2018
DOI: 10.1080/23746149.2018.1467281
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Brillouin scattering of phonons in complex materials

Abstract: Initially, the theory of propagation of long-wavelength acoustic phonons and Brillouin scattering of laser light in condensed matter is concisely summarized. Then, the case of two relevant classes of complex materials in which Brillouin scattering can be measured is reviewed. First, in lowdensity, low-dimensional, disordered materials, the crossover between confinement and propagation is discussed on the basis of experimental findings. Moreover, the possibility of measuring the local mechanical properties of t… Show more

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Cited by 18 publications
(12 citation statements)
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References 64 publications
(105 reference statements)
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“… 12 , by averaging Stokes and anti-Stokes contributions. In particular, we estimated the average frequency shift of each peak through the calculation of the first spectral 43 , 44 , i.e. where the index i spans spectral channels in the range 4–13 GHz and 13–32 GHz for the low-frequency ( ν SOFT ) and high-frequency ( ν HARD ) modes, respectively.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“… 12 , by averaging Stokes and anti-Stokes contributions. In particular, we estimated the average frequency shift of each peak through the calculation of the first spectral 43 , 44 , i.e. where the index i spans spectral channels in the range 4–13 GHz and 13–32 GHz for the low-frequency ( ν SOFT ) and high-frequency ( ν HARD ) modes, respectively.…”
Section: Methodsmentioning
confidence: 99%
“…In the case of micro-structured material, Brillouin spectra can be used not only to characterize the mechanical properties of the different components but also to determine the relative volume fraction occupied by the constituents within the scattering volume. In fact, for any given component the intensity of the Brillouin peak is associated with its volume fraction weighted by the appropriate squared Pockels coefficient 44 . In our biphasic system, we estimated the volume fraction of the hard component of the bone ( ) through the relationship: where and are the integrated intensities of P HARD and P SOFT Brillouin peaks, respectively, and r the ratio between the maximum measurable intensities, and , corresponding to single components filling the whole scattering volume.…”
Section: Methodsmentioning
confidence: 99%
“…Anti-Stokes peaks obtained in three points of our sample are reported in Fig.1c. In viscoelastic media, to correctly take into account attenuation processes, Brillouin peaks can be fitted by a damped harmonic oscillator (DHO) function convoluted with the instrumental function [14]. The real ( M ’) and imaginary ( M ”) parts of the longitudinal elastic modulus can then be obtained from the frequency shift (ω b ) and linewidth (Γ b ) of the peaks through the relationships: M'=ρωb2/q2 and M"=ρωbΓb/q2, where ρ is the mass density of the sample, q = 2 nk i the exchanged momentum in the backscattering configuration, n the refractive index of the material and k i the wavevector of the incident light.…”
Section: Methodsmentioning
confidence: 99%
“…Due to the large relevance of the mechanical properties at the cell and tissue level, Brillouin spectroscopy seems to be a strategic analytical tool with potential diagnostic capabilities. Its ability, widely exploited in material science [ 10 13 ], recently found new application areas in biology and biomedicine [ 3 , 14 20 ].…”
Section: Introductionmentioning
confidence: 99%
“…In viscoelastic materials, the analysis of Brillouin spectra can easily give access to M * at the single frequency of Brillouin peaks. In particular, Brillouin peaks can be reproduced by a damped harmonic oscillator (DHO) function 10 convoluted with the instrumental function. The frequency shift ω B and line width Γ B derived from fit analysis of Brillouin peaks yield the storage and loss moduli where ρ is the mass density of the material.…”
Section: Introductionmentioning
confidence: 99%