Abstract

Brillouin microscopy recently attracted much attention for being a promising tool for all-optical label-free determination of mechanical properties of biological samples. Before its widespread utilization for biomedical applications, numbers of nuances related with this technique need to be recognized. In this article, we discuss the process of structural relaxation, the phenomena not commonly addressed by the emerging bio-Brillouin community, and its effect on longitudinal rigidity modulus. Using a model aqueous polymer mixture, we show how scattering measurements performed on the same specimen using different experimental geometries can lead to different results.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  3. K. J. Koski and J. L. Yarger, “Brillouin imaging,” Appl. Phys. Lett. 87(6), 061903 (2005).
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  4. G. Scarcelli and S. H. Yun, “Confocal Brillouin microscopy for three-dimensional mechanical imaging,” Nat. Photonics 2(1), 39–43 (2008).
    [Crossref] [PubMed]
  5. G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
    [Crossref]
  6. D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
    [Crossref]
  7. F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
    [Crossref] [PubMed]
  8. S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
    [Crossref] [PubMed]
  9. N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
    [Crossref] [PubMed]
  10. M. Pochylski and J. Gapiński, “Brillouin scattering study of polyethylene glycol/water system below crystallization temperature,” J. Phys. Chem. B 114(8), 2644–2649 (2010).
    [Crossref] [PubMed]
  11. M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
    [Crossref] [PubMed]
  12. J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
    [Crossref]
  13. H. H. Krbecek, W. Kupisch, and M. Pietralla, “A new Brillouin scattering analysis of high frequency relaxations in liquids demonstrated at the hypersound relaxation of PPG,” Polymer (Guildf.) 37(16), 3483–3491 (1996).
    [Crossref]
  14. S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
    [Crossref]
  15. G. Antonacci and S. Braakman, “Biomechanics of subcellular structures by non-invasive Brillouin microscopy,” Sci. Rep. 6(1), 37217 (2016).
    [Crossref] [PubMed]
  16. F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
    [Crossref] [PubMed]
  17. S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
    [Crossref] [PubMed]
  18. A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
    [Crossref]

2018 (1)

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

2016 (1)

G. Antonacci and S. Braakman, “Biomechanics of subcellular structures by non-invasive Brillouin microscopy,” Sci. Rep. 6(1), 37217 (2016).
[Crossref] [PubMed]

2013 (2)

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
[Crossref]

2011 (1)

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

2010 (3)

M. Pochylski and J. Gapiński, “Brillouin scattering study of polyethylene glycol/water system below crystallization temperature,” J. Phys. Chem. B 114(8), 2644–2649 (2010).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

2009 (1)

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

2008 (1)

G. Scarcelli and S. H. Yun, “Confocal Brillouin microscopy for three-dimensional mechanical imaging,” Nat. Photonics 2(1), 39–43 (2008).
[Crossref] [PubMed]

2007 (1)

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

2006 (1)

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

2005 (1)

K. J. Koski and J. L. Yarger, “Brillouin imaging,” Appl. Phys. Lett. 87(6), 061903 (2005).
[Crossref]

1996 (1)

H. H. Krbecek, W. Kupisch, and M. Pietralla, “A new Brillouin scattering analysis of high frequency relaxations in liquids demonstrated at the hypersound relaxation of PPG,” Polymer (Guildf.) 37(16), 3483–3491 (1996).
[Crossref]

1986 (1)

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

1968 (1)

D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
[Crossref]

Aliotta, F.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

Antonacci, G.

G. Antonacci and S. Braakman, “Biomechanics of subcellular structures by non-invasive Brillouin microscopy,” Sci. Rep. 6(1), 37217 (2016).
[Crossref] [PubMed]

G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
[Crossref]

Asenbaum, A.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Braakman, S.

G. Antonacci and S. Braakman, “Biomechanics of subcellular structures by non-invasive Brillouin microscopy,” Sci. Rep. 6(1), 37217 (2016).
[Crossref] [PubMed]

Candau, S. J.

D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
[Crossref]

Caponi, S.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Champion, P. M.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Comez, L.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

Derkaoui, N.

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

Emiliani, C.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Fioretto, D.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

Foreman, M. R.

G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
[Crossref]

Gapinski, J.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

M. Pochylski and J. Gapiński, “Brillouin scattering study of polyethylene glycol/water system below crystallization temperature,” J. Phys. Chem. B 114(8), 2644–2649 (2010).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

Gessini, A.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

Grohens, Y.

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

Koski, K. J.

K. J. Koski and J. L. Yarger, “Brillouin imaging,” Appl. Phys. Lett. 87(6), 061903 (2005).
[Crossref]

Krbecek, H. H.

