Faculty of Information Technology, BUT

Publication Details

Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods

WISE Elliott S., COX Ben T., JAROŠ Jiří and TREEBY Bradley E. Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods. The Journal of the Acoustical Society of America, vol. 146, no. 1, pp. 278-288. ISSN 1520-8524. Available from: https://asa.scitation.org/doi/10.1121/1.5116132
Czech title
Reprezentace libovolné distribuce akustických zdrojů a senzorů ve Fourierově kolokační metodě
Type
journal article
Language
english
Authors
Wise Elliott S. (UCL)
Cox Ben T. (UCL)
Jaroš Jiří, doc. Ing., Ph.D. (DCSY FIT BUT)
Treeby Bradley E. (UCL)
URL
Keywords
Fourier collocation method, acoustic source, acoustic sensor, staircaisng
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.
Published
2019
Pages
278-288
Journal
The Journal of the Acoustical Society of America, vol. 146, no. 1, ISSN 1520-8524
Publisher
American Institute of Physics for the Acoustical Society of America
DOI
BibTeX
@ARTICLE{FITPUB11792,
   author = "S. Elliott Wise and T. Ben Cox and Ji\v{r}\'{i} Jaro\v{s} and E. Bradley Treeby",
   title = "Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods",
   pages = "278--288",
   journal = "The Journal of the Acoustical Society of America",
   volume = 146,
   number = 1,
   year = 2019,
   ISSN = "1520-8524",
   doi = "10.1121/1.5116132",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11792"
}
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