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Abstract: We study the mathematical model of thermoacoustic and photoacoustictomography when the sound speed has a jump across a smooth surface. This modelsthe change of the sound speed in the skull when trying to image the humanbrain. We derive an explicit inversion formula in the form of a convergentNeumann series under the assumptions that all singularities from the support ofthe source reach the boundary.



Author: Plamen Stefanov, Gunther Uhlmann

Source: https://arxiv.org/



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