Electromagnetic wave scattering on transparent wavy interface

The method of observation of the Earth surface by various technical tools is one of the most widespread methods for the investigation of the environment. Radar stations for survey of the Earth surface are of great importance among such tools. We consider the practical problem of remote sensing of the sea water. The most important for such applications is the inverse problem of determination of the reflecting surface boundary. To solve the inverse problem it is necessary to have an efficient numerical method for the direct problem solution. We consider the numerical procedures for analysis of the diffraction problem of a plane electromagnetic wave incident on a wavy interface between two different media. An infinite periodical cylindrical surface as well as the cylindrical surface differing from the plane on a bounded part of it is discussed. In the case of an illuminated region which is wide compared to the wavelength of the incident field, the choice of periodic model of the reflecting surface is justified. We investigate a full electromagnetic formulation of the problem of plane wave diffraction by a periodic wavy interface between two different media, on whose surface either the continuity conditions of the tangential components of the electric and magnetic fields or the Leontovich conditions are satisfied. The boundary value problem for the Maxwell set of equations in the half-space is reduced to a set of integral equations over a finite portion of the boundary by selecting appropriate fundamental solutions