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

Autor: R.G. Petrosyan, Jörg B. Götte, K.K. Grigoryan, Stephan Fritzsche, Armen G. Hayrapetyan
Rok vydání: 2016
Předmět:
Zdroj: Journal of Quantitative Spectroscopy and Radiative Transfer. 178:158-166
ISSN: 0022-4073
DOI: 10.1016/j.jqsrt.2015.12.007
Popis: 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.
Comment: 5 figures
Databáze: OpenAIRE