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Progress In Electromagnetics Research
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SELF-DUAL BOUNDARY CONDITIONS IN ELECTROMAGNETICS

By I. V. Lindell and A. H. Sihvola

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Abstract:
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.

Citation:
I. V. Lindell and A. H. Sihvola, "Self-Dual Boundary Conditions in Electromagnetics," Progress In Electromagnetics Research, Vol. 167, 41-54, 2020.
doi:10.2528/PIER20031008
http://www.jpier.org/PIER/pier.php?paper=20031008

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