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arxiv: 1604.06068 · v3 · pith:VW6LQ4V6new · submitted 2016-04-20 · 🧮 math.AP

Reconstruction for multiwave imaging in attenuating media with large damping coefficient

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keywords reconstructionattenuatinglargemediaresultarbitraryarticleattenuation
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In this article we study the reconstruction problem in TAT/PAT on an attenuating media. Namely, we prove a reconstruction procedure of the initial condition for the damped wave equation via Neumann series that works for arbitrary large smooth attenuation coefficients extending the result of Homan in [1]. We also illustrate the theoretical result by including some numerical experiments at the end of the paper.

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