Author Affiliations
Abstract
1 Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
2 Signify Research, High Tech Campus 7, 5656 AE Eindhoven, The Netherlands
We present a novel approach of modelling surface light scattering in the context of two-dimensional reflector design, relying on energy conservation and optimal transport theory. For isotropic scattering in cylindrically or rotationally symmetric systems with in-plane scattering, the scattered light distribution can be expressed as a convolution between a scattering function, which characterises the optical properties of the surface, and a specular light distribution. Deconvolving this expression allows for traditional specular reflector design procedures to be used, whilst accounting for scattering. This approach thus constitutes solving the inverse problem of light scattering, allowing for direct computation of the reflector surface, without the need for design iterations.
Surface scattering Reflector design Illumination optics Inverse methods Journal of the European Optical Society-Rapid Publications
2023, 19(1): 2023014
TIR结构可准直LED光,因此被广泛应用于LED二次光学系统设计。通过调整TIR结构的全反射面,可以实现不同小发散角的圆形照明。设计了半发散角为5°和10°的透镜并进行了仿真验证。仿真结果表明,当采用点光源或者1 mm×1 mm LED光源时,半发散角都分别能满足预期为5°和10°。此方法同样适用其他小发散角透镜的设计。
非成像光学 照明光学 几何光学 发散角 non-imaging optics illumination optics geometric optics divergence angle
1 海军工程大学兵器工程系, 湖北 武汉 430033
2 太原卫星发射中心, 山西 岢岚 036303
利用能量守恒建立光源与目标之间的网格映射可以用来设计自由曲面照明透镜,然而这种方式设计透镜表面的连续性依赖于映射是否可积。其根本原因是这种预先设定的映射并非照明问题的真实解。为了得到连续的透镜曲面,首先使用支撑曲面法利用一定数量的笛卡尔卵形面构造非连续的自由曲面透镜。以这个透镜为初始设计,通过拟合建立光源与目标面的网格映射。由于初始设计的透镜为照明问题的真实解,因此这个映射满足可积条件。光学仿真表明这种方法设计的透镜可以在目标面达到目标面达到0.77的照度均匀性以及81.6%的光学效率,同时透镜的表面连续。
照明光学 自由曲面 非常像光学 几何光学 illumination optics freeform surface nonimaging optics geometric optics
