Connection between X waves, fourier-bessel series and optimal modelling aperture for circular symmetric arrays

Proceedings - IEEE Ultrasonics Symposium

Volumn 3, Issue , 2005, Pages 1644-1647

  Fox, Paul D ^a   Lu, Jian Yu ^b   Holm, Sverre ^c   Tranquart, François ^a  

^a CHU BRETONNEAU   (France)

^b Toledo   (United States)

^c UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; ITERATIVE METHODS; NUMERICAL METHODS; OPTIMIZATION; WAVE EQUATIONS; WAVE TRANSMISSION;

FOURIER-BESSEL ANALYSIS; MODELING APERTURE; OPTIMAL ULTRASOUND FIELD CALCULATION; X WAVE TRANSFORM;

ULTRASONIC WAVES;

EID: 33744818839     PISSN: 10510117     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ULTSYM.2005.1603178     Document Type: Conference Paper

References (14)

1. S. Holm and P. D. Fox, "Analysis of Bessel beam quantisation in annular arrays," Proc. 22nd Scandinavian Symposium on Physical Acoustics, pp. 43-44, January 1999, Ustaoset, Norway, ISSN 1501-6773.
2. P. D. Fox and S. Holm, "Decomposition of acoustic fields in quantised Bessel beams," Ultrasonics, vol. 38, pp. 190-194, March 2000.
3. G. Tolstov, Fourier Series. New York: Dover Publications Inc., 1962.
4. F. Bowman, Introduction to Bessel Functions. New York: Dover Publications Inc., 1958.
5. J.-Y. Lu and A. Liu, "An X wave transform," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 47, no. 6, pp. 1472-1481, November 2000.
6. J. A. Stratton, Electromagnetic Theory. New York and London: McGraw-Hill Book Company, 1941, p. 356.
7. J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A, vol. 4, no. 4, pp. 651-654, 1987.
8. J.-Y. Lu and J. F. Greenleaf, "Nondiffracting X waves - exact solutions to free-space scalar wave equation and their finite aperture realizations," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 39, no. 1, pp. 19-31, January 1992.
9. J. H. Mcleod, "The Axicon: a new type of optical element," J. Opt. Soc. Am., vol. 44, p. 592, 1954.
10. C. B. Burckhardt, H. Hoffmann, and P. A. Grandchamp, "Ultrasound axicon: a device for focusing over a large depth," J. Acoust. Soc. Am., vol. 54, no. 6, pp. 1628-1630, December 1973.
11. M. S. Patterson and F. S. Foster, "Acoustic fields of conical radiators," IEEE Trans. Sonics Ultrason., vol. SU-29, pp. 83-92, March 1982.
12. P. D. Fox and S. Holm, "Modelling of cw annular arrays using limited diffraction Bessel beams," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 49, no. 1, pp. 85-93, January 2002.
13. P. D. Fox, J. Cheng, and J.-Y. Lu, "Fourier-Bessel field calculation and tuning of a CW annular array," IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 49, no. 9, pp. 1179-1190, September 2002.
14. P. D. Fox, J. Cheng, and J.-Y. Lu, "Theory and experiment of Fourier-Bessel field calculation and tuning of a PW annular array," J. Acoust. Soc. Am., vol. 113, no. 5, pp. 2412-2423, May 2003.