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arXiv:1801.06337 · Physical Review A

Disordered resonant media: Self-induced transparency versus light localization

Denis V. Novitsky

Published Jan 18, 2018• 5 citations
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Abstract

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.

DOI
10.1103/physreva.97.013826

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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.
We consider a one-dimensional photonic crystal embedded in a two-level medium with various degrees of disorder, such that the tail of localized states in the forbidden gap is resonant with self-induced transparency pulses, which can propagate in the absorbing system. We theoretically and numerically predict that the SIT pulse not only is slowed down by the disorder, but, at high scattering strengths, it is trapped by coupling with Anderson states located in proximity of the cavity surface. We develop a perturbative analysis to address the role of the random perturbation on the propagation of a 2π pulse in a two level medium.
Self-induced transparency (SIT) pulses induce a traveling population inversion in two-level atoms. As a rule, the active medium in which the soliton travels has to be homogeneous. Here, we study the effect of a spatially disordered modulation in the refractive index profile that may lead to Anderson localizations. The interplay between the ultrashort SIT pulse, a nonlinear effect, and this kind of disorder-induced mode exhibits intriguing features. Once the SIT pulse is confined in the spatially confined regions, they act as closed cavities for the SIT population inversion. A positive optical feedback mechanism can be thus activated and, as a result, a two-level laserlike emission can be obtained.
We study the effects of dispersion in carrier waves on the properties of soliton self--induced transparency (SIT) in two level media. We found substantial impact of dispersion effects on typical SIT soliton features. For example, the degree of SIT pulse velocity slowing down (acceleration) is determined by the ratio of the incoming pulse frequency over atomic transition frequency - x=ω/ω0x=ω/ω_0x=ω/ω0​. Specifically, an immediate pulse stopping is predicted for absorbing media when pulse duration time exceeds some critical value. In the sharp line limit stopping may emerge only for frequency ratio above unity, while for the inhomogeneously broadened systems it appears irrespective of the value of xxx. Analysis performed on the basis of Mcall\& Hahn \textit{Area theorem} implies that pulse stopping is achieved when Ber's absorption coefficient approaches infinity, that is, pulse energy is fully absorbed in the medium. In the case of amplifying media super-luminal motion is predicted as in the case of resonance. However, there is a lowest value in the frequency ratio below which the pulse velocity tends to the sub-luminal region. These new features of the SIT phenomenon open novel ways on how it may be exploited for the control of electromagnetic wave radiation in two-level media. This may be achieved by varying frequency ratio.