A fast method for simulating the propagation of pulses radiated by a rectangular normal transducer into an elastic half-space

Journal of the Acoustical Society of America

Volumn 104, Issue 6, 1998, Pages 3199-3211

  Gridin, Dmitri ^a  

^a LONDON SOUTH BANK UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; PRIORITY JOURNAL; SIMULATION; TECHNIQUE; ULTRASOUND; ULTRASOUND TRANSDUCER; VELOCITY;

EID: 0032415859     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.423960     Document Type: Article

References (26)

1. Babič V. M., and Buldyrev, V. S. (1991). Short-Wavelenglh Diffraction Theory: Asymptotic Methods (Springer-Verlag, Heidelberg).
2. Babič, V. M., and Kirpichnikova N. Ya. (1975). The Boundary-Layer Method in Diffraction Problems (Springer-Verlag, Berlin).
3. Bleistein, N., and Handelman, R. A. (1986). Asymptotic Expansions of Integrals (Dover, New York).
4. Borovikov, V. A. (1994). Uniform Stationary Phase Method (IEE Electromagnetic Series, Vol. 40, London).
5. Buchal, R. N., and Keller, J. B. (1960). "Boundary layer problems in diffraction theory," Commun. Pure Appl. Math. 13, 85-114.
6. Clemmow, P. C., and Senior, T. B. A. (1953). "A note on a generalized Fresnel integral," Proc. Cambridge Philos. Soc. 49, 570-572.
7. Djelouah, H., and Baboux, J. C. (1992). "Transient ultrasonic field radiated by a circular transducer in a solid medium," J. Acoust. Soc. Am. 92, 2932-2941.
8. Emeterio, J. L. S., and Ullate, L. G. (1992). "Diffraction impulse response of rectangular transducers," J. Acoust. Soc. Am. 92, 651-662.
9. Fradkin, L. J., and Kiselev, A. P. (1997). "The two-component representation of time-harmonic elastic body waves in the high and intermediate frequency regime," J. Acoust: Soc. Am. 101, 52-65.
10. Fradkin, L. J., Kiselev, A. P., and Krylova, E. (1998). "The radiating nearfield asymptotics of a time-harmonic circular normal ultrasonic transducer in an elastic half-space," J. Acoust. Soc. Am. 104, 1178-1187.
11. Gridin, D. (1998). "High-frequency asymptotic description of head waves and boundary layers surrounding the critical rays in an elastic half-space," J. Acoust. Soc. Am. 104, 1188-1197.
12. Gridin, D., and Fradkin, L. J. (1998). "High-frequency asymptotic description of pulses radiated by a circular normal transducer into an elastic half-space," J. Acoust. Soc. Am. 104, 3190-3198.
13. Ilan, A., and Weight, J. P. (1990). "The propagation of short pulses of ultrasound from a circular source coupled to an isotropic solid," J. Acoust. Soc. Am. 88, 1142-1151.
14. Jones, D. V., and Petyt, M. (1993). "Ground vibration in the vicinity of a rectangular load on a half-space," J. Sound Vib. 166, 141-159.
15. Lamb, H. (1904). "On the propagation of tremors over the surface of an elastic solid," Philos. Trans. R. Soc. London, Ser. A 203, 1-42.
16. Lhémery, A. (1994). "A model for the transient ultrasonic field radiated by an arbitrary loading in a solid," J. Acoust. Soc. Am. 96, 735-741.
17. Lockwood, J. C., and Willete, J. G. (1973). "High-speed method for computing the exact solution for the pressure variations in the nearfield of a baffled piston," J. Acoust. Soc. Am. 53, 3776-3786.
18. Ludwig, R., and Lord, W. (1988). "A finite-element formulation for the study of ultrasonic NDT system," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 35, 809-820.
19. McNab, A., Cochran, A., and Campbell, M. A. (1989). "The calculation of acoustic fields in solids for transient normal surface force sources of arbitrary geometry and apodization," J. Acoust. Soc. Am. 87, 1455-1465.
20. Miller, G. F., and Pursey, H. (1954). "The field and radiation impedance of mechanical radiators on the free surface of a semi-infinite isotropic solid," Proc. R. Soc. London, Ser. A 223, 521-541.
21. Norwood, F. R. (1969). "Exact transient response of an elastic half space loaded over a rectangular region of its surface," J. Appl. Mech. 36, 516-522.
22. Scarano, G., Denisenko, N., Matteucci, M., and Pappalardo, M. (1985). "A new approach to the derivation of the impulse response of a rectangular piston," J. Acoust. Soc. Am. 78, 1109-1113.
23. Schmerr, L. W., and Sedov, A. (1989). "An elastodynamic model for compressional and shear wave transducers," J. Acoust. Soc. Am. 86, 1988-1999.
24. Skudrzyk, E. (1971). The Foundations of Acoustics (Springer-Verlag, Wien).
25. Thomson, W. T., and Kobori, T. (1963). "Dynamic compliance of rectangular foundations on an elastic half-space," J. Appl. Mech. 30, 579-584.
26. Weight, J. P. (1987). "A model for the propagation of short pulses of ultrasound in a solid," J. Acoust. Soc. Am. 81, 815-826.