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Chinese Journal of Quantum Electronics

A theoretical method of obtaining Raman gain coefficient by Raman scattering section

Wu Wei

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The relationship between Raman gain coefficient and Raman scattering section is deduced from Raman scattering probability. Based on the relationship, we get the curve of Raman gain coefficient and Raman frequency shift through numerical analysis and parameter adjustment, compare this curve with the curve of experiment, then the result in qualitative analysis is given.

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The relationship between Raman gain coefficient and Raman scattering section is deduced from Raman scattering probability. Based on the relationship, we get the curve of Raman gain coefficient and Raman frequency shift through numerical analysis and parameter adjustment, compare this curve with the curve of experiment, then the result in qualitative analysis is given.
Taking account of the coupling differential equations under the effect of Stokes and anti-Stokes for the pump wave linearly polarized and aligned with the x-axis direction,the gain coefficient for the Stokes and anti-Stokes have been derived from simultaneously act of stimulated Raman scattering and parametric amplification in the same x polarization.The Lorenz model of parallel gain coefficient is introduced in this equation. The correlation between the gain spectrum and correlative parameter studied in dispersion-shifted fiber.The conclusion shows that gain spectrum is dissymmetrical with the Stokes and anti-Stokes wave and has no relation with third-order dispersion.At the same time,the ratio of Stokes and anti-Stokes |E_(ax)/E_(sx)| increases with frequency shift,then it rapidly reduced.
In this paper, the Raman scattering spectra of cold atomic gas in different environments are closely calculated. Comparing the spectra from the atoms in free and trapped environments, the calculation result gives a right spectrum structure for the free atoms and reveals a distinct high-gain spectrum exhibiting a comb-like structure for the harmonic trapped atoms. The spectral peaks of the trapped spectrum are uniformly distributed and the distance between adjacent spectral peaks exactly equals the frequency of the trap. The nonlinear gain scheme and the gain conditions of the Raman scattering process are clearly given in this paper.
The Raman effect is the inelastic scattering of photons by matter. When a monochromatic light beam (pump beam) propagates in an optical fibre, spon- taneous Raman scattering transfers some of the photons to new frequencies. The probability of a photon scattering to a particular frequency shift, depends on that frequency shift, forming a characteristic spectrum. The scattered photons may lose energy (Stokes) or gain energy (anti-Stokes). If the pump beam is linearly polarized, then the polarization of scattered photons may be the same (parallel scattering) or orthogonal (perpendicular scattering). If photons are already present at other frequencies then the probability of scattering to those frequencies is enhanced (stimulated scattering). In this thesis, the equations governing the Raman effect, both in bulk glass and single mode fibre, are restated. The probability of spontaneous scattering (parallel and perpendicular) in an optical fibre has been measured for frequency shifts between 4THz and 58THz. Particular attention has been given to those frequency shifts where the scattering is intrinsically weak. This has identified those frequency shifts where it might be possible to eliminate Raman noise from experiments designed to generate quantum states of light in optical fibres using four wave mixing. From the measured scattering probabilities, the Raman equations can be used to predict the scattering cross-section in bulk glass. The prediction is found to be in reasonable agreement with measurements of the bulk glass cross-section published by other authors. By increasing the pump power, the transition to stimulated scattering has been observed. In the case of Stokes scattering there is reasonable agreement between the Raman equations and experimental observations. In the case of anti-Stokes scattering, and in the limit of very high pump power, behaviour is observed which is not predicted by the Raman equations, indicating that other processes must be included to successfully describe such experiments.