Abstract
A time-domain beam propagation method (BPM) based on a
finite-element scheme is newly formulated for nonlinear optical
propagation analysis. In order to obtain steady-state solutions, a way of
continuous-wave (CW) excitation is also described. The validity of this
method is verified by numerical examples: self-focusing guiding phenomena
and nonlinear gratings. Furthermore, this approach is also applied to
characterizing nonlinear photonic crystal circuits. Specifically, a
grating structure designed to modify the characteristics of light
propagating within a photonic crystal waveguide and a stub-like structure
including nonlinear rods are proposed, and the potential for use as
optical limiting and switching devices is investigated.
© 2004 IEEE
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