A Discretization Criterion for Generating Random Rough Surface Based on Convolution Method

This paper is concerned with proposing a criterion for discretizing random rough surfaces (RRS) generated by the convolution method which is useful when we analyze electromagnetic (EM) wave propagation along RRS by using discrete ray tracing method (DRTM). Based on numerical discussions, a discretization criterion for RRS generation is proposed in a simple form to guarantee a good convergence of RRS profiles and another criterion for DRTM is also described to keep the numerical accuracy of the EM fields computed by DRTM. Some numerical results for 1D and 2D RRSs are shown to demonstrate the effectiveness of the proposed criterion.