Single- and Multi-Channel Nonlinear Phenomena in Resonant Structures Comprising Graphene

Graphene exhibits high third-order nonlinearity in both THz and NIR regimes. Here, we consider single- and multi-channel nonlinear phenomena in resonators comprising graphene to exploit its high nonlinearity. Specifically, we study optical bistability in the NIR with a graphene-covered silicon slot microring resonator and degenerate four-wave mixing in the THz regime with a graphene ribbon resonator. For calculating the nonlinear response, we employ a recently developed perturbation theory/coupled mode theory framework which is both efficient and accurate. We find low power requirements and high conversion efficiencies, highlighting graphene's potential for nonlinear applications.