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Physical Review A

Propagation dynamics of coherence and nonlinear mixing in an ionizing three-level medium

Roberto Buffa, Marco V. Tognetti, M. Anscombe, J. P. Marangos

Published Nov 17, 2005• 6 citations
Publisher

Abstract

We show through modeling the effect of pulse propagation upon the evolution of coherence and nonlinear frequency mixing in an ionizing three-level medium. This work extends earlier studies, in which the coherence dephasing due to photoelectrons was considered, by including the effects of pulse reshaping as the coupled fields propagate through the medium. In this way we establish a realistic model that enables us to predict qualitatively the performance of experimental coherence enhanced frequency mixing schemes.

DOI
10.1103/physreva.72.053811

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We show through modeling the effect of pulse propagation upon the evolution of coherence and nonlinear frequency mixing in an ionizing three-level medium. This work extends earlier studies, in which the coherence dephasing due to photoelectrons was considered, by including the effects of pulse reshaping as the coupled fields propagate through the medium. In this way we establish a realistic model that enables us to predict qualitatively the performance of experimental coherence enhanced frequency mixing schemes.
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The coherent propagation of a pair of matched pulses in a doped two-mode nonlinear dispersive waveguide is investigated, where the dopant is modeled by a V-type three-level system. Relations involving the parameters of the pulses and the propagation medium that allow us to observe the formation of coupled bright solitons are derived. The analytical result is verified by numerically solving the propagation equations together with the evolution of the three-level system. The numerical results show a stable propagation of the pair of pulses corroborating the theoretical result.
A model is presented for the dynamical evolution of superfluorescence from an optically pumped three-level system. The full propagation, transverse, and diffraction effects are taken into account. With the use of a previously developed algorithm, a computational simulation was constructed from this model and results are presented and discussed. In particular, it is shown that the injected coherent pump-pulse initial characteristics, such as on-axis area, temporal and radial width and shape, can have significant deterministic effects on the superfluorescent pulse delay time, peak intensity, temporal width, and shape. Thus, by specifying certain initial properties of the injected pump pulse, the superfluorescent pulse can be shaped and altered. The results predict the conditions under which an injected light pulse of a given frequency can be used to generate, shape, and control a second light pulse of a different frequency via a nonlinear medium, thus demonstrating a new aspect of the phenomenon of light control by light.
Coherent propagation of a circularly polarized pulse which is two-photon quasi-resonant with a medium of multi-level atoms is considered in the adiabatic following limit. The relevant pair of non-linear coupled partial differential equations are solved exactly for arbitrary pulse shapes. The development of the envelope and the phase of the pulse as it propagates through the medium is described analytically. Perturbation theoretical results are shown to apply only for small intensity or small distance of propagation or both. Qualitatively different results apply for higher intensities and longer distances of propagation. These include strong self-phase-modulation effects as well as reshaping of the pulse envelope.
We have studied the temporal compression of laser pulses occurring in a scheme based on the coherent control peculiarities of electromagnetically induced transparency. This work extends earlier model studies, including the effect of Doppler broadening in a real hot medium. For definiteness and consistency of the atomic parameters employed, we have treated a scheme in argon. In this way, we establish a realistic model that enables us to predict quantitatively the performance of laser pulse compression experiments.