New exactly integrable models of self-induced transparency

A. M. Basharov

doi:10.1117/12.676816

11 May 2006 New exactly integrable models of self-induced transparency

A. M. Basharov

Proceedings Volume 6255, ICONO 2005: Nonlinear Space-Time Dynamics; 62550N (2006) https://doi.org/10.1117/12.676816
Event: ICONO 2005, 2005, St. Petersburg, Russian Federation

Abstract

A new physical and mathematical formulation of the pulse evolution problem is proposed based on the inverse scattering transform method and a new spectral problem. The polarization of ultrashort pulse and level degeneracy of atoms are taken into account. The Gel'fand-Levitan-Marchenko equations and soliton solutions are obtained. The change in polarization of colliding solitons is demonstrated.

Citation Download Citation

A. M. Basharov "New exactly integrable models of self-induced transparency", Proc. SPIE 6255, ICONO 2005: Nonlinear Space-Time Dynamics, 62550N (11 May 2006); https://doi.org/10.1117/12.676816

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