Hamilton-Green solver for the forward and adjoint problems in photoacoustic tomography

DOI10.1016/j.jcp.2021.110797OpenAlexW3208602158MaRDI QIDQ2136483

Francesc Rul\(\cdot\)lan, Marta M. Betcke

Publication date: 10 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.13196

zbMATH Keywords

wave equationGreen's functionray tracinghigh frequencyphotoacoustic tomography

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx) General topics in optics and electromagnetic theory (78Axx)

Uses Software

• Matlab
• k-Wave
• OASES

Cites Work

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• An Eulerian method for capturing caustics
• High-frequency wave propagation by the segment projection method
• A direct method for photoacoustic tomography with inhomogeneous sound speed
• On the adjoint operator in photoacoustic tomography
• Time Reversal as a Computational Tool in Acoustics and Elastodynamics
• An Efficient Neumann Series–Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed
• A Linearised inverse problem for the wave equation
• Fast Marching Methods
• Computational high frequency wave propagation
• Fast-phase space computation of multiple arrivals
• Joint reconstruction of the initial pressure and speed of sound distributions from combined photoacoustic and ultrasound tomography measurements
• A fast marching level set method for monotonically advancing fronts.
• Mathematics of Photoacoustic and Thermoacoustic Tomography
• Thermoacoustic tomography with variable sound speed
• A Local Level Set Method for Paraxial Geometrical Optics

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