Imaging using transport models for wave-wave correlations

Mathematical Models and Methods in Applied Sciences

Volumn 21, Issue 5, 2011, Pages 1071-1093

  Bal, Guillaume ^a   Pinaud, Olivier ^b  

^a Columbia University ^*  (United States)

^b UNIVERSITÉ LYON 1   (France)

Author keywords

imaging; radiative transfer; Random media

Indexed keywords

IMAGING TECHNIQUES; MAXWELL EQUATIONS; RADIATIVE TRANSFER; REPAIR; WAVE PROPAGATION;

HETEROGENEOUS MEDIA; HETEROGENEOUS MEDIUM; INVERSION METHODOLOGY; MICROSCOPIC DESCRIPTION; NUMERICAL RESULTS; RADIATIVE TRANSFER EQUATIONS; RANDOM MEDIA; TRANSPORT EQUATION;

ACOUSTICS;

EID: 79953051008     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202511005258     Document Type: Article

References (30)

1. G. Bal, On the self-averaging of wave energy in random media, SIAM Mult. Mod. Simul. 2(2004) 398-420.
2. G. Bal, Kinetics of scalar wave fields in random media, Wave Motion 43(2005) 132-157. (Pubitemid 41700293)
3. -, Homogenization in random media and effective medium theory for high frequency waves, Discrete Contin. Dyn. Syst. Ser. B 8(2007) 473-492 (electronic).
4. G. Bal, T. Komorowski and L. Ryzhik, Self-averaging of Wigner transforms in random media, Commun. Math. Phys. 242(2003) 81-135. (Pubitemid 37417714)
5. G. Bal, I. Langmore and O. Pinaud, Single scattering estimates for the scintillation function of waves in random media, submitted (2009).
6. G. Bal, G. Papanicolaou and L. Ryzhik, Self-averaging in time reversal for the parabolic wave equation, Stoch. Dyn. 4(2002) 507-531.
7. G. Bal and O. Pinaud, Time reversal-based imaging in random media, Inverse Problems 21(2005) 1593-1620.
8. -, Accuracy of transport models for waves in random media, Wave Motion 43(2006) 561-578. (Pubitemid 44184752)
9. -, Kinetic models for imaging in random media, SIAM Multiscale Model. Simul. 6(2007) 792-819.
10. -, Self-averaging of kinetic models in random media, Kinetic Relat. Models 1(2008) 85-100.
11. G. Bal and K. Ren, Transport-based imaging in random media, SIAM Appl. Math. 68(2008) 1738-1762.
12. J. P. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114(1994) 185-200.
13. -, Three-dimensional perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 127(1996) 363-379.
14. L. Borcea, G. Papanicolaou and C. Tsogka, Interferometric array imaging in clutter, Inverse Problems 21(2005) 1419-1460. (Pubitemid 41090549)
15. -, Adaptive interferometric imaging in clutter and optimal illumination, Inverse Problems 22(2006) 1405-1436. (Pubitemid 44102186)
16. -, Coherent interferometry in finely layered random media, Multiscale Model. Simul. 5(2006) 62-83 (electronic). (Pubitemid 46380322)
17. -, Optimal waveform design for array imaging, Inverse Problems 23(2007) 1973-2020. (Pubitemid 351453854)
18. S. Chandrasekhar, Radiative Transfer (Dover, 1960).
19. J. F. Claerbout, Fundamentals of Geophysical Data Processing: With Applications to Petroleum Prospecting (Blackwell, 1985).
20. M. Fink, Time reversed acoustics, Phys. Today 50(1997) 34-40. (Pubitemid 127646961)
21. J.-P. Fouque, J. Garnier, G. Papanicolaou and K. Solna, Wave Propagation and Time Reversal in Randomly Layered Media, Stochastic Modelling and Applied Probability, Vol. 56 (Springer, 2007).
22. J. Garnier and G. Papanicolaou, Passive sensor imaging using cross correlations of noisy signals in a scattering medium, SIAM J. Imaging Sci. 2(2009) 396-437.
23. P. Gerard, P. A. Markowich, N. J. Mauser and F. Poupaud, Homogenization limits and Wigner transforms, Comm. Pure Appl. Math. 50(1997) 323-380. (Pubitemid 127085907)
24. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic Press, 1978).
25. P.-L. Lions and T. Paul, Sur les mesures de Wigner, Rev. Mat. Iberoamericana 9(1993) 553-618.
26. J. Lukkarinen and H. Spohn, Kinetic limit for wave propagation in a random medium, Arch. Rational Mech. Anal. 183(2007) 93-162. (Pubitemid 44598889)
27. G. Papanicolaou, L. Ryzhik and K. Solna, Self-averaging from lateral diversity in the Itô-Schrodinger equation, Multiscale Model. Simul. 6(2007) 468-492 (electronic).
28. L. Ryzhik, G. Papanicolaou and J. B. Keller, Transport equations for elastic and other waves in random media, Wave Motion 24(1996) 327-370. (Pubitemid 126324199)
29. P. Sheng, Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (Academic Press, 1995).
30. P. J. Shull, Nondestructive Evaluation. Theory, Techniques and Applications (Marcel Dekker, 2002).