Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods Article Swipe
Elliott S. Wise
,
Ben Cox
,
Jiří Jaroš
,
Bradley E. Treeby
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1121/1.5116132
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1121/1.5116132
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.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1121/1.5116132
- OA Status
- hybrid
- Cited By
- 41
- References
- 12
- Related Works
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- OpenAlex ID
- https://openalex.org/W2962971798
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https://openalex.org/W2962971798Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1121/1.5116132Digital Object Identifier
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Representing arbitrary acoustic source and sensor distributions in Fourier collocation methodsWork title
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articleOpenAlex work type
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enPrimary language
- Publication year
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2019Year of publication
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2019-07-01Full publication date if available
- Authors
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Elliott S. Wise, Ben Cox, Jiří Jaroš, Bradley E. TreebyList of authors in order
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https://doi.org/10.1121/1.5116132Publisher landing page
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YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
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https://doi.org/10.1121/1.5116132Direct OA link when available
- Concepts
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Collocation (remote sensing), Acoustics, Fourier transform, Computer science, Mathematics, Physics, Mathematical analysis, Machine learningTop concepts (fields/topics) attached by OpenAlex
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41Total citation count in OpenAlex
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2025: 3, 2024: 5, 2023: 12, 2022: 4, 2021: 13Per-year citation counts (last 5 years)
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12Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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