TM electromagnetic scattering by a transparent wedge with resistive faces

The Sommerfeld-Maliuzhinets method is used to calculate the total fields in the interior and exterior regions of an arbitrarily angled resistive wedge . A E-plane wave (TM mode) normally illuminates the two-dimensional resisti ve wedge. Two spectral functions are introduced to represent the fields in both regions. By imposing the resistive boundary conditions on the wedge fa ces, a system of coupled functional equations is obtained for the two unkno wn spectral functions. The functional equations are reduced to singular int egral equations for the auxiliary functions. The predictions for a right-an gled resistive wedge are shown to be in good agreement with measurements.