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中国邮电高校学报：英文版

Group Theory Approach for the Stimulated Raman Scattering in Fiber

YANGBo-jun, GuoWanwen

Published Jan 1, 1995• 0 citations
OpenAlex

Abstract

The symmetry of rotation vibr ation spectra of molecule SiO2 is described by means of group U(5).Group theory approach is adopted to give the matrix elements of stimulated Raman scattering in fiber.The cross sections and gain coefficients of stimulated Raman scattering are given.The results are in good agreement with the experi-mental values.

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Stimulated resonance Raman scattering (review)

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Optical gain exceeding 35 dB at 156 μm due to stimulated Raman scattering by molecular D_2 in a solid silica optical fiber

ANDREW R. CHRAPLYVY, J. Stone, CHARLES A. BURRUS

A stimulated-Raman-gain medium at 1.56-microm wavelength, consisting of molecular deuterium dissolved in low-loss silica optical fiber and pumped by 1.06-microm Nd:YAG laser light, is described. In a 100-m-long fiber with pump power of 130 W, InGaAsP injection-laser probe light at 1.56 microm was amplified by a factor of 4000 to an output power of 150 mW. The measured stimulated-Raman-gain coefficient at 1.56 microm is 7 x 10(-12) cm/W, about equal to the Raman gain of SiO(2) at the same wavelength.

Optics Letters•Jul 1, 1983•32 citations
The symmetry of rotation vibr ation spectra of molecule SiO2 is described by means of group U(5).Group theory approach is adopted to give the matrix elements of stimulated Raman scattering in fiber.The cross sections and gain coefficients of stimulated Raman scattering are given.The results are in good agreement with the experi-mental values.
Polarization effects in stimulated Raman and stimulated Rayleigh scattering and self focusing are investigated from the viewpoint of the scattering of polarized photons by molecules. Both stimulated vibrational Raman scattering in liquids and stimulated rotational Raman scattering in gases are considered, and it is demonstrated that the polarization changes and relative power thresholds for different laser polarizations should be somewhat different to those predicted in other theories. For example, the ellipticity eta 0 of the stimulated rotational Raman photons in the forward direction from Delta J=+or-2 transitions in gaseous symmetric top molecules is given in terms of the initial ellipticity eta 1 by sin 2 eta 0 = - 5 / 7 sin 2 eta 1 , whereas conventional theories predict that eta 0 and eta 1 are equal in magnitude and opposite in sign. Furthermore it is shown that deviations from this relation could provide a measure of the degree of optical orientation of the molecules.
We present a detailed derivation of a new, rotationally invariant formalism for the theory of stimulated Raman scattering. The formalism is applied to Raman transitions of well-defined rotational symmetry, e.g., rotational Raman (S) transitions, yielding the explicit dependence of gain on light polarization, phase mismatch, and frequency offset. For a linearly polarized laser, the Stokes fields parallel and perpendicular to the laser field are decoupled. Far from Stokes--anti-Stokes phase matching, their gain coefficients are in the ratio of 4:3; at phase matching, both are suppressed and have zero exponential gain. For a circularly polarized laser, the circularly polarized Stokes fields circulating in the same and opposite senses as the laser field are decoupled. The gain of the opposite-sense field, which is decoupled from the anti-Stokes field, is independent of phase mismatch. Far from phase matching, the gain of the same-sense Stokes field is (1/6 that of the opposite-sense field; at phase matching, the same-sense field has zero exponential gain. An unpolarized laser is shown to have the lowest Raman gain; far from phase matching, its Stokes fields decouple into two incoherent, oppositely circularly polarized fields, but at phase matching all Stokes polarizations have zero exponential gain. The gradual transition away from phase matching is also treated explicitly, and it is shown that when the gain is suppressed the maximum Stokes growth occurs when the Stokes-laser beat is a fraction of a Raman linewidth off resonance.
An analysis is made of some features of spontaneous resonance Raman scattering representing a noise signal which is amplified by a strong field in a nonlinear medium. A detailed review is made of the experimental results obtained in investigations of the spectra of stimulated preresonance and resonance Raman scattering in nonlasing and lasing systems. It is shown that, depending on the experimental conditions, these spectra may be due to transitions between vibrational levels of molecules which are in the ground or first excited electronic states. The example of several compounds is used to demonstrate the information which can be derived from such spectra. Possible practical applications of studies of such spectra are indicated. The physical basis of the theory of stimulated resonance Raman scattering is discussed and conclusions are drawn on the nature and mechanism of this Raman effect.
A stimulated-Raman-gain medium at 1.56-microm wavelength, consisting of molecular deuterium dissolved in low-loss silica optical fiber and pumped by 1.06-microm Nd:YAG laser light, is described. In a 100-m-long fiber with pump power of 130 W, InGaAsP injection-laser probe light at 1.56 microm was amplified by a factor of 4000 to an output power of 150 mW. The measured stimulated-Raman-gain coefficient at 1.56 microm is 7 x 10(-12) cm/W, about equal to the Raman gain of SiO(2) at the same wavelength.