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19 April 2024
 
  » arxiv » 1309.2807

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Nonlinear coupled-mode theory for periodic waveguides and metamaterials with loss and gain
Andrey A. Sukhorukov ; Alexander S. Solntsev ; Sergey S. Kruk ; Dragomir N. Neshev ; Yuri S. Kivshar ;
Date 11 Sep 2013
AbstractWe derive general coupled-mode equations describing the nonlinear interaction of electromagnetic modes in media with loss and gain. Our approach is rigorously based on the Lorentz reciprocity theorem, and it can be applied to a broad range of metal-dielectric photonic structures, including plasmonic waveguides and metamaterials. We verify that our general results agree with the previous analysis of particular cases, and we present novel results on self- and cross-phase modulation in multi-layer nonlinear fishnet metamaterials.
Source arXiv, 1309.2807
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