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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Solitons of nontruncated Maxwell-Bloch equations

Anatoli V. Andreev, V. V. Berendakov

Published May 10, 1996• 1 citation
Publisher

Abstract

The results of the theoretical study and computer simulations on the ultrashort pulse propagation in a medium of the two-level atoms are discussed. We find the solution of the nontruncated Maxwell-Bloch equations corresponding to the selfsimilar pulse propagation. It is shown that these pulses are solitons. We discuss the dependency of the solitary pulse parameters on the incident pulse amplitude, frequency and temporal width.

DOI
10.1117/12.239461

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The results of the theoretical study and computer simulations on the ultrashort pulse propagation in a medium of the two-level atoms are discussed. We find the solution of the nontruncated Maxwell-Bloch equations corresponding to the selfsimilar pulse propagation. It is shown that these pulses are solitons. We discuss the dependency of the solitary pulse parameters on the incident pulse amplitude, frequency and temporal width.
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Exact soliton solutions of a coupled system of Maxwell-Bloch equations are obtained analytically within the inverse scattering transform scheme. The equations describe a light pulse coherently propagating through a mixed ensemble of two-level atoms characterized by two slightly different detuning parameters. The solution illustrates the information about the detailed atomic properties which are impressed on both phase and velocity of the pulse during propagation, with potential applications in high resolution spectroscopy.