Diffraction of Creeping Waves by Conical Points

Abstract

We briefly review our recent results on evaluation of the diffracted wave for electromagnetic creeping waves scattered by a conical point at a perfectly conducting surface. The theory uses matched asymptotic expansions and the reciprocity principle, and reduces the problem to the need to evaluate the “canonical” conical diffraction coefficients at the boundary. The latter is a special case of the theory developed and implemented by us before. Additional technical difficulty comes from the need to evaluate the diffraction coefficients at the boundary which within the application of our “spherical” boundary integral equation method leads to the need to evaluate appropriate singular integrals. The latter was resolved using the Discrete Fourier Transform and the whole strategy has been implemented numerically. We report sample numerical results demonstrating convergence of the algorithm.