Abstract
In this paper, we review various numerical methods currently used to model nonlinear optical processes in
nanophotonics. Among the different theoretical frameworks that have been used to study nonlinear photonic
structures, we particularly focus on the application of both perturbation theory and coupled-mode theory to the
analysis of complex nonlinear nanophotonic devices. This description is illustrated on several examples of how these
techniques can be used to design photonic-crystal-based nonlinear devices. In addition, in all these examples, we
show that the predictions made by the two mentioned techniques are in a good agreement with the numerical results
obtained from a nonlinear finite-difference-time-domain approach to these problems.
© 2007 IEEE
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