Soliton interaction in a nonlinear waveguide in the presence of resonances

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jul;64(1 Pt 2):016610. doi: 10.1103/PhysRevE.64.016610. Epub 2001 Jun 25.

Abstract

The simultaneous propagation of two optical pulses through a nonlinear dispersive medium composed of a resonant three-level system is investigated. By choosing a soliton of area 4 pi and order N=2 at the pump frequency, together with a weaker pulse with a sech profile at the signal frequency, we show that the pump soliton breaks up into a pair of solitary waves which are cloned to the signal frequency. Due to a combination of coherent population trapping and nonlinear dispersive effects, the pair interacts in a repulsive fashion so that the taller wave travels faster than the shorter one.