Designing limited diffraction beams

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 44, Issue 1, 1997, Pages 181-193

  Lu, Jian Yu ^a  

^a MAYO CLINIC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALOG TO DIGITAL CONVERSION; ELECTROMAGNETIC WAVES; ERRORS; FUNCTIONS; LEAST SQUARES APPROXIMATIONS; LINEAR ALGEBRA;

BEAM SHAPES; BESSEL BEAMS; FINITE APERTURE; LEAST SQUARES ERROR; LIMITED DIFFRACTION BEAMS; LINEAR EQUATIONS; WAVE EQUATIONS; X WAVES;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 0030735317     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.585215     Document Type: Article

References (44)

1. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, p. 356, 1941.
2. J. Durnin, Exact solutions for nondiffractirig beams. I. The scalar theory, J. Opt. Soc. Am. A, vol. 4, no. 4, pp. 651-654, 1987.
3. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, Diffraction-free beams, Phys. Rev. Lett., vol. 58, no. 15, pp. 1499-1501, April 13, 1987.
4. Jian-yu Lu, He-hong Zou, and J. F. Greenleaf, Biomedical ultrasound beam forming, Ultrasound Med. Biol., vol. 20, no. 5, pp. 403-428, July 1994.
5. J. N. Brittingham, Focus wave modes in homogeneous Maxwell's equations: transverse electric mode, J. Appl. Phys., vol. 54, no. 3, pp. 1179-1189, 1983.
6. Jian-yu Lu and J. F. Greenleaf, Diffraction-limited beams and their applications for ultrasonic imaging and tissue characterization, in New Developments in Ultrasonic Transducers and Transducer Systems, F. L. Lizzi, Ed., Proceedings SPIE, vol. 1733, pp. 92-119, 1992.
7. Jian-yu Lu, Tai K. Song, Randall R. Kinnick, and J. F. Greenleaf, In vitro and in vivo real-time imaging with ultrasonic limited diffraction beams, IEEE Trans. Med. Imag., vol. 12, no. 4, pp. 819-829, Dec. 1993.
8. Jian-yu Lu and J. F. Greenleaf, Pulse-echo imaging using a nondiffracting beam transducer, Ultrasound Med. Biol., vol. 17, no. 3, pp. 265-281, May 1991.
9. Jian-yu Lu and J. F. Greenleaf, Ultrasonic nondiffracting transducer for medical imaging, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 37, no. 5, pp. 438-447, Sept. 1990.
10. Jian-yu Lu and J. F. Greenleaf, Evaluation of a nondiffracting transducer for tissue characterization, IEEE 1990 Ultrason. Symp. Proc., 90CH2938-9, vol. 2, pp. 795-798, 1990.
11. Jian-yu Lu and J. F. Greenleaf, Application of Bessel beam for Doppler velocity estimation, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 42, no. 4, pp. 649-662, July 1995.
12. Jian-yu Lu and J. F. Greenleaf, Producing deep depth of field and depth-independent resolution in NDE with limited diffraction beams, Ultrason. Imag., vol. 15, no. 2, pp. 134-149, Apr. 1993.
13. R. Donnelly, D. Power, G. Templeman, and A. Whalen, Graphic simulation of superluminal acoustic localized wave pulses IEEE Trans. Ultrason., Ferroelect., Freq. Contr., vol. 41, no. 1, pp. 7-12, 1994.
14. R. W. Ziolkowski, Exact solutions of the wave equation with complex source locations, J. Math. Phys., vol. 26, no. 4, pp. 861-863, April 1985.
15. R. W. Ziolkowski, D. K. Lewis, and B. D. Cook, Evidence of localized wave transmission, Phys. Rev. Lett., vol. 62, no. 2, pp. 147-150, Jan. 9, 1989.
16. J. Ojeda-Castaneda and A. Noyola-lglesias, Nondiffracting wavefields in grin and free-space, Microwave and Opt. Tech. Lett., vol. 3, no. 12, pp. 430-433, Dec. 1990.
17. G. Indebetow, Nondiffracting optical fields: Some remarks on their analysis and synthesis, J. Opt. Soc. Am. A, vol. 6, no. 1, pp. 150-152, Jan. 1989.
18. Jian-yu 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, Jan. 1992.
19. Jian-yu Lu and J. F. Greenleaf, Experimental verification of nondiffracting X waves, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 39, no. 3, pp. 441-446, May 1992.
20. Jian-yu Lu, M. Fatemi, and J. F. Greenleaf, Pulse-echo imaging with X wave, Acoust. Imag., vol. 22, P. Tortoli, Ed., pp. 191-196, 1996.
