考虑重力的电磁波在非线性介质中传播的若干问题

M. Khulbe, H. Parthasarathy, M. Tripathy
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引用次数: 0

摘要

在本文中,我们建议用摄动理论近似地求解广义相对论中的麦克斯韦方程(描述物质对电磁场的引力效应),同时考虑到介质可能是非线性的、不均匀的和各向异性的这一事实,这是由电磁场相关的介电常数-磁导率-电导率张量描述的。我们还提出了一种方法来估计在这种情况下,即在重力效应和介质的非均匀性、各向异性和非线性的情况下,当电磁场入射到天线上时,天线上产生的表面电流密度。整个形式是建立在广义相对论的张量微积分和协变微分基础上的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Some Aspects of Electromagnetic Waves Propagating in Nonlinear Media taking Gravity into account
In this paper we propose to solve approximately using perturbation theory, Maxwell’s equations in general relativity ie in curved space-time (that describes gravitational effects ofmatter on the electromagnetic field) taking in addition account of the fact that the medium may be nonlinear, inhomogeneous and anisotropic that is described by a electromagnetic field dependent permittivity – permeability -conductivity tensor. We also propose a method for estimating under such circumstances, ie gravitational effects & inhomogeneity anisotropicity & nonlinearity of the medium into account, the surface current density induced on an antenna when an electromagnetic field is incident upon it. The entire formalism is based on the tensor calculus and covariant differentiating fundamental to the general theory of relativity.
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