Scattering of electromagnetic waves in a plane channel with sharp corners

Abstract

The model plane scattering problem in the strip region with a sharp ledge is considered. The problem is governed by the Helmholtz equation, the Neumann condition on the boundary and the radiation condition at infinity. The method of discrete sources (MDS) along with singular value decomposition technique is used. The original ideas for the way of source allocation for sharp-pointed domains are suggested. An algorithm, permitting us to find the optimal source placement, is presented. Numerical experiments illustrate our investigations.