Effective Light Dynamics in Perturbed Photonic Crystals

@article{DeNittis2013EffectiveLD,
title={Effective Light Dynamics in Perturbed Photonic Crystals},
author={Giuseppe De Nittis and Max Lein},
journal={Communications in Mathematical Physics},
year={2013},
volume={332},
pages={221-260}
}
• Published 5 July 2013
• Physics
• Communications in Mathematical Physics
In this work, we rigorously derive effective dynamics for light from within a limited frequency range propagating in a photonic crystal that is modulated on the macroscopic level; the perturbation parameter $${\lambda \ll 1}$$λ≪1 quantifies the separation of spatial scales.We do that by rewriting the dynamical Maxwell equations as a Schrödinger-type equation and adapting space-adiabatic perturbation theory. Just like in the case of the Bloch electron, we obtain a simpler, effective Maxwell…
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