Diffraction of an E -polarized plane wave by two adjacent dielectric quarter-spaces

Abstract

A solution to the problem of diffraction of an E -polarized plane wave by two adjacent imperfectly conducting dielectric quarter-spaces is given. The solution obtained is represented in an implicit form in terms of solutions to integral equations for the Fourier transforms of the surface fields. The integral equations are solved by using an iterative method. When the wavenumbers of the quarter-spaces are suitably restricted, the successive approximations of the iterative scheme converge to the unique solution of the diffraction problem. The far field is constructed from the Fourier transform of the surface field. A useful approximate expression for the far field is obtained; the accuracy depends on the wavenumbers and the refractive indices of the media in the quarter-spaces. The far field obtained from the iterative solution is compared to the far field behavior predicted by an approximate solution which is based on impedance boundary conditions.