Fluctuation theory for radiative transfer in random media

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 112, Issue 4, 2011, Pages 660-670

  Bal, Guillaume ^a   Jing, Wenjia ^a  

^a Department of Earth and Environmental Sciences   (United States)

Author keywords

Corrector theory; Geophysical and medical imaging; Homogenization; Inverse problems; Radiative transfer; Random coefficients

Indexed keywords

BOUNDARY MEASUREMENTS; CENTRAL LIMIT; CONSTITUTIVE PARAMETERS; CORRECTOR THEORY; CORRELATION LENGTHS; DECORRELATIONS; FLUCTUATION THEORY; GEOPHYSICAL AND MEDICAL IMAGING; HOMOGENIZATION; RADIATIVE TRANSFER EQUATIONS; RANDOM COEFFICIENTS; RANDOM FLUCTUATION; RANDOM MEDIA; RANDOM MEDIUM; RANDOM OSCILLATIONS; RANDOM STRUCTURES; SMALL SCALE; TRANSPORT EQUATION; TRANSPORT MEASUREMENTS; TRANSPORT PROBLEMS; TRANSPORT SOLUTION;

DIFFERENTIAL EQUATIONS; GEOPHYSICS; MATHEMATICAL OPERATORS; MEDICAL IMAGING; MEDICAL PROBLEMS; RADIATIVE TRANSFER;

INVERSE PROBLEMS;

CORRELATION; IMAGING METHOD; INVERSE ANALYSIS; INVERSE PROBLEM; RADIATIVE TRANSFER; THEORETICAL STUDY;

EID: 78751566723     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2010.07.004     Document Type: Article

References (19)

1. Arridge S.R. Optical tomography in medical imaging. Inverse Probl 1999, 15:R41-R93.
2. Bal G. Central limits and homogenization in random media. Multiscale Model Simul 2008, 7(2):677-702.
3. Bal G. Inverse transport theory and applications. Inverse Probl 2009, 25:053001.
4. Bal G., Garnier J., Motsch S., Perrier V. Random integrals and correctors in homogenization. Asymptot Anal 2008, 59(1-2):1-26.
5. Bal G, Jing W. Homogenization and corrector theory for linear transport in random media. Disc Cont Dyn Syst 2010;28(4):1311-43.
6. Bal G., Jollivet A. Stability estimates in stationary inverse transport. Inverse Probl Imaging 2008, 2(4):427-454.
7. Bal G., Ren K. Physics-based models for measurement correlations. Application to an inverse Sturm-Liouville problem. Inverse Probl 2009, 25:055006.
8. Chandrasekhar S. Radiative transfer 1960, Dover Publications, New York.
9. Choulli M., Stefanov P. An inverse boundary value problem for the stationary transport equation. Osaka J Math 1999, 36:87-104.
10. Dautray R., Lions J.-L. Mathematical analysis and numerical methods for science and technology 1993, vol. 6. Springer-Verlag, Berlin.
11. Davis A.B., Mineev-Weinstein M.B. Radiation propagation in random media: from positive to negative correlations in high-frequency fluctuations. J Quant Spectrosc Radiat Transfer 2011, 112:632-645.
12. Dumas L., Golse F. Homogenization of transport equations. SIAM J Appl Math 2000, 60:1447-1470.
13. Ishimaru A. Wave propagation and scattering in random media 1978, Academic Press, New York.
14. Kaipio J., Somersalo E. Statistical and computational inverse problems 2005, Springer, New York.
15. Larsen E.W., Liang L. The atomic mix approximation for charged particle transport. SIAM J Appl Math 2007, 68:43-58.
16. Levermore C.D., Pomraning G.C., Sanzo D.L., Wong J. Linear transport theory in a random medium. J Math Phys 1986, 27:2526-2536.
17. Marshak A., Davis A.B. 3D radiative transfer in cloudy atmospheres 2005, Springer, New York.
18. Pomraning G.C. Linear kinetic theory and particle transport in stochastic mixtures 1991, World Scientific Press, Singapore.
19. Reed M., Simon B. Methods of modern mathematical physics 1975, vol. II. Academic Press, New York.