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Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain

机译:具有损耗和增益的周期等离子体激元和超材料的非线性耦合模式理论

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摘要

We derive general coupled-mode equations describing the nonlinear interaction of electromagnetic modes in periodic 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 predict novel effects on self- and cross-phase modulation in multilayer nonlinear fishnet metamaterials.
机译:我们推导了一般的耦合模式方程,描述了周期性介质中电磁模式的非线性相互作用以及损耗和增益。我们的方法严格基于洛伦兹互易定理,可应用于广泛的金属介电光子结构,包括等离子波导管和超材料。我们验证我们的一般结果与以前对特定情况的分析一致,并预测多层非线性鱼网超材料对自相位和交叉相位调制的新影响。

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