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Propagation of ultrashort light pulses in disordered multilayers is studiedby using numerical simulations in time domain. We consider cases ofinstantaneous and noninstantaneous Kerr nonlinearities of the structurematerials. The competitive nature of disorder and nonlinearity is revealed onthe long and short timescales. We also pay special attention to the effect ofpulse self-trapping in the photonic crystal with relaxing nonlinearity and showthe dependence of this effect on the level of disorder. We believe that theresults reported here will be useful not only in the field of optics but alsofrom the standpoint of the general problem of classical waves propagation innonlinear disordered periodic media.

Pulse propagation in one-dimensional disordered photonic crystals: Interplay of disorder with instantaneous and relaxing nonlinearities