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Physical mechanism of “slow light”
in stimulated Brillouin scattering |
| Valeri I. KOVALEV1,Nadezhda E. KOTOVA1,Robert G. HARRISON2, |
| 1.Department of Physics,
Heriot-Watt University, Edinburgh EH14 4AS, UK；P. N. Lebedev Physical
Institute, Russian Academy of Sciences, Moscow 119991, Russia; 2.Department of Physics,
Heriot-Watt University, Edinburgh EH14 4AS, UK; |
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Abstract We show from analytical analysis of the basic stimulated Brillouin scattering (SBS) equations in the time domain that the SBS amplification process does not amplify an external Stokes pulse and therefore cannot induce group delay of the Stokes pulse as claimed in the literature. Rather, the delayed output Stokes pulse is the pump radiation reflected by the induced acoustic wave, the amplitude of which determines the rate of the amplification process and time delay of the pulse. The latter is predominantly a consequence of the SBS buildup process determined by the inertia of the acoustic wave excitation. Analytical solutions of the SBS equations in the frequency domain show that spectral broadening of the pump radiation leads to only negligible broadening of the SBS spectral bandwidth and so does not provide an effective means to achieve broadband pulse delay.
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Issue Date: 05 March 2010
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Brillouin L. WavePropagation and Group Velocity. NewYork: Academic Press, 1960
|
|
Boyd R W, Gauthier D J. “Slow” and “fast”light. Progress in Optics, 2002, 43(6): 497–530
|
|
Gauthier D J. Slow light brings faster communications. Physics World, 2005, 18: 30–32
|
|
Thevenaz L. Slowand fast light in optical fibres. NaturePhotonics, 2008, 2(8): 474–481
doi: 10.1038/nphoton.2008.147
|
|
Kroll N M. Excitation of hypersonic vibrations by means of photoelastic couplingof high-intensity light waves to elastic waves. Journal of Applied Physics, 1965, 36(1): 34–43
doi: 10.1063/1.1713918
|
|
Zeldovich B Ya. Time of establishment of stationary regime of stimulated light scattering. Journal of Experimental and Theoretical PhysicsLetters, 1972, 15: 158–159
|
|
Okawachi Y, Bigelow M S, Sharping J E, Zhu Z, Schweinsberg A, Gauthier D J, Boyd R W, Gaeta A L. Tunable all-optical delays via Brillouinslow light in an optical fiber. PhysicalReview Letters, 2005, 94(15): 153902
doi: 10.1103/PhysRevLett.94.153902
|
|
Zeldovich B Ya, Pilipetskii N F, Shkunov V V. Principles of Phase Conjugation. Berlin: Springer Verlag, 1985
|
|
Song K Y, Herraez M G, Thevenaz L. Observation of pulse delaying and advancement in opticalfibers using stimulated Brillouin scattering. Optics Express, 2005, 13(1): 82–88
doi: 10.1364/OPEX.13.000082
|
|
Zhu Z, Gauthier D J, Okawachi Y, Sharping J E, Gaeta A L, Boyd R W, Willner A E. Numerical study of all-optical slow-light delays via stimulated Brillouinscattering in an optical fiber. Journalof the Optical Society of American B, 2005, 22(11): 2378–2384
doi: 10.1364/JOSAB.22.002378
|
|
Bronshtein I N, Semendyaev K A. A Guide-Book to Mathematics. Zurich: VerlagHarri Deutsch, 1973
|
|
Pohl D, Kaiser W. Time-resolved investigationsof stimulated Brillouin scattering in transparent and absorbing media:determination of phonon lifetimes. PhysicalReview B, 1970, 1(1): 31–43
doi: 10.1103/PhysRevB.1.31
|
|
Kovalev V I, Harrison R G. Threshold for stimulatedBrillouin scattering in optical fiber. Optics Express, 2007, 15(26): 17625–17630
doi: 10.1364/OE.15.017625
|
|
Pinnow D A. Guide lines for the selection of acoustooptic materials. IEEE Journal of Quantum Electronics, 1970, 6(4): 223–238
