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Staircase-free acoustic sources for grid-based models of wave propagation

Wise, ES; Robertson, JLB; Cox, BT; Treeby, BE; (2017) Staircase-free acoustic sources for grid-based models of wave propagation. In: Proceedings of the 2017 IEEE International Ultrasonics Symposium (IUS). IEEE: Washington, DC, USA. Green open access

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Abstract

The k-Wave MATLAB toolbox is widely used to conduct medical ultrasound simulations. It uses a Fourier collocation method to numerically solve the governing model equations, and introduces sources by adding acoustic pressure at points on an orthogonal grid. This approach introduces two errors when sources don't exactly align with the grid. These are phase errors arising from shifting source points to nearby grid nodes, and amplitude errors arising from an angular dependence in the density of source points. These two errors are collectively referred to as `staircasing'. Staircasing errors can be overcome by considering the band-limited representation of sources that arises from the use of a Fourier collocation method. To do so, sources are discretised by convolving a band-limited point source with the desired source geometry. To validate this approach, a comparison is made with current k-Wave source algorithms and with the FOCUS ultrasound simulation code. The new sources are shown to eliminate staircasing errors.

Type: Proceedings paper
Title: Staircase-free acoustic sources for grid-based models of wave propagation
Event: IEEE International Ultrasonics Symposium (IUS)
Location: Washington, DC
Dates: 06 September 2017 - 09 September 2017
ISBN-13: 978-1-5386-3384-7
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/ULTSYM.2017.8092730
Publisher version: http://dx.doi.org/10.1109/ULTSYM.2017.8092730
Language: English
Additional information: This version is the author accepted manuscrip. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Technology, Physical Sciences, Engineering, Electrical & Electronic, Physics, Applied, Engineering, Physics, acoustic waves, numerical simulation, Fourier series, function approximation, RECTANGULAR PISTONS, SIMULATION
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/10052612
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