arXiv · 1110.2947
On the electrodynamics in time-dependent linear media
Abstract
In this work we study the classical electrodynamics in homogeneous conducting and nonconducting time-dependent linear media in the absence of charge sources. Surprisingly, we find that the time dependence of the permittivity gives rise to an additional term in the Ampere-Maxwell equation and an asymmetry between the electric and magnetic field wave equations. As special cases we consider a linear and an exponential growth of the permittivity, as well as a sinusoidal time-dependent permittivity.
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I. A. Pedrosa, A. Yu. Petrov, Alexandre Rosas. 2011-10-13. On the electrodynamics in time-dependent linear media. https://doi.org/10.1140/epjd%2Fe2012-30308-9
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