Propagation and interaction of extremely short electromagnetic pulses in quadratic-nonlinear medium

Abstract

Propagation of extremely short unipolar pulses of electromagnetic waves was considered in framework of the anharmonic oscillator model. For quasi-harmonic waves, the model leads to the description of quadratic parametric processes, e.g., sum-frequency and difference-frequency mixings. Unipolar steady state pulse was obtained by an analytical method. In numerical simulations it was shown that these steady state pulses are stable under collisions. However, these pulses are not solitons in the strict sense.