Aperture synthesis of time-limited X waves and analysis of their propagation characteristics

Journal of the Acoustical Society of America

Volumn 103, Issue 5 I, 1998, Pages 2287-2295

  Chatzipetros, Argyrios A ^a   Shaarawi, Amr M ^b   Besieris, Ioannis M ^c   Abdel Rahman, Mohamed A ^c  

^a MOTOROLA INC   (United States)

^b CAIRO UNIVERSITY   (Egypt)

^c State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; CALCULATION; DIFFRACTION; ENERGY; FREQUENCY ANALYSIS; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL;

EID: 0031812325     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.422747     Document Type: Article

References (29)

1. A. M. Shaarawi, R. W. Ziolkowski, and I. M. Besieris, "On the evanescent fields and the causality of the focus wave modes," J. Math. Phys. 36, 5565-5587 (1995).
2. A. M. Shaarawi, I. M. Besieris, R. W. Ziolkowski, and S. M. Sedky, "The generation of approximate focus wave mode pulses from wide-band dynamic Gaussian apertures," J. Opt. Soc. Am. A 12, 1954-1964 (1995).
3. A. M. Shaarawi, S. M. Sedky, R. W. Ziolkowski, and I. M. Besieris, "The spatial distribution of the illumination of dynamic apertures and its effect on the decay rate of the radiated localized pulses," J. Phys. A 29, 5157-5179 (1996).
4. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, "Aperture realizations of the exact solutions to homogeneous-wave equations," J. Opt. Soc. Am. A 10, 75-87 (1993).
5. A. M. Shaarawi, S. M. Sedky, R. W. Ziolkowski, and F. M. Taiel, "Effect of the switching pattern of the illumination of dynamic apertures on the ranges of the generated waves," J. Opt. Soc. Am. A 13, 1712-1718 (1996).
6. A. M. Shaarawi, S. M. Sedky, F. M. Taiel, R. W. Ziolkowski, and I. M. Besieris, "Spectral analysis of time-limited pulsed Gaussian wavefields," J. Opt. Soc. Am. A 13, 1817-1835 (1996).
7. S. M. Sedky, A. M. Shaarawi, F. M. Taiel, and I. M. Besieris, "On the diffraction length of localized waves generated by dynamic apertures," J. Opt. Soc. Am. A 13, 1719-1727 (1996).
8. R. W. Ziolkowski, "Localized transmission of electromagnetic energy," Phys. Rev. A 39, 2005-2033 (1989).
9. R. W. Ziolkowski, "Localized wave physics and engineering," Phys. Rev. A 44, 3960-3987 (1991).
10. R. W. Ziolkowski, I. M. Besieris, and A. M. Shaarawi, "Localized wave representations of acoustic and electromagnetic radiation," Proc. IEEE 79, 1371-1378 (1991).
11. A. M. Vengsarkar, I. M. Besieris, A. M. Shaarawi, and R. W. Ziolkowski, "Closed-form localized wave solutions in optical fiber waveguides," J. Opt. Soc. Am. A 9, 937-949 (1992).
12. A. M. Shaarawi, I. M. Besieris, and R. W. Ziolkowski, "Localized energy pulse trains launched from an open, semi-infinite, circular waveguide," J. Appl. Phys. 65, 805-813 (1989).
13. J. N. Brittingham, "Focus wave modes in homogeneous Maxwell equations: transverse electric mode," J. Appl. Phys. 54, 1179-1189 (1983).
14. R. W. Ziolkowski, "Exact solutions of the wave equation with complex source locations," J. Math. Phys. 26, 861-863 (1985).
15. J. Durnin, "Exact solutions for nondiffracting beams. I. scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987).
16. J. Y. Lu and J. F. Greenleaf, "Nondiffracting X waves - exact solutions to free space scalar wave equation and their finite aperture realization," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19-31 (1992).
17. J. Y. Lu, H. Zou, and J. F. Greenleaf, "A new approach to obtain limited diffraction beams," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 42, 850-853 (1995).
18. J. Y. Lu and J. F. Greenleaf, "Experimental verification of nondiffracting X waves," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 441-446 (1992).
19. J. Y. Lu and J. F. Greenleaf, "Sidelobe reduction for limited diffraction pulse-echo system," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 40, 735-746 (1993).
20. J. Y. Lu and J. F. Greenleaf, "Ultrasonic nondiffracting transducer for medical imaging," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 37, 438-447 (1990).
21. J. Y. Lu, M. Fatemi, and J. F. Greenleaf, "Pulsed-echo imaging with X wave," Acoust. Imaging 22, 191-196 (1996).
22. J. Y. Lu and J. F. Greenleaf, "Diffraction-limited beams and their applications for ultrasonic imaging and tissue characterization," Proc. SPIE 1733, 92-119 (1992).
23. J. Y. Lu, "Designing limited diffraction beams," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 181-193 (1997).
24. F. Hsu, J. Margetan, and D. O Thomson, "Bessel beam ultrasonic transducer: Fabrication method and experimental results," Appl. Phys. Lett. 55, 2066-2068 (1989).
25. D. Power, R. Donnelly, and R. MacIsaac, "Spherical scattering of super-positions of localized waves," Phys. Rev. E 48, 1410-1417 (1993).
26. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965).
27. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), Sec. 11.3.
28. B. Hafizi and P. Sprangle, "Diffraction effects in directed radiation beams," J. Opt. Soc. Am. A 8, 705-717 (1991).
29. A. M. Shaarawi, "Comparison of two localized wave fields generated from dynamic apertures," J. Opt. Soc. Am. A 14, 1804-1816 (1997).