### Abstract

Several investigators have modeled ultrasonic fields in front of finite sized transducers. Most of these models are based on Huygens principle. Following Huygens-Fresnel superposition principle one can assume that the total field of a finite size transducer is obtained by simply superimposing the contributions of a number of point sources uniformly distributed on the transducer face. If the point source solution, also known as the Green's function, is known then integrating that point source solution over the transducer face one can obtain the total ultrasonic field generated by a finite transducer. This integral is known as Rayleigh-Sommerfield integral. It is investigated here how the ultrasonic field in front of the transducer varies for different interface conditions at the transducer face-fluid interface such as 1) when only the normal component of the transducer velocity is assumed to be uniform on the transducer face and continuous across the fluid-solid interface, or 2) when all three components of velocity are assumed to be uniform on the transducer face and continuous across the interface, 3) when the pressure instead of velocity is assumed to be uniform on the transducer face and continuous across the interface. AU these different boundary and interface conditions can be modeled by the newly developed Distributed Point Source Method (DPSM). These results are compared with the Rayleigh-Sommerfield integral representation that gives the fluid pressure in front of the transducer when the transducer-fluid interface is subjected to uniform normal velocity.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 6935 |

DOIs | |

State | Published - 2008 |

Event | Health Monitoring of Structural and Biological Systems 2008 - San Diego, CA, United States Duration: Mar 10 2008 → Mar 13 2008 |

### Other

Other | Health Monitoring of Structural and Biological Systems 2008 |
---|---|

Country | United States |

City | San Diego, CA |

Period | 3/10/08 → 3/13/08 |

### Fingerprint

### Keywords

- Distributed point source method
- DPSM
- Modeling
- Ultrasonic field

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 6935). [693517] https://doi.org/10.1117/12.775554

**Effect of transducer boundary conditions on the generated ultrasonic field.** / Yanagita, Tamaki; Placko, Dominique; Kundu, Tribikram.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 6935, 693517, Health Monitoring of Structural and Biological Systems 2008, San Diego, CA, United States, 3/10/08. https://doi.org/10.1117/12.775554

}

TY - GEN

T1 - Effect of transducer boundary conditions on the generated ultrasonic field

AU - Yanagita, Tamaki

AU - Placko, Dominique

AU - Kundu, Tribikram

PY - 2008

Y1 - 2008

N2 - Several investigators have modeled ultrasonic fields in front of finite sized transducers. Most of these models are based on Huygens principle. Following Huygens-Fresnel superposition principle one can assume that the total field of a finite size transducer is obtained by simply superimposing the contributions of a number of point sources uniformly distributed on the transducer face. If the point source solution, also known as the Green's function, is known then integrating that point source solution over the transducer face one can obtain the total ultrasonic field generated by a finite transducer. This integral is known as Rayleigh-Sommerfield integral. It is investigated here how the ultrasonic field in front of the transducer varies for different interface conditions at the transducer face-fluid interface such as 1) when only the normal component of the transducer velocity is assumed to be uniform on the transducer face and continuous across the fluid-solid interface, or 2) when all three components of velocity are assumed to be uniform on the transducer face and continuous across the interface, 3) when the pressure instead of velocity is assumed to be uniform on the transducer face and continuous across the interface. AU these different boundary and interface conditions can be modeled by the newly developed Distributed Point Source Method (DPSM). These results are compared with the Rayleigh-Sommerfield integral representation that gives the fluid pressure in front of the transducer when the transducer-fluid interface is subjected to uniform normal velocity.

AB - Several investigators have modeled ultrasonic fields in front of finite sized transducers. Most of these models are based on Huygens principle. Following Huygens-Fresnel superposition principle one can assume that the total field of a finite size transducer is obtained by simply superimposing the contributions of a number of point sources uniformly distributed on the transducer face. If the point source solution, also known as the Green's function, is known then integrating that point source solution over the transducer face one can obtain the total ultrasonic field generated by a finite transducer. This integral is known as Rayleigh-Sommerfield integral. It is investigated here how the ultrasonic field in front of the transducer varies for different interface conditions at the transducer face-fluid interface such as 1) when only the normal component of the transducer velocity is assumed to be uniform on the transducer face and continuous across the fluid-solid interface, or 2) when all three components of velocity are assumed to be uniform on the transducer face and continuous across the interface, 3) when the pressure instead of velocity is assumed to be uniform on the transducer face and continuous across the interface. AU these different boundary and interface conditions can be modeled by the newly developed Distributed Point Source Method (DPSM). These results are compared with the Rayleigh-Sommerfield integral representation that gives the fluid pressure in front of the transducer when the transducer-fluid interface is subjected to uniform normal velocity.

KW - Distributed point source method

KW - DPSM

KW - Modeling

KW - Ultrasonic field

UR - http://www.scopus.com/inward/record.url?scp=44349093119&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44349093119&partnerID=8YFLogxK

U2 - 10.1117/12.775554

DO - 10.1117/12.775554

M3 - Conference contribution

SN - 9780819471215

VL - 6935

BT - Proceedings of SPIE - The International Society for Optical Engineering

ER -