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Soviet Journal of Quantum Electronics

Effect of phase self-modulation of light on cooperative Raman scattering

Sergei G Rautian, B. M. Chernobrod

Published Dec 31, 1979• 0 citations
Publisher

Abstract

An investigation is made of the influence of time modulation of the permittivity of a medium, induced by a high-power scattering field pulse, on the temporal characteristics of cooperative scattering. It is shown that the resultant phase self-modulation increases the delay time and reduces slightly the pulse duration of the cooperative scattering intensity.

DOI
10.1070/qe1979v009n12abeh009940

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An investigation is made of the influence of time modulation of the permittivity of a medium, induced by a high-power scattering field pulse, on the temporal characteristics of cooperative scattering. It is shown that the resultant phase self-modulation increases the delay time and reduces slightly the pulse duration of the cooperative scattering intensity.
A calculation is made of the intensity of the Stokes radiation in the stimulated Raman scattering of ultrashort light pulses in a dispersive medium employing the asymptotic approximation for arbitrary modulation of the amplitude and phase of the pump pulse. Particular attention was paid to the effect of phase modulation on the stimulated Raman scattering. Calculations were also made of the intensity of the anti-Stokes component in the scattering of an ultrashort pulse in a dispersive medium and of the optimal angle for the observation of the anti-Stokes rings.
A semiclassical system of equations is derived in the two-wave approximation describing the dynamics of evolution of cooperative Raman scattering (CRS). Relaxation and parametric processes, inhomogeneous broadening effects, and propagation processes are taken into account. An investigation is made of the influence of parametric processes and progagation effects on the CRS process. Strong amplitude and phase modulation of the scattered field pulses is predicted. A continuous transition from CRS to quasisteady-state stimulated Raman scattering is described.
An investigation is reported of the influence of self-phase-modulation of high-power pump waves on the degenerate four-wave mixing of bandwidth-limited pulses in a two-level medium. An analysis is made of the characteristic features of spectral broadening of the signal and phase-conjugate waves on the interacting pulses of different durations. The delay of the nonlinear response of the medium is taken into account. The phase modulations of the signal and phase-conjugate waves induced in this four-wave interaction are not mutually conjugate and have the same sign.
We analyze the influence of dipole-dipole interactions in an electromagnetically induced transparency set up for a density at the onset of cooperative effects. To this end, we include mean-field models for the influence of local-field corrections and radiation trapping into our calculation. We show both analytically and numerically that the polarization contribution to the local field strongly modulates the phase of a weak pulse. We give an intuitive explanation for this local-field-induced phase modulation and demonstrate that it distinctively differs from the nonlinear self-phase-modulation that a strong pulse experiences in a Kerr medium.
The results of numerical calculations of the transient stimulated Raman scattering reported previously have been verified experimentally under conditions where both linear dispersion and self-focusing effects were negligible. The existence of a delay between maxima of the laser and Stokes pulses is experimentally demonstrated for the first time, while the pulse shortening in time via Raman scattering is established more firmly than in previous work. The incident-laser-pulse duration, generated-Stokes-pulse duration, and delay between intensity maxima for the laser and Stokes pulses were measured with the two-photon absorption-fluorescence technique. The effective phonon-dephasing time is determined via spontaneous Raman scattering. By using these measured quantities, inferences are made as to the magnitude of the transient gain and the shape of the exciting picosecond laser pulse.
The regular structure in frequency broadening spectrum of the self-trapped laser and Raman radiations is produced by the phase-modulation of light waves propagating in the filament with intensity-dependent index of refraction. A quantum-mechanical calculation of double quantum transition in a three-level system is shown to explain the process of self-modulation and the production of picosecond pulses in the Raman process. Coherent coupling of the laser and the Stokes waves produces mutual modulation of large amplitude, if the optical field is strong and the vibrational relaxation time is long. Numerical evaluation for CS2 gives a modulation frequency of about 1011 Hz, when an optical power of 10 kW is trapped in a filament of 2 µm radius. Besides, the effect of self-modulation on the spatial distribution of anti-Stokes emission along the filament is discussed and shown to agree with the experimental results observed by Stoicheff and his co-workers.