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Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods

Wise, ES; Cox, BT; Jaros, J; Treeby, BE; (2019) Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods. Journal of the Acoustical Society of America , 146 (1) , Article 278. 10.1121/1.5116132. Green open access

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Abstract

Accurately representing acoustic source distributions is an important part of ultrasound simulation. This is challenging for grid-based collocation methods when such distributions do not coincide with the grid points, for instance when the source is a curved, two-dimensional surface embedded in a three-dimensional domain. Typically, grid points close to the source surface are defined as source points, but this can result in "staircasing" and substantial errors in the resulting acoustic fields. This paper describes a technique for accurately representing arbitrary source distributions within Fourier collocation methods. The method works by applying a discrete, band-limiting convolution operator to the continuous source distribution, after which source grid weights can be generated. This allows arbitrarily shaped sources, for example, focused bowls and circular pistons, to be defined on the grid without staircasing errors. The technique is examined through simulations of a range of ultrasound sources, and comparisons with analytical solutions show excellent accuracy and convergence rates. Extensions of the technique are also discussed, including application to initial value problems, distributed sensors, and moving sources.

Type: Article
Title: Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods
Open access status: An open access version is available from UCL Discovery
DOI: 10.1121/1.5116132
Publisher version: https://doi.org/10.1121/1.5116132
Language: English
Additional information: © 2019 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/ 4.0/).
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10079376
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