Generation of a nondiffracting beam with frequency-independent beamwidth

Journal of the Acoustical Society of America

Volumn 88, Issue 5, 1990, Pages 2467-2477

  Campbell, James A ^a   Soloway, Sidney ^b  

^a Asyst Software Technologies ^*  (United States)

^b NONE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE;

EID: 0025258941     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.400087     Document Type: Article

References (13)

1. J. H. McLeod, “The axicon: a new type of optical element, ” J. Opt. Soc. Am. 44, 592 (1954).
2. S. Fujiwara, “Optical properties of conic surfaces. I. Reflecting cone, ” J. Opt. Soc. Am. 52, 287–292 (1962).
3. C. B. Burckhardt, H. Hoffmann, and P. A. Grandchamp, “Ultrasound axicon: a device for focusing over a large depth, ” J. Acoust. Soc. Am. 54, 1628 (1973).
4. K. Yamada and H. Shimizu, “Conical and toroidal piezoelectric polymer transducers for long range focusing, ” IEEE Trans. Sonics Ultrason. SU-30, 215 (1983).
5. M. S. Patterson and F. S. Foster, “Acoustic fields of conical radiators, ” IEEE Trans. Sonics Ultrason. SU-29, 83 (1982).
6. J. Dumin, “Exact solutions for nondiffracting beams. I. The scalar theory, ” J. Opt. Soc. Am. 4, 651 (1987).
7. J. Dumin, J. J. Miceli, Jr., and J. H. Eberly, “Diffraction-free beams, ” Phys. Rev. Lett. 58, 1499 (1987).
8. D. R. Dietz, “Apodized conical focusing for ultrasound imaging, ” IEEE Trans. Sonics Ultrason. SU-29, 128 (1982).
9. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 2.
10. A. Erdelyi, W. Magnus, F. Oberhettinger, and F. Tricomi, Bateman Manuscript Project (McGraw-Hill, New York, 1954), Vol. 2.
11. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
12. W. H. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical Recipes (Cambridge U.P., New York, 1988).
13. W. N. Cobb, “Frequency domain method for the prediction of the ultrasonic field patterns of pulsed, focused radiators, ” J. Acoust. Soc. Am. 75, 72 (1984).