Fresnel analysis of the wave propagation in nonlinear electrodynamics

Details Fresnel analysis of the wave propagation in nonlinear electrodynamics Fresnel analysis of the wave propagation in nonlinear electrodynamics

2002-04-05

arxiv.org/abs/gr-qc/0204028v1

Phys.Rev. D66 (2002) 024042

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 25 pages, no figures

Scientific paper

10.1103/PhysRevD.66.024042

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.

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