We present a numerical study of a two dimensional all- optical switching device which consists of two crossed waveguides and a nonlinear photonic band{gap structure in the center. The switching mechanism is based on a dynamic shift of the photonic band edge by means of a strong pump pulse and is modeled on the basis of a two dimensional finite volume time domain method. With our arrangement we find a pronounced optical switching effect in which due to the cross-waveguide geometry the overlay of the probe beam by a pump pulse is significantly reduced.
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Scholz et al. (1998) studied this question.
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