Diffraction of an obliquely incident plane wave by the discontinuity formed by resistive and impedance half planes

Recently the authors considered the diffraction by a discontinuity formed at the junction of impedance and resistive half-planes when the plane wave is incident in a plane perpendicular to the edge. Here the analysis is extended to the more general case of oblique incidence. The method adopted consists essentially of using a set of equivalent boundary conditions expressed in terms of the normal components of the field and their normal derivatives. Thus, the boundary value problem can be reduced to scalar Wiener-Hopf equations which can be solved by standard techniques. Numerical results are presented for the backscattered field where the ambient medium is taken as free space.<>