Diffraction of a plane electromagnetic wave by a wedge with dielectric coating under oblique incidence on the edge

The diffraction by a coated wedge of an electromagnetic plane wave with skew incidence on the edge is being considered. Generalized impedance boundary conditions (GIBC's) on the wedge's faces are used to simulate the effect of the coatings. For the problem to be well-posed, special Contact Conditions (CC's) are additionally satisfied at the edge. The problem is reduced to a system of coupled functional equations by means of Sommerfeld integrals, and the system is solved by a perturbation method. It is shown that for a certain range of the angles of skew incidence the solution is presented by converging series which are Neumann recurrent series for a linear equations with conttacting operators. The non-uniform wave field asymptotics are constructed for the region outside the vicihity of the edge of the wedge. Bibliography: 9 titles.