Treeby, BE;
Budisky, J;
Wise, ES;
Jaros, J;
Cox, BT;
(2018)
Rapid calculation of acoustic fields from arbitrary continuous-wave sources.
Journal of the Acoustical Society of America
, 143
(1)
pp. 529-537.
10.1121/1.5021245.
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Abstract
A Green's 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 Green's 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 to be calculated in a single step using two 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.
| Type: | Article |
|---|---|
| Title: | Rapid calculation of acoustic fields from arbitrary continuous-wave sources |
| Location: | United States |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1121/1.5021245 |
| Publisher version: | https://doi.org/10.1121/1.5021245 |
| Language: | English |
| Additional information: | Copyright © 2018 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/10043492 |
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