META 2021, META'12

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Efficient Frequency-Domain Method for Analyzing Optical Bistability in Photonic Crystal Cavities
Lijun Yuan, Ya Yan Lu

Last modified: 2012-02-01


An efficient numerical method is developed for analyzing optical bistability in two-dimensional photonic crystal cavities with a Kerr nonlinearity, where the governing equation in the frequency-domain is a nonlinear Helmholtz equation. The method relies on the fact that the nonlinear effect is localized around the cavity and takes advantage of the many identical unit cells of the photonic crystal by computing the Dirichlet-to-Neumann operators of the unit cells.


Photonic crystals; Nonlinear optics; Numerical methods