Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Soviet Journal of Quantum Electronics

Nonlinear amplification in the case of resonant optical pumping of a three-level medium

В. П. Киселев, Vladimir V. Likhanskii, G V Soldak

Published Jan 31, 1988• 0 citations
Publisher

Abstract

The results are given of analytic and numerical investigations of the amplification of laser radiation under conditions of strong saturation of resonant transitions induced by optical pumping. Wave-like solutions of propagation of light pulses in a three-level medium are found. Characteristic dependences of the radiation conversion length on the parameters of the radiation and medium are determined.

DOI
10.1070/qe1988v018n01abeh011202

Related papers

Investigation of the amplification of ultrashort light pulses in three-level resonant systems

Leonid A Bol'shov, Nickolai N. Elkin, T. K. Kirichenko +2 more

An analysis is made of simultaneous propagation of pulses of different frequencies in many-level resonantly amplifying and absorbing media. Analytic expressions are obtained for the envelopes of fields in the case of propagation of two-frequency radiation in a three-level medium with a common lower level. Self-similar equations are obtained for the radiation propagating in an amplifying medium; in certain special cases, these equations are identical with those considered earlier.

Soviet Journal of Quantum Electronics•Jul 31, 1982•5 citations

Scattering of light by an intense saturating pulse in a resonance medium

V. I. Rupasov

A linear response of a resonant medium to a weak electromagnetic field is studied in the case when a medium is a gas of three-level atoms subjected to a strong saturating pulse. A noncoherent intense pulse and a coherent 2π pulse (of the kind encountered in the theory of self-induced transparency) are considered. The expressions obtained are used to study the problem of the spectrum of the reflection of light by a pulse moving in a medium. An analysis is made of the possibility of using the Doppler effect, which occurs when light is reflected by a moving pulse, in an investigation of the characteristics of pulse propagation, determination of its parameters, and study of the nonlinear characteristics of the medium itself. Possibilities of experimental observation of the predicted effects are discussed, particularly the possibility of conversion of an electromagnetic radiation spectrum.

Soviet Journal of Quantum Electronics•Nov 30, 1982•2 citations

Resonator-free amplification of spontaneous radiation under recombination pumping conditions

A. L. Belov, F. V. Bunkin, Sergei I Yakovlenko

A one-dimensional radiative transfer model is used in a study of the amplification of spontaneous radiation as a result of a population-inverted ionic transition pumped by recombination. The problem of such transfer is solved analytically in the steady-state case and it is shown that the intensities of the radiation emitted in both directions are the same irrespective of the distribution of the unsaturated gain over the length of the active medium. Numerical calculations are reported of the stage of establishment of light fluxes. It is shown that during this transient stage a nonlinear interaction between opposite light fluxes is responsible for nonmonotonic behavior of the output radiation intensity. The problem of amplification in a traveling pump wave is treated analytically.

Soviet Journal of Quantum Electronics•Jan 31, 1987•0 citations

Phase-controlled transformation of two-frequency laser radiation in resonant three-level Lambda-medium

Dmitry V. Kosachiov

The paper presents a theoretical investigation of propagation of two frequency laser radiation in resonant (Lambda) -medium driven by a radiofrequency field on the transition between the two bottom levels. It is established that there is dramatic dependence of the character of propagation of radiation along the medium on phase and amplitude of the radiofield and on initial phases and intensities of the optical fields. We show that both amplification of one wave at the expense of the energy of another wave and transparency of the medium produced by population trapping can take place.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 10, 1996•0 citations

The conditions for the propagation of soliton-like pulses in nonlinear media with reverse saturable absorption

Rimma Sh. Zatrudina, Vladislav Yu. Gribkov

The propagation of short light pulses in a three-level medium with reverse saturable absorption taking into account relaxation is considered. It is shown that in such a medium soliton-like pulses of constant duration can propagate. The areas in the five-dimensional parameter space in which such pulses can exist are determined by numerical methods. The parameters of the problem are the characteristics of the medium – the relaxation time, the ratio of the absorption cross sections of the first excited and ground states and the initial transmittance, as well as the characteristics of the pulse – the duration and intensity.

