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Acoustic Wave Correlation Tomography of Time-Varying Disordered Structures

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
An original model based on first principles is constructed for the temporal correlation of acoustic waves propagating in random scattering media. The model describes the dynamics of wave fields in a previously unexplored, moderately strong (mesoscopic) scattering regime, intermediate between those of weak scattering, on the one hand, and diffusing waves, on the other. It is shown that by considering the wave vector as a free parameter that can vary at will, one can provide an additional dimension to the data, resulting in a tomographic-type reconstruction of the full space-time dynamics of a complex structure, instead of a plain spectroscopic technique. In Fourier space, the problem is reduced to a spherical mean transform defined for a family of spheres containing the origin, and therefore is easily invertible. The results may be useful in probing the statistical structure of various random media with both spatial and temporal resolution.
Rocznik
Strony
647--655
Opis fizyczny
Bibliogr. 38 poz., rys., wykr.
Twórcy
autor
  • Center for Advanced Imaging Systems, Department of Electrical and Electronics Engineering, Shamoon College of Engineering, Ashdod 77245, Israel
autor
  • Center for Advanced Imaging Systems, Department of Electrical and Electronics Engineering, Shamoon College of Engineering, Ashdod 77245, Israel
Bibliografia
  • 1. Bergmann P. G. (1946), The wave equation in a medium with a variable index of refraction, The Journal of the Acoustical Society of America, 17, 4, 329-333.
  • 2. Berne B. J., Pecora R. (1976), Dynamic light scattering, Wiley, New York.
  • 3. Carminati R., Elaloufi R., Greffet J.-J. (2004), Beyond the diffusing-wave spectroscopy model for the temporal fluctuations of scattered light, Physical Review Letters, 92, 21, 213903.
  • 4. Cerbino R., Trappe V. (2008), Differential dynamic microscopy: Probing wave vector dependent dynamics with a microscope, Physical Review Letters, 100, 18, 188102.
  • 5. Cormack A. M., Quinto E. T. (1980), A Radon transform on spheres through the origin in Rn and applications to the Darboux equation, Transactions of the American Mathematical Society, 260, 2, 575-581.
  • 6. Cowan M. L., Page J. H., Norisuye T., Weitz D. A. (2016), Dynamic sound scattering: Field fluctuation spectroscopy with singly scattered ultrasound in the near and far fields, The Journal of the Acoustical Society of America, 140, 3, 1992-2001.
  • 7. Cowan M. L., Page J. H., Weitz D. A. (2000), Velocity fluctuations in fluidized suspensions probed by ultrasonic correlation spectroscopy, Physical Review Letters, 85, 2, 453-456.
  • 8. Devaney A. J. (2012), Mathematical foundations of imaging, tomography and wavefield inversion, Cambridge University Press, Cambridge.
  • 9. Giavazzi F., Brogioli D., Trappe V., Bellini T., Cerbino R. (2009), Scattering information obtained by optical microscopy: Differential dynamic microscopy and beyond, Physical Review E, 80, 3, 031403.
  • 10. Gibson A. P., Hebden J. C., Arridge S. R. (2005), Recent advances in diffuse optical imaging, Physics in Medicine and Biology, 50, 4, R1-R43.
  • 11. Igarashi K., Norisuye T., Kobayashi K., Sugita K., Nakanishi H., Tran-Cong-Miyata Q. (2014), Dynamics of submicron microsphere suspensions observed by dynamic ultrasound scattering techniques in the frequency-domain, Journal of Applied Physics, 115, 20, 203506.
  • 12. Ishimaru A. (1978), Wave propagation and scattering in random media, Academic, New York.
  • 13. Kohyama M., Norisuye T., Tran-Cong-Miyata Q. (2009), Dynamics of microsphere suspensions probed by high-frequency dynamic ultrasound scattering, Macromolecules, 42, 3, 752-759.
  • 14. Konno T., Norisuye T., Sugita K., Nakanishi H., Tran-Cong-Miyata Q. (2016), Dynamics of micronsized particles in dilute and concentrated suspension probed by dynamic ultrasound scattering techniques, Ultrasonics, 65, 59-68.
  • 15. Ladd A. J. C., Gang H., Zhu J. X., Weitz D. A. (1995), Time-dependent collective diffusion of colloidal particles, Physical Review Letters, 74, 2, 318-321.