H. H. Krbecek, W. Kupisch, and M. Pietralla, “A new Brillouin scattering analysis of high frequency relaxations in liquids demonstrated at the hypersound relaxation of PPG,” Polymer (Guildf.) 37(16), 3483–3491 (1996).
[Crossref]

Kruger, J. K.

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

Kupisch, W.

H. H. Krbecek, W. Kupisch, and M. Pietralla, “A new Brillouin scattering analysis of high frequency relaxations in liquids demonstrated at the hypersound relaxation of PPG,” Polymer (Guildf.) 37(16), 3483–3491 (1996).
[Crossref]

LaMacchia, J. T.

D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
[Crossref]

Legrand, J. F.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

Litovitz, T. A.

D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
[Crossref]

Lushnikov, S. G.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Marx, A.

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

Masciovecchio, C.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

Mattana, S.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Mattarelli, M.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Monaco, G.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

Olier, R.

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

Paterson, C.

G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
[Crossref]

Peetz, L.

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

Pietralla, M.

H. H. Krbecek, W. Kupisch, and M. Pietralla, “A new Brillouin scattering analysis of high frequency relaxations in liquids demonstrated at the hypersound relaxation of PPG,” Polymer (Guildf.) 37(16), 3483–3491 (1996).
[Crossref]

Pinnow, D. A.

D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
[Crossref]

Pochylski, M.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

M. Pochylski and J. Gapiński, “Brillouin scattering study of polyethylene glycol/water system below crystallization temperature,” J. Phys. Chem. B 114(8), 2644–2649 (2010).
[Crossref] [PubMed]

Ponterio, R. C.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

Privat, M.

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

Pruner, C.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Roberts, R.

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

Sagini, K.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Said, S.

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

Saija, F.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

Salvato, G.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

Santucci, S. C.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

Scarcelli, G.

G. Scarcelli and S. H. Yun, “Confocal Brillouin microscopy for three-dimensional mechanical imaging,” Nat. Photonics 2(1), 39–43 (2008).
[Crossref] [PubMed]

Scarponi, F.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

Schulte, A.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Serra, M. D.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Svanidze, A. V.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Török, P.

G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
[Crossref]

Unruh, H.-G.

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

Urbanelli, L.

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Vasi, C.

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

Verbeni, R.

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

Wilhelm, E.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Yarger, J. L.

K. J. Koski and J. L. Yarger, “Brillouin imaging,” Appl. Phys. Lett. 87(6), 061903 (2005).
[Crossref]

Yun, S. H.

G. Scarcelli and S. H. Yun, “Confocal Brillouin microscopy for three-dimensional mechanical imaging,” Nat. Photonics 2(1), 39–43 (2008).
[Crossref] [PubMed]

Ziegler, L. D.

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

AIP Conf. Proc. (1)

A. Asenbaum, C. Pruner, A. V. Svanidze, E. Wilhelm, S. G. Lushnikov, A. Schulte, P. M. Champion, and L. D. Ziegler, “Brillouin scattering in lysozyme solutions,” AIP Conf. Proc. 1267, 666–667 (2010).
[Crossref]

Appl. Phys. Lett. (2)

K. J. Koski and J. L. Yarger, “Brillouin imaging,” Appl. Phys. Lett. 87(6), 061903 (2005).
[Crossref]

G. Antonacci, M. R. Foreman, C. Paterson, and P. Török, “Spectral broadening in Brillouin imaging,” Appl. Phys. Lett. 103(22), 221105 (2013).
[Crossref]

Colloid Polym. Sci. (1)

J. K. Kruger, A. Marx, L. Peetz, R. Roberts, and H.-G. Unruh, “Simultaneous determination of elastic and optical properties of polymers by high performance Brillouin spectroscopy using different scattering geometries,” Colloid Polym. Sci. 264, 403–414 (1986).
[Crossref]

J. Acoust. Soc. Am. (1)

D. A. Pinnow, S. J. Candau, J. T. LaMacchia, and T. A. Litovitz, “Brillouin Scattering: Viscoelastic Measurements in Liquids,” J. Acoust. Soc. Am. 43(1), 131–142 (1968).
[Crossref]

J. Chem. Phys. (1)

S. C. Santucci, L. Comez, F. Scarponi, G. Monaco, R. Verbeni, J. F. Legrand, C. Masciovecchio, A. Gessini, and D. Fioretto, “Onset of the α-relaxation in the glass-forming solution LiCl-6H2O revealed by Brillouin scattering techniques,” J. Chem. Phys. 131(15), 154507 (2009).
[Crossref] [PubMed]

J. Colloid Interface Sci. (1)

N. Derkaoui, S. Said, Y. Grohens, R. Olier, and M. Privat, “PEG400 novel phase description in water,” J. Colloid Interface Sci. 305(2), 330–338 (2007).
[Crossref] [PubMed]

