Modelling Surface Light Scattering for Inverse Two-Dimensional Reflector Design

We present a novel approach of modelling surface light scattering in the context two-dimensional reflector design, relying on energy conservation and optimal transport theory. For isotropic cylindrically or rotationally symmetric systems with in-plane scattering, scattered distribution can be expressed as convolution between function, which characterises optical properties surface, specular distribution. Deconvolving this expression allows for traditional design procedures to used, whilst accounting scattering. This thus constitutes solving inverse problem allowing direct computation without need iterations.