Reconstruction of periodic boundary between dielectric media

We propose a robust and clear modification of the known C method for solving the problem of wave scattering by an arbitrarily shaped surface. This approach makes a reliable basis for the solution of the recognition problem, the reconstruction of surface profile and material parameters of media from known data on the scattered field. For the direct problem solution, the C-method in combination with /spl alpha/ regularisation has been chosen. This enables us to reduce the original 2D problem of linearly polarized plane wave diffraction by an arbitrary boundary of dielectric media to an operator equation.