Inverse Scattering and Acousto-Optic Imaging

John C SchotlandUniversity of PennsylvaniaPhiladelphia, PA

schotland@seas.upenn.edu

Joint work with Guillaume Bal

Inverse problems with interior control

Acousto-optic imaging

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Acousto-optic images

Courtesy of Lihong Wang

Overview

Model I

Model II

Propagation of diffuse light I

Propagation of diffuse light II

Size of acousto-optic effect

The experiment

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D

Fix the source and detector and measure the transmitted

intensity as the wavevector of the acoustic wave is varied

Inverse problem

Inverse problem (iterative method)

Inverse problem and the 0-Laplacian

Reconstruction of absorption and scattering

Remarks

Results of Ammari et al. (2008)

Conductivity distribution

Reconstructions

Remarks

Conclusions