Ma. Lyalinov, ON ONE APPROACH TO AN ELECTROMAGNETIC DIFFRACTION PROBLEM IN A WEDGE-SHAPED REGION, Journal of physics. A, mathematical and general, 27(6), 1994, pp. 120000183-120000189
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.