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Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media

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Hayrapetyan,  Armen G.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Goette,  Joerg B.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Hayrapetyan, A. G., Goette, J. B., Grigoryan, K. K., Fritzsche, S., & Petrosyan, R. G. (2016). Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media. Journal of Quantitative Spectroscopy and Radiative Transfer, 178, 158-166. doi:10.1016/j.jqsrt.2015.12.007.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-F8F2-D
Abstract
We explore the propagation and transformation of electromagnetic waves through spatially homogeneous yet smoothly time-dependent media within the framework of classical electrodynamics. By modelling the smooth transition, occurring during a finite period tau, as a phenomenologically realistic and sigmoidal change of the dielectric permittivity, an analytically exact solution to Maxwell's equations is derived for the electric displacement in terms of hypergeometric functions. Using this solution, we show the possibility of amplification and attenuation of waves and associate this with the decrease and increase of the time-dependent permittivity. We demonstrate, moreover, that such an energy exchange between waves and non-stationary media leads to the transformation (or conversion) of frequencies. Our results may pave the way towards controllable light matter interaction in time-varying structures. (C) 2015 Elsevier Ltd. All rights reserved.