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Soviet Journal of Quantum Electronics

Influence of saturation on the quality of wavefront reversal in the case of stimulated scattering of spatially inhomogeneous pump radiation

I Yu Anikeev, Iosif G. Zubarev, С И Михайлов

Published Jan 31, 1986• 7 citations
Publisher

Abstract

A theoretical investigation is made of stimulated scattering of spatially inhomogeneous radiation under saturation conditions. A system of kinetic equations describing the interaction between the pump radiation and Stokes waves, correlated and uncorrelated with the exciting field, is derived and solved. A quantitative criterion is derived for the quality of wavefront reversal in the case of generation of Stokes radiation from the spontaneous noise and also in the case of a "Brillouin" amplifier.

DOI
10.1070/qe1986v016n01abeh005194

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A theoretical investigation is made of stimulated scattering of spatially inhomogeneous radiation under saturation conditions. A system of kinetic equations describing the interaction between the pump radiation and Stokes waves, correlated and uncorrelated with the exciting field, is derived and solved. A quantitative criterion is derived for the quality of wavefront reversal in the case of generation of Stokes radiation from the spontaneous noise and also in the case of a "Brillouin" amplifier.
A theoretical analysis is made of stimulated light scattering in a pump beam possessing both fine-structure inhomogeneity (and thus, "gray" divergence) and a continuously varying amplitude and phase envelope due to focusing of the beam with a lens into an unbounded medium. An equation is derived to describe the gain of the pump-reproducing field component, and a solution of this equation, excitable by spontaneous radiation noise, is found in the constant pump field approximation. In this case, the scattered wave is localized in a narrow (compared with the pump wave) near-axial zone and, unlike scattering in a waveguide, the reproduction of the pump wave is partial and dependent on the correlation between the "gray" and diffraction-limited divergence. The disagreement between this theoretical conclusion and the complete reproduction observed earlier experimentally indicates the importance of saturation effects in the scattering of focused beams.
Assuming the absence of parametric intermode interactions, a closed system of equations is derived for the pump wave and Stokes radiation intensities and for the reproduction factor in stimulated scattering in a waveguide under saturation conditions. Both parallel scattering and backscattering are analyzed. It is shown that as the backscattering reflection coefficient increases, the reproduction improves. In parallel scattering, the reproduction factor depends on the relationship between the initial correlation coefficient and the ratio of the input and pump signals.
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.
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.