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Quantum Electronics

Transient concurrent interaction of two optical waves in an absorbing gas for an arbitrary detuning from a resonance

Anatolii Petrovich Sukhorukov, V N Titov, O E Tret'yakov

Published Jun 30, 1995• 0 citations
Publisher

Abstract

A two-level system was used in a computer simulation of a transient concurrent interaction of two optical pulses of duration not exceeding the VT relaxation time. The interaction was assumed to take place in a resonantly absorbing gas and the case with feedback was considered. A study was made of the influence of the detuning of the laser radiation frequency from the centre of an absorption line on the dynamics of the light-induced perturbation of the absorbance and on energy exchange between the two waves.

DOI
10.1070/qe1995v025n06abeh000416

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A two-level system was used in a computer simulation of a transient concurrent interaction of two optical pulses of duration not exceeding the VT relaxation time. The interaction was assumed to take place in a resonantly absorbing gas and the case with feedback was considered. A study was made of the influence of the detuning of the laser radiation frequency from the centre of an absorption line on the dynamics of the light-induced perturbation of the absorbance and on energy exchange between the two waves.
An analysis is made of the influence of transit effects on the profile of a two-absorption line of a gas interacting with a standing wave field. It is shown that in the case of a confined light beam the resonance width is governed by the transit times of atoms across the beam. When two light beams separated by a large distance are present, there is an additional resonance line of width which is the reciprocal of the transit time between the beams. This resonance is analyzed allowing for the relaxation of atomic levels.
Spatio-temporal dynamics of two short laser pulses propagating in an absorbing medium, which consists of one- and two-photon resonant (Lambda) -atoms, is investigated in the adiabatic approximation. We give an analytical solution and compare it with numerical simulations. It is shown that pulses may propagate in a medium, whose thickness is considerably greater than the length of the linear absorption of a single weak probe wave. Finally, full transfer of the probe pulse energy into the coupling pulse takes place. A vector model of the adiabatic interaction of two pulses with three-level atom is proposed.
New resonances are predicted in the interaction of a two-level system (TLS) with laser radiation. These resonances are related to the nonlinear coupling between the TLS and Brillouin enhanced acoustic waves driven by the laser radiation. Resonances in phase conjugation by four-wave mixing driven by stimulated Brillouin scattering (SBS) of laser radiation in fluids have been studied elsewhere.1,2 The coupling of such resonances to the TLS interaction with laser radiation influences the spectral behavior of the TLS. Such resonances appear in addition to the Rabi sidebands. The inclusion of these resonances should have important practical implications in processes that depend on accurate spectral behavior such as in the fields of laser spectroscopy, four-wave mixing, and phase conjugation. Here the new resonances are demonstrated for two mutually detuned counterpropagating laser beams interacting with a TLS at frequencies that may be detuned from the TLS spectral line center. The nonlinear Maxwell Bloch equations coupled to the acoustic wave equation are solved numerically. Damping due to viscosity is taken into account. Wave depletion is included and no perturbation theory approximations are assumed in the numerical solution of these equations.
Numerical integration of a system of equations describing the coherent interaction between radiation and a two-level medium (e.g., a semiconductor) is employed to analyze the effect of relaxation processes on the energy characteristics and dynamics of radiation pulses of duration τpΣ T '2 (T '2 is the irreversible polarization relaxation time). It is shown that the interaction of these pulses with the medium is strongly dependent on their area on entry to the medium and the attenuation of the pulses as a result of relaxation processes decreases with increasing pulse input power. This may be utilized for probing the medium in the resonant absorption range for short polarization relaxation times, in solution 42.65.Gv.
The time-dependent theory of the absorption of three light pulses with an arbitrary duration in ladder-type four-level systems is proposed. The pulses are in resonance with the corresponding transitions. By using the time-dependent perturbation theory the spectral and temporal behaviour of the probability that the fourth level is excited at the moment t is found. We calculate and analyse the cases where the frequencies of the maxima of the two of three light pulses are fixed and the maximum of the remaining pules varies. Widths of possible absorption lines depend on different parameters. On the whole, three or four lines may exist, one of them corresponds to coherent contribution and the others do not.