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Soviet Journal of Quantum Electronics

Influence of changes in the pump field on the form of the field of a signal amplified under stimulated scattering conditions

Igor' M Bel'dyugin, E M Zemskov

Published Sep 30, 1978• 7 citations
Publisher

Abstract

Parallel and antiparallel amplification of a Stokes signal in the field of monochromatic spatially inhomogeneous pump radiation is considered without assuming that the pump field remains constant. Expressions are obtained which describe the form of the fields and the nature of changes in the fields as a function of the longitudinal and transverse coordinates.

DOI
10.1070/qe1978v008n09abeh010776

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Soviet Journal of Quantum Electronics•Aug 31, 1978•4 citations
Parallel and antiparallel amplification of a Stokes signal in the field of monochromatic spatially inhomogeneous pump radiation is considered without assuming that the pump field remains constant. Expressions are obtained which describe the form of the fields and the nature of changes in the fields as a function of the longitudinal and transverse coordinates.
A theoretical analysis is made of the problem of parallel amplification of the Stokes signal in a nonmonochromatic spatially inhomogeneous pump field in stimulated Raman scattering. Expressions are obtained for the spatial and temporal characteristics of the process of amplification of the Stokes signal. It is shown that in the course of amplification the slowly varying amplitude of the Stokes signal field becomes similar to the slowly varying amplitude of the pump field. The relationships obtained apply also, subject to certain restrictions, to other types of scattering.
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 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.
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.
An analysis is made of the formation of Stokes fields correlated with the pump radiation under stimulated scattering conditions. It is shown that formation of a correlated field takes place gradually as the initiating Stokes waves propagate through the scattering medium. The gain increment of this configuration also increases gradually, tending at the limit to twice the average increment. In this case, the nature of the formation of a correlated field is such that high spatial frequencies of the excited radiation are reversed better than the low frequencies.