Electromagnetic Boundaries with PEC/PMC Equivalence

TL;DR

This paper demonstrates that the GSHDB boundary is the most general electromagnetic boundary condition that is equivalent to PEC and PMC boundaries for its eigen-plane waves, unifying various special cases.

Contribution

It establishes the GSHDB boundary as the most general boundary satisfying PEC/PMC equivalence for eigen-plane waves, extending previous special cases.

Findings

GSHDB boundary is most general satisfying PEC/PMC equivalence.

Reveals unifying framework for electromagnetic boundary conditions.

Extends understanding of boundary condition generalizations.

Abstract

The most general electromagnetic boundary, defined by linear and local boundary conditions, is defined in terms of conditions which can be called generalized impedance boundary conditions. Requiring that the boundary be equivalent to PEC and PMC boundaries for its two eigen-plane waves, which property is known to exist for many of its special cases, it is shown that the recently introduced Generalized Soft-and-Hard/DB (GSHDB) boundary is the most general boundary satisfying this property.