Transport-Based Imaging in Random Media

@article{Bal2008TransportBasedII,
  title={Transport-Based Imaging in Random Media},
  author={Guillaume Bal and Kui Ren},
  journal={SIAM J. Appl. Math.},
  year={2008},
  volume={68},
  pages={1738-1762}
}
This paper generalizes well-established derivations of the radiative transfer equation from first principles to model the energy density of time-dependent and monochromatic high frequency waves pro... 
Experimental validation of a transport-based imaging method in highly scattering environments
We demonstrate the effectiveness of a transport-based reconstruction method for imaging in highly scattering environments. Experimentally measured wave energy data in the micro-wave regime are used
Inverse Source Problems for Time-Dependent Radiative Transport
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/76340
Inverse problems in random media: a kinetic approach
We consider the validity and accuracy of kinetic equations to model the propagation of high frequency waves in highly heterogeneous media. The kinetic models are used to infer the macroscopic
Monte Carlo Methods for Radiative Transfer with Singular Kernels
This work is devoted to Monte Carlo methods for radiative transfer equations with singular kernels, and is motivated by the study of wave propagation in random media with long-range dependence. As ...
IMAGING USING TRANSPORT MODELS FOR WAVE–WAVE CORRELATIONS
We consider the imaging of objects buried in unknown heterogeneous media. The medium is probed by using classical (e.g. acoustic or electromagnetic) waves. When heterogeneities in the medium become
A backscattering model based on corrector theory of homogenization for the random Helmholtz equation
This work concerns the analysis of wave propagation in random media. Our medium of interest is sea ice, which is a composite of a pure ice background and randomly located inclusions of brine and air.
On the stability of some imaging functionals
This work is devoted to the stability/resolution analysis of several imaging functionals in complex environments. We consider both linear functionals in the wavefield as well as quadratic functionals
Derivation of a one-way radiative transfer equation in random media.
We derive from first principles a one-way radiative transfer equation for the wave intensity resolved over directions (Wigner transform of the wave field) in random media. It is an initial value
Imaging point sources in heterogeneous environments
TLDR
Stability of reconstructing point sources in heterogeneous media with respect to measurement error as well as smooth changes in the environment, that is, the refractive index is derived.
...
...

References

SHOWING 1-10 OF 45 REFERENCES
Experimental validation of a transport-based imaging method in highly scattering environments
We demonstrate the effectiveness of a transport-based reconstruction method for imaging in highly scattering environments. Experimentally measured wave energy data in the micro-wave regime are used
Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer
TLDR
Numerical simulations with synthetic data show that the cross-talk between the two optical parameters is significantly reduced in reconstructions based on frequency-domain data as compared to those based on steady-state data.
Optical tomography in medical imaging
We present a review of methods for the forward and inverse problems in optical tomography. We limit ourselves to the highly scattering case found in applications in medical imaging, and to the
Kinetic Models for Imaging in Random Media
TLDR
This work quantifies the influence of small objects on (i) the energy density measured at an array of detectors and (ii) the correlation between the wave field measured in the absence of the object and theWave field measuredIn the presence of the objects.
Frequency Content of Randomly Scattered Signals
The statistical properties of acoustic signals reflected by a randomly layered medium are analyzed when a pulsed spherical wave issuing from a point source is incident upon it. The asymptotic analy...
Interferometric array imaging in clutter
We introduce a space-time interferometric array imaging functional that provides statistically stable images in cluttered environments. We also present a resolution theory for this imaging functional
Transport equations for elastic and other waves in random media
LETTER TO THE EDITOR: Reconstruction of the coefficients of the stationary transport equation from boundary measurements
We study the inverse problem of recovering the absorption coefficient and the collision kernel in the stationary linear Boltzmann equation in a bounded domain from the albedo operator on the
Accuracy of transport models for waves in random media
Kinetics of scalar wave fields in random media
...
...