Edge Conditions for the Junction of Two Resistive Half-Planes with Different Surface Impedances

Abstract

This work presents an analysis of the behavior of an electromagnetic field near the common edge of two resistive half-planes with different surface impedances. Contrary to the case of a single resistive half-plane, in the case of the impedance junction, both electric and magnetic fields' transverse components simultaneously contain a logarithmic singularity. It is shown that a surface current density has a finite jump that is proportional to the difference between the inverse impedances.