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

Interaction of two plane waves traveling in a nonlinear amplifying medium

Tatiana I. Kuznetsova

Published Apr 30, 1982• 0 citations
Publisher

Abstract

A theoretical study is made of the resonant amplification of two plane waves propagating at a small angle relative to one another. A system of equations describing the interaction between the waves in the case of saturation of the resonant transition is derived and solved analytically. The difference between the ratios of the wave intensities at the input and ouput of such an amplifier is discussed.

DOI
10.1070/qe1982v012n04abeh012234

Related papers

Interaction between counterpropagating spatially modulated beams in a nonlinear medium

Tatiana I. Kuznetsova, D. Yu. Kuznetsov

An investigation is made of the resonant amplification of two counterpropagating monochromatic beams having pseudorandom spatial modulation. A system of equations describing the change in the average intensities of the beams in the direction of propagation is derived and solved.

Soviet Journal of Quantum Electronics•Nov 30, 1984•0 citations

Interaction of a spatially modulated wave of complex structure with a plane wave in a quantum amplifier

Tatiana I. Kuznetsova, D. Yu. Kuznetsov

A theoretical investigation is made of conversion (in an amplifier) of the image of a signal consisting of a wave with a pseudorandom transverse structure and a plane wave. Equations are obtained for the description of the mutual influence of these waves under saturation conditions. The results of calculations demonstrate a considerable change in the ratio of the intensities of these waves as a result of amplification.

Soviet Journal of Quantum Electronics•Aug 31, 1981•1 citation

Pulse shortening in a nonlinear amplifier

V. E. Brazovskii, N. V. Brazovskaya

An analysis is made of the interaction of radiation with a two-level medium at a high particle density. An explicit allowance is made in the interaction Hamiltonian for the interaction between dipoles induced by a resonance field. A semiclassical description is used to obtain a system of equations describing the propagation of a pulse in the active medium. The equations contain nonlinear terms allowing for the interaction in question. An approximate solution of the equations is obtained for the case of amplification of a weak noncoherent pulse describing pulse compression in the amplifying medium. The theory is compared with experimental results.

Soviet Journal of Quantum Electronics•Jul 31, 1986•1 citation

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

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

Propagation of Intense Coherent Light Waves in Resonant Media

B. R. Mollow

The propagation of a strong coherent "pump" wave traveling through a resonant medium is discussed. The medium is assumed to consist of identical stationary atoms, and the pump-wave frequency is assumed to coincide exactly with the resonance frequency for transitions between a particular pair of atomic states. A previously developed theory of the response of a strongly driven atom to a weak nearly resonant "signal" field is used to deduce the existence of a coupling between any two waves travelling parallel to the pump wave whose (nearly equal) frequencies sum to twice the pump-wave frequency. In the limit of very intense (highly saturating) pump fields, the coupling between the two waves of nearby frequencies leads to amplification of both waves if their frequencies lie within an interval about the pump-wave frequency equal to the Rabi frequency of population inversion. The basic process, which is roughly described by travelling-wave parametric-amplifier equations of motion, consists of the absorption of two pump-field photons followed by their emission at different nearby frequencies, and thus implies a frequency instability of the initially coherent pump wave.

Physical Review A•Apr 1, 1973•24 citations
A theoretical study is made of the resonant amplification of two plane waves propagating at a small angle relative to one another. A system of equations describing the interaction between the waves in the case of saturation of the resonant transition is derived and solved analytically. The difference between the ratios of the wave intensities at the input and ouput of such an amplifier is discussed.
An analysis is made of the interaction of radiation with a two-level medium at a high particle density. An explicit allowance is made in the interaction Hamiltonian for the interaction between dipoles induced by a resonance field. A semiclassical description is used to obtain a system of equations describing the propagation of a pulse in the active medium. The equations contain nonlinear terms allowing for the interaction in question. An approximate solution of the equations is obtained for the case of amplification of a weak noncoherent pulse describing pulse compression in the amplifying medium. The theory is compared with experimental results.
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.
The propagation of a strong coherent "pump" wave traveling through a resonant medium is discussed. The medium is assumed to consist of identical stationary atoms, and the pump-wave frequency is assumed to coincide exactly with the resonance frequency for transitions between a particular pair of atomic states. A previously developed theory of the response of a strongly driven atom to a weak nearly resonant "signal" field is used to deduce the existence of a coupling between any two waves travelling parallel to the pump wave whose (nearly equal) frequencies sum to twice the pump-wave frequency. In the limit of very intense (highly saturating) pump fields, the coupling between the two waves of nearby frequencies leads to amplification of both waves if their frequencies lie within an interval about the pump-wave frequency equal to the Rabi frequency of population inversion. The basic process, which is roughly described by travelling-wave parametric-amplifier equations of motion, consists of the absorption of two pump-field photons followed by their emission at different nearby frequencies, and thus implies a frequency instability of the initially coherent pump wave.