该方法能够实现可产生复杂辐照度分布的透镜，并在实际中进行制造。通过一些带有实验结果的示例证明了该方法的可行性。
