Kinetic Models for Imaging in Random Media
@article{Bal2007KineticMF, title={Kinetic Models for Imaging in Random Media}, author={Guillaume Bal and Olivier Pinaud}, journal={Multiscale Model. Simul.}, year={2007}, volume={6}, pages={792-819} }
We derive kinetic models for the correlations and the energy densities of wave fields propagating in random media. These models take the form of radiative transfer and diffusion equations. We use these macroscopic models to address the detection and imaging of small objects buried in highly heterogeneous media. More specifically, we quantify 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…
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