Journal Publications

This is a list of some of the main papers describing the models and algorithms implemented in the k-Wave toolbox. For a full list of other publications, see the websites for the UCL Biomedical Ultrasound Group, the BUT Supercomputing Technologies Research Group and the UCL Photoacoustic Imaging Group.
Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method
B. E. Treeby, E. S. Wise, F. Kuklis, J. Jaros, B. T. Cox
J. Acoust. Soc. Am., 148 (4), pp. 2288-2300, 2020.
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Experimental validation of k-Wave: Nonlinear wave propagation in layered, absorbing fluid media
E. Martin, J. Jaros, B. E. Treeby
IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 67 (1), pp. 81-91, 2020.
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Representing arbitrary acoustic source and sensor distributions in Fourier collocation methods
E. S. Wise, B. T. Cox, J. Jaros, B. E. Treeby
J. Acoust. Soc. Am., 146 (1), pp. 278-288, 2019.
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Equivalent-source acoustic holography for projecting measured ultrasound fields through complex media
B. E. Treeby, F. Lucka, E. Martin, B. T. Cox
IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 65 (10), pp. 1857-1864, 2018.
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Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations
B. E. Treeby, E. S. Wise, B. T. Cox
Commun. Comput. Phys., 24 (3), pp. 623-634, 2018.
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Rapid calculation of acoustic fields from arbitrary continuous-wave sources
B. E. Treeby, J. Budisky, E. S. Wise, J. Jaros, B. T. Cox
J. Acoust. Soc. Am., 143 (1), pp. 529-537, 2018.
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Spectral domain decomposition using local Fourier basis: Application to ultrasound simulation on a cluster of GPUs
J. Jaros, F. Vaverka, B. E. Treeby
Supercomputing Frontiers and Innovations, 3 (3), pp. 39-54, 2016.
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Simulating focused ultrasound transducers using discrete sources on regular cartesian grids
E. Martin, Y. T. Ling, B. E. Treeby
IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 63 (10), pp. 1535-1542, 2016.
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Full-wave nonlinear ultrasound simulation on distributed clusters with applications in high-intensity focused ultrasound
J. Jaros, A. P. Rendell, and B. E. Treeby
Int. J. High Perform. Comput., 30 (2), pp. 137-155, 2016.
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Modeling power law absorption and dispersion in viscoelastic solids using a split-field and the fractional Laplacian
B. E. Treeby, B. T. Cox
J. Acoust. Soc. Am., 136 (4), pp. 1499-1510, 2014.
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Acoustic attenuation compensation in photoacoustic tomography using time-variant filtering
B. E. Treeby
J. Biomed. Opt., vol. 18, no. 3, p.036008, 2013.
doi:10.1117/1.JBO.18.3.036008 / download pdf
Modeling nonlinear wave propagation on nonuniform grids using a mapped k-space pseudospectral method
B. E. Treeby
IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 60, no. 10, pp. 2208-2213, 2013.
10.1109/TUFFC.2013.2812 / download pdf
Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using a k-space pseudospectral method
B. E. Treeby, J. Jaros, A. P. Rendell, and B. T. Cox
J. Acoust. Soc. Am., vol. 131, no. 6, pp. 4324-4336, 2012.
DOI 10.1121/1.4712021 / download pdf
A first-order k-space model for elastic wave propagation in heterogeneous media
K. Firouzi, B. T. Cox, B. E. Treeby, and N. Saffari
J. Acoust. Soc. Am., vol. 132, no. 3, pp. 1271-1283, 2012.
DOI 10.1121/1.3588669 / download pdf
A k-space Green's function solution for acoustic initial value problems in homogeneous media with power law absorption
B. E. Treeby, and B. T. Cox
J. Acoust. Soc. Am., vol. 129, no. 6, pp. 3652-3660, 2011.
DOI 10.1121/1.3583537 / download pdf
Photoacoustic tomography in absorbing acoustic media using time reversal
B. E. Treeby, E. Z. Zhang, and B. T. Cox
Inverse Prob., vol. 26, no. 11, p. 115003, 2010.
DOI 10.1088/0266-5611/26/11/115003 / download pdf
Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian
B. E. Treeby, and B. T. Cox
J. Acoust. Soc. Am., vol. 127, no. 5, pp. 2741-2748, 2010.
DOI 10.1121/1.3377056 / download pdf (see also erratum)
k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave-fields
B. E. Treeby, and B. T. Cox
J. Biomed. Opt., vol. 15, no. 2, p. 021314, 2010.
DOI 10.1117/1.3360308 / download pdf
Artifact trapping during time reversal photoacoustic imaging for acoustically heterogeneous media
B. T. Cox, and B. E. Treeby
IEEE Trans. Med. Imaging, vol. 29, no. 2, pp. 387-396, 2010.
