Abstract
The paper shows how to implement the generalized Harvey–Shack (GHS) method for isotropic rough surfaces discretized in a polar coordinate system and approximated using Fourier series. This is particularly relevant for the use of the GHS method as a boundary condition for radiative transfer problems in slab geometries, where the discrete ordinates method can be applied to solve the problem. Furthermore, such an implementation is a more convenient discretization of the problem than the traditional direction cosine space that has its strengths in analytical problems and intuitive understanding (mainly due to its translation invariance). A computer implementation of scattering from a Gaussian rough surface with Gaussian autocovariance written in Python is included at the end of the paper.
© 2015 Optical Society of America
Full Article | PDF ArticleMore Like This
Andrey Krywonos, James E. Harvey, and Narak Choi
J. Opt. Soc. Am. A 28(6) 1121-1138 (2011)
Zhanpeng Ma, Hu Wang, Qinfang Chen, Yaoke Xue, Yue Pan, Yang Shen, and Haoyu Yan
J. Opt. Soc. Am. B 39(7) 1730-1735 (2022)
Zhanpeng Ma, Poul-Erik Hansen, Hu Wang, Mirza Karamehmedović, and Qinfang Chen
J. Opt. Soc. Am. B 40(5) 1162-1169 (2023)