A complex-transducer-point model for finite emitting and receiving ultrasonic transducers

Wave Motion

Volumn 24, Issue 1, 1996, Pages 21-40

  Zeroug, Smaine ^a   Stanke, Fred E ^a   Burridge, Robert ^a  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC SIGNAL PROCESSING; ELASTICITY; ELECTROACOUSTIC TRANSDUCERS; FLUID STRUCTURE INTERACTION; FREQUENCIES; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; TIME DOMAIN ANALYSIS; ULTRASONIC WAVES;

ACOUSTIC PRESSURE FIELD; COMPLEX SOURCE POINT TECHNIQUE; COMPLEX TRANSDUCER POINT TECHNIQUE; FREQUENCY SCALING RULES; GAUSSIAN BEAMS; HELMHOLTZ THEOREM; LAYERED FLUID ELASTIC CONFIGURATION; TRANSDUCER BEAM COLLIMATION; ULTRASONIC EMITTERS;

ULTRASONIC TRANSDUCERS;

EID: 0030217461     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-2125(96)00004-2     Document Type: Article

References (28)

1. G.A. Deschamps, "Gaussian beam as a bundle of complex rays", Electron, lett. 7, 684-685 (1971).
2. L.B. Felsen, "Geometrical theory of diffraction, Evanescent waves, complex rays, and Gaussian beams", Geophys, J. Roy. Astron. Soc. 79, 77-88 (1984).
3. I.V. Lindell and E. Alanen, "Exact image theory for the Sommerfeld half-space problem, Part I: Vertical magnetic dipole", IEEE Trans. Antennas and Propagation 32(2) 126-133 (1984).
4. M. Couture and P.A. Belanger, "From Gaussian beam to complex-source-point spherical wave", Phys. Rev. A 24, 355-359 (1981).
5. J.J. Maciel and L.B. Felsen, "Systematic study of fields due to extended apertures by Gaussian beam discretization", IEEE Trans. Antennas and Propagation AP-37, 884 (1989).
6. J.M. Klosner, L.B. Felsen, I.T. Lu and H. Grossfeld, "Three-dimensional source field modeling by self-consistent Gaussian beam superposition", J. Acoust. Soc. Amer. 91, 1809 (1992).
7. E. Heyman, B.Z. Steinberg and R, Iancunescu, "Electromagnetic complex source pulsed beam fields", IEEE Trans. Antennas and Propagation 38, 957-963 (1990).
8. J.W. Ra, H.L. Bertoni and L.B. Felsen, "Reflection and transmission of beams at a dielectric interface", SIAM J. Appl. Math. 24, 396-413 (1973).
9. S.-Y. Shin and L.B. Felsen, "Multiply reflected Gaussian beams in a circular cross section", IEEE Trans, Microwave, Theory Tech. MTT-26, 845-851 (1978).
10. X.J. Gao and L.B. Felsen, "Complex ray analysis of beam transmission through two-dimensional radomes", IEEE Trans. Antennas and Propagation AP-33, 963-975 (1985).
11. A.N. Norris, "Complex point source representation of real point sources and the Gaussian beam summation method", J. Opt. Soc. Amer. A 3, 2005-2010 (1986).
12. H.-C. Choi and J.G. Harris, "Scattering of an ultrasonic beam from a curved interface", Wave motion 11, 383-406 (1989).
13. L.B. Felsen and S. Zeroug, "Ultrasonic beam method for localized weak debonding in a layered aluminum plate", J. Acoust. Soc. Amer. 90, 1527-1538 (1991).
14. S. Zeroug and L.B. Felsen, "Nonspecular reflection of two-and three-dimensional acoustic beams from fluid-immersed plane layered elastic structures", Acoust. Soc. Amer. 95, 3075-3089 (1994).
15. A. Boag and R. Mittra, "Complex multipole-beam approach to three-dimensional electromagnetic scattering problems", J. Opt. Soc. Amer. A 11, 1505-1512 (1994).
16. E. Erez and Y. Leviatan, "Electromagnetic scattering analysis using a model of dipoles located in complex space", IEEE Trans. Antennas and Propagation 42, 1620-1624 (1994).
17. A.N. Norris and Thorkild B. Hansen, "Wavefield representation using compact and directionally localized sources", to appear in the IMA volume entitled "Computational Wave Propagation", G. Kriegsman and B. Enguist, eds., Springer, Berlin (1996).
18. B.B. Baker and E.T. Copson, The Mathematical Theory of Huygens' Principle, 2nd ed., Clarendon Press, Oxford (1950) Chapter I.
19. L.L. Foldy and H, Primakoff, "A general theory of passive linear electroacoustic transducers and the elecroacoustic reciprocity theorem. I," J. Acoust. Soc. Amer. 17, 109-120 (1945).
20. A.T. de Hoop, S. Zeroug and S. Kostek, "Transient analysis of the transmitting and receiving properties of a focused acoustic transducer with arbitrary rim," Schlumberger-Doll Research, Research Note GEO-002 94-28b (available upon request from authors).
21. J.J. Wen and M.A. Breazeale, "A diffraction beam field expressed as the superposition of Gaussian beams", J. Acoust, Soc. Amer. 83, 1752 (1988).
22. C.P. Hsieh, S. Kostek and F. Stanke, "Gaussian-beam modeling of ultrasonic transducers using nearfield experimental data", in: D.O. Thompson and D.E. Chimenti, eds., Review of Progress in Quantitative Nondestructive Evaluation, Vol. 12, Plenum Press, New York (1993) 919-924.
23. M.D. Prange and F.E. Stanke, "Gaussian beam expansions for focused transducers", IEEE Ultrasonic Symp. 2, 995-998 (1992).
24. Keiiti Aki and Paul G. Richards, Quantitative Seismology: Theory and methods Freeman, New York (1980), Chapter I (Section 6.1).
25. S. Zeroug and F.E. Stanke "Ultrasonic pulsed beam interaction with a fluid-loaded elastic plate: Theory", J. Acoust. Soc. Amer. to be submitted "Ultrasonic pulsed beam interaction with a fluid-loaded elastic plate: Experimental validation", J. Acoust. Soc. Amer., to appear.
26. S. Zeroug and F.E. Stanke "Ultrasonic pulsed beam interaction with a fluid-loaded elastic plate: Theory", J. Acoust. Soc. Amer. to be submitted "Ultrasonic pulsed beam interaction with a fluid-loaded elastic plate: Experimental validation", J. Acoust. Soc. Amer., to appear.
27. S. Zeroug, F.E. Stanke and R. Burridge, "A complex-transducer-point model for finite sourcing and receiving ultrasonic transducers", in: D.O. Thompson and D.E. Chimenti, eds., Review of Progress in Quantitative Nondestructive Evaluation, 13, Plenum Press, New York (1994) 991-998.
28. S. Zeroug, "Pulsed beam excitation of leaky Rayleigh waves on shaped fluid-solid interfaces", Proc, IEEE ultrasonics symp., Levy, Schneider and McAvoy, eds., Vol. 2, IEEE, New York (1994) 1091-1094.