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Доклады Академии наук

Relationship of the gain coefficients of reverse and nonreversed waves in stimulated light scattering

N. F. Pilipetskiǐ, V. I. Popovichev, Valerii V Ragul'skii

Published Jan 1, 1981• 0 citations
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Comparison of the amplification coefficients of conjugate and non-conjugate waves in stimulated light scattering

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Polarization attributes of stimulated Brillouin scattering slow light in fiber

Avi Zadok, Avishay Eyal, Moshe Tur +1 more

The polarization-related properties of stimulated Brillouin scattering (SBS) processes in long, randomly birefringent, standard optical fibers are examined. Evolution equations for the pump and signal waves, in the presence of both birefringence and SBS, are provided in Jones and Stokes spaces. It is shown that in the undepleted pump regime, the amplification of the SBS signal wave is equivalent to that of a linear medium with polarization-dependent gain. The process is associated with a pair of orthogonal states of polarizations (SOPs) of the signal wave, which undergo maximum and minimum amplification. In long, standard fibers, the Jones vector of the probe SOP which corresponds to maximum amplification is aligned with the complex conjugate of the pump wave Jones vector. The maximum and minimum SBS gain coefficients in such fibers equal two-thirds and one-third of the gain coefficient that is predicted by scalar theory, respectively. The large differential gain of the SBS process gives rise to an effective pulling of the amplified Stokes probe wave SOP, towards that of maximum amplification. Lastly, Stokes wave pulses that are aligned for maximum and minimum amplification experience different group delays, which manifest as polarization-related distortions in SBS slow light setups.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Feb 10, 2011•4 citations
An investigation is made of the wave problem of the stimulated scattering of light in a pump beam comprising a plane wave and a small (in terms of energy) admixture of fluctuating distortions. The existence of interference maxima and minima in the pump wave causes an appreciable (up to twofold) enhancement of the gain of the scattered wave, the form of which reproduces that of the pump field. This effect is associated with the previously observed reversal of the wavefront in the stimulated scattering of light.
An analysis is made of distortions of the reversed wave in stimulated backscattering of light (backward WFR) caused by frequency and angular shifts of the scattered wave relative to the pump wave. The scattered field is expressed in the form of a series in terms of orthogonalized specklons comprising the reversed pump field and its transverse derivatives. It is found that for backward WFR with a frequency detuning Δω, the Stokes field ES(r, z) is not closest to the pump field E*L (r, z) to a field in the shifted plane E*L (r, z + Δz), where Δz=2Δω/Δg, g is the gain. Similar results are also obtained for an angular shift.
The polarization-related properties of stimulated Brillouin scattering (SBS) processes in long, randomly birefringent, standard optical fibers are examined. Evolution equations for the pump and signal waves, in the presence of both birefringence and SBS, are provided in Jones and Stokes spaces. It is shown that in the undepleted pump regime, the amplification of the SBS signal wave is equivalent to that of a linear medium with polarization-dependent gain. The process is associated with a pair of orthogonal states of polarizations (SOPs) of the signal wave, which undergo maximum and minimum amplification. In long, standard fibers, the Jones vector of the probe SOP which corresponds to maximum amplification is aligned with the complex conjugate of the pump wave Jones vector. The maximum and minimum SBS gain coefficients in such fibers equal two-thirds and one-third of the gain coefficient that is predicted by scalar theory, respectively. The large differential gain of the SBS process gives rise to an effective pulling of the amplified Stokes probe wave SOP, towards that of maximum amplification. Lastly, Stokes wave pulses that are aligned for maximum and minimum amplification experience different group delays, which manifest as polarization-related distortions in SBS slow light setups.