English

Electromagnetic Boundary Conditions Defined by Reflection Properties of Eigen Plane Waves

Classical Physics 2021-08-12 v1

Abstract

It is known that the two eigen plane waves incident to the generalized soft-and-hard/DB (GSHDB) boundary are reflected as from the PEC or PMC boundary, i.e., with reflection coefficients 1-1 or +1+1, for any angle of incidence. The present paper discusses a more general class of boundaries by requiring that the reflection coefficients R+R_+ and RR_-, corresponding to the two eigen plane waves, have opposite values, R±=±RR_\pm=\pm R with RR independent of the angle of incidence. It turns out that, there are two possibilities, R=1R=1 for the class of GSHDB boundaries, and R=jR=j for another class, extending that of the perfect electromagnetic conductor (PEMC) boundaries. Matched waves at, and plane-waves reflected from, boundaries of the latter class are studied in the paper.

Keywords

Cite

@article{arxiv.2108.05070,
  title  = {Electromagnetic Boundary Conditions Defined by Reflection Properties of Eigen Plane Waves},
  author = {Ismo V. Lindell and Ari Sihvola},
  journal= {arXiv preprint arXiv:2108.05070},
  year   = {2021}
}
R2 v1 2026-06-24T05:01:10.393Z