@inproceedings{b183a9bc1a354d4ba0900ddf06ccaedc,
title = "Nonlinear coupled-mode theory for periodic waveguides and metamaterials with loss and gain",
abstract = "We develop a systematic procedure for deriving the coupled-mode equations describing the spatial evolution of the slowly-varying amplitudes of electromagnetic modes in nonlinear periodic structures with loss and gain. Our approach is rigorously based on the Lorentz reciprocity theorem, and therefore it can be applied to a broad range of non-magnetic structures with metal and dielectric components, including plasmonic waveguides and metamaterials. We verify our approach through a direct comparison with the previous analysis based on a direct perturbation theory for planar metal-dielectric structures, and furthermore demonstrate the application of our method to the fishnet metamaterials.",
keywords = "coupled-mode theory, metameterial, nonlinear wave mixing, perturbation theory",
author = "Sukhorukov, {Andrey A.} and Solntsev, {Alexander S.} and Kruk, {Sergey S.} and Neshev, {Dragomir N.} and Kivshar, {Yuri S.}",
year = "2012",
doi = "10.1063/1.4750102",
language = "English",
isbn = "9780735410848",
series = "AIP Conference Proceedings",
pages = "80--82",
booktitle = "Fifth International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012",
note = "5th International Workshop on Theoretical and Computational Nano-Photonics, TaCoNa-Photonics 2012 ; Conference date: 24-10-2012 Through 26-10-2012",
}