Nonlinear Phenomena in Complex Systems, 2016, Vol.19, No.2, pp. 135-146

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2016, Vol.19, No.2, pp.135-146

Propagation and Interaction of Ultrashort Light Pulses in Nonlinear Media: Numerical Solution of Maxwell Equations
I. F. Guenther and O. G. Romanov

Finite-difference time-domain method for numerical solution of Maxwell equations has been applied to the problems of propagation and interaction of ultrashort light pulses in the media with linear dispersion and kerr-like nonlinearity. The evolution of temporal and spectral structures of femtosecond laser pulses has been analyzed in the modes of selfand cross-phase modulation, formation of shock waves, and soliton-like temporal pulses. Interaction of two ultrashort laser pulses in nonlinear media has been studied for the case of collinear propagation. The peculiarities of transformation of spatial-temporal structure of probe pulse have been analyzed numerically in the regime of its reflection from the pump pulse.

Key words: ultrashort light pulses, Maxwell equations, numerical modeling, FDTD method

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