Born non-scattering electromagnetic media
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AbstractWe consider the propagation of electromagnetic waves in an anisotropic medium. A local perturbation of the vacuum media that does not produce a detectable change in the far field is called non-scattering. Through testing by plane waves, we derive a variational equation characterizing non-scattering perturbations of permittivities and permeabilities to first order, i.e. in the Born approximation. We show that these perturbations can be characterized exactly by four functions. Three of these functions correspond to linearizations of known non-scattering media constructed by diffeomorphisms in transformation optics. The role of the fourth function is not yet understood, although some analytic properties can be derived.
2018 ◽
pp. 100-106
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1988 ◽
Vol 03
(04)
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pp. 953-1021
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2007 ◽
Vol 37
(9)
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pp. 2316-2330
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