k-Wave Toolbox |

## Reference List

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Pseudo-spectral and k-space propagation models Perfectly-matched layer boundary condition FFT photoacoustic image reconstruction Time-reversal photoacoustic image reconstruction

### Pseudo-spectral and k-space propagation models

Cox, B. T., Kara, S., Arridge, S. R., and Beard, P. C., "k-space propagation models for acoustically heterogeneous media: Application to biomedical photoacoustics," J. Acoust. Soc. Am., vol. 121, no. 6, pp. 3453-3464, 2007.

Cox, B. T. and Beard, P. C., "Fast calculation of pulsed photoacoustic fields in fluids using k-space methods," J. Acoust. Soc. Am., vol. 177, no. 6, pp. 3616-3627, 2005.

Tabei, M., Mast, T. D., and Waag, R. C., "A k-space method for coupled first-order acoustic propagation equations," J. Acoust. Soc. Am., vol. 111, no. 1, pp. 53-63, 2002.

Mast, T. D., Souriau, L. P., Liu, D. L. D., Tabei, M., Nachman, A. I., and Waag, R. C., "A k-space method for large-scale models of wave propagation in tissue," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 48, no. 2, pp. 341-354, 2001.

Leeman, S., Healey, A. J., and Weight, J. P., "A New Approach for Calculating Wideband Fields", Acoustical Imaging, vol. 24, pp. 49-56, 2000.

Healey, A. J., Leeman, S., and Weight, J. P., "Space-time imaging of transient ultrasound fields", Int. J. Imaging Syst. Technol., vol. 8, no. 1, pp. 45-51, 1997.

Liu, Q. H. "Generalisation of the k-space formulation to elastodynamic scattering problems", J. Acoust. Soc. Am., vol. 97, pp. 1373-1379, 1995.

Finette, S., "Computational methods for simulating ultrasonic scattering in soft tissue", IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 34, no. 3, pp. 283-292, 1987.

Finette, S., "A computer model of acoustic wave scattering in soft tissue", IEEE Trans. Biomed. Eng., vol. BME-34, no. 5, pp. 336-344, 1987.

Compani-Tabrizi, B., "K-space scattering formulation of the absorptive full fluid elastic scalar wave equation in the time domain", J. Acoust. Soc. Am., vol. 79, pp. 901-905, 1986.

Bojarski, N. N., "The k-space formulation of the scattering problem in the time domain: An improved single propagator formulation," J. Acoust. Soc. Am., vol. 77, no. 3, pp. 826-831, 1985.

Bojarski, N. N., "The k-space formulation of the scattering problem in the time domain," J. Acoust. Soc. Am., vol. 72, no. 2, pp. 570-584, 1982.

Fornberg, B. and Whitham, G. B., "A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena", Philos. Trans. R. Soc. London A, vol. 289, no. 1361, pp. 373-404, 1978.

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### Perfectly-matched layer boundary condition

Katsibas, T. K. and Antonopoulos, C. S., "A general form of perfectly matched layers for three-dimensional problems of acoustic scattering in lossless and lossy fluid media," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 51, no. 8, pp. 964-972, 2004.

Yuan, X., Borup, D., Wiskin, J., Berggren, M., and Johnson, S. A., "Simulation of acoustic wave propagation in dispersive media with relaxation losses by using FDTD method with PML absorbing boundary condition," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 46, no. 1, pp. 14-23, 1999.

Yuan, X., Borup, D., Wiskin, J. W., Berggren, M., Eidens, R., and Johnson, S. A., "Formulation and validation of Berenger's PML absorbing boundary for the FDTD simulation of acoustic scattering," IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol. 44, no. 4, pp. 816-822, 1997.

Berenger, J.-P., "Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves," J. Comput. Phys., vol. 127, no. 2, pp. 363-379, 1996.

Berenger, J.-P., "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, no. 2, pp. 185-200, 1994.

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### FFT photoacoustic image reconstruction

Xu, Y., Feng, D., and Wang, L. V., "Exact frequency-domain reconstruction for thermoacoustic tomography. I. Planar geometry," IEEE Trans. Med. Imaging, vol. 21, no. 7, pp. 823-828, 2002.

Kostli, K. P. and Beard, P. C., "Two-Dimensional Photoacoustic Imaging by Use of Fourier-Transform Image Reconstruction and a Detector with an Anisotropic Response," Appl. Optics, vol. 42, no. 10, pp. 1899-1908, 2003.

Kostli, K. P., Frenz, M., Bebie, H., and Weber, H. P., "Temporal backward projection of optoacoustic pressure transients using Fourier transform methods," Phys. Med. Biol., vol. 46, no. 7, pp. 1863-1872, 2001.

Kostli, K. P., Frauchiger, D., Niederhauser, J. J., Paltauf, G., Weber, H. P., and Frenz, M., "Optoacoustic imaging using a three-dimensional reconstruction algorithm," IEEE J. Sel. Top. Quantum Electron., vol. 7, no. 6, pp. 918-923, 2001.

Norton, S. J. and Linzer, M., "Ultrasonic Reflectivity Imaging in Three Dimensions: Exact Inverse Scattering Solutions for Plane, Cylindrical, and Spherical Apertures," IEEE Trans. Biomed. Eng., vol. BME-28, no. 2, pp. 202-220, 1981.

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### Time-reversal photoacoustic image reconstruction

Hristova, Y., "Time reversal in thermoacoustic tomography - an error estimate," Inverse Probl., no. 5, p. 055008, 2009.

Hristova, Y., Kuchment, P., and Nguyen, L. V., "Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media," Inverse Probl., vol. 24, no. 5, p. 055006, 2008.

Burgholzer, P., Matt, G. J., Haltmeier, M., and Paltauf, G., "Exact and approximative imaging methods for photoacoustic tomography using an arbitrary detection surface," Phys. Rev. E, vol. 75, no. 4, p. 046706, 2007.

Xu, Y. and Wang, L. V., "Time Reversal and Its Application to Tomography with Diffracting Sources," Phys. Rev. Lett., vol. 92, no. 3, p. 033902, 2004.

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© 2009 Bradley Treeby and Ben Cox.