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We consider the mathematical model of photoacoustic and thermoacoustic tomography in media with a variable sound speed. When the sound speed is known, the explicit reconstruction formula by P. Stefanov and G. Uhlmann (Inverse Problems,…

Analysis of PDEs · Mathematics 2013-07-08 Lauri Oksanen , Gunther Uhlmann

A crucial limitation of current high-resolution 3D photoacoustic tomography (PAT) devices that employ sequential scanning is their long acquisition time. In previous work, we demonstrated how to use compressed sensing techniques to improve…

Numerical Analysis · Mathematics 2020-09-07 Felix Lucka , Nam Huynh , Marta Betcke , Edward Zhang , Paul Beard , Ben Cox , Simon Arridge

Quantitative tissue information, like the light scattering properties, is considered as a key player in the detection of cancerous cells in medical diagnosis. A promising method to obtain these data is optical coherence tomography (OCT). In…

Numerical Analysis · Mathematics 2023-06-21 Leopold Veselka , Peter Elbau , Leonidas Mindrinos , Lisa Krainz , Wolfgang Drexler

Granular materials are inherently heterogeneous, leading to challenges in formulating accurate models of sound propagation. In order to quantify acoustic responses in space and time, we perform experiments in a photoelastic granular…

Materials Science · Physics 2015-05-19 Eli T. Owens , Karen E. Daniels

Photoacoustic tomography (PAT) is a novel and promising technology in hybrid medical imaging that involves generating acoustic waves in the object of interest by stimulating electromagnetic energy. The acoustic wave is measured outside the…

Numerical Analysis · Mathematics 2022-08-24 Minam Moon , Injo Hur , Sunghwan Moon

Quantitative photo-acoustic tomography (QPAT) seeks to reconstruct a distribution of optical attenuation coefficients inside a sample from a set of time series of pressure data that is measured outside the sample. The associated inverse…

Optimization and Control · Mathematics 2019-09-04 Ashkan Javaherian , Sean Holman

Partial transfer absorption imaging (PTAI) of ultracold atoms allows for repeated and minimally-destructive measurements of an atomic ensemble. Here, we present a reconstruction technique based on PTAI that can be used to piece together the…

Quantum Gases · Physics 2020-11-12 C. Mordini , D. Trypogeorgos , L. Wolswijk , G. Lamporesi , G. Ferrari

This article is devoted to the detection of parameters in anomalous diffusion from a single passive measurement. More precisely, we consider the simultaneous identification of coefficients as well as a time-dependent source term appearing…

Analysis of PDEs · Mathematics 2026-03-10 Maolin Deng , Ali Feizmohammadi , Bangti Jin , Yavar Kian

Random pulse sequences are a powerful method for qubit noise spectroscopy, enabling efficient reconstruction of sparse noise spectra. Here, we advance this method in two complementary directions. First, we extend the method using a…

Quantum Physics · Physics 2026-01-07 Kaixin Huang , Demitry Farfurnik , Dror Baron , Yi-Kai Liu

Purpose: Undersampling is used to reduce the scan time for high-resolution 3D magnetic resonance imaging. In order to achieve better image quality and avoid manual parameter tuning, we propose a probabilistic Bayesian approach to recover…

Image and Video Processing · Electrical Eng. & Systems 2022-10-20 Shuai Huang , James J. Lah , Jason W. Allen , Deqiang Qiu

Accurate knowledge of absorption coefficient of a sample is a prerequisite for measuring the third order optical nonlinearity of materials, which could become a serious limitation for unknown samples. We introduce a new method, which…

Optics · Physics 2007-05-23 S. Abbas Hosseini , A. Sharan , D. Goswami

Photoacoustic imaging is an emerging imaging modality that is based upon the photoacoustic effect. In photoacoustic tomography (PAT), the induced acoustic pressure waves are measured by an array of detectors and used to reconstruct an image…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Steven Guan , Amir Khan , Siddhartha Sikdar , Parag V. Chitnis

Accurate knowledge of absorption coefficient of a sample is a prerequisite for measuring the third order optical nonlinearity of materials, which can be a serious limitation for unknown samples. We introduce a method, which measures both…

Optics · Physics 2007-05-23 A. Sharan , S. Abbas Hosseini , D. Goswami

The importance of ultrasound is well established in the imaging of human tissue. In order to enhance image quality by exploiting nonlinear effects, recently techniques such as harmonic imaging and nonlinearity parameter tomography have been…

Analysis of PDEs · Mathematics 2025-02-13 Barbara Kaltenbacher

Photoacoustic detection is a sensitive method for measurement of light-absorbing particles directly in the aerosol phase. In this article, we demonstrate a new sensitive technique for photoacoustic aerosol absorption measurements using a…

Instrumentation and Detectors · Physics 2021-06-24 Juho Karhu , Joel Kuula , Aki Virkkula , Hilkka Timonen , Markku Vainio , Tuomas Hieta

Although the photoacoustic effect is most commonly generated by pulsed or amplitude modulated continuous optical sources, it is possible to generate acoustic waves by moving a constant amplitude, continuous light beam. If the light beam…

Applied Physics · Physics 2024-05-22 Xingchi Yan , Siyuan Song , Gerald J. Diebold

To obtain the initial pressure from the collected data on a planar sensor arrangement in photoacoustic tomography, there exists an exact analytic frequency domain reconstruction formula. An efficient realization of this formula needs to…

Photoacoustic tomography (PAT) is a newly emerged imaging modality which enables both high optical contrast and acoustic depth of penetration. Reconstructing images of photoacoustic tomography from limited amount of senser data is among one…

Computer Vision and Pattern Recognition · Computer Science 2023-06-27 Shangqing Tong , Hengrong Lan , Liming Nie , Jianwen Luo , Fei Gao

This paper aims to combine the advantages of the Jordan-Moore-Gibson-Thompson JMGT equation as an advanced model in nonlinear acoustics with a frequency domain formulation of the forward and inverse problem of acoustic nonlinearity…

Analysis of PDEs · Mathematics 2025-08-05 Barbara Kaltenbacher

With the development of terahertz time-domain spectroscopy, methods have been proposed to precisely estimate the thickness, refractive index, and attenuation coefficient of a sample. In this article, we propose a new method to compute these…