The sommerfeld half-plane problem revisited, II the factoring of a matrix of analytic functions These results were announced at the XXth General Assembly of the U.R.S.I. held in Washington, D.C., August 1981.

Abstract

A half-plane under plane wave excitation obeys a Dirichlet boundary condition on one side and a Neumann boundary condition on the other. These boundary conditions contrast the ones used by A. Sommerfeld in his classical paper. The present problem leads to a system of integral equations of the Wiener-Hopf type which may be solved by a matrix factoring method suggested by A. E. Heins in 1950.