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Kozlov V. V., Fradkin E. E. Self-induced - transparency soliton propagation under the influence of far-resonant transition line. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 6, pp. 112-119.

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Language: 
Russian
Article type: 
Article
UDC: 
535.2:621.373.8

Self-induced - transparency soliton propagation under the influence of far-resonant transition line

Autors: 
Kozlov Viktor Viktorovich, Saint Petersburg State University
Fradkin Evald Evseevich, Saint Petersburg State University
Abstract: 

Theoretical research of propagation effect of ultrashort optical pulse under conditions of coherent interaction with two resonant transitions simultaneously is presented. One of the transitions is tuned in exact resonance with pulse carrier frequency; the other is distanced much more than spectral pulse width, thus the adiabatic following approximation may be applied. Interaction between the pulse and far-resonant transition is described by wave equation with nonlinear index of refraction in the form of Lorentz function for field amplitude. This wave equation is solved together with Bloch equations for the exact resonant transition. The solution in the form of stationary phase-modulated pulse is obtained, and 2π-pulse of self-induced - transparency is the special case of this solution. The obtained solution has a square under pulse envelope less than 2π, and with increasing of far-resonant transition absorption coefficient the pulse square decreases. The effect can be used for reducing of the transparency threshold of the resonant medium below π

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Acknowledgments: 
This work was partially supported by the Russian Foundation for Basic Research, grant 95-02-055 76a. The work of V. V. Kozlov was also made possible by a scholarship from the Royal Swedish Academy of Sciences and was carried out within the framework of the research program of the International Center for Fundamental Physics in Moscow. V. V. Kozlov also thanks the International Science Foundation (subprogram "Soros graduate students"), the St. Petersburg mayor's office and the Russian Presidential Foundation for financial support.
Reference: 

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Received: 
21.04.1995
Accepted: 
31.07.1995
Published: 
21.11.1996