Sukhorukov, Andrey; Solntsev, Alexander; Kruk, Sergey; Neshev, Dragomir; Kivshar, Yuri
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...[Show more]
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