Saratov Fall Meeting: Laser Physics, Photonic Technologies, and Molecular Modeling•Jun 3, 2019•0 citations

Four-wave mixing in resonantly amplifying media in the inversion saturation regime

Yu F Kir'yanov, Кочемасов Геннадий Григорьевич, S M Martynova +1 more

The two-level approximation is used to make a theoretical analysis of four-wave mixing in the active medium of a laser whose radiation wavefront is to be reversed. Explicit allowance is made for changes in the amplitudes of the pump waves as a result of their amplification during propagation in the active medium. Both the completely degenerate case, when the frequencies of all four waves are the same, and the case of a small detuning of the signal wave frequency relative to the pump waves are considered. For the completely degenerate case a system of reduced equations allowing for saturation of the inversion was solved by computer using an iterative method. It was found that, under optimum conditions in the saturation regime, the power of the wave reflected from a four-wave mixer may be higher than that of the signal wave.

Soviet Journal of Quantum Electronics•Aug 31, 1981•4 citations
The results are given of analytic and numerical investigations of the amplification of laser radiation under conditions of strong saturation of resonant transitions induced by optical pumping. Wave-like solutions of propagation of light pulses in a three-level medium are found. Characteristic dependences of the radiation conversion length on the parameters of the radiation and medium are determined.
A linear response of a resonant medium to a weak electromagnetic field is studied in the case when a medium is a gas of three-level atoms subjected to a strong saturating pulse. A noncoherent intense pulse and a coherent 2π pulse (of the kind encountered in the theory of self-induced transparency) are considered. The expressions obtained are used to study the problem of the spectrum of the reflection of light by a pulse moving in a medium. An analysis is made of the possibility of using the Doppler effect, which occurs when light is reflected by a moving pulse, in an investigation of the characteristics of pulse propagation, determination of its parameters, and study of the nonlinear characteristics of the medium itself. Possibilities of experimental observation of the predicted effects are discussed, particularly the possibility of conversion of an electromagnetic radiation spectrum.
A one-dimensional radiative transfer model is used in a study of the amplification of spontaneous radiation as a result of a population-inverted ionic transition pumped by recombination. The problem of such transfer is solved analytically in the steady-state case and it is shown that the intensities of the radiation emitted in both directions are the same irrespective of the distribution of the unsaturated gain over the length of the active medium. Numerical calculations are reported of the stage of establishment of light fluxes. It is shown that during this transient stage a nonlinear interaction between opposite light fluxes is responsible for nonmonotonic behavior of the output radiation intensity. The problem of amplification in a traveling pump wave is treated analytically.
The paper presents a theoretical investigation of propagation of two frequency laser radiation in resonant (Lambda) -medium driven by a radiofrequency field on the transition between the two bottom levels. It is established that there is dramatic dependence of the character of propagation of radiation along the medium on phase and amplitude of the radiofield and on initial phases and intensities of the optical fields. We show that both amplification of one wave at the expense of the energy of another wave and transparency of the medium produced by population trapping can take place.
The propagation of short light pulses in a three-level medium with reverse saturable absorption taking into account relaxation is considered. It is shown that in such a medium soliton-like pulses of constant duration can propagate. The areas in the five-dimensional parameter space in which such pulses can exist are determined by numerical methods. The parameters of the problem are the characteristics of the medium – the relaxation time, the ratio of the absorption cross sections of the first excited and ground states and the initial transmittance, as well as the characteristics of the pulse – the duration and intensity.
The two-level approximation is used to make a theoretical analysis of four-wave mixing in the active medium of a laser whose radiation wavefront is to be reversed. Explicit allowance is made for changes in the amplitudes of the pump waves as a result of their amplification during propagation in the active medium. Both the completely degenerate case, when the frequencies of all four waves are the same, and the case of a small detuning of the signal wave frequency relative to the pump waves are considered. For the completely degenerate case a system of reduced equations allowing for saturation of the inversion was solved by computer using an iterative method. It was found that, under optimum conditions in the saturation regime, the power of the wave reflected from a four-wave mixer may be higher than that of the signal wave.