21. M. Fatemi and M. A. Arad, A novel imaging system based on nondiffracting X waves, IEEE 1992 Ultrason. Symp. Proc., 92CH3118-7, vol. 1, pp. 609-612, 1992.
22. Tai K. Song, Jian-yu Lu and J. F. Greenleaf, Modified X waves with improved field properties, Ultrason. Imag., vol. 15, no. 1, pp. 36-47, Jan. 1993.
23. Jian-yu Lu and J. F. Greenleaf, Theory and acoustic experiments of nondiffracting X waves, IEEE 1991 Ultrason. Symp. Proc., 91CH3079-1, vol. 2, pp. 1155-1159, 1991.
24. Jian-yu Lu, Bowtie limited diffraction beams for low-sidelobe and large depth of field imaging, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 42, no. 6, pp. 1050-1063, Nov. 1995.
25. Jian-yu Lu, Producing bowtie limited diffraction beams with synthetic array experiment, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 43, no. 5, pp. 893-900, Sept., 1996.
26. Jian-yu Lu, Limited diffraction array beams, Int. J. Imaging Sys. and Tech., vol. 8, no. 1, pp. 127-137, Jan., 1997.
27. D. K. Hsu, F. J. Margetan, and D. O. Thompson, Bessel beam ultrasonic transducer: Fabrication method and experimental results, Appl. Phys. Lett., vol. 55, no. 20, pp. 2066-2068, Nov. 13, 1989.
28. Jian-yu Lu, He-hong Zou, and J. F. Greenleaf, A new approach to obtain limited diffraction beams, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 42, no. 5, pp. 850-853, Sept. 1995.
29. Jian-yu Lu and J. F. Greenleaf, A study of two-dimensional array transducers for limited diffraction beams, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 41, no. 5, pp. 724-739, Sept. 1994.
30. J. A. Campbell and S. Soloway, Generation of a nondiffracting beam with frequency independent beam width, J. Acoust. Soc. Am., vol. 88, no. 5, pp. 2467-2477, Nov. 1990.
31. Jian-yu Lu and J. F. Greenleaf, Formation and propagation of limited diffraction beams, in Acoust. Imag., vol. 20, Yu Wei and Ben-li Gu, Ed., pp. 331-343, 1993.
32. Jian-yu Lu and J. F. Greenleaf, Comparison of sidelobes of limited diffraction beams and localized waves, Acoustic Imaging, vol. 21, Joie Pierce Jones, Ed., pp. 145-152, 1995.
33. Jian-yu Lu and J. F. Greenleaf, Sidelobe reduction for limited diffraction pulse-echo systems, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 40, no. 6, pp. 735-746, Nov. 1993.
34. Jian-yu Lu and J. F. Greenleaf, A study of sidelobe reduction for limited diffraction beams, IEEE 1993 Ultrason. Symp. Proc., 93CH3301-9, vol. 2, pp. 1077-1082, 1993.
35. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C. Cambridge: Cambridge University Press, 1989, chs. 2 and 14.
36. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing, Englewood Cliffs, NJ: Prentice-Hall, 1975, chs. 1 and 5.
37. J. E. Hernandez, R. W. Ziolkowski, and S. R. Parker, Synthesis of the driving functions of an array for propagating localized wave energy, J. Acoust. Soc. Am., vol. 92, no. 1, pp. 550-562, July 1992.
38. J. W. Goodman, Introduction to Fourier Optics. New York: McGraw-Hill, 1968, chs. 2-4.
39. 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, Dec. 1973.
40. F. S. Foster, M. S. Patterson, M. Arditi, and J. W. Hunt, The conical scanner: a two transducer ultrasound scatter imaging technique, Ultrason. Imag., vol. 3, no. 1, pp. 62-82, Apr. 1981.
41. S. W. Smith, H. G. Pavy, Jr., and O. T. von Ramm, High-speed ultrasound volumetric imaging system - Part I: Transducer design and beam steering, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 38, No. 2, pp. 100-108, Mar. 1991.
42. O. T. von Ramm, S. W. Smith, and H. G. Pavy, Jr., High-speed ultrasound volumetric imaging system - Part II: Parallel processing and image display, IEEE Trans. Ultrason., Ferroelect. Freq. Contr., vol. 38, No. 2, pp. 109-115, Mar. 1991.
43. V. L. Newhouse, E. S. Furgason, G. F. Johnson, and D. A. Wolf, The dependence of ultrasound Doppler bandwidth on beam geometry, IEEE Trans. Sonic. Ultrason., vol. SU-27, pp. 50-59, 1980.
44. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, Maryland: The Johns Hopkins University Press, 1988, chs. 6 and 12.