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Journal of Experimental and Theoretical Physics

Amplification of extremely short pulses in optical media

Alexander A. Zabolotskii

Published May 1, 2002• 8 citations

Abstract

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.

DOI: 10.1134/1.1484983

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Amplification of electromagnetic field pulses approximately one cycle in duration in multilevel media with an effective permanent dipole moment is studied theoretically without application of the approximation of slowly varying envelopes for the case of unidirectional propagation of the radiation. For three-level and quasi-two-level media, it is shown that the set of Maxwell-Schrödinger equations can be reduced to an integrable set of equations for an effective two-level medium. The presence of an (effective) permanent dipole moment of the medium was found to lead to new specific features of the amplification and control of the dynamics of field pulses.