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Soviet Journal of Quantum Electronics

Reproduction of spatial and temporal structures of exciting radiation by parallel stimulated scattering under saturation conditions

Кочемасов Геннадий Григорьевич, Valeri D. Nikolaev

Published Oct 31, 1980• 0 citations
Publisher

Abstract

Equations are derived for the coefficients of the correlations describing the spatial and temporal characteristics of the Stokes radiation under parallel scattering conditions. A solution of these equations shows that the reproduction coefficient h rises and reaches a maximum when the quantum efficiency of the Stokes component is 0.5 and this is followed by a fall of h. The maximum value of h depends on the intensity and reproduction coefficient of the input signal and may differ considerably from the value predicted by the theory postulating a constant field.

DOI
10.1070/qe1980v010n10abeh010579

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Equations are derived for the coefficients of the correlations describing the spatial and temporal characteristics of the Stokes radiation under parallel scattering conditions. A solution of these equations shows that the reproduction coefficient h rises and reaches a maximum when the quantum efficiency of the Stokes component is 0.5 and this is followed by a fall of h. The maximum value of h depends on the intensity and reproduction coefficient of the input signal and may differ considerably from the value predicted by the theory postulating a constant field.
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 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 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.
We present a three-dimensional theory of stimulated Raman scattering (SRS) or super-radiance. In particular we address how the spatial and temporal properties of the generated SRS beam or Stokes beam of radiation depends on the spatial properties of the gain medium. Maxwell equations for the Stokes field operators and of the atomic operators are solved analytically and a correlation function for the Stokes field is derived. In the analysis we identify a super-radiating part of the Stokes radiation that exhibit beam characteristics. We show how the intensity in this beam builds up in time and at some point largely dominates the total Stokes radiation of the gain medium. We show how the SRS depends on the Fresnel number and the optical depth and that in fact these two factors are the only factors describing the coherent radiation.
A numerical solution is given of a system of coupled quasioptic equations describing the nonlinear interaction between exciting and stimulated-Raman-scattered waves. The boundary conditions are found by solving the problem in the approximation of fixed parameters of the exciting (pump) beam. It is shown that when the threshold for the parallel stimulated scattering is exceeded, the diffraction effects limit the rise of the intensity of the radiation transmitted by a nonlinear medium when the pump power is increased.
An experimental investigation was made of the distribution of the energies of pulses of forward (concurrent) and backward first Stokes components of stimulated Raman scattering (STRS), and of pump (exciting) radiation pulses, transmitted by a scattering medium. The study was carried out under linear, intermediate, and nonlinear scattering conditions. The dependences of the coefficients of variation and of the asymmetry of the distributions on the energy of the pump pulses were determined. The statistical properties of the energy of the backward STRS pulses differed in a number of respects from the forward STRS pulses, including a relatively high coefficient of variation in the former case. An interpretation of these differences was developed. It was found that STRS gave rise to fluctuations of the energy of the transmitted pump pulses and the statistical characteristics of these pulses were determined. The results obtained for forward STRS were in satisfactory agreement with the conclusions reached on the basis of a quantum theory.