J. Phys. Chem. B (2)

M. Pochylski and J. Gapiński, “Brillouin scattering study of polyethylene glycol/water system below crystallization temperature,” J. Phys. Chem. B 114(8), 2644–2649 (2010).
[Crossref] [PubMed]

M. Pochylski, F. Aliotta, R. C. Ponterio, F. Saija, and J. Gapiński, “Some evidence of scaling behavior in the relaxation dynamics of aqueous polymer solutions,” J. Phys. Chem. B 114(4), 1614–1620 (2010).
[Crossref] [PubMed]

Light Sci. Appl. (1)

S. Mattana, M. Mattarelli, L. Urbanelli, K. Sagini, C. Emiliani, M. D. Serra, D. Fioretto, and S. Caponi, “Non-contact mechanical and chemical analysis of single living cells by microspectroscopic techniques,” Light Sci. Appl. 7(2), 17139 (2018).
[Crossref]

Nat. Photonics (1)

G. Scarcelli and S. H. Yun, “Confocal Brillouin microscopy for three-dimensional mechanical imaging,” Nat. Photonics 2(1), 39–43 (2008).
[Crossref] [PubMed]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, and C. Vasi, “Collective acoustic modes in liquids: A comparison between the generalized-hydrodynamics and memory-function approaches,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 84(5), 051202 (2011).
[Crossref] [PubMed]

F. Aliotta, J. Gapiński, M. Pochylski, R. C. Ponterio, F. Saija, G. Salvato, and C. Vasi, “High-frequency propagating density fluctuations in deeply supercooled water: Evidence of a single viscous relaxation,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 87(2), 022303 (2013).
[Crossref] [PubMed]

Phys. Rev. Lett. (1)

S. C. Santucci, D. Fioretto, L. Comez, A. Gessini, and C. Masciovecchio, “Is there any fast sound in water?” Phys. Rev. Lett. 97(22), 225701 (2006).
[Crossref] [PubMed]

Polymer (Guildf.) (1)

H. H. Krbecek, W. Kupisch, and M. Pietralla, “A new Brillouin scattering analysis of high frequency relaxations in liquids demonstrated at the hypersound relaxation of PPG,” Polymer (Guildf.) 37(16), 3483–3491 (1996).
[Crossref]

Sci. Rep. (1)

G. Antonacci and S. Braakman, “Biomechanics of subcellular structures by non-invasive Brillouin microscopy,” Sci. Rep. 6(1), 37217 (2016).
[Crossref] [PubMed]

Other (2)

B. J. Berne and R. Pecora, Dynamic Light Scattering (J. Wiley & Sons, 1976).

J. P. Boon and S. Yip, Molecular Hydrodynamics (McGraw-Hill, 1980).

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Figures (3)

Fig. 1
Fig. 1 Longitudinal acoustic dispersion plot for a relaxing liquid. a) Transition from a relaxed into the unrelaxed branch occurs at certain range of wave-vectors which depends on the actual time of the structural relaxation; b) Corresponding wave-vector dependence of the hypersonic velocity (and so the rigidity modulus M’).
Fig. 2
Fig. 2 The double 90A/90R scattering geometry used in this study. a) Scheme of the experimental setup: L1,L2,L3 – lenses, M – mirror, S – sample; b) inner scattering for 90A geometry; c) inner scattering for 90R geometry; d) Experimental Brillouin spectrum for PEG300/H2O mixture at four different temperatures. The solid lines are the fit results obtained with Eq. (3).
Fig. 3
Fig. 3 Outcome of the temperature Brillouin scattering experiment performed on PEG300/Water mixture at different values of wave-vectors. a) Rigidity modulus obtained for 90A, 90R and back-scattering (BS) geometry; inset: q-dependence of the M obtained for T = 298K reproduced assuming mean relaxation time of 6ps (solid line). b) Temperature behavior of the D90R function compared with the experimental refractive index (nPulfrich). Inset: comparison between D90R and refractive index for bulk Water.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

q 90A =2π 2 / λ 0 , q 90R =2π 4 n 2 2 / λ 0 .
D 90R (T)=n= 1 2 [ 1+ ( ω 90R (T) ω 90A (T) ) 2 ]
I(ω)= A C Γ C ω 2 + Γ C 2 + i=90A,90R { [ A B,i Γ B,i (ω+ ω B,i ) 2 + Γ B,i 2 + A B,i Γ B,i (ω ω B,i ) 2 + Γ B,i 2 ] + 1 ω B [ A C Γ C + A B Γ B ][ ω+ ω B,i (ω+ ω B,i ) 2 + Γ B,i 2 ω ω B,i (ω ω B,i ) 2 + Γ B,i 2 ] }.