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Soviet Journal of Quantum Electronics

Accuracy of wavefront reversal in stimulated scattering with a frequency and angular shift

Boris Ya Zel'dovich, M A Orlova

Published Sep 30, 1982• 0 citations
Publisher

Abstract

An analysis is made of distortions of the reversed wave in stimulated backscattering of light (backward WFR) caused by frequency and angular shifts of the scattered wave relative to the pump wave. The scattered field is expressed in the form of a series in terms of orthogonalized specklons comprising the reversed pump field and its transverse derivatives. It is found that for backward WFR with a frequency detuning Δω, the Stokes field ES(r, z) is not closest to the pump field E*L (r, z) to a field in the shifted plane E*L (r, z + Δz), where Δz=2Δω/Δg, g is the gain. Similar results are also obtained for an angular shift.

DOI
10.1070/qe1982v012n09abeh005973

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An analysis is made of distortions of the reversed wave in stimulated backscattering of light (backward WFR) caused by frequency and angular shifts of the scattered wave relative to the pump wave. The scattered field is expressed in the form of a series in terms of orthogonalized specklons comprising the reversed pump field and its transverse derivatives. It is found that for backward WFR with a frequency detuning Δω, the Stokes field ES(r, z) is not closest to the pump field EL (r, z) to a field in the shifted plane EL (r, z + Δz), where Δz=2Δω/Δg, g is the gain. Similar results are also obtained for an angular shift.
An analysis is made of stimulated backscattering in the case when the pump (laser) radiation has a continuous frequency spectrum and a time-dependent (nonfactorizable) speckle structure. The gain increments μ ( p ) and the corresponding specklon solution for a Stokes wave are found in the case of an arbitrary ratio of the widths of the pump line Δω l , and of the stimulated scattering line Γ. These solutions correspond to partial wavefront reversal, i.e., to reversal of the spectral band of the pump radiation within an interval of width of the order of Γ/2 around a certain frequency p . A comparison of the specklon gain increments with the increments for uncorrelated waves makes it possible to determine the conditions for wavefront reversal.
A new method developed by the authors for the analysis of stimulated scattering of spatially noncoherent radiation is used in a comparative study of the concurrent and opposed interactions of a Stokes field with pump radiation. If there is no correlation between the Stokes and pump waves, the interaction is independent of the relative direction of propagation of the waves. However, if the Stokes and pump waves are correlated, the interaction efficiency depends strongly on the relative directions of the waves. Exact expressions are obtained for the structure of the wave fields and gain increments in the backscattering case and approximate expressions are obtained for the forward scattering. The physical reason for the asymmetry in the amplification is the reproduction by the Stokes signal spectrum of the pump spectrum in the forward scattering case and inversion of this spectrum in the backscattering case. The same reason accounts for a deterioration of the quality of wavefront reversal in the backscattering case compared with the forward scattering.
An investigation is made of the wave problem of the stimulated scattering of light in a pump beam comprising a plane wave and a small (in terms of energy) admixture of fluctuating distortions. The existence of interference maxima and minima in the pump wave causes an appreciable (up to twofold) enhancement of the gain of the scattered wave, the form of which reproduces that of the pump field. This effect is associated with the previously observed reversal of the wavefront in the stimulated scattering of light.
A theoretical analysis is made of wavefront reversal with a spatially inhomogeneous state of polarization of the pump radiation in symmetric trace-free stimulated scattering (backscattering). Mode theory is used to find solutions of the equation for the self-interaction of the pump radiation and also to find four linear indendent solutions for the scattered field having a structure correlated with that of the pump field. The increments for these solutions are determined. It is shown that, in contrast to scalar scattering, in the case of symmetric tracefree scattering (stimulated scattering of the Rayleigh line wing) of completely depolarized pump radiation the solution corresponding to complete spatial-polarization wavefront reversal has the largest increment. Reproduction of the wavefront of the depolarized pump radiation in stimulated forward scattering is discussed.