Abstract
Two numerical methodologies based on the finite-difference time-domain
(FDTD) technique are formulated and applied to model optical structures with
Raman and Kerr type nonlinearities. The first scheme is based on the
alternating-direction implicit finite-difference time-domain (ADI-FDTD),
while the second one is based on a recently introduced spatially filtered
FDTD method. Both methods are able to extend FDTD time steps beyond the
conventional Courant-Friedrichs-Lewy stability limit. It is demonstrated
that both methods are significantly faster than the standard nonlinear FDTD,
while maintaining its level of accuracy. Their potential as design and
analysis tools for nonlinear periodic structures is demonstrated with the
study of a 1-D problem involving a nonlinear Bragg reflector.
© 2011 IEEE
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