Abstract
A simple and intuitive TLM algorithm has been developed to model nonlinear optical phenomena in photonic bandgap structures such as fibre Bragg gratings. The method is used to simulate periodic nonlinear media having a Kerr nonlinearity. Many phenomena occuring in these devices, such as bistable switching, soliton propagation and limiting, are modelled and discussed. The numerical time-domain approach gives valuable insight into the behaviour of these devices.
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