Abstract

We present a method by which to determine the bulk viscosity of water from pulse duration measurements of stimulated Brillouin scattering (SBS). Beginning from a common model of Brillouin scattering, the bulk viscosity is shown to play an important role in Brillouin linewidth determination. Pulse durations of SBS back-reflected optical pulses are measured over the temperature range of 5-40 oC. SBS linewidths are determined via Fourier transformation of the time-domain results, and the bulk viscosity of water is measured and derived from the obtained values. Our results show that the proposed method for measurement of pulse durations is an effective approach for determining bulk viscosity. The method can be easily extended to determine bulk viscosities of other Newtonian liquids.

© 2013 Chinese Optics Letters

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. DeFries and J. Jonas, J. Chem. Phys. 66, 896 (1977).
  2. P. T. Cummings and T. L. Varner, J. Chem. Phys. 89, 6391 (1988).
  3. J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 66, 5031 (1977).
  4. Z. Liu and Y. Zhou, Chin. Opt. Lett. 9, 060102 (2011).
  5. E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).
  6. U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).
  7. Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096104 (2001).
  8. R. C.Weast, Handbook of Chemistry and Physics (Chemical Rubber Co., Cleveland, 1971) F-36.
  9. A. S. Dukhin and P. J. Goetz, J. Chem. Phys. 130, 124519 (2009).
  10. J. Xu, X. Ren, W. Gong, R. Dai, and D. Liu, Appl. Opt. 42, 6704 (2003).
  11. M. J. Holmes, N. G. Parker, and M. J. W. Povey, J. Phys. 269, 012011 (2011).
  12. J. Lamb, "Thermal relaxation in liquids" in Physical Acoustics W. P. Mason, (ed.) (Academic, New York, 1965) p. 203.
  13. J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 65, 4016 (1976).
  14. X. Quan and E. S. Fry, Appl. Opt. 34, 3477 (1995).
  15. I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).
  16. R. W. Boyd, Nonlinear Optics (Academic, New York, 2008) chap 8-9.
  17. I. L. Fabelinskii, Molecular Scattering of Light (Plenum, New York, 1968).
  18. S. Schiemann, W. Ubachs, and W. Hogervorst, IEEE J. Quantum Electron. 33, 358 (1997).
  19. O. Reynolds, Phil. Tran. Roy. Soc. Lon. 177, 157 (1886).

2011 (2)

Z. Liu and Y. Zhou, Chin. Opt. Lett. 9, 060102 (2011).

M. J. Holmes, N. G. Parker, and M. J. W. Povey, J. Phys. 269, 012011 (2011).

2009 (1)

A. S. Dukhin and P. J. Goetz, J. Chem. Phys. 130, 124519 (2009).

2003 (1)

2001 (1)

Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096104 (2001).

2000 (1)

U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).

1999 (1)

I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).

1997 (1)

S. Schiemann, W. Ubachs, and W. Hogervorst, IEEE J. Quantum Electron. 33, 358 (1997).

1995 (1)

1988 (1)

P. T. Cummings and T. L. Varner, J. Chem. Phys. 89, 6391 (1988).

1977 (2)

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 66, 5031 (1977).

T. DeFries and J. Jonas, J. Chem. Phys. 66, 896 (1977).

1976 (1)

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 65, 4016 (1976).

1972 (1)

E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).

1886 (1)

O. Reynolds, Phil. Tran. Roy. Soc. Lon. 177, 157 (1886).

Balucani, U.

U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).

Brodholt, J. P.

U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).

Chen, H.

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 66, 5031 (1977).

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 65, 4016 (1976).

Collings, A. F.

E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).

Cummings, P. T.

P. T. Cummings and T. L. Varner, J. Chem. Phys. 89, 6391 (1988).

Dai, R.

DeFries, T.

T. DeFries and J. Jonas, J. Chem. Phys. 66, 896 (1977).

Dukhin, A. S.

A. S. Dukhin and P. J. Goetz, J. Chem. Phys. 130, 124519 (2009).

Fry, E. S.

Goetz, P. J.

