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Volumn 65, Issue 6, 2002, Pages

Diffusing acoustic wave spectroscopy

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE TRANSPORT; DIFFUSING ACOUSTIC WAVE SPECTROSCOPY (DAWS); OPAQUE MATERIALS; TEMPORAL CORRELATION FUNCTIONS;

EID: 41349087027     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066605     Document Type: Article
Times cited : (83)

References (29)
  • 1
    • 85036282166 scopus 로고    scopus 로고
    • L. C. Lynnworth, Ultrasonic Measurements for Process Control (Academic Press, New York, 1989)
    • L. C. Lynnworth, Ultrasonic Measurements for Process Control (Academic Press, New York, 1989).
  • 2
    • 85036323797 scopus 로고    scopus 로고
    • A. Briggs, An Introduction to Scanning Acoustic Microscopy (Oxford University Press, Oxford, 1985)
    • A. Briggs, An Introduction to Scanning Acoustic Microscopy (Oxford University Press, Oxford, 1985).
  • 3
    • 85036268968 scopus 로고    scopus 로고
    • D. H. Evans, Doppler Ultrasound: Physics, Instrumentation, and Clinical Applications (Wiley, New York, 1989)
    • D. H. Evans, Doppler Ultrasound: Physics, Instrumentation, and Clinical Applications (Wiley, New York, 1989).
  • 6
    • 85036250022 scopus 로고    scopus 로고
    • 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
    • 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.
  • 11
    • 85036266316 scopus 로고    scopus 로고
    • D. A. Weitz and D. J. Pine, in Dynamic Light Scattering, edited by W. Brown (Clarendon, Press, Oxford, 1993), p. 652
    • D. A. Weitz and D. J. Pine, in Dynamic Light Scattering, edited by W. Brown (Clarendon, Press, Oxford, 1993), p. 652.
  • 13
    • 85036170771 scopus 로고    scopus 로고
    • 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)
    • 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).
  • 14
    • 85036336371 scopus 로고    scopus 로고
    • 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)
    • 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).
  • 19
    • 85036291654 scopus 로고    scopus 로고
    • W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992)
    • W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
  • 22
    • 85036375468 scopus 로고    scopus 로고
    • An alternative approach for measuring both the diffusion coefficient and the transport mean free path is to use time-dependent coherent backscattering 23
    • An alternative approach for measuring both the diffusion coefficient and the transport mean free path is to use time-dependent coherent backscattering 23.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.