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Soviet Journal of Quantum Electronics

Influence of the group velocity mismatch on reproduction of the pump spectrum under stimulated scattering conditions

Boris Ya Zel'dovich, Vladimir V. Shkunov

Published Dec 31, 1978• 10 citations
Publisher

Abstract

A theoretical analysis is made of the reproduction, in stimulated scattering, of the time structure of prolonged pump radiation whose spectrum is much wider than the spontaneous scattering line. The influence of the group velocity mismatch on the precision of reproduction and on the gain is calculated.
DOI
10.1070/qe1978v008n12abeh011407

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An investigation is made of the serious limitations on the growth of the amplitude of a Stokes wave associated with the optical Stark effect and with the dispersion of the group velocities of the interacting pulses. It is shown that when the distance traversed exceeds a certain length, the gain due to stimulated Raman scattering reaches saturation whereas the spectrum of the scattered light becomes broader and acquires a line structure. Saturation of the scattering is not manifested at pump intensities sufficient to bleach the scattering medium. The gain can be optimized by altering the offset from a resonance.
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.
Group-velocity mismatch between the pump and Stokes pulses and the inertia of optical nonlinearity are shown to modify scenarios of slow-light evolution of laser pulses accompanying stimulated Raman and Brillouin scattering (SRS and SBS) of light. In the transient regime of SRS and SBS, the inertia of nonlinear polarization of a medium shifts the peak of an amplified Stokes field envelope relative to the input Stokes pulse. This shift is sensitive to the shape of input laser pulses and is controlled by the SRS and/or SBS gain, the damping time of the optical phonon wave, and the delay time between the input pump and Stokes pulses. In the regime where both the inertia of nonlinear polarization of an SRS medium and group-delay effects are significant, stationary modes of the Stokes field may exist in the frame of reference propagating with the group velocity of the pump field. The maximum group delay attainable for such modes of the Stokes field is limited, similar to the steady-state regime, by the ratio of the steady-state SRS gain to the Raman gain bandwidth.
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.