A. S. Dukhin and P. J. Goetz, J. Chem. Phys. 130, 124519 (2009).

Gong, W.

Granick, S.

Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096104 (2001).

Gulari, E.

E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).

Hogervorst, W.

I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).

S. Schiemann, W. Ubachs, and W. Hogervorst, IEEE J. Quantum Electron. 33, 358 (1997).

Holmes, M. J.

M. J. Holmes, N. G. Parker, and M. J. W. Povey, J. Phys. 269, 012011 (2011).

Jedlovszky, P.

U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).

Jonas, J.

T. DeFries and J. Jonas, J. Chem. Phys. 66, 896 (1977).

Lai, C. C.

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 66, 5031 (1977).

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 65, 4016 (1976).

Liu, D.

Liu, Z.

Neshev, D.

I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).

Parker, N. G.

M. J. Holmes, N. G. Parker, and M. J. W. Povey, J. Phys. 269, 012011 (2011).

Pings, C. J.

E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).

Povey, M. J. W.

M. J. Holmes, N. G. Parker, and M. J. W. Povey, J. Phys. 269, 012011 (2011).

Quan, X.

Ren, X.

Reynolds, O.

O. Reynolds, Phil. Tran. Roy. Soc. Lon. 177, 157 (1886).

Rouch, J.

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 66, 5031 (1977).

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 65, 4016 (1976).

Schiemann, S.

S. Schiemann, W. Ubachs, and W. Hogervorst, IEEE J. Quantum Electron. 33, 358 (1997).

Schmidt, R. L.

E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).

Ubachs, W.

I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).

S. Schiemann, W. Ubachs, and W. Hogervorst, IEEE J. Quantum Electron. 33, 358 (1997).

Vallauri, R.

U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).

Varner, T. L.

P. T. Cummings and T. L. Varner, J. Chem. Phys. 89, 6391 (1988).

Velchev, I.

I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).

Xu, J.

Zhou, Y.

Zhu, Y.

Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096104 (2001).

Appl. Opt. (2)

Chin. Opt. Lett. (1)

IEEE J. Quantum Electron. (2)

I. Velchev, D. Neshev, W. Hogervorst, and W. Ubachs, IEEE J. Quantum Electron. 33, 1812 (1999).

S. Schiemann, W. Ubachs, and W. Hogervorst, IEEE J. Quantum Electron. 33, 358 (1997).

J. Chem. Phys. (6)

A. S. Dukhin and P. J. Goetz, J. Chem. Phys. 130, 124519 (2009).

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 65, 4016 (1976).

E. Gulari, A. F. Collings, R. L. Schmidt, and C. J. Pings, J. Chem. Phys. 56, 6169 (1972).

T. DeFries and J. Jonas, J. Chem. Phys. 66, 896 (1977).

P. T. Cummings and T. L. Varner, J. Chem. Phys. 89, 6391 (1988).

J. Rouch, C. C. Lai, and H. Chen, J. Chem. Phys. 66, 5031 (1977).

J. Phys. (1)

M. J. Holmes, N. G. Parker, and M. J. W. Povey, J. Phys. 269, 012011 (2011).

Phil. Tran. Roy. Soc. Lon. (1)

O. Reynolds, Phil. Tran. Roy. Soc. Lon. 177, 157 (1886).

Phys. Rev. E (1)

U. Balucani, J. P. Brodholt, P. Jedlovszky, and R. Vallauri, Phys. Rev. E 62, 2971 (2000).

Phys. Rev. Lett. (1)

Y. Zhu and S. Granick, Phys. Rev. Lett. 87, 096104 (2001).

Other (4)

R. C.Weast, Handbook of Chemistry and Physics (Chemical Rubber Co., Cleveland, 1971) F-36.

J. Lamb, "Thermal relaxation in liquids" in Physical Acoustics W. P. Mason, (ed.) (Academic, New York, 1965) p. 203.

R. W. Boyd, Nonlinear Optics (Academic, New York, 2008) chap 8-9.

I. L. Fabelinskii, Molecular Scattering of Light (Plenum, New York, 1968).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.