**43**, 4, pp. 647–655, 2018

**10.24425/aoa.2018.125158**

### Acoustic Wave Correlation Tomography of Time-Varying Disordered Structures

**Keywords**: wave scattering; random media; time correlation; tomographic reconstruction

**Full Text:**PDF

#### References

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.

Berne B.J., Pecora R. (1976), Dynamic light scattering, Wiley, New York.

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.

Cerbino R., Trappe V. (2008), Differential dynamic microscopy: Probing wave vector dependent dynamics with a microscope, Physical Review Letters, 100, 18, 188102.

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.

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.

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.

Devaney A.J. (2012), Mathematical foundations of imaging, tomography and wavefield inversion, Cambridge University Press, Cambridge.

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.

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.

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.

Ishimaru A. (1978), Wave propagation and scattering in random media, Academic, New York.

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.

Konno T., Norisuye T., Sugita K., Nakanishi H., Tran-Cong-Miyata Q. (2016), Dynamics of micronsized particles in dilute and concentrated suspensions probed by dynamic ultrasound scattering techniques, Ultrasonics, 65, 59–68.

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.

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.

Li J. et al. (2005), Noninvasive detection of functional brain activity with near-infrared diffusing-wave spectroscopy, Journal of Biomedical Optics, 10, 044002.

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.

Maret G., Wolf P.E. (1987), Multiple light scattering from disordered media. The effect of Brownian motion of scatterers, Zeitschrift f¨ur Physik B Condensed Matter, 65, 4, 409–413.

Natterer F., W¨ubbeling F. (2001), Mathematical methods in image reconstruction, SIAM, Philadelphia.

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.

Pine D.J., Weitz D.A., Chaikin P.M., Herboltzheimer E. (1988), Diffusing wave spectroscopy, Physical Review Letters, 60, 12, 1134–1137.

Reufer M., Martinez V.A., Schurtenberger P., Poon W.C.K. (2012), Differential dynamic microscopy for anisotropic colloidal dynamics, Langmuir, 28, 10, 4618–4624.

Rytov S.M., Kravtsov Y.A., Tatarskii V.I. (1989), Principles of statistical radiophysics, Springer, Berlin.

Samelsohn G. (2009), Diffuse time tomography of strongly scattering random structures, Waves Random Complex Media, 19, 1, 11–27.

Samelsohn G. (2016), Transmission tomography of forward-scattering structures, Journal of the Optical Society of America, 33, 6, 1181–1192.

Samelsohn G. (2017), Invertible propagator for plane wave illumination of forward-scattering structures, Applied Optics, 56, 14, 4029–4038.

Samelsohn G. (2018), Scattering of directed waves as an invertible Radon-to-Helmholtz mapping, Optik, 171, 384–392.

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.

Samelsohn G., Freilikher V. (2004), Localization of classical waves in weakly scattering two-dimensional media with anisotropic disorder, Physical Review E, 70, 4, 046612.

Samelsohn G., Freilikher V., Haridim M. (2008), Spectral coherence and time-domain transport of waves in random media, Physical Review E, 78, 6, 066602.

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.

Samelsohn G., Mazar R. (1996), Path-integral analysis of scalar wave propagation in multiple-scattering random media, Physical Review E, 54, 5, 5697–5706.

Snieder R. (2006), The theory of coda wave interferometry, Pure and Applied Geophysics, 163, 2–3, 455–473.

Stephen M.J. (1988), Temporal fluctuations in wave propagation in random media, Physical Review B, 37, 1, 1–5.

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.

Wolf E. (1996), Principles and development of diffraction tomography, [in:] Trends in Optics, A. Consortini [Ed.], Academic, San Diego, pp. 83–110.

Yagle A.E. (1992), Inversion of spherical means using geometric inversion and Radon transforms, Inverse Problems, 8, 6, 949–964.

DOI: 10.24425/aoa.2018.125158

Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN)