For citation:
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. DOI: 10.18500/0869-6632-1995-3-6-112-119
Self-induced - transparency soliton propagation under the influence of far-resonant transition line
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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