The numerical methods for the analysis of the diffraction problems of a plane electromagnetic wave by a wavy boundary between two media

The present article is a study of the reflection of the field of a plane electromagnetic wave from an irregular boundary. We investigate two mathematical models for solving the problem of reflection of a plane E- and H-polarized electromagnetic waves from an irregular media interface. These problems appear in radar imaging of the water surface of the Earth. In constructing a mathematical model, it is necessary to take into consideration the geometry of the irradiated surface, the electrodynamic parameters of the medium, and the character of the incident field. For visuality, all calculations in this paper were carried out for normal incidence of the plane wave. The proposed algorithms also permit performing computational experiment in the case of inclined incidence of a plane wave.