doi: 10.1109/JQE.1970.1076441
|
|
Agrawal G P. Nonlinear Fiber Optics. 2nd ed. Boston:Academic, 1995
|
|
Kovalev V I, Harrison R G. Observation of inhomogeneousspectral broadening of stimulated Brillouin scattering in an opticalfiber. Physical Review Letters, 2000, 85(9): 1879–1882
doi: 10.1103/PhysRevLett.85.1879
|
|
Kovalev V I, Harrison R G. Waveguide-induced inhomogeneousspectral broadening of stimulated Brillouin scattering in opticalfiber. Optics Letters, 2002, 27(22): 2022–2024
doi: 10.1364/OL.27.002022
|
|
Kalosha V P, Cheng L, Bao X. Slow and fast light via SBS in optical fibers for shortpulses and broadband pump. Optics Express, 2006, 14(26): 12693–12703
doi: 10.1364/OE.14.012693
|
|
Stenner M DNeifeld M A, Zhu Z, Dawes A M C, Gauthier D J. Distortion management inslow-light pulse delay. Optics Express, 2005, 13(25): 9995–10002
doi: 10.1364/OPEX.13.009995
|
|
Herraez M G, Song K Y, Thevenaz L. Arbitrary-bandwidth Brillouin slow light in optical fibers. Optics Express, 2006, 14(4): 1395–1400
doi: 10.1364/OE.14.001395
|
|
Minardo A, Bernini R, Zeni L. Low distortion Brillouin slow light in optical fibersusing AM modulation. Optics Express, 2006, 14(13): 5866–5876
doi: 10.1364/OE.14.005866
|
|
Shumakher E, Orbach N, Nevet A, Dahan D, Eisenstein G. On the balance between delay,bandwidth and signal distortion in slow light systems based on stimulatedBrillouin scattering in optical fibers. Optics Express, 2006, 14(13): 5877–5884
doi: 10.1364/OE.14.005877
|
|
Zhu Z, Gauthier D J. Nearly transparent SBS slowlight in an optical fiber. Optics Express, 2006, 14(16): 7238–7245
doi: 10.1364/OE.14.007238
|
|
Schneider T, Junker M, Lauterbach K U, Henker R. Distortionreduction in cascaded slow light delays. Electronics Letters, 2006, 42(19): 1110–1112
doi: 10.1049/el:20062235
|
|
Zadok A, Eyal A, Tur M. Extended delay of broadband signals in stimulated Brillouinscattering slow light using synthesized pump chirp. Optics Express, 2006, 14(19): 8498–8505
doi: 10.1364/OE.14.008498
|
|
Chin S, Gonzalez-Herraez M, Thevenaz L. Zero-gain slow and fast light propagationin an optical fiber. Optics Express, 2006, 14(22): 10684–10692
doi: 10.1364/OE.14.010684
|
|
Schneider T, Junker M, Lauterbach K U. Potential ultra wide slow-light bandwidth enhancement. Optics Express, 2006, 14(23): 11082–11087
doi: 10.1364/OE.14.011082
|
|
Kalosha V P, Cheng L, Bao X. Slow and fast light via SBS in optical fibers for shortpulses and broadband pump. Optics Express, 2006, 14(26): 12693–12703
doi: 10.1364/OE.14.012693
|
|
Zhu Z, Dawes A M C, Gauthier D J, Zhang L, Willner A E. Broadband SBS slow light in an opticalfiber. Journal of Lightwave Technology, 2007, 25(1): 201–206
doi: 10.1109/JLT.2006.887188
|
|
Song K Y, Hotate K. 25 GHz bandwidth Brillouinslow light in optical fibers. Optics Letters, 2007, 32(3): 217–219
doi: 10.1364/OL.32.000217
|
|
Lu Z, Dong Y, Li Q. Slow light in multi-line Brillouin gain spectrum. Optics Express, 2007, 15(4): 1871–1877
doi: 10.1364/OE.15.001871
|
|
Zhang B, Yan L, Fazal I, Zhang L, Willner A E, Zhu Z, Gauthier D J. Slow light on Gbit/s differential-phase-shift-keyingsignals. Optics Express, 2007, 15(4): 1878–1883
doi: 10.1364/OE.15.001878
|
|
Yi L, Zhan L, Hu W, Xia Y. Delay of broadbandsignals using slow light in stimulated Brillouin scattering with phase-modulatedpump. IEEE Photonics Technology Letters, 2007, 19(8): 619–621
doi: 10.1109/LPT.2007.894350
|
|
Zhang B, Zhang L, Yan L S, Fazal I, Yang J Y, Willner A E. Continuously-tunable, bit-rate variable OTDM using broadband SBSslow-light delay line. Optics Express, 2007, 15(13): 8317–8322
doi: 10.1364/OE.15.008317
|
|
