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arXiv · 2408.12759

An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination

Shitao Liu·Gunther Uhlmann·Yang Yang
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Abstract

We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover both the wave speed and the initial ultrasound pressure from a single ultrasound signal. In particular, our result shows that the ratio of the initial ultrasound pressure and the wave speed squared uniquely determines both of them respectively.

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Shitao Liu, Gunther Uhlmann, Yang Yang. 2024-08-22. An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination. https://doi.org/10.2140/paa.2026.8.477

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