Soft-and-Hard/D'B' Boundary Conditions and their Realization by Electromagnetic Media

TL;DR

This paper introduces a new class of electromagnetic boundary conditions called SHD'B' conditions, realized by specialized media, and explores their wave reflection properties with potential applications in controlling electromagnetic waves.

Contribution

It generalizes existing boundary conditions by introducing SHD'B' conditions and demonstrates their realization using skewon-axion media, expanding the design space for electromagnetic interfaces.

Findings

SHD'B' boundary conditions generalize soft-and-hard and D'B' conditions.

Numerical analysis shows narrow beam reflection with radical changes at specific parameters.

Potential for advanced electromagnetic wave control applications.

Abstract

A layer of uniaxial medium with large axial permittivity and permeability can be used as a quarter-wave transformer with interesting properties. By increasing the transverse permittivity and permeability the transformer becomes a thin sheet. It is shown that the recently introduced SHDB boundary conditions, generalizing the soft-and-hard and DB conditions, realized by the interface of a skewon-axion medium, can be transformed to form a novel class of SHD'B' boundary conditions which generalizes the soft-and-hard and D'B' boundary conditions. Reflection of a plane wave from a planar SHD'B' boundary is considered by numerical examples revealing an interesting narrow beam with radical change of reflection for certain values of parameters and incidence angles.