Source: http://aoot.osa.org/josab/abstract.cfm?uri=josab-36-4-1062
Timestamp: 2019-04-23 08:52:19+00:00

Document:
A mathematical formalism based on the classical theory of Brillouin scattering with non-monochromatic incident radiation is developed and used to account for the effect of radiation linewidths on the spectral resolution of the pump-probe technique (PPT) in application to the Brillouin spectroscopy. Theoretical findings are verified by comparison with corresponding experimental PPT data from an earlier study on CS2, a paradigm of SBS, which is well documented for its acousto-optical properties.
E. Gross, “Change of wave-length of light due to elastic heat waves at scattering in liquids,” Nature 126, 201–202 (1930).
E. Gross, “The splitting of spectral lines at scattering of light by liquids,” Nature 126, 400 (1930).
E. Gross, “Splitting of the frequency of light scattered by liquids and optical anisotropy of molecules,” Nature 126, 603–604 (1930).
I. L. Fabelinskii, Molecular Scattering of Light (1968).
Z. Meng, A. J. Traverso, C. W. Ballmann, M. Troyanova-Wood, and V. V. Yakovlev, “Seeing cells in a new light: a renaissance of Brillouin spectroscopy,” Adv. Opt. Photon. 8, 300–327 (2016).
P.-J. Wu, I. V. Kabakova, J. W. Ruberti, J. M. Sherwood, I. E. Dunlop, C. Paterson, P. Torok, and D. R. Overby, “Water content, not stiffness, dominates Brillouin spectroscopy measurements in hydrated materials,” Nat. Methods 15, 561–562 (2018).
K. Hotate, “Fiber distributed Brillouin sensing with optical correlation domain techniques,” Opt. Fiber Technol. 19, 700–719 (2013).
Y. Stern, K. Zhong, T. Schneider, R. Zhang, Y. Ben-Ezra, M. Tur, and A. Zadok, “Tunable sharp and highly selective microwave-photonic band-pass filters based on stimulated Brillouin scattering,” Photon. Res. 2, B18–B25 (2014).
T. Hao, J. Tang, W. Li, N. Zhu, and M. Li, “Fourier domain mode locked optoelectronic oscillator based on the deamplification of stimulated Brillouin scattering,” OSA Contin. 1, 408–415 (2018).
V. I. Kovalev and R. G. Harrison, “Suppression of stimulated Brillouin scattering in high-power single frequency fiber amplifiers,” Opt. Lett. 31, 161–163 (2006).
R. Y. Chiao, C. H. Townes, and B. P. Stoicheff, “Stimulated Brillouin scattering and coherent generation of intense hypersonic waves,” Phys. Rev. Lett. 12, 592–595 (1964).
R. G. Brewer and K. E. Rieckhoff, “Stimulated Brillouin scattering in liquids,” Phys. Rev. Lett. 13, 334–336 (1964).
C. L. Tang, “Saturation and spectral characteristics of the Stokes emission in the stimulated Brillouin process,” J. Appl. Phys. 37, 2945–2955 (1966).
V. I. Kovalev and R. G. Harrison, “Threshold for stimulated Brillouin scattering in optical fiber,” Opt. Express 15, 17625–17630 (2007).
V. I. Kovalev, R. G. Harrison, and J. D. Simonotto, “On the emergence and collapse of coherent periodic emission in stochastic stimulated Brilloiun scattering in optical fiber,” Phys. Rev. A 78, 043820(2008).
J. R. Sandercock, “Structure in the Brillouin spectra of thin films,” Phys. Rev. Lett. 29, 1735–1738 (1972).
V. I. Kovalev and R. G. Harrison, “Observation of inhomogeneous spectral broadening of stimulated Brillouin scattering in optical fiber,” Phys. Rev. Lett. 85, 1879–1882 (2000).
C. Wolff, R. Van Laer, M. J. Steel, B. J. Eggleton, and C. G. Poulton, “Brillouin resonance broadening due to structural variations in nanoscale waveguides,” New J. Phys. 18, 025006 (2016).
D. Pohl and W. Kaiser, “Time-resolved investigations of stimulated Brillouin scattering in transparent and absorbing media: determination of phonon lifetime,” Phys. Rev. B 1, 31–43 (1970).
A. I. Erokhin, V. I. Kovalev, and F. S. Faizullov, “Determination of the parameters of a nonlinear response in liquids in an acoustic resonance region by the method of nondegenerate four-wave interaction,” Sov. J. Quantum Electron. 16, 872–877 (1986).
N. Shibata, R. G. Waarts, and R. P. Braun, “Brillouin-gain spectra for single-mode fibers having pure-silica, GeO2-doped, and P2O5-doped cores,” Opt. Lett. 12, 269–271 (1987).
N. Shibata, Y. Azuma, T. Horiguchi, and M. Tateda, “Identification of longitudinal acoustic modes guided in the core region of a single-mode optical fiber by Brillouin gain spectra measurements,” Opt. Lett. 13, 595–597 (1988).
A. Loayssa, R. Hernandez, D. Benito, and S. Galech, “Characterization of stimulated Brillouin scattering spectra by use of optical single-sideband modulation,” Opt. Lett. 29, 638–640 (2004).
R. Pant, C. G. Poulton, D.-Y. Choi, H. McFarlane, S. Hile, E. Li, L. Thevenaz, B. Luther-Davies, S. J. Madden, and B. J. Eggleton, “On-chip stimulated Brillouin scattering,” Opt. Express 19, 8285–8290 (2011).
Y. Mizuno, M. Kishi, K. Hotate, T. Ishigure, and K. Nakamura, “Observation of stimulated Brillouin scattering in polymer optical fiber with pump-probe technique,” Opt. Lett. 36, 2378–2380 (2011).
A. Minardo, R. Bernini, and L. Zeni, “Experimental and numerical study on stimulated Brillouin scattering in a graded-index multimode optical fiber,” Opt. Express 22, 17480–17488 (2014).
E. A. Kittlaus, N. T. Otterstrom, P. Kharel, S. Gertler, and P. T. Rakich, “Non-reciprocal interband Brillouin modulation,” Nat. Photonics 12, 613–619 (2018).
V. I. Kovalev, N. E. Kotova, and R. G. Harrison, “Slow Light” in stimulated Brillouin scattering: on the influence of the spectral width of pump radiation on the group index,” Opt. Express 17, 17317–17323(2009).
V. I. Kovalev and R. G. Harrison, “On the material response in stimulated Brillouin scattering,” Phys. Lett. A 375, 2581–2584 (2011).
Fig. 1. Calculated spectra of IS(ω,δΩ) at ΓB/2π=35 MHz and δΩ/2π=0(1), 10(2), 20(3), 30(4), 40(5), 50(6), and 60(7) MHz.
Fig. 2. Log-linear plot of Lorentzians at δΩ≥0, with ΔωL/2π=35 and 55 MHz (solid and dashed curves) and the calculated R(δΩ/2π) at ΓB/2π=35 MHz, Δωp/2π=Δωpr/2π=30 MHz, and six magnitudes δΩ/2π (dots 2–7).
Fig. 3. Dependence of the calculated Δωexp/ΓB on Δωp/2π=Δωpr/2π for ΓB/2π=35 MHz (1) and 50 MHz (2) (solid lines), and those following from  (dashed lines). The dotted line illustrates the 5% level of Δωexp deviation from ΓB.

References: V. 
 V. 

V. 

V. 

V. 

V. 
 V. 

V. 

V.