Heuristic Solution to the Diffraction Problem on a Superconducting Half-Plane

Abstract—The article presents a rigorous numerical solution, using the Wiener–Hopf method, to the problem of plane wave diffraction in a half-plane with generalized two-sided impedance boundary conditions describing various types of structures, including thin superconducting layers with a thickness comparable to the thickness of the skin layer. Expressions are obtained for the field scattered by the half-plane in the far field. For the rigorous solution, a heuristic formula is constructed that approximately describes the scattered field. It is shown that heuristic relations qualitatively and in many cases quantitatively correctly describe the scattering characteristics of the half-plane. A physical interpretation of the rigorous solution is proposed, based on the obtained heuristic relations.