A technique for obtaining a high-precision heuristic solution to the problem of diffraction on a half-plane with non-ideal boundary conditions

A new technique for obtaining a precise heuristic formula for solving the problem of diffraction of an electromagnetic wave on a half-plane with non-ideal boundary conditions employing the recently developed method of fundamental components is proposed. As a primary heuristic formula, we take a combination of the reflection and transmission coefficients for an infinite plane with non-ideal boundary conditions and the known expression for the diffraction coefficient of a perfectly conducting half-plane. The technique for refining the primary heuristic formula represents a linear combination of two types of heuristic formulas in order to zero the scattering pattern at the margins while retaining the previously found values at the singularity points. The effectiveness of this method of refining is illustrated by solving the problem of diffraction of an electromagnetic wave on a half-plane with generalized two-sided impedance boundary conditions.