Fresnel analysis of wave propagation in nonlinear electrodynamics
Fresnel analysis of wave propagation in nonlinear electrodynamics
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DOI：
10.1103/physrevd.66.024042
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发表时间：
2002-04
影响因子：
5
通讯作者：
Y. Obukhov;G. Rubilar
中科院分区：
文献类型：
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作者：
Y. Obukhov;G. Rubilar
我们研究了局部非线性电动力学模型中的波传播。特别注意了波共矢量的菲涅耳方程的推导和分析。对于一类局部非线性拉格朗日非色散模型，我们证明了原始四次菲涅耳方程如何分解，从而产生一般的双折射效应。我们证明了有效本构张量的闭包对于双折射的不存在，即对于唯一光锥结构的存在，是充分必要的。作为菲涅耳方法的另一个应用，我们分析了光在运动各向同性非线性介质中的传播。相应的有效本构张量包含非平凡的斜块和轴子块。对于非磁性物质，我们发现双折射是由非线性引起的，并推导出相应的光学度量。
We study wave propagation in local 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 local nonlinear Lagrangian nondispersive 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 nontrivial skewon and axion pieces. For nonmagnetic matter, we find that birefringence is induced by the nonlinearity, and derive the corresponding optical metrics.