Time reversal method for thermoacoustic acoustic tomography in elastic media: convergence with sharp observation time
Vitaly Katsnelson, Linh V. Nguyen
TL;DR
This paper proves that the time reversal method for photoacoustic tomography in elastic media converges with the sharp observation time, regardless of wave speeds, enhancing the theoretical understanding of inverse source problems.
Contribution
It establishes convergence of the time reversal method in elastic media without constraints on wave speeds, extending previous results to more general conditions.
Findings
Convergence of the time reversal method is proven for elastic media.
No constraints on longitudinal and shear wave speeds are required.
The method works with the sharp observation time.
Abstract
In this article, we consider the inverse source problem arising in photoacoustic tomography in elastic media. We show that the time reversal method, proposed by Tittelfitz [Inverse Problems 28.5 (2012): 055004], converges with the sharp observation time without any constraint on the speeds of the longitudinal and shear waves.
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Taxonomy
TopicsPhotoacoustic and Ultrasonic Imaging · Thermography and Photoacoustic Techniques · Advanced X-ray and CT Imaging