On one approach to an electromagnetic diffraction problem in a wedge shaped region

An electromagnetic diffraction problem in a wedge shaped region is reduced to a system of coupled functional equations by means of Sommerfeld integrals. Anisotropic impedance boundary conditions are satisfied on the wedge's faces. This system of functional equations is solved by regular perturbation method. It is shown that for weak anisotropy the solution is presented by converging series which are Neumann recurrent series for linear equations with contracting operators. In a general case, the problem is reduced to linear equations with compact operators. The wave field asymptotic is computed for the region outside the vicinity of the edge of the wedge.