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AIP conference proceedings

Physical mechanisms in coherent on-resonance propagation of two different-wavelength beams in a three-level system

Farrès P. Mattar

Published Jan 1, 1988• 0 citations
Publisher

Abstract

The coherent energy transfer from a strong pump beam at a given frequency to an initially weak probe beam injected at another frequency is reported. This exchange is achieved optimally by matching velocities to maintain maximum pulse overlap throughout the motion. The central role of pump depletion, transverse effects and time‐dependent phase variations in the co‐propagation in a medium is revealed.

DOI
10.1063/1.37411

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The coherent energy transfer from a strong pump beam at a given frequency to an initially weak probe beam injected at another frequency is reported. This exchange is achieved optimally by matching velocities to maintain maximum pulse overlap throughout the motion. The central role of pump depletion, transverse effects and time‐dependent phase variations in the co‐propagation in a medium is revealed.
The coherent energy transfer from a strong pump beam at a given frequency to a weak probe beam initiated by quantum noise at another frequency is reported. Effects of self‐ and cross‐phase modulation were also examined. An optimal energy exchange is maintained in the presence of fluctuations by matching the oscillators strengths to insure maximum pulse overlap throughout the motion. The central role of pump depletion, transverse effects, quantum initiation and time‐ and radial‐dependent phase variations in an asymptotic co‐propagation in a three‐level medium is revealed. An ensemble of statistical calculations is carried out. For most trajectories a stabilization of the pulse area is inhibited. Probe pulse sharpening and pump laser pulse peak retardation along with amplitude dimension, have been observed.
The coherent frequency conversion between on-resonance pump and probe beams is examined in the physical situation where the medium nonlinearity balances the linear diffraction for each transition. Without diffraction neither soliton can occur. The paraxial-Maxwell Bloch formalism is adopted. To achieve optimally the energy transfer the pulse velocities must be equal to maintain maximum overlap throughout the propagation. The sequential evolution of probe soliton then pump soliton is reported in conjunction with pump depletion diffraction rigorously accounted for. Phase diagram of the pump and probe areas exhibit multi-value features.
The coherent frequency conversion between on‐resonance pump and probe beams is examined in the physical situation where the nonlinear gain balances the diffraction for the probe transition. The semiclassical paraxial‐Maxwell‐Bloch formalism is adopted as introduced in propagational studies in two‐level Self‐Induced‐Transparency (SIT)[1]. The probe builds up from an input deterministic seed. The asymptotic stabilization of the probe area is reported in conjunction with pump depletion and diffraction rigorously accounted for. Without diffraction the soliton does not appear. The Laplacian term (which describes transverse coupling) is included.
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.