Abstract
A rigorous mathematical framework combining temporal coupled-mode theory (CMT) and perturbation theory for modeling wave mixing in resonant systems involving 2D (sheet) materials is developed, expanding the existing literature that focuses on wave mixing in bulk systems [1]. Throughout this work, conductive 2D materials are naturally modeled with a nonlinear surface current term, rigorously implemented in the nonlinear CMT formalism to accurately describe the system response using coefficients calculated after linear finite-element (FEM) simulations. The developed framework is flexible, allowing the systematic incorporation of other nonlinear effects such as the Kerr effect, two photon absorption, and saturable absorption [2], unfolding the complex dynamic behavior of the system, that can also demonstrate optical bistability and limit cycles [1,3].
© 2019 IEEE
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