Simulation of dynamic interaction of ultrashort pulses with nonlinear band-gap structure by direct time integration methods

The effective general approach for initialization of explicit schemes of direct time integration of hyperbolic differential equations is presented and applied to simulation of optical pulse reflection from 1D nonhomogeneous media. On the basis of the algorithm developed, ultrashort pulse compression occurring for nonlinear interaction in band-gap structures with deep modulation of optical parameters is investigated.