# Publications

Below is a selection of papers published by the research group that are related to FOCUS.

# Rapid Transient Pressure Field Computations in the Nearfield of Circular Transducers Using Frequency-Domain Time-Space Decomposition

## E. J. Alles, Y. Zhu, K. W. A. van Dongen, R. J. McGough

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E. J. Alles, Y. Zhu, K. W. A. van Dongen, R. J. McGough. "Rapid Transient Pressure Field Computations in the Nearfield of Circular Transducers Using Frequency-Domain Time-Space Decomposition" Ultrasonic Imaging. **34**, 237–260 (2012).

@article{
Alles01102012,
author = {Alles, E. J. and Zhu, Y. and van Dongen, K. W. A. and McGough, R. J.},
title = {Rapid Transient Pressure Field Computations in the Nearfield of Circular Transducers Using Frequency-Domain Time-Space Decomposition},
volume = {34},
number = {4},
pages = {237-260},
year = {2012},
doi = {10.1177/0161734612463847},
abstract ={The fast nearfield method, when combined with time-space decomposition, is a rapid and accurate approach for calculating transient nearfield pressures generated by ultrasound transducers. However, the standard time-space decomposition approach is only applicable to certain analytical representations of the temporal transducer surface velocity that, when applied to the fast nearfield method, are expressed as a finite sum of products of separate temporal and spatial terms. To extend time-space decomposition such that accelerated transient field simulations are enabled in the nearfield for an arbitrary transducer surface velocity, a new transient simulation method, frequency-domain time-space decomposition (FDTSD), is derived. With this method, the temporal transducer surface velocity is transformed into the frequency domain, and then each complex-valued term is processed separately. Further improvements are achieved by spectral clipping, which reduces the number of terms and the computation time. Trade-offs between speed and accuracy are established for FDTSD calculations, and pressure fields obtained with the FDTSD method for a circular transducer are compared with those obtained with Field II and the impulse response method. The FDTSD approach, when combined with the fast nearfield method and spectral clipping, consistently achieves smaller errors in less time and requires less memory than Field II or the impulse response method.},
URL = {http://uix.sagepub.com/content/34/4/237.abstract},
eprint = {http://uix.sagepub.com/content/34/4/237.full.pdf+html},
journal = {Ultrasonic Imaging}
}

# Evaluation of the angular spectrum approach for simulations of near-field pressures

## Xiaozheng (Jenny) Zeng and Robert J. McGough

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X. Zeng and R. J. McGough. "Evaluation of the angular spectrum approach for simulations of near-field pressures." J. Acoust. Soc. Am. **123**, 68–76 (2008).

@article {
zeng-asa,
author = "X. J. Zeng and R. J. McGough",
title = "Evaluation of the angular spectrum approach for simulations of near-field pressures",
journal = "Journal of the Acoustical Society of America",
volume = "123",
number = "1",
pages = "68-76",
year = "2008"
}

# An efficient grid sectoring method for calculations of the near-field pressure generated by a circular piston

## Robert J. McGough, Thaddeus V. Samulski, and James F. Kelly

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R. J. McGough, T. V. Samulski and J. F. Kelly. "An efficient grid sectoring method for calculations of the near-field pressure generated by a circular piston." J. Acoust. Soc. Am. **115**, 1942–1954 (2004).

@article{
mcgough-circ,
author = "R. J. McGough and T.V. Samulski and J.F. Kelly",
title = "An efficient grid sectoring method for calculations of the near-field pressure generated by a circular piston",
journal = "Journal of the Acoustical Society of America",
volume = "115",
number = "5",
pages = "1942-1954",
year = "2004"
}

# Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons

## Robert J. McGough

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R. J. McGough. "Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons." J. Acoust. Soc. Am. **115**, 1934–1941 (2004).

@article {
mcgough-rect,
author = "R. J. McGough",
title = "Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons",
journal = "Journal of the Acoustical Society of America",
volume = "115",
number = "5",
pages = "1934-1941",
year = "2004"
}

# A 2D fast near-field method for calculating near-field pressures generated by apodized rectangular pistons

## Duo Chen and Robert J. McGough

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D. Chen and R. J. McGough. "A 2D fast near-field method for calculating near-field pressures generated by apodized rectangular pistons." J. Acoust. Soc. Am. **124**, 1526–1537 (2008).

