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1
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85036282166
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L. C. Lynnworth, Ultrasonic Measurements for Process Control (Academic Press, New York, 1989)
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L. C. Lynnworth, Ultrasonic Measurements for Process Control (Academic Press, New York, 1989).
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2
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85036323797
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A. Briggs, An Introduction to Scanning Acoustic Microscopy (Oxford University Press, Oxford, 1985)
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A. Briggs, An Introduction to Scanning Acoustic Microscopy (Oxford University Press, Oxford, 1985).
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3
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85036268968
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D. H. Evans, Doppler Ultrasound: Physics, Instrumentation, and Clinical Applications (Wiley, New York, 1989)
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D. H. Evans, Doppler Ultrasound: Physics, Instrumentation, and Clinical Applications (Wiley, New York, 1989).
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6
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85036250022
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J. H. Page, M. L. Cowan, P. Sheng, and D. A. Weitz, in IUTAM Symposium 99/4: Mechanical and Electromagnetic Waves in Structured Media, edited by R. C. McPhedran, L. C. Botten, and N. A. Nicorovici (Kluwer Academic, Dordrecht, 2001), p. 121
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J. H. Page, M. L. Cowan, P. Sheng, and D. A. Weitz, in IUTAM Symposium 99/4: Mechanical and Electromagnetic Waves in Structured Media, edited by R. C. McPhedran, L. C. Botten, and N. A. Nicorovici (Kluwer Academic, Dordrecht, 2001), p. 121.
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7
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0001497718
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J.H. Page, H.P. Schriemer, A.E. Bailey, and D.A. Weitz, Phys. Rev. E 52, 3106 (1995).
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(1995)
Phys. Rev. E
, vol.52
, pp. 3106
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Page, J.H.1
Schriemer, H.P.2
Bailey, A.E.3
Weitz, D.A.4
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8
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0031588241
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H.P. Schriemer, M.L. Cowan, J.H. Page, P. Sheng, Z. Liu, and D.A. Weitz, Phys. Rev. Lett. 79, 3166 (1997).
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(1997)
Phys. Rev. Lett.
, vol.79
, pp. 3166
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Schriemer, H.P.1
Cowan, M.L.2
Page, J.H.3
Sheng, P.4
Liu, Z.5
Weitz, D.A.6
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10
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0000712949
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D.J. Pine, D.A. Weitz, P.M. Chaikin, and E. Herbolzheimer, Phys. Rev. Lett. 60, 1134 (1988).
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(1988)
Phys. Rev. Lett.
, vol.60
, pp. 1134
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Pine, D.J.1
Weitz, D.A.2
Chaikin, P.M.3
Herbolzheimer, E.4
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11
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85036266316
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D. A. Weitz and D. J. Pine, in Dynamic Light Scattering, edited by W. Brown (Clarendon, Press, Oxford, 1993), p. 652
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D. A. Weitz and D. J. Pine, in Dynamic Light Scattering, edited by W. Brown (Clarendon, Press, Oxford, 1993), p. 652.
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13
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85036170771
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Incident sound penetrates an average distance l into the sample before the first scattering event occurs, and similarly travels an average distance l before leaving the sample after the last scattering event. Thus, for n scattering events, the total average path length s through the sample is the sum of the distance between the first and last scatterers, (Formula presented), and the distance (Formula presented) traveled inside the sample before the first and after the last scattering events, giving (Formula presented)
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Incident sound penetrates an average distance l into the sample before the first scattering event occurs, and similarly travels an average distance l before leaving the sample after the last scattering event. Thus, for n scattering events, the total average path length s through the sample is the sum of the distance between the first and last scatterers, (Formula presented), and the distance (Formula presented) traveled inside the sample before the first and after the last scattering events, giving (Formula presented).
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14
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85036336371
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To determine (Formula presented) for a simple shear flow with a velocity profile (Formula presented) we use Eq. (13) to write the field autocorrelation function in terms of the strain rate (Formula presented) as (Formula presented) 16 17. Thus, the factor (Formula presented) is given by (Formula presented) (Formula presented) is found by averaging (Formula presented) weighted by the probability that a scattered wave travels a distance r in any direction before being scattered again, this probability being given by (Formula presented). Hence, (Formula presented), giving (Formula presented)
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To determine (Formula presented) for a simple shear flow with a velocity profile (Formula presented) we use Eq. (13) to write the field autocorrelation function in terms of the strain rate (Formula presented) as (Formula presented) 1617. Thus, the factor (Formula presented) is given by (Formula presented) (Formula presented) is found by averaging (Formula presented) weighted by the probability that a scattered wave travels a distance r in any direction before being scattered again, this probability being given by (Formula presented). Hence, (Formula presented), giving (Formula presented).
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16
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84975555470
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X-L. Wu, D.J. Pine, P.M. Chaikin, J.S. Huang, and D.A. Weitz, J. Opt. Soc. Am. B 7, 15 (1990).
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(1990)
J. Opt. Soc. Am. B
, vol.7
, pp. 15
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Wu, X.-L.1
Pine, D.J.2
Chaikin, P.M.3
Huang, J.S.4
Weitz, D.A.5
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19
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85036291654
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W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992)
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W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
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20
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0029775271
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J.H. Page, P. Sheng, H.P. Schriemer, I. Jones, X. Jing, and D.A. Weitz, Science 271, 634 (1996).
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(1996)
Science
, vol.271
, pp. 634
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Page, J.H.1
Sheng, P.2
Schriemer, H.P.3
Jones, I.4
Jing, X.5
Weitz, D.A.6
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21
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0000205543
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M.L. Cowan, K. Beaty, J.H. Page, Z. Liu, and P. Sheng, Phys. Rev. E 58, 6626 (1998).
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(1998)
Phys. Rev. E
, vol.58
, pp. 6626
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Cowan, M.L.1
Beaty, K.2
Page, J.H.3
Liu, Z.4
Sheng, P.5
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22
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85036375468
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An alternative approach for measuring both the diffusion coefficient and the transport mean free path is to use time-dependent coherent backscattering 23
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An alternative approach for measuring both the diffusion coefficient and the transport mean free path is to use time-dependent coherent backscattering 23.
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23
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0000177573
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A. Tourin, A. Derode, P. Roux, B.A. van Tiggelen, and M. Fink, Phys. Rev. Lett. 79, 3637 (1997).
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(1997)
Phys. Rev. Lett.
, vol.79
, pp. 3637
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Tourin, A.1
Derode, A.2
Roux, P.3
van Tiggelen, B.A.4
Fink, M.5
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24
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0000505216
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Z.Q. Zhang, I.P. Jones, H.P. Schriemer, J.H. Page, D.A. Weitz, and P. Sheng, Phys. Rev. E 60, 4843 (1999).
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(1999)
Phys. Rev. E
, vol.60
, pp. 4843
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Zhang, Z.Q.1
Jones, I.P.2
Schriemer, H.P.3
Page, J.H.4
Weitz, D.A.5
Sheng, P.6
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