### Abstract

under the assumption that the sound propagates under linear

conditions. A non-axisymmetric finite difference model is used to

solve the KZK equation, and so to model the beam of a diagnostic

scanner in pulsed Doppler mode. Beams from both a uniform focused

rectangular source and a linear array are considered. Calculations are

performed in water, and in attenuating media with tissue-like

characteristics. Attenuating media are found to exhibit significant

nonlinear effects for finite-amplitude beams. The resulting loss of

intensity by the beam is then used as the source term in a model of

tissue heating to estimate the maximum temperature rises. These are

compared with the thermal indices, derived from the properties of the

water-propagated beams.

Original language | English |
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Pages | 483-486 |

Number of pages | 4 |

Publication status | Published - 2000 |

Event | 15th International Symposium on Nonlinear Acoustics - Goettingen Duration: 1 Sep 1999 → 4 Sep 1999 |

### Conference

Conference | 15th International Symposium on Nonlinear Acoustics |
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City | Goettingen |

Period | 1/09/99 → 4/09/99 |

### Fingerprint

### Keywords

- Nonlinear Propagation of Ultrasound
- Heating of Tissue

### Cite this

*The Effect of Nonlinear Propagation on Heating of Tissue: A Numerical Model of Diagnostic Ultrasound Beams*. 483-486. Paper presented at 15th International Symposium on Nonlinear Acoustics, Goettingen, .

**The Effect of Nonlinear Propagation on Heating of Tissue : A Numerical Model of Diagnostic Ultrasound Beams.** / Cahill, Mark; Humphrey, V F; Doody, Claire.

Research output: Contribution to conference › Paper

}

TY - CONF

T1 - The Effect of Nonlinear Propagation on Heating of Tissue

T2 - A Numerical Model of Diagnostic Ultrasound Beams

AU - Cahill, Mark

AU - Humphrey, V F

AU - Doody, Claire

N1 - The Effect of Nonlinear Propagation on Heating of Tissue: A Numerical Model of Diagnostic Ultrasound Beams, M.D. Cahill, V.F. Humphrey and C. Doody, proceedings of the 15th International Symposium on Nonlinear Acoustics, Goettingen, Ed. W. Lauterborn and T. Kurtz, pp 483-486 (2000).

PY - 2000

Y1 - 2000

N2 - Thermal safety indices for diagnostic ultrasound beams are calculatedunder the assumption that the sound propagates under linearconditions. A non-axisymmetric finite difference model is used tosolve the KZK equation, and so to model the beam of a diagnosticscanner in pulsed Doppler mode. Beams from both a uniform focusedrectangular source and a linear array are considered. Calculations areperformed in water, and in attenuating media with tissue-likecharacteristics. Attenuating media are found to exhibit significantnonlinear effects for finite-amplitude beams. The resulting loss ofintensity by the beam is then used as the source term in a model oftissue heating to estimate the maximum temperature rises. These arecompared with the thermal indices, derived from the properties of thewater-propagated beams.

AB - Thermal safety indices for diagnostic ultrasound beams are calculatedunder the assumption that the sound propagates under linearconditions. A non-axisymmetric finite difference model is used tosolve the KZK equation, and so to model the beam of a diagnosticscanner in pulsed Doppler mode. Beams from both a uniform focusedrectangular source and a linear array are considered. Calculations areperformed in water, and in attenuating media with tissue-likecharacteristics. Attenuating media are found to exhibit significantnonlinear effects for finite-amplitude beams. The resulting loss ofintensity by the beam is then used as the source term in a model oftissue heating to estimate the maximum temperature rises. These arecompared with the thermal indices, derived from the properties of thewater-propagated beams.

KW - Nonlinear Propagation of Ultrasound

KW - Heating of Tissue

M3 - Paper

SP - 483

EP - 486

ER -