DOI 10.1109/TMI.2009.2032358 / download pdf
k-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics
B. T. Cox, S. Kara, S. R. Arridge, and P. C. Beard
J. Acoust. Soc. Am., vol. 121, no. 6, pp. 3453-3464, 2007.
DOI 10.1121/1.2717409 / download pdf
Fast calculation of pulsed photoacoustic fields in fluids using k-space methods
B. T. Cox, and P. C. Beard
J. Acoust. Soc. Am., vol. 177, no. 6, pp. 3616-3627, 2005.
DOI 10.1121/1.1920227 / download pdf

Conference Publications
Accurate time-varying sources in k-space pseudospectral time domain acoustic simulations
B. T. Cox, B. E. Treeby
IEEE International Ultrasonics Symposium, 2018.
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Performance and accuracy analysis of nonlinear k-Wave simulations using local domain decomposition with an 8-GPU server
B. E. Treeby, F. Vaverka, J. Jaros
Proc. Mtgs. Acoust., 34, 2018.
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Staircase-free acoustic sources for grid-based models of wave propagation
E. S. Wise, J. L. Robertson, B. T. Cox, B. E. Treeby
IEEE International Ultrasonics Symposium, 2017.
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Advanced photoacoustic image reconstruction using the k-Wave toolbox
B. E. Treeby, J. Jaros, B. T. Cox
Proc. SPIE, Photons Plus Ultrasound: Imaging and Sensing, 9708, 2016.
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Discrete source model for simulating bowl-shaped focused ultrasound transducers on regular grids: Design and experimental validation
Y. T. Ling, E. Martin, B. E. Treeby
IEEE International Ultrasonics Symposium, 2015.
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Modelling Elastic Wave Propagation Using the k-Wave MATLAB Toolbox
B. E. Treeby, J. Jaros, D. Rohrbach, and B. T. Cox
IEEE International Ultrasonics Symposium, Chicago, USA, 2014.
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Comparison between two different full-wave methods for the computation of nonlinear ultrasound fields in inhomogeneous and attenuating tissue
L. Demi, B. E. Treeby, and M. D. Verweij
IEEE International Ultrasonics Symposium, Chicago, USA, 2014.
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Quantifying Numerical Errors in the Simulation of Transcranial Ultrasound using Pseudospectral Methods
J. L. Robertson, B. T. Cox, and B. E. Treeby
IEEE International Ultrasonics Symposium, Chicago, USA, 2014.
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Full-wave nonlinear ultrasound simulation in an axisymmetric coordinate system using the discrete sine and cosine transforms
E. Wise, and B. E. Treeby
IEEE International Ultrasonics Symposium, pp. 1374-1377, Prague, Czech Republic, 2013.
10.1109/ULTSYM.2013.0349 / download pdf
A computationally efficient elastic wave model for media with power-law absorption
B. E. Treeby, and B. T. Cox
IEEE International Ultrasonics Symposium, pp. 1037-1040, Prague, Czech Republic, 2013.
10.1109/ULTSYM.2013.0266 / download pdf
Modelling Nonlinear Ultrasound Propagation in Absorbing Media using the k-Wave Toolbox: Experimental Validation
K. Wang, E. Teoh, J. Jaros, and B. E. Treeby
IEEE International Ultrasonics Symposium, pp. 523-526, Dresden, Germany, 2012.
10.1109/ULTSYM.2012.0130 / download pdf
Use of multiple GPUs on shared memory multiprocessors for ultrasound propagation simulations
J. Jaros, B. E. Treeby, and A. P. Rendell
10th Australasian Symposium on Parallel and Distributed Computing, vol. 127, pp. 43-52, Melbourne, Australia, 2013.
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Time domain simulation of harmonic ultrasound images and beam patterns in 3D using the k-space pseudospectral method
B. E. Treeby, M. Tumen, and B. T. Cox
MICCAI, Part I (Springer, Heidelberg), vol. 6891, pp. 363-370, Toronto, Canada, 2011.
DOI 10.1007/978-3-642-23623-5_46 / download pdf
Acoustic attenuation compensation in photoacoustic tomography: Application to high resolution 3D imaging of vascular networks in mice
B. E. Treeby, J. G. Laufer, E. Z. Zhang, F. C. Norris, M. F. Lythgoe, P. C. Beard, and B. T. Cox
Proc. SPIE 7899, p. 78992Y, San Francisco, CA, USA, 2011.
DOI 10.1117/12.874530 / download pdf
Effect of sensor directionality on photoacoustic imaging: A study using the k-Wave toolbox
B. T. Cox, and B. E. Treeby
Proc. SPIE 7564, p. 75640I, San Francisco, CA, USA, 2010.
DOI 10.1117/12.841671 / download pdf
Fast, tissue-realistic models of photoacoustic wave propagation for homogeneous attenuating media
B. E. Treeby, and B. T. Cox
Proc. SPIE 7177, p. 717716, San Jose, CA, USA, 2009.
DOI 10.1117/12.806794 / download pdf
Experimental validation of photoacoustic k-space propagation models
B. T. Cox, J. G. Laufer, K. P. Kostli, and P. C. Beard
Proc. SPIE 5320, pp. 238-248, San Jose, CA, USA, 2004.
DOI 10.1117/12.531178 / download pdf