Department of Computer Systems

Journal article

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. 2019, vol. 146, no. 1, pp. 278-288. ISSN 1520-8524. Available from:
Publication language:english
Original title:Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods
Title (cs):Reprezentace libovolné distribuce akustických zdrojů a senzorů ve Fourierově kolokační metodě
Journal:The Journal of the Acoustical Society of America, Vol. 146, No. 1, US
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Fourier collocation method, acoustic source, acoustic sensor, staircaisng
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.
   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 = {}

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