Fresnel analysis of the wave propagation in nonlinear electrodynamics

Abstract

We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we demonstrate how the originally quartic Fresnel equation factorizes, yielding the generic birefringence effect. We show that the closure of the effective constitutive (or jump) tensor is necessary and sufficient for the absence of birefringence, i.e., for the existence of a unique light cone structure. As another application of the Fresnel approach, we analyze the light propagation in a moving isotropic nonlinear medium. The corresponding effective constitutive tensor contains non-trivial skewon and axion pieces. For nonmagnetic matter, we find that birefringence is induced by the nonlinearity, and derive the corresponding optical metrics.

Revtex, 25 pages, no figures

References in corpus (4)

• Electromagnetic wave propagation inside a material medium: an effective geometry interpretation
• Analog gravity from electrodynamics in non-linear media
• Generally covariant Fresnel equation and the emergence of the light cone structure in linear pre-metric electrodynamics
• Topics in Born-Infeld Electrodynamics

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