Transport-Based Imaging in Random Media

DOI10.1137/070690122zbMath1156.35482OpenAlexW1988037066MaRDI QIDQ3549339

Kui Ren, Guillaume Bal

Publication date: 22 December 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0f235802511119a53b4a055400c04093efa044e9

zbMATH Keywords

inverse problemsradiative transfer equationimaging in random mediaFoldy-Lax modelhigh frequency waves in random media

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Inverse problems for PDEs (35R30) Composite media; random media in optics and electromagnetic theory (78A48) PDEs with randomness, stochastic partial differential equations (35R60) Applications to the sciences (65Z05) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (14)

On the stability of some imaging functionals ⋮ Monte Carlo Methods for Radiative Transfer with Singular Kernels ⋮ Fluctuations in the homogenization of semilinear equations with random potentials ⋮ Inverse Random Potential Scattering for Elastic Waves ⋮ Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption ⋮ A fast algorithm for radiative transport in isotropic media ⋮ IMAGING USING TRANSPORT MODELS FOR WAVE–WAVE CORRELATIONS ⋮ Separability of the Kernel Function in an Integral Formulation for the Anisotropic Radiative Transfer Equation ⋮ Dynamics of Wave Scintillation in Random Media ⋮ Semiclassical limit of an inverse problem for the Schrödinger equation ⋮ Recovery of coefficients in the linear Boltzmann equation ⋮ Imaging point sources in heterogeneous environments ⋮ An inverse problem for the linear Boltzmann equation with a time-dependent coefficient ⋮ Recovery of the absorption coefficient in radiative transport from a single measurement

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