Theory of the Anomalous Skin Effect in a Metal Film. III. On the Two-Sided Wiener-Hopf Method

Abstract

A method is presented for the solution of an integrodifferential equation which governs the electromagnetic propagation in a metal film when the metal electrons suffer diffuse reflection at each surface of the film. It is found that the equation goes over into a homogeneous Hilbert boundary problem for two unknown functions, which for large enough film thickness can be solved by iterations and leads to a solution in a form independent of the physical parameters, thereby simplifying greatly the two-sided Wiener-Hopf method developed by Baraff. A tentative interpretation is also given of the enhancement of field penetration by diffuse reflection.