@article {
chen-fnm-rect,
author = "D. Chen and R. J. McGough",
title = "A 2D fast near-field method for calculating near-field pressures generated by apodized rectangular pistons",
journal = "Journal of the Acoustical Society of America",
volume = "124",
number = "5",
pages = "1526-1537",
year = "2008"
}

# A Waveform Diversity Method for Optimizing 3-D Power Depositions Generated by Ultrasound Phased Arrays

## Xiaozheng (Jenny) Zeng, Jian Li, and Robert J. McGough

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X. J. Zeng, J. LI and R. J. McGough. "A Waveform Diversity Method for Optimizing 3-D Power Depositions Generated by Ultrasound Phased Arrays." IEEE Trans. Biomed. Eng. **57**, 41–47 (2010).

@article {
zeng-waveform-diversity,
author = "X. J. Zeng and J. Li and R. J. McGough",
title = "A waveform diversity method for optimizing 3-d power depositions generated by ultrasound phased arrays",
journal = "IEEE Transactions on Biomedical Engineering",
volume = "57",
number = "1",
pages = "41-47",
year = "2010"
}

# A Time-Space Decomposition Method for Calculating the Nearfield Pressure Generated by a Pulsed Circular Piston

## James F. Kelly and Robert J. McGough

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J. F. Kelly and R. J. McGough. "A Time-Space Decomposition Method for Calculating the Nearfield Pressure Generated by a Pulsed Circular Piston." IEEE Trans. Ultrason Ferroelectr. Freq. Control. **53**, 1150–1159 (2006).

@article {
kelly-tsd,
author = "J. F. Kelly and R. J. McGough",
title = "A time-space decomposition method for calculating the nearfield pressure generated by a pulsed circular piston",
journal = "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control",
volume = "53",
number = "6",
pages = "1150-1159",
year = "2006"
}

# A fast near-field method for calculations of time-harmonic and transient pressures produced by triangular pistons

## Duo Chen, James F. Kelly, and Robert J. McGough

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D. Chen, J.F. Kelly and R. J. McGough. "A fast near-field method for calculations of time-harmonic and transient pressures produced by triangular pistons." J. Acoust. Soc. Am. **120**, 2450–2459 (2006).

@article {
chen-fnm-tri,
author = "D. Chen and J. F. Kelly and R. J. McGough",
title = "A fast near-field method for calculations of time-harmonic and transient pressures produced by triangular pistons",
journal = "Journal of the Acoustical Society of America",
volume = "120",
number = "5",
pages = "2450-2459",
year = "2006"
}

# Causal impulse response for circular sources in viscous media

## James F. Kelly and Robert J. McGough

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J. F. Kelly and R. J. McGough. "Causal impulse response for circular sources in viscous media." J. Acoust. Soc. Am. **123**, 2107–2116 (2008).

@article {
kelly-impulse-response,
author = "J. F. Kelly and R. J. McGough",
title = "Causal impulse response for circular sources in viscous media",
journal = "Journal of the Acoustical Society of America",
volume = "123",
number = "4",
pages = "2107-2116",
year = "2008"
}

# Analytical time-domain Green's functions for power-law media

## James F. Kelly and Robert J. McGough

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J. F. Kelly and R. J. McGough. "Analytical time-domain Green's functions for power-law media." J. Acoust. Soc. Am. **124**, 2861–2872 (2008).

@article {
kelly-power-law,
author = "J. F. Kelly and R. J. McGough and M. M. Meerschaert",
title = "Analytical time-domain Green's functions for power-law media",
journal = "Journal of the Acoustical Society of America",
volume = "124",
number = "5",
pages = "2861-2872",
year = "2008"
}

# Optimal simulations of ultrasonic fields produced by large thermal therapy arrays using the angular spectrum approach

## Xiaozheng (Jenny) Zeng and Rober