Thermoacoustic Tomography with Circular Integrating Detectors and\n Variable Wave Speed

2019/07/01 by Chase Mathison, Mathison, Chase
Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #Photoacoustic and Ultrasonic Imaging #Thermoelastic and Magnetoelastic Phenomena #Thermography and Photoacoustic Techniques

paper · pdf · doi:10.48550/arxiv.1907.01061

openalex publication_date 2019/07/01 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

We explore Thermoacoustic Tomography with circular integrating detectors\nassuming variable, smooth wave speed. We show that the measurement operator in\nthis case is a Fourier Integral Operator and examine how the singularities in\ninitial data and measured data are related through the canonical relation of\nthis operator. We prove which of those singularities in the initial data are\nvisible from a fixed open subset of the set on which measurements are taken. In\naddition, numerical results are shown for both full and partial data.\n

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