Realization of the D'B' boundary condition

TL;DR

This paper proposes a metamaterial-based method to realize the D'B' boundary condition, which involves vanishing normal derivatives of the normal components of D and B fields, extending the known implementation of the DB boundary.

Contribution

It introduces a wave-guiding quarter-wave transformer layer that transforms the DB boundary into the D'B' boundary, providing a practical realization method.

Findings

The D'B' boundary can be realized using a metamaterial layer.

The transformer converts the DB boundary to D'B' boundary.

The approach also applies to mixed-impedance boundaries.

Abstract

In this paper we find a realization for the D'B'-boundary conditions, which imposes vanishing normal derivatives of the normal components of the D and B fields. The implementation of the DB boundary, requiring vanishing normal components of D and B, is known. It is shown that the realization of the D'B' boundary can be based on a layer of suitable metamaterial, called the wave-guiding quarter-wave transformer, which transforms the DB boundary to the D'B' boundary. In an appendix, the mixed-impedance boundary, which is a generalization of both DB and D'B' boundaries, is shown to transform to another mixed-impedance boundary through the same transformer.