Cylindrical E-wave scattering by a right angle dielectric wedge

The solution presented in this paper, permits one to compute the scattered fields at any observation point. An asymptotic approximation of obtained solution gives both backscattered and forward scattered far-fields. A canonical method of field matching on the boundaries is used. Fields inside the wedge and outside of it are represented as plane-wave spectral representations in integral form in the right-angle coordinates. Then, the boundary conditions satisfaction leads to a set of IEs of the first kind for six spectral functions. These equations are solved in the class of continuous functions that is possible for a cylindrical incident wave. The Laplace transform of the obtained integral equations results in an ill-conditioned matrix equation (ME) obtained with the aid of quadratures. A new iterative scheme is presented for such equation solving.