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Journal of the Optical Society of America B

Control of soliton interaction in a coherently excited three-level system embedded in a nonlinear waveguide

E. J. S. Fonseca, Solange Bessa Cavalcanti, J. Miguel Hickmann

Published Mar 1, 2002• 3 citations
Publisher

Abstract

We have investigated the interaction between a pair of solitons that originate from the breakup of a high-order soliton propagating through a cylindrical waveguide in the presence of three-level resonance associated with a dopant. We found that one can control the nature of this interaction by varying the initial intensity ratio and the overlap between the pump and the signal from which the pair originated.

DOI
10.1364/josab.19.000492

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We have investigated the interaction between a pair of solitons that originate from the breakup of a high-order soliton propagating through a cylindrical waveguide in the presence of three-level resonance associated with a dopant. We found that one can control the nature of this interaction by varying the initial intensity ratio and the overlap between the pump and the signal from which the pair originated.
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.
The simultaneous propagation of two optical pulses through a doped nonlinear dispersive medium modelled by a resonant three-level system was investigated numerically, within the framework of a pair of coupled extended nonlinear Schrödinger equations. These included the contribution of the dopant resonances whose dynamics is governed by Bloch equations. In this work, we review the interesting possibilities on the manipulation of fields such as cloning, breakup and soliton interactions, that the combination of coherent population trapping with nonlinear dispersive media offers.
We report the coherent propagation of optical pulses through a three-level atomic system embedded in a nonlinear dispersive waveguide. We treat the case where an initially chirped soliton in resonance with the pump transition propagates together with a seed without chirp in resonance with the Stokes transition. It is found that the initial chirp is suppressed during the soliton frequency conversion, demonstrating the principle of a frequency converter that produces chirp-free soliton pulses. Numerical solutions of the complete equation set describing our system corroborate our analytical result.