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Optics of anisotropic inhomogeneous media: an approach based on Nambu’s dynamics

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Abstract

Nambu’s dynamics formulation has been extended to electromagnetic optics by making use of intrinsic geometrical structures (dual vector bases) linked to equations of evolution of the wavefront. Two conserved quantities (electric and magnetic energy densities) are put in correspondence with Cauchy’s quadrics associated with material tensors. A general expression of an eikonal equation for linear inhomogeneous anisotropic media has been derived, and illustrative graphic constructions to outline ray behavior are proposed. The methodology is particularized for several kinds of natural and artificial media.

© 2019 Optical Society of America

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