volume | PIER Journals

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.

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2. Lindell, I. V. and A. Sihvola, "Electromagnetic wave reflection from boundaries defined by general linear and local conditions," IEEE Trans. Antennas Propag., Vol. 5, No. 9, 4656-4663, September 2017.
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3. Lindell, I. V. and A. Sihvola, Boundary Conditions in Electromagnetics, Wiley and IEEE Press, 2020.

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19. Lindell, I. V., A. Sihvola, P. Yl¨a-Oijala, and H. Wallen, "Zero backscattering from self-dual objects of finite size," IEEE Trans. Antennas Propag., Vol. 57, No. 9, 2725-2731, September 2009.
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20. Lindell, I. V. and A. Sihvola, "Generalization of perfect electromagnetic conductor (PEMC) boundary,", arXiv:1912.00436v1 [physics.class-ph], December 1, 2019.
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21. Liu, F., S. Xiao, A. Sihvola, and J. Li, "Perfect co-circular polarization reflector: A class of reciprocal perfect conductors with total co-circular polarization reflection," IEEE Trans. Antennas Propag., Vol. 62, No. 12, 6274-6281, 2014.
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22. Tedeschi, N., F. Frezza, and A. Sihvola, "Reflection and transmission at the interface with an electric-eagnetic uniaxial medium with application to boundary conditions," IEEE Trans. Antennas Propag., Vol. 61, No. 11, 5666-5675, November 2013.
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Prof. Ismo Veikko Lindell

Dr. Ari Sihvola