Some extensions of the Gaussian beam expansion: Radiation fields of the rectangular and the elliptical transducer

Journal of the Acoustical Society of America

Volumn 113, Issue 6, 2003, Pages 3043-3048

  Ding, Desheng ^a   Zhang, Yu ^a   Liu, Jinqiu ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC TRANSDUCERS; COMPUTATIONAL METHODS; FUNCTIONS; INTEGRAL EQUATIONS; PISTONS;

RADIATION FIELDS;

ACOUSTIC WAVES;

ACOUSTICS;

ACOUSTICS; ARTICLE; CALCULATION; CORRELATION COEFFICIENT; MATHEMATICAL ANALYSIS; NORMAL DISTRIBUTION; PRIORITY JOURNAL; RADIATION FIELD;

EQUIPMENT DESIGN; HUMANS; MATHEMATICAL COMPUTING; NORMAL DISTRIBUTION; TRANSDUCERS; ULTRASONOGRAPHY;

EID: 0037607501     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1572144     Document Type: Article

References (20)

1. B. D. Cook and W. J. Arnoult III, "Gaussian-Laguerre/Hermite formulation for the nearfield of an ultrasonic transducer," J. Acoust. Soc. Am. 59, 9-11 (1976).
2. E. Cavanagh and B. D. Cook, "Gaussian-Laguerre description of ultrasonic fields-Numerical Example: Circular piston," J. Acoust. Soc. Am. 67, 1136-1140 (1980).
3. J. J. Wen and M. A. Breazeale, "A diffraction beam field expressed as the superposition of Gaussian beams," J. Acoust. Soc. Am. 83, 1752-1756 (1988).
4. R. B. Thompson, T. A. Gray, J. H. Rose, V. G. Kogan, and E. F. Lopes, "The radiation of elliptical and bicylindrically focused piston transducers," J. Acoust. Soc. Am. 82, 1818-1828 (1987).
5. D. Ding, J. Lin, Y. Shui, G. Du, and D. Zhang, "An analytical description of ultrasonic field produced by circular piston transducer," Acta Acust. (Beijing) 18, 249-255 (1993).
6. D. Ding, Y. Shui, J. Lin, and D. Zhang, "A simple calculation approach for the second harmonic sound field generated by an arbitrary axialsymmetric source," J. Acoust. Soc. Am. 100, 727-733 (1996).
7. D. Ding and Z. Lu, "A simplified method to calculate the sound field of pistonlike source," Chin. J. Acoust. 15, 213-222 (1996), also appearing in Acta Acust. (Beijing) 21 (Suppl. 4), 421-428 (1996).
8. D. Ding and Z. Lu, "A simplified method to calculate the sound field of pistonlike source," Chin. J. Acoust. 15, 213-222 (1996), also appearing in Acta Acust. (Beijing) 21 (Suppl. 4), 421-428 (1996).
9. D. Ding and Z. Lu, "A simplified calculation for the second-order fields generated by axial-symmetric sources at bifrequency," in Nonlinear Acoustics in Perspective: Proceedings of the 14th International Symposium on Nonlinear Acoustics, edited by R. J. Wei (Nanjing U. P., Nanjing, 1996), pp. 183-188.
10. D. Ding, "A simplified algorithm for the second-order sound fields," J. Acoust. Soc. Am. 108, 2759-2764 (2000).
11. D. Ding and X. Liu, "Approximate description for Bessel, Bessel-Gauss and Gaussian beams with finite aperture," J. Opt. Soc. Am. A 16, 1286-1293 (1999).
12. M. D. Prange and R. G. Shenoy, "A fast Gaussian beam description of ultrasonic fields based on Prony's method," Ultrasonics 34, 117-119 (1996).
13. O. B. Matar, J. P. Rernenieras, C. Bruneel, A. Roncin, and F. Patat, "Ultrasonic sensing of vibrations," Ultrasonics 36, 391-396 (1998).
14. D. Huang and M. A. Breazeale, "A Gaussian finite-element method for description of sound diffraction," J. Acoust. Soc. Am. 106. 1771-1781 (1999).
15. M. Spies, "Transducer field modeling in anisotropic media by superposition of Gaussian base function," J. Acoust. Soc. Am. 105, 633-638 (1999).
16. Y. Zhang, J. Liu, and D. Ding, "Sound field calculations of elliptical pistons by the superposition of two-dimensional Gaussian beams," Chin. Phys. Lett. 19, 1825-1827 (2002).
17. A. Freedman, "Sound field of a rectangular piston," J. Acoust. Soc. Am. 32, 197-201 (1960).
18. J. Marini and J. Rivenez, "Acoustical fields from rectangular ultrasonic transducers for nondestructive testing and medical diagnosis," Ultrasonics 12, 251-256 (1974).
19. F. D. Martin and M. A. Breazeale, "A simple way to eliminate diffraction lobes emitted by ultrasonic transducers," J. Acoust. Soc. Am. 49, 1668-1669 (1971).
20. M. A. Breazeale, F. D. Martin, and B. Blackburn, "Reply to 'Radiation pattern of partially electroded piezoelectric transducers,"' J. Acoust. Soc. Am. 70, 1791-1793 (1981).