Reconstructions in Ultrasound Modulated Optical Tomography

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Allmaras, Moritz
Bangerth, Wolfgang
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Abstract
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We introduce a mathematical model for ultrasound modulated optical tomography and present a simple reconstruction scheme for recovering the spatially varying optical absorption coefficient from scanning measurements with narrowly focused ultrasound signals. Computational results for this model show that the reconstruction of sharp features of the absorption coefficient is possible. A formal linearization of the model leads to an equation with a Fredholm operator, which explains the stability observed in our numerical experiments.
Comment: Section 2 now contains a more detailed derivation of the mathematical model.
Keywords
Mathematics - Analysis of PDEs, Mathematical Physics, 35Q92, 35R30, 65N20, 92C55
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