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Soviet Journal of Quantum Electronics

Theory of stimulated scattering of nonmonochromatic radiation

Igor' M Bel'dyugin, Michail G. Galushkin, O. I. Rechkin

Published Jul 31, 1986• 0 citations
Publisher

Abstract

A theory is developed of stimulated scattering of nonmonochromatic radiation whose spectral width is much greater than the spontaneous scattering line width or the frequency shift of the Stokes wave. It is shown that scattering of nonmonochromatic incident radiation under coherent conditions may take place as efficiently as for monochromatic pump radiation. The results apply to various types of stimulated scattering, in particular, to stimulated thermal scattering and stimulated scattering in media which are in thermodynamic nonequilibrium.

DOI
10.1070/qe1986v016n07abeh007194

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Soviet Journal of Quantum Electronics•Feb 28, 1991•0 citations
A theory is developed of stimulated scattering of nonmonochromatic radiation whose spectral width is much greater than the spontaneous scattering line width or the frequency shift of the Stokes wave. It is shown that scattering of nonmonochromatic incident radiation under coherent conditions may take place as efficiently as for monochromatic pump radiation. The results apply to various types of stimulated scattering, in particular, to stimulated thermal scattering and stimulated scattering in media which are in thermodynamic nonequilibrium.
A theoretical and experimental investigation was made of the amplification of a Stokes signal in a multimode pump field when the ratio of the spectral widths of the interacting fields was varied. In the pump intensity range I p < I cr ( I cr was a critical intensity) the gain increment was considerably less than the static value and it was governed entirely by the spectral distributions of the pump and Stokes signal. In the range I p > I cr the gain increment tended to the static value. An anomalous scatter of the Raman amplifier gain was observed experimentally for Δ ν s ≈Δ ν p ≫Δ ν l (Δ ν s ,Δ ν p , and Δ ν l were the line widths of the Stokes signal, pump, and spontaneous stimulated Raman scattering). A theory developed for the purpose indicated that the scatter was observed because the phase relationships between the interacting waves at the input into the medium varied from one measurement to another.
An analysis is made of the laws governing amplification of the Stokes wave in stimulated Raman scattering (STRS) in a dispersive medium for different models of wide-band pump radiation. An accurate solution of the STRS equations is obtained for pump radiation having a quadratically time-modulated phase. It is shown that for pump radiation for which the width of the instantaneous frequency spectrum is much less than the Raman scattering line width, the laws governing amplification of the Stokes wave differ substantially from those predicted by statistical STRS theory. Solutions of STRS equations in a dispersive medium are found for a model of temporally periodic pump radiation having a high intermode beat frequency.
An analysis is made of the influence of the width of the pump line on the stimulated scattering in Fabry–Perot and ring resonators which are tuned both to the pump frequency and to the frequency of the Stokes component. It is shown that the excitation threshold of the stimulated scattering in dispersion-free media is independent of the width of the pump line, because of the parametric interaction between the modes, whereas in media with a considerable dispersion the threshold is Δω p /Δω sp greater than the stimulated emission threshold under monochromatic pumping conditions (the subscripts "p" and "sp" refer to the pump wave and to the spontaneous Raman scattering). Analytic expressions are given for the amplitudes of the pump and Stokes fields at the excitation threshold and under steady-state conditions.
A model is developed for the description of stimulated Raman scattering. This model allows for changes in the level populations due to radiative transitions and it can be used also for an arbitrary detuning of the pump radiation from the center of a line of an atom in the active medium. A study is made of the conversion of wide-band laser radiation into a Stokes signal. It is shown that this conversion is quite efficient and the Stokes signal gain corresponds to coherent scattering. This result is related to the matching of the phases of the pump and Stokes signals. Numerical investigations carried out using this model under the experimental conditions described elsewhere give results in agreement with the experimental data.