The Parabolic Equation Method for the High-frequency Scattering from a Convex Perfectly Conducting Wedge with Curved Faces

Abstract

The parabolic equation method permits one to develop valuable and flexible techniques to solve high frequency scattering problems in wedge shaped regions. This method is here applied to solve the two-dimensional problem of plane wave scattering from a convex perfectly conducting wedge with curved faces. The results provided by the parabolic model are compared on a test-case problem with the numerical results obtained by a hybrid Finite Element-based approach. These results prove that in the far-field scattering region the parabolic equation approach is able to provide results of the same quality of the hybrid Finite Element approach, but with a 96% reduction of the computational time.