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European Quantum Electronics Conference (EQEC)

Solitons and transients in media with near dipole-dipole interaction

Oleg Kh Khasanov, Русецкий Григорий Александрович, Olga M. Fedotova, T. V. Smirnova, Anatoly A. Afanas'ev, R. A. Vlasov

Published Nov 15, 2004• 0 citations
Publisher

Abstract

This paper studies soliton regimes of light pulse propagation and transient processes in optically dense media with the near dipole-dipole interaction. It is shown that such an interaction permits the soliton propagation to be realized while the pulse duration is not only less than both irreversible relaxation times T/sub 1/ and T/sub 2/ but also when it falls between T/sub 2/ /spl Lt/ /spl tau//sub p/ /spl Lt/ T/sub 1/.

DOI
10.1109/eqec.2003.1314076

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This paper studies soliton regimes of light pulse propagation and transient processes in optically dense media with the near dipole-dipole interaction. It is shown that such an interaction permits the soliton propagation to be realized while the pulse duration is not only less than both irreversible relaxation times T/sub 1/ and T/sub 2/ but also when it falls between T/sub 2/ /spl Lt/ /spl tau//sub p/ /spl Lt/ T/sub 1/.
Exact single-soliton solutions of the modified system of Maxwell-Bloch equations, in which the dipole-dipole interactions of the atoms of a dense resonant medium are taken into account, are obtained. Two propagation regimes are analyzed: “coherent,” where the pulse duration is much shorter than both relaxation times ( T p ≪ T 1 , T 2 ), and “incoherent,” where the pulse duration falls between the relaxation times ( T 2 ≪ T p ≪ T 1 ). It is predicted, for the first time, that soliton propagation of an ultrashort pulse is possible in a dense resonant absorbing medium in an incoherent interaction regime. The differences between the amplitude and phase characteristics of the solitons considered and the corresponding characteristics of the solitons for McCall-Hahn self-induced transparency are noted.
The spatiotemporal dynamics of a light pulse injected into a dense, resonant medium under near-dipole–dipole interaction conditions is considered. Two regimes for soliton formation are investigated numerically and analytically. The first one occurs if the pulses are much shorter than both relaxation times. In the second, the pulse duration falls between those of the relaxation times and may be regarded as an incoherent one. In the latter case there are conditions in which the dephasing process is suppressed by dipole–dipole interatomic interaction. Not only are one-soliton solutions found but also a powerful pulse splitting into separate solitons is revealed. The regions in which solitons are found have been estimated. The possibility of finding incoherent solitons has been analyzed, with group-velocity dispersion and diffraction of tilted pulses, which are shown to make soliton formation easier, taken into account.
The propagation of short light pulses in a three-level medium with reverse saturable absorption taking into account relaxation is considered. It is shown that in such a medium soliton-like pulses of constant duration can propagate. The areas in the five-dimensional parameter space in which such pulses can exist are determined by numerical methods. The parameters of the problem are the characteristics of the medium – the relaxation time, the ratio of the absorption cross sections of the first excited and ground states and the initial transmittance, as well as the characteristics of the pulse – the duration and intensity.
The dynamics of pulses with durations comparable to the inverse transition frequency that propagate in an optical medium is studied in terms of two integrable systems of Maxwell-Bloch equations. The first model describes the field interaction with a nondegenerate medium with a permanent dipole moment and permanent external pumping. A general formula is derived for the N -soliton solution. Particular solutions are used as examples to investigate the effect of permanent dipole moment and pumping on the soliton dynamics. The second model describes the interaction between two-component electric-field pulses and a two-level degenerate medium with permanent upper-level pumping. For different initial magnetic-sublevel populations, soliton solutions are used as examples to show that pumping causes a change in polarization dynamics. A two-soliton solution is used to analyze the interaction of solitons in a two-level medium with external pumping.