Self-dual boundary conditions in electromagnetics

Ismo V. Lindell*, Ari Sihvola

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
53 Downloads (Pure)


—Invariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary conditions with self-dual property is studied. Expressing the boundary conditions in terms of a generalized impedance dyadic, the self-dual boundaries fall in two sets depending on symmetry or antisymmetry of the impedance dyadic. Previously known cases are found to appear as special cases of the general theory. Plane-wave reflection from boundaries defined by each of the two cases of self-dual conditions are analyzed and waves matched to the corresponding boundaries are determined. As a numerical example, reflection from a special case, the self-dual EH boundary, is computed for two planes of incidence.

Original languageEnglish
Pages (from-to)41-54
Number of pages14
JournalProgress in Electromagnetics Research
Publication statusPublished - 1 Jan 2020
MoE publication typeA1 Journal article-refereed


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