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Generalized Image Method for Radiation Problems Involving the Minkowskian Isotropic Medium

Prudêncio, F. ; Matos, S.A. ; Paiva, C. R.

Generalized Image Method for Radiation Problems Involving the Minkowskian Isotropic Medium, Proc Metamorphose International Congress on Advanced Electromagnetic Materials in Microwaves and Optics - METAMATERIALS, Bordeux, France, Vol. 1, pp. 0 - 0, September, 2013.

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Abstract
We formulate a generalized image theory for the radiation of electromagnetic sources in the vicinity of the interface between vacuum and a Minkowskian isotropic medium (MIM). The MIM is a special kind of a Tellegen medium where the isotropy is an invariant, i.e, the 4D constitutive relation of a MIM is invariant for any inertial observer. We demonstrate that because of this property the fields reflected/transmitted by a vacuum-MIM interface can be expressed in terms of suitable virtual (image) sources. This analytical result is an extension of the image theory for some known special cases: the perfect electromagnetic conductor (PEMC), the perfect electric conductor (PEC) and the perfect magnetic conductor (PMC).