Edge conditions for the junction of two resistive half-planes with different surface impedances

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. Unlike a single resistive half-plane, in the case of the impedance junction, both transverse electric and magnetic field's components simultaneously contain a logarithmic singularity. It was shown that a surface current density has a finite jump that is proportional to the difference between the inverse impedances.