### Abstract

A highly accurate semi-analytical method was developed to predict the acoustic field generated by a real transducer in an axisymmetric sonobioreactor consisting of multiple fluid-, linear elastic solid-, and/or poroelastic-layers. The accuracy of the method is independent of the spacing of the grid-points and computational costs are not proportional to the ratio of the system's characteristic dimensions to the acoustic wavelength, both improvements over the use of full numerical methods. Contrary to similar semi-analytical approaches, the method is not limited to the prediction of freely propagating waves. Acoustic reflection and perfect absorption are readily implemented. The method was numerically validated and matched the analytical function describing the pressure amplitude along the axis of a cylindrical transducer with a root-mean-square error of less than 2%. The method was also experimentally validated, but it was shown that the method is not applicable when certain components of the system have a diameter smaller than that of the acoustic beam. The method was used to model an ultrasonic bioreactor as an example problem, where its accuracy and computational efficiency were shown to be instrumental in bioreactor design.

Original language | English (US) |
---|---|

Pages (from-to) | 122-136 |

Number of pages | 15 |

Journal | Wave Motion |

Volume | 56 |

DOIs | |

State | Published - Jul 1 2015 |

### Fingerprint

### Keywords

- Angular spectrum
- Bioacoustics
- Biot theory
- Sonochemistry
- Transfer matrix
- Ultrasound

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Wave Motion*,

*56*, 122-136. https://doi.org/10.1016/j.wavemoti.2015.02.007

**Simulation of acoustic fields in fluid-, solid- and porous layers by the combined transfer matrix/angular spectrum approach with applications in bioacoustics.** / Louw, Tobias M.; Jackson, Travis C.; Subramanian, Anuradha; Viljoen, Hendrik J.

Research output: Contribution to journal › Article

*Wave Motion*, vol. 56, pp. 122-136. https://doi.org/10.1016/j.wavemoti.2015.02.007

}

TY - JOUR

T1 - Simulation of acoustic fields in fluid-, solid- and porous layers by the combined transfer matrix/angular spectrum approach with applications in bioacoustics

AU - Louw, Tobias M.

AU - Jackson, Travis C.

AU - Subramanian, Anuradha

AU - Viljoen, Hendrik J

PY - 2015/7/1

Y1 - 2015/7/1

N2 - A highly accurate semi-analytical method was developed to predict the acoustic field generated by a real transducer in an axisymmetric sonobioreactor consisting of multiple fluid-, linear elastic solid-, and/or poroelastic-layers. The accuracy of the method is independent of the spacing of the grid-points and computational costs are not proportional to the ratio of the system's characteristic dimensions to the acoustic wavelength, both improvements over the use of full numerical methods. Contrary to similar semi-analytical approaches, the method is not limited to the prediction of freely propagating waves. Acoustic reflection and perfect absorption are readily implemented. The method was numerically validated and matched the analytical function describing the pressure amplitude along the axis of a cylindrical transducer with a root-mean-square error of less than 2%. The method was also experimentally validated, but it was shown that the method is not applicable when certain components of the system have a diameter smaller than that of the acoustic beam. The method was used to model an ultrasonic bioreactor as an example problem, where its accuracy and computational efficiency were shown to be instrumental in bioreactor design.

AB - A highly accurate semi-analytical method was developed to predict the acoustic field generated by a real transducer in an axisymmetric sonobioreactor consisting of multiple fluid-, linear elastic solid-, and/or poroelastic-layers. The accuracy of the method is independent of the spacing of the grid-points and computational costs are not proportional to the ratio of the system's characteristic dimensions to the acoustic wavelength, both improvements over the use of full numerical methods. Contrary to similar semi-analytical approaches, the method is not limited to the prediction of freely propagating waves. Acoustic reflection and perfect absorption are readily implemented. The method was numerically validated and matched the analytical function describing the pressure amplitude along the axis of a cylindrical transducer with a root-mean-square error of less than 2%. The method was also experimentally validated, but it was shown that the method is not applicable when certain components of the system have a diameter smaller than that of the acoustic beam. The method was used to model an ultrasonic bioreactor as an example problem, where its accuracy and computational efficiency were shown to be instrumental in bioreactor design.

KW - Angular spectrum

KW - Bioacoustics

KW - Biot theory

KW - Sonochemistry

KW - Transfer matrix

KW - Ultrasound

UR - http://www.scopus.com/inward/record.url?scp=84929050630&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84929050630&partnerID=8YFLogxK

U2 - 10.1016/j.wavemoti.2015.02.007

DO - 10.1016/j.wavemoti.2015.02.007

M3 - Article

AN - SCOPUS:84929050630

VL - 56

SP - 122

EP - 136

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

ER -