Scattering of horizontally polarized electromagnetic fields by random surfaces

Field scattering by a rough surface has been of interest because of its applications in radar and communications. One method of expressing the surface shape is statistical. In this work the rough surfaces consist of piecewise-linear segments or facets having random slopes and variable horizontal projections. Such surfaces are described by the Markov chain, and the surface heights correspond to the states in the stochastic matrix. A number of Gaussian surfaces with the same statistical properties as those of the Markov surfaces are generated. Thus there are two sets of rough surfaces, one described by the Markov chain and the other following Gaussian distribution. By means of ray tracing, the horizontally polarized fields scattered by these surfaces are calculated and compared