Shi Z, Pant R, Zhu Z, Stenner M D, Neifeld M A, Gauthier D J, Boyd R W. Design ofa tunable time-delay element using multiple gain lines for increasedfractional delay with high data fidelity. Optics Letters, 2007, 32(14): 1986–1988
doi: 10.1364/OL.32.001986
|
|
Schneider T, Henker R, Lauterbach K U, Junker M. Comparisonof delay enhancement mechanisms for SBS-based slow light systems. Optics Express, 2007, 15(15): 9606–9613
doi: 10.1364/OE.15.009606
|
|
Yi L, Jaouen Y, Hu W, Zhou J, Su Y, Pincemin E. Simultaneousdemodulation and slow light of differential phase-shift keying signalsusing stimulated-Brillouin-scattering-based optical filtering in fiber. Optics Letters, 2007, 32(21): 3182–3184
doi: 10.1364/OL.32.003182
|
|
Yi L, Jaouen Y, Hu W, Su Y, Bigo S. Improved slow-light performance of 10?Gb/sNRZ, PSBT and DPSK signals in fiber broadband SBS. Optics Express, 2007, 15(25): 16972–16979
doi: 10.1364/OE.15.016972
|
|
Song K Y, Abedin K S, Hotate K. Gain assisted superluminal propagation in tellurite glassfiber based on stimulated Brillouin scattering. Optics Express, 2008, 16(1): 225–230
doi: 10.1364/OE.16.000225
|
|
Pant R, Stenner M D, Neifeld M A, Gauthier D J. Optimal pump profile designs for broadband SBS-based slow light systems. Optics Express, 2008, 16(4): 2764–2777
doi: 10.1364/OE.16.002764
|
|
Ren L, Tomita Y. Reducing group-velocity-dispersion-dependentbroadening of stimulated Brillouin scattering slow light in an opticalfiber by use of a single pump laser. Journalof the Optical Society of American B, 2008, 25(5): 741–746
doi: 10.1364/JOSAB.25.000741
|
|
Sakamoto T, Yamamoto T, Shiraki K, Kurashima T. Lowdistortion slow light in flat Brillouin gain spectrum by using opticalfrequency comb. Optics Express, 2008, 16(11): 8026–8032
doi: 10.1364/OE.16.008026
|
|
Wang S, Ren L, Liu Y, Tomita Y. Zero-broadeningSBS slow light propagation in an optical fiber using two broadbandpump beams. Optics Express, 2008, 16(11): 8067–8076
doi: 10.1364/OE.16.008067
|
|
Schneider T, Henker R, Lauterbach K U, Junker M. Distortionreduction in slow light systems based on stimulated Brillouin scattering. Optics Express, 2008, 16(11): 8280–8285
doi: 10.1364/OE.16.008280
|
|
Schneider T. Timedelay limits of stimulated-Brillouin-scattering-based slow light systems. Optics Letters, 2008, 33(13): 1398–1400
doi: 10.1364/OL.33.001398
|
|
Cheng A, Fok M P, Shu C. Wavelength-transparent, stimulated-Brillouin-scatteringslow light using cross-gain-modulation-based wavelength converterand Brillouin fiber laser. Optics Letters, 2008, 33(22): 2596–2598
doi: 10.1364/OL.33.002596
|
|
Korn G A, Korn T M. Manual of Mathematics. New York: McGraw-Hill, 1967
|
|
Akhmanov S A, Dyakov Y E, Chirkin A S. Introduction to Statistical Radiophysics and Optics. Berlin: Springer, 1988
|
|
Carman R L, Shimizu F, Wang C S, Bloembergen N. Theoryof Stokes pulse shapes in transient simulated Raman scattering. Physical Review A, 1970, 2(1): 60–72
doi: 10.1103/PhysRevA.2.60
|
|
Akhmanov S A, Drabovich K N, Sukhorukov A P, Chirkin A S. Stimulated Raman scattering in a field of ultrashort light pulses. Soviet Journal of Experimental and TheoreticalPhysics, 1971, 32: 266–273
|
|
Bel’dyugin I M, Efimkov V F, Mikhailov S I, Zubarev I G. Amplification of weak Stokes signals in the transient regime of stimulatedBrillouin scattering. Journal of RussianLaser Research, 2005, 26(1): 1–12
doi: 10.1007/s10946-005-0001-9
|
|
Kovalev V I, Kotova N E, Harrison R G. Effect of acoustic wave inertia and its implication toslow light via stimulated Brillouin scattering in an extended medium. Optics Express, 2009, 17(4): 2826–2833
doi: 10.1364/OE.17.002826
|
|
Milonni P W, Eberly J H. Lasers. New York: Wiley, 1988
|
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