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.

摘要—本文使用维纳-霍夫（Wiener-Hopf）方法提出了一种严格的数值解决方案，用于解决具有广义双面阻抗边界条件的半平面中的平面波衍射问题，该问题描述了各种类型的结构，包括厚度很薄的超导层相当于表皮层的厚度。获得由远场中的半平面散射的场的表达式。对于严格的解决方案，构建了一个启发式公式，可以近似描述散射场。结果表明，启发式关系定性地且在许多情况下定量地正确地描述了半平面的散射特性。基于获得的启发式关系，提出了严格解的物理解释。