ON ONE APPROACH TO AN ELECTROMAGNETIC DIFFRACTION PROBLEM IN A WEDGE-SHAPED REGION

An electromagnetic diffraction problem in a wedge shaped region is red uced to a system of coupled functional equations by means of Sommerfel d integrals. Anisotropic impedance boundary conditions are satisfied o n 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 operator s. The wave field asymptotic is computed for the region outside the vi cinity of the edge of the wedge.