Hayrapetyan, A. G., Götte, J. , Grigoryan, K. K., Fritzsche, S. and Petrosyan, R. G. (2016) Electromagnetic wave propagation in spatially homogeneous yet smoothly time-varying dielectric media. Journal of Quantitative Spectroscopy and Radiative Transfer, 178, pp. 158-166. (doi: 10.1016/j.jqsrt.2015.12.007)
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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 τ, 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.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Goette, Dr Joerg |
Authors: | Hayrapetyan, A. G., Götte, J., Grigoryan, K. K., Fritzsche, S., and Petrosyan, R. G. |
College/School: | College of Science and Engineering > School of Physics and Astronomy |
Journal Name: | Journal of Quantitative Spectroscopy and Radiative Transfer |
Publisher: | Elsevier |
ISSN: | 0022-4073 |
ISSN (Online): | 1879-1352 |
Published Online: | 18 December 2015 |
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