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

TL;DR

This paper analyzes the electromagnetic field behavior at the junction of two resistive half-planes with different surface impedances, revealing unique singularities and surface current jumps not present in single half-plane cases.

Contribution

It provides a detailed analysis of the electromagnetic field singularities and surface current discontinuities at the impedance junction, extending understanding beyond single resistive half-plane models.

Findings

Both electric and magnetic fields exhibit logarithmic singularities at the junction.

Surface current density has a finite jump proportional to the impedance difference.

The analysis differs from the single half-plane case by revealing new singular behaviors.

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.