On the radiation of ultrasound into an isotropic elastic half-space via wavefront expansions of the impulse response

Journal of the Acoustical Society of America

Volumn 105, Issue 5, 1999, Pages 2565-2573

  Gridin, Dmitri ^a  

^a LONDON SOUTH BANK UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PRIORITY JOURNAL; RADIATION; SOUND; SOUND PRESSURE; SOUND TRANSMISSION; ULTRASOUND; WAVEFORM;

EID: 0032890843     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.426872     Document Type: Article

References (30)

1. Achenbach, J. D. (1973). Wave Propagation in Elastic Solids (North-Holland, New York).
2. Babič, V. M., and Buldyrev, V. S. (1991). Short-Wavelength Diffraction Theory: Asymptotic Methods (Springer-Verlag, Heidelberg).
3. Borovikov, V. A. (1966). Diffraction by Polygons and Polyhedra (Nauka, Moscow).
4. Borovikov, V. A. (1994). Uniform Stationary Phase Method (IEE Electromagnetic Series, London), Vol. 40.
5. Bresse, L. F., and Hutchins, D. A. (1989). "Transient generation of elastic waves in solids by a disk-shaped normal force source," J. Acoust. Soc. Am. 86, 810-817.
6. Chapman, C. J. (1992). "Time-domain asymptotics and the method of stationary phase," Proc. R. Soc. London, Ser. A 437, 25-40.
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. Erdélyi, A. (Ed). (1954). Tables of Integral Transforms, Vol. II (McGraw-Hill, New York).
9. Fradkin, L. J., Kiselev, A. P., and Krylova, E. (1998). "The radiating near field asymptotics of a time-harmonic circular normal ultrasonic transducer in an elastic half-space," J. Acoust. Soc. Am. 104, 1178-1187.
10. Friedlander, F. G. (1958). Sound Pulses (Cambridge University Press, Cambridge).
11. Gakenheimer, D. C., and Miklowitz, J. (1969). "Transient excitation of an elastic half space by a point load travelling on the surface," J. Appl. Mech. 36, 505-515.
12. Gridin, D. (1998). "High-frequency asymptotic description of head waves and boundary layers surrounding critical rays in an elastic half-space," J. Acoust. Soc. Am. 104, 1188-1197.
13. 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.
14. 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.
15. Keller, J. B., and Blank, A. (1951). "Diffraction and reflection of pulses by wedges and corners," Commun. Pure Appl. Math. 4, 75-94.
16. Knopoff, L., and Gilbert, F. (1959). "First motion method in theoretical seismology," J. Acoust. Soc. Am. 31, 1161-1168.
17. Laturelle, F. G. (1990). "The stresses produced in an elastic half-space by a normal step loading over a circular area: analytical and numerical results," Wave Motion 12, 107-127.
18. Lhémery, A. (1994). "A model for the transient ultrasonic field radiated by an arbitrary loading in a solid," J. Acoust. Soc. Am. 96, 3776-3786.
19. Lhémery, A., and Stacey, R. (1995). "Transient field radiated by nonuniform transducers in a solid calculated by an approximate model and the finite-difference method," Review of Progress in Quantitative Nondestructive Evaluation, Vol. 14, edited by D. O. Thompson and D. E. Chimenti (Plenum, New York), pp. 997-1004.
20. Lighthill, M. J. (1958). Fourier Analysis and Generalized Functions (Cambridge University Press, Cambridge).
21. 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.
22. Miklowitz, J. (1978). The Theory of Elastic Waves and Waveguides (North-Holland, Amsterdam).
23. 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.
24. Prentice, P. R. (1994). "Time-domain asymptotics. I. General theory for double integrals," Proc. R. Soc. London, Ser. A 446, 341-360.
25. Schmerr, L. W., and Sedov, A. (1989). "An elastodynamic model for compressional and shear wave transducers," J. Acoust. Soc. Am. 86, 1988-1999.
26. Stepanishen, P. R. (1971). "Transient radiation from pistons in an infinite planar battle," J. Acoust. Soc. Am. 49, 1629-1638.
27. Stepanishen, P. R. (1974). "Acoustic transients in the far-field of a baffled circular piston using the impulse response approach," J. Sound Vib. 32, 295-310.
28. Stepanishen, P. R. (1976). "Asymptotic behavior of the acoustic nearfield of a circular piston," J. Acoust. Soc. Am. 59, 749-754.
29. Tang, X. M., Zhenya, Z., and Toksöz, M. N. (1994). "Radiation patterns of compressional and shear transducers at the surface of an elastic half-space," J. Acoust. Soc. Am. 95, 71-76.
30. Weight, J. P. (1987). "A model for the propagation of short pulses of ultrasound in a solid," J. Acoust. Soc. Am. 81, 815-826.