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Quantum Optics Journal of the European Optical Society Part B

Phase quasi-integral for stimulated Raman scattering initiated by quantum fluctuation: experimental manifestation in statistics of soliton-like random pulses in a depleted pump

S. Ya. Kilin, V. A. Orlovich, A. S. Grabchikov, D E Gachovich, A.V. Kachinsky, Igor I. Fedchenia

Published Aug 1, 1993• 4 citations
Publisher

Abstract

Phase quasi-integral for stimulated Raman scattering initiated by quantum fluctuation: experimental manifestation in statistics of soliton-like random pulses in a depleted pump, S Y Kilin, V A Orlovich, A S Grabchikov, D E Gachovich, A V Kachinsky, I I Fedchenia
DOI
10.1088/0954-8998/5/4/003

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Phase Quasi Integral for Stimulated Raman Scattering Initiated by Quantum Fluctuations and Statistics of Soliton-Like Random Pulses in Depleted Pump

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Stimulated Raman scattering is a quantum macroscopic process starting from unstable state. Any fluctuations, initial or boundary, classical or quantum in nature, lead to the macroscopic output fluctuations of the Stokes amplitude. Manifestation of these fluctuations in the statistics of the Stokes pulse energy and its spectrum have been studied extensively for the linear stage of the SRS [1]. Another fluctuation phenomena arises in nonlinear stage of the SRS - the random spikes, usually called soliton-like, are observed in the depleted pump [2]. Here we shown that the reason for these soliton-like spikes is the conservation of the relative phase Δϕ=ϕL−ϕS+ϕQ of the laser, Stokes and the polarization wanes [3].
The formalism of Englund and Bowden [Phys. Rev. A 42, 2870 (1990)] is used to conduct a detailed investigation into the statistics of spontaneously generated Raman solitons and their origin in phase waves. Two approaches are adopted. In one, a Monte Carlo simulation of the stochastic differential equations describing stimulated Raman scattering is carried out, with quantum noise entering through the Stokes vacuum. The other involves determining analytically the field statistics in the quantum-initiation regime, finding the corresponding phase-wave statistics, and determining numerically the class of phase waves that appear in the nonlinear regime as solitons. Computations involving quasi-Gaussian and rectangular pump-pulse profiles consistently indicate soliton yields of roughly 10% and 4%, respectively; differences in the distributions of soliton delay times and peak intensities are also indicated. The Monte Carlo method is adapted to the experimental parameter values of MacPherson et al. [Phys. Rev. A 40, 6745 (1989)], and gives yields and distribution in good accord with the experiment.