Publication Details

Rapid calculation of acoustic fields from arbitrary continuous-wave sources

TREEBY Bradley E., BUDISKÝ Jakub, WISE Elliott S., JAROŠ Jiří and COX Ben T. Rapid calculation of acoustic fields from arbitrary continuous-wave sources. The Journal of the Acoustical Society of America, vol. 2018, no. 143, pp. 529-537. ISSN 1520-8524. Available from: http://asa.scitation.org/doi/10.1121/1.5021245
Czech title
Rychlý výpočet akustického pole od libovolného zdroje kontinuálních vln
Type
journal article
Language
english
Authors
Treeby Bradley E. (UCL)
Budiský Jakub, Ing. (DCSY FIT BUT)
Wise Elliott S. (UCL)
Jaroš Jiří, doc. Ing., Ph.D. (DCSY FIT BUT)
Cox Ben T. (UCL)
URL
Keywords
Acoustic fields, Green's function, arbitrary shaped transducers, k-Wave
Abstract
An efficient Greens function solution is derived for calculating the acoustic field generated by phased array transducers of arbitrary shape when driven by a single frequency continuous wave excitation with spatially varying amplitude and phase. The solution is based on the Greens function for the homogeneous wave equation expressed in the spatial frequency domain or k-space. The temporal convolution integral is solved analytically, and the remaining integrals are expressed in the form of the spatial Fourier transform. This allows the acoustic pressure for all spatial positions at any time t > 0 to be calculated in a single step without numerical integration. In total, the extraction of the steady state amplitude and phase of the resulting wave field over the complete 3D domain of interest can be calculated using four fast Fourier transforms. The model is demonstrated through several numerical examples, including single element rectangular and spherically-focused bowl transducers, and multi-element linear and hemispherical arrays.
Published
2018
Pages
529-537
Journal
The Journal of the Acoustical Society of America, vol. 2018, no. 143, ISSN 1520-8524
Publisher
American Institute of Physics for the Acoustical Society of America
DOI
BibTeX
@ARTICLE{FITPUB11411,
   author = "E. Bradley Treeby and Jakub Budisk\'{y} and S. Elliott Wise and Ji\v{r}\'{i} Jaro\v{s} and T. Ben Cox",
   title = "Rapid calculation of acoustic fields from arbitrary continuous-wave sources",
   pages = "529--537",
   journal = "The Journal of the Acoustical Society of America",
   volume = 2018,
   number = 143,
   year = 2018,
   ISSN = "1520-8524",
   doi = "10.1121/1.5021245",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/11411"
}
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