  • 16. Lahiri M., Wolf E., Fischer D. G., Shirai T. (2009), Determination of correlation functions of scattering potentials of stochastic media, Physical Review Letters, 102, 12, 123901.
  • 17. Li J. et al. (2005), Noninvasive detection of functional brain activity with near-infrared diffusing-wave spectroscopy, Journal of Biomedical Optics, 10, 044002.
  • 18. MacKintosh F. C., John S. (1989), Diffusing-wave spectroscopy and multiple scattering of light in correlated random media, Physical Review B, 40, 4, 2383-2406.
  • 19. Maret G., Wolf P. E. (1987), Multiple light scattering from disordered media. The effect of Brownian motion of scatterers, Zeitschrift für Physik B Condensed Matter, 65, 4, 409-413.
  • 20. Natterer F., Wübbeling F. (2001), Mathematical methods in image reconstruction, SIAM, Philadelphia.
  • 21. Nilsen S. J., Gast A. P. (1994), The influence of structure on diffusion in screened Coulombic suspensions, Journal of Chemical Physics, 101, 6, 4975-4985.
  • 22. Pine D. J., Weitz D. A., Chaikin P. M., Herboltzheimer E. (1988), Diffusing wave spectroscopy, Physical Review Letters, 60, 12, 1134-1137.
  • 23. Reufer M., Martinez V. A., Schurtenberger P., Poon W. C. K. (2012), Differential dynamic microscopy for anisotropic colloidal dynamics, Langmuir, 28, 10, 4618-4624.
  • 24. Rytov S. M., Kravtsov Y. A., Tatarskii V. I. (1989), Principles of statistical radiophysics, Springer, Berlin.
  • 25. Samelsohn G. (2009), Diffuse time tomography of strongly scattering random structures, Waves Random Complex Media, 19, 1, 11-27.
  • 26. Samelsohn G. (2016), Transmission tomography of forward-scattering structures, Journal of the Optical Society of America, 33, 6, 1181-1192.
  • 27. Samelsohn G. (2017), Invertible propagator for plane wave illumination of forward-scattering structures, Applied Optics, 56, 14, 4029-4038.
  • 28. Samelsohn G. (2018), Scattering of directed waves as an invertible Radon-to-Helmholtz mapping, Optik, 171, 384-392.
  • 29. Samelsohn G., Freilikher V. (2003), Spectral coherence of wave fields in random media, [in:] Wave Scattering in Complex Media: From Theory to Applications, B. van Tiggelen and S. Skipetrov [Eds.], pp. 189-201, Kluwer, Dordrecht.
  • 30. Samelsohn G., Freilikher V. (2004), Localization of classical waves in weakly scattering two-dimensional media with anisotropic disorder, Physical Review E, 70, 4, 046612.
  • 31. Samelsohn G., Freilikher V., Haridim M. (2008), Spectral coherence and time-domain transport of waves in random media, Physical Review E, 78, 6, 066602.
  • 32. Samelsohn G., Gredeskul S. A., Mazar R. (1999), Resonances and localization of classical waves in random systems with correlated disorder, Physical Review E, 60, 5, 6081-6090.
  • 33. Samelsohn G., Mazar R. (1996), Path-integral analysis of scalar wave propagation in multiple-scattering random media, Physical Review E, 54, 5, 5697-5706.
  • 34. Snieder R. (2006), The theory of coda wave interferometry, Pure and Applied Geophysics, 163, 2-3, 455-473.
  • 35. Stephen M. J. (1988), Temporal fluctuations in wave propagation in random media, Physical Review B, 37, 1, 1-5.
  • 36. Weitz D. A., Pine D. J. (1993), Diffusing wave spectroscopy, [in:] Dynamic light scattering: the method and some applications, W. Brown [Ed.], Oxford University Press, New York.
  • 37. Wolf E. (1996), Principles and development of diffraction tomography, [in:] Trends in Optics, A. Consortini [Ed.], Academic, San Diego, pp. 83-110.
  • 38. Yagle A. E. (1992), Inversion of spherical means using geometric inversion and Radon transforms, Inverse Problems, 8, 6, 949-964.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9333806f-64b6-4ef6-9595-4deac2edfe34
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