We present an adaptation of the fast Fourier factorization method to the simulation of two-dimensional (2D) photonic crystals with a third-order nonlinearity. The algorithm and its performance are detailed and illustrated via the simulation of a Kerr 2D photonic crystal. A change in the transmission spectrum at high intensity is observed. We explain why the change does not reduce to a translation (redshift) but rather consists in a deformation and why one side of the bandgap is more suited to a switching application than the other one.
© 2006 Optical Society of America
Original Manuscript: July 27, 2005
Revised Manuscript: October 3, 2005
Manuscript Accepted: October 5, 2005
J. J. Bonnefois, Géraldine Guida, Alain Priou, Michel Nevière, and Evgeny Popov, "Simulation of two-dimensional Kerr photonic crystals via fast Fourier factorization," J. Opt. Soc. Am. A 23, 842-847 (2006)