Hayrapetyan, A. G., Klevansky, S. P. and Götte, J. B. (2017) Instantaneous modulations in time-varying complex optical potentials. New Journal of Physics, 19(10), 105002. (doi: 10.1088/1367-2630/aa8245)
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Abstract
We study the impact of a spatially homogeneous yet non-stationary dielectric permittivity on the dynamical and spectral properties of light. Our choice of potential is motivated by the interest in ${ \mathcal P }{ \mathcal T }$-symmetric systems as an extension of quantum mechanics. Because we consider a homogeneous and non-stationary medium, ${ \mathcal P }{ \mathcal T }$ symmetry reduces to time-reversal symmetry in the presence of balanced gain and loss. We construct the instantaneous amplitude and angular frequency of waves within the framework of Maxwell's equations and demonstrate the modulation of light amplification and attenuation associated with the well-defined temporal domains of gain and loss, respectively. Moreover, we predict the splitting of extrema of the angular frequency modulation and demonstrate the associated shrinkage of the modulation period. Our theory can be extended for investigating similar time-dependent effects with matter and acoustic waves in ${ \mathcal P }{ \mathcal T }$-symmetric structures.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Goette, Dr Joerg |
Authors: | Hayrapetyan, A. G., Klevansky, S. P., and Götte, J. B. |
College/School: | College of Science and Engineering > School of Physics and Astronomy |
Journal Name: | New Journal of Physics |
Publisher: | Institute of Physics Publishing Ltd. |
ISSN: | 1367-2630 |
ISSN (Online): | 1367-2630 |
Copyright Holders: | Copyright © 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft |
First Published: | First published in New Journal of Physics 19(10):105002 |
Publisher Policy: | Reproduced under a Creative Commons License |
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