An approximate solution to diffraction by an anisotropic impedance half-plane at skew incidence

The problem of diffraction by an anisotropic half-plane illuminated by a plane wave at skew incidence is considered. At normal incidence the anisotropy has no effect and the solution is readily available, but skew incidence produces a coupling between the two polarizations and the problem has not yet been solved. The second order difference equation obtained if Maliuzhinets' (1958) method is employed can be reduced to a pair of first order difference equations and the functions involved are no longer meromorphic. An approximate treatment of the problem which circumvents this difficulty is presented. The solution obtained is valid at all angles of incidence and reduces to the known solution at normal incidence.