### Abstract

Transient ultrasonic waves in an elastic half-space generated by an ultrasonic transducer of finite size are modeled by the Distributed Point Source Method (DPSM). DPSM which is a Green's function based semi-analytical mesh-free technique is modified to incorporate the transient loading from a finite size acoustic transducer. Fast Fourier transform (FFT) of the transient loading is computed and then DPSM is used to compute the ultrasonic field at different frequencies and then inverse fast Fourier transform (IFFT) is taken to get the transient response of an elastic half-space excited by a bounded acoustic beam. Numerical results are generated for elastic half-space excited with normal incidence of acoustic beam. Then the transient Rayleigh wave in the solid half-space is generated. The modeling is then extended to the transient response of an elastic half-space containing a crack, struck by a bounded acoustic beam. It is discussed in the paper what type of useful information that is hidden in the steady state solution can be obtained from the transient results.

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

Volume | 7650 |

Edition | PART 1 |

DOIs | |

State | Published - 2010 |

Event | Health Monitoring of Structural and Biological Systems 2010 - San Diego, CA, United States Duration: Mar 8 2010 → Mar 11 2010 |

### Other

Other | Health Monitoring of Structural and Biological Systems 2010 |
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Country | United States |

City | San Diego, CA |

Period | 3/8/10 → 3/11/10 |

### Fingerprint

### Keywords

- DPSM
- FFT
- Transient response
- Ultrasonic modeling

### ASJC Scopus subject areas

- Applied Mathematics
- Computer Science Applications
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(PART 1 ed., Vol. 7650). [76501G] https://doi.org/10.1117/12.847447

**Transient ultrasonic wave field modeling in an elastic half-space using distributed point source method.** / Das, Samik; Banerjee, Sourav; Kundu, Tribikram.

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

*Proceedings of SPIE - The International Society for Optical Engineering.*PART 1 edn, vol. 7650, 76501G, Health Monitoring of Structural and Biological Systems 2010, San Diego, CA, United States, 3/8/10. https://doi.org/10.1117/12.847447

}

TY - GEN

T1 - Transient ultrasonic wave field modeling in an elastic half-space using distributed point source method

AU - Das, Samik

AU - Banerjee, Sourav

AU - Kundu, Tribikram

PY - 2010

Y1 - 2010

N2 - Transient ultrasonic waves in an elastic half-space generated by an ultrasonic transducer of finite size are modeled by the Distributed Point Source Method (DPSM). DPSM which is a Green's function based semi-analytical mesh-free technique is modified to incorporate the transient loading from a finite size acoustic transducer. Fast Fourier transform (FFT) of the transient loading is computed and then DPSM is used to compute the ultrasonic field at different frequencies and then inverse fast Fourier transform (IFFT) is taken to get the transient response of an elastic half-space excited by a bounded acoustic beam. Numerical results are generated for elastic half-space excited with normal incidence of acoustic beam. Then the transient Rayleigh wave in the solid half-space is generated. The modeling is then extended to the transient response of an elastic half-space containing a crack, struck by a bounded acoustic beam. It is discussed in the paper what type of useful information that is hidden in the steady state solution can be obtained from the transient results.

AB - Transient ultrasonic waves in an elastic half-space generated by an ultrasonic transducer of finite size are modeled by the Distributed Point Source Method (DPSM). DPSM which is a Green's function based semi-analytical mesh-free technique is modified to incorporate the transient loading from a finite size acoustic transducer. Fast Fourier transform (FFT) of the transient loading is computed and then DPSM is used to compute the ultrasonic field at different frequencies and then inverse fast Fourier transform (IFFT) is taken to get the transient response of an elastic half-space excited by a bounded acoustic beam. Numerical results are generated for elastic half-space excited with normal incidence of acoustic beam. Then the transient Rayleigh wave in the solid half-space is generated. The modeling is then extended to the transient response of an elastic half-space containing a crack, struck by a bounded acoustic beam. It is discussed in the paper what type of useful information that is hidden in the steady state solution can be obtained from the transient results.

KW - DPSM

KW - FFT

KW - Transient response

KW - Ultrasonic modeling

UR - http://www.scopus.com/inward/record.url?scp=77953513412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953513412&partnerID=8YFLogxK

U2 - 10.1117/12.847447

DO - 10.1117/12.847447

M3 - Conference contribution

AN - SCOPUS:77953513412

SN - 9780819480651

VL - 7650

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

ER -