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International Conference Laser Optics (ICLO)

Self-induced-transparency pulses in disordered resonant media

Denis V. Novitsky

Published Jun 1, 2018• 0 citations
Publisher

Abstract

A concept of disordered resonant media, which are characterized by random change of the density of active particles along the light propagation direction, is proposed. The effect of disorder on short pulse propagation is analyzed using numerical simulations of the Maxwell-Bloch equations. The transition between self-induced-transparency and localization regimes is revealed as well as disorder-induced inelasticity of pulse collisions.

DOI
10.1109/lo.2018.8435679

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A concept of disordered resonant media, which are characterized by random change of the density of active particles along the light propagation direction, is proposed. The effect of disorder on short pulse propagation is analyzed using numerical simulations of the Maxwell-Bloch equations. The transition between self-induced-transparency and localization regimes is revealed as well as disorder-induced inelasticity of pulse collisions.
We propose a concept of disordered resonant media, which are characterized by random variations of their parameters along the light propagation direction. In particular, a simple model of disorder considered in the paper implies random change of the density of active particles (two-level atoms). Within this model, the effect of disorder on self-induced transparency (SIT) is analyzed using numerical simulations of light pulse propagation through the medium. The transition from the SIT to localization regime is revealed as well as its dependence on the disorder level, atom density, medium thickness, and period of random variations.
Exact single-soliton solutions of the modified system of Maxwell-Bloch equations, in which the dipole-dipole interactions of the atoms of a dense resonant medium are taken into account, are obtained. Two propagation regimes are analyzed: “coherent,” where the pulse duration is much shorter than both relaxation times ( T p ≪ T 1 , T 2 ), and “incoherent,” where the pulse duration falls between the relaxation times ( T 2 ≪ T p ≪ T 1 ). It is predicted, for the first time, that soliton propagation of an ultrashort pulse is possible in a dense resonant absorbing medium in an incoherent interaction regime. The differences between the amplitude and phase characteristics of the solitons considered and the corresponding characteristics of the solitons for McCall-Hahn self-induced transparency are noted.
This paper presents the analytic solutions of self-induced transparency with transverse variations in resonant media by a self-consistent power series approximation method. We solve the Maxwell-Bloch equations by retaining all integral terms from the inhomogeneous broadening and the second-derivative terms with respect to distance and time. The lowest-order approximation is presented in detail. We discuss the characteristics of the distortionless pulses that propagate in an inhomogeneously broadening medium. It is shown that the group velocity and peak power of the self-induced transparency solitons could be represented in terms of the pulse width, the angle between phase velocity and group velocity, and the basic material parameters of the resonant medium. The chirping of the soliton is also discussed.