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Soviet Journal of Quantum Electronics

Spectral characteristics of light wave reversal in a nondegenerate four-wave interaction in a resonant medium

Pavel A Apanasevich, Anatolii A Afanas'ev, С. П. Жвавый

Published Feb 28, 1983• 0 citations
Publisher

Abstract

An investigation is made of wavefront reversal of optical radiation in a nondegenerate four-wave interaction in a resonant medium. It is shown that for a pump intensity comparable with the saturation intensity of the absorption line of the resonant medium, the reversed wave spectrum has two side peaks positioned symmetrically relative to the central peak which corresponds to a degenerate interaction. These side peaks are attributable to regions of negative absorption (amplification) of weak radiation by the resonant medium situated in a high-power field of opposite pump waves. The dependences of the magnitudes and positions of these peaks on the pump intensity can be used to control the spectral and energy characteristics of the reflected radiation. The conditions for self-excitation of a reversing system based on resonant four-wave interaction are determined. In particular, the ranges of the pump intensity and the optical density of the resonant medium in which self-excitation of the reversing system may occur, are determined for a degenerate interaction.

DOI
10.1070/qe1983v013n02abeh004039

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An investigation is made of wavefront reversal of optical radiation in a nondegenerate four-wave interaction in a resonant medium. It is shown that for a pump intensity comparable with the saturation intensity of the absorption line of the resonant medium, the reversed wave spectrum has two side peaks positioned symmetrically relative to the central peak which corresponds to a degenerate interaction. These side peaks are attributable to regions of negative absorption (amplification) of weak radiation by the resonant medium situated in a high-power field of opposite pump waves. The dependences of the magnitudes and positions of these peaks on the pump intensity can be used to control the spectral and energy characteristics of the reflected radiation. The conditions for self-excitation of a reversing system based on resonant four-wave interaction are determined. In particular, the ranges of the pump intensity and the optical density of the resonant medium in which self-excitation of the reversing system may occur, are determined for a degenerate interaction.
A theoretical analysis is made of the efficiency of wavefront reversal under conditions of a degenerate form of the four-wave interaction in a resonantly absorbing (amplifying) medium allowing for changes in the pump waves as a result of their natural resonant absorption (amplification). The coefficient of reflection into a reversed wave is obtained as a function of the optical thickness of a layer of the medium, the boundary values of the pump wave intensity, and the shift of the field frequency from the line center. The optimal values of these parameters and the corresponding maximum reflection coefficient are determined.
A theoretical investigation is made of the influence of the asymmetry of the intensities of pump waves on the spectrum of weak radiation participating in a nondegenerate four-wave interaction in a resonant medium with a homogeneously broadened absorption line. It is shown that a difference between the intensities of pump waves results in additional modulation of the spectrum of reflected and transmitted waves. In particular, an increase in the asymmetry of the pump wave intensities increases the phase mismatch between the waves and reduces the central maximum in the weak radiation spectrum. When the difference between the intensities of the pump waves becomes sufficiently large, this central maximum of the reflected radiation disappears completely and the side maxima acquire a doublet structure. It is shown that the position of the maxima in the reflected radiation spectrum corresponds exactly to the minima of the phase matching between the waves. An analysis is made of the characteristics of a reflecting narrow-band optical filter based on a nondegenerate four-wave interaction in a resonant medium.
A wavefront reversal system is proposed for high-power optical radiation. This system is based on a resonant four-wave interaction without recourse to external pump waves. Stimulated scattering of the wave being reversed in a resonant medium placed inside a resonator creates two opposite pump waves and a parametric interaction between them generates reversed radiation. The efficiency of such self-reversal is comparable with the efficiency of conventional wavefront reversal as a result of a four-wave interaction in nonresonant media with a phase nonlinearity and it may reach 10 −3 .
Equations describing a transient degenerate four-wave interaction in a resonant medium are derived and solved numerically. The approximation of a "following" nonlinear polarization state is used to determine the range of values of the parameters of the medium and the radiation field in which the efficiency of a transient four-wave interaction is higher than that of the steady-state process. It is found that amplification of weak radiation as a result of transient energy exchange can only be achieved in the four-wave interaction for different pump wave intensities.
A theoretical analysis is made of wavefront reversal which is not sensitive to the optical quality of the nonlinear wavefront-reversing medium when complex-conjugate reference waves are formed spontaneously. An investigation is made of the linear and nonlinear stages of reversed wave generation in various nonlinear media using feedback in degenerate and nondegenerate four-wave interaction. It is shown that in nonamplifying nonlinear media this method can only be achieved by additional amplification of the radiation reflected from the nonlinear medium.
The representation of irreducible tensor operators is used to develop a theory of wavefront reversal (WFR) in the absence of saturation effects. This theory deals with arbitrarily polarized waves in a two-level resonant medium having arbitrary angular momenta. It is shown that there are three different physical reversal mechanisms associated with a nonuniform population and with the coherence of the magnetic sublevels in the field. An investigation is made of the influence of the decay times of the polarization moments of the system (the total population, orientation, alignment) on WFR. In particular, it is shown that, subject to specific relationships between the decay times, new collision-induced reversal processes can occur in the presence of deorienting collisions. An investigation is made of the spectral composition of the reflection coefficient of the reversed wave and it is shown that there are various spectral ranges of efficient reversal which in general depend on the polarizations of the interacting waves.