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Quantifying Numerical Errors in the Simulation of Transcranial Ultrasound using Pseudospectral Methods

Robcrtson, JL; Cox, BT; Treeby, BE; (2014) Quantifying Numerical Errors in the Simulation of Transcranial Ultrasound using Pseudospectral Methods. In: 2014 IEEE International Ultrasonics Symposium. (pp. pp. 2000-2003). IEEE Green open access

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Abstract

Effective transcranial transmission of focused ultrasound is desirable for various therapeutic applications. Time-reversal (TR) focusing based on numerical simulations of ultrasound propagation can be used to correct for the aberrating skull layer. For weakly heterogeneous media, k-space and pseudospectral time domain (PSTD) methods have been shown to have increased accuracy and efficiency compared to the finite-difference time domain (FDTD) methods typically used in TR. However, their suitability for highly heterogeneous, transcranial simulations is less clear. Here, this is established in terms of spatial and temporal sampling requirements through numerical testing and comparison with FDTD schemes. PSTD schemes are shown to give equal or better accuracy compared to FDTD schemes for modelling propagation through tissue-realistic heterogeneities, which, combined with the reduction in numerical dispersion obtained with k-space correction, recommends them for use in simulated TR.

Type: Proceedings paper
Title: Quantifying Numerical Errors in the Simulation of Transcranial Ultrasound using Pseudospectral Methods
Event: IEEE International Ultrasonics Symposium (IUS)
Location: Chicago, IL
Dates: 03 September 2014 - 06 September 2014
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/ULTSYM.2014.0498
Publisher version: https://doi.org/10.1109/ULTSYM.2014.0498
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions.
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/10113893
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