Skip to main content

Formation and Propagation of Limited Diffraction Beams

  • Chapter
Book cover Acoustical Imaging

Part of the book series: Acoustical Imaging ((ACIM,volume 20))

Abstract

Since the first discovery of localized waves (focused wave mode) in 19831 and limited diffraction beams (Bessel beams) in 1987,2 great advancement in both theory and experiment of these beams have been achieved.3–6 Generalization of the limited diffraction beams and their applications to medical ultrasonic imaging, biological tissue characterization, and ultrasonic nondestructive evaluation of materials have also been reported.7–15

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.B. Brittingham, “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. ,54(3):1179–1189 (1983).

    Article  ADS  Google Scholar 

  2. J. Durnin, “Exact solutions for nondiffracting beams. I. The scalar theory,” J. Opt. Soc. Am. ,4(4):651–654 (1987).

    Article  ADS  Google Scholar 

  3. R.W. Ziolkowski, D.K. Lewis, and B.D. Cook, “Evidence of localized wave transmission,” Phys. Rev. Lett. ,62(2): 147–150 (Jan. 9, 1989).

    Article  ADS  Google Scholar 

  4. G. Indebetow, “Nondiffracting optical fields: some remarks on their analysis and synthesis,” J. Opt. Soc. Am. A ,6(1): 150–152 (Jan., 1989).

    Article  ADS  Google Scholar 

  5. D.K. Hsu, F.J. Margetan, and D.O. Thompson, “Bessel beam ultrasonic transducer: fabrication method and experimental results,” Appl. Phys. Lett. ,55(20):2066–2068 (Nov. 13, 1989).

    Article  ADS  Google Scholar 

  6. J.A. Campbell and S. Soloway, “Generation of a nondiffracting beam with frequency independent beam width,” J. Acoust. Soc. Am. ,88(5):2467–2477 (Nov., 1990).

    Article  ADS  Google Scholar 

  7. J-y. Lu and J.F. Greenleaf, “Ultrasonic nondiffracting transducer for medical imaging,” IEEE Trans. Ultrason., Ferroelec., Freq. Contr. ,37(5):438–447 (Sept., 1990).

    Article  Google Scholar 

  8. J-y. Lu, and J.F. Greenleaf, “Evaluation of a nondiffracting transducer for tissue characterization,” [IEEE 1990 Ultrasonics Symposium, Honolulu, HI, Dec. 4–7, 1990], IEEE 1990 Ultrason. Symp. Proc. ,90CH2938-9, 2:795-798 (1990).

    Google Scholar 

  9. J-y. Lu and J.F. Greenleaf, “Pulse-echo imaging using a nondiffracting beam transducer,” Ultrasound Med. Biol. ,17(3):265–281 (May, 1991).

    Article  Google Scholar 

  10. J-y. Lu and J.F. Greenleaf, “Theory and acoustic experiments of nondiffracting X waves,” [IEEE 1991 Ultrasonics Symposium, Lake Buena Vista, FL, December 8–11, 1991], IEEE 1991 Ultrason. Symp. Proc. ,91CH3079-1, 2:1155-1159 (1991).

    Google Scholar 

  11. 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., Ferroelec, Freq. Cont. ,39(1): 19-31 (Jan., 1992).

    Google Scholar 

  12. J-y. Lu and J.F. Greenleaf, “Experimental verification of nondiffracting X waves,” IEEE Trans. Ultrason., Ferroelec, Freq. Contr ,39(3):441–446 (May, 1992).

    Article  ADS  Google Scholar 

  13. J-y. Lu and J.F. Greenleaf, “Nondestructive evaluation of materials with a J0 Bessel transducer,” [17th International Symposium on Ultrasonic Imaging and Tissue Characterization, Arlington, VA, June 1–3, 1992], Ultrason. Imaging ,14(2):203–204 (April, 1992) (abs.).

    Google Scholar 

  14. J-y. Lu and J.F. Greenleaf, “Sidelobe reduction of nondiffracting pulse-echo images by deconvolution,” [17th International Symposium on Ultrasonic Imaging and Tissue Characterization, Arlington, VA, June 1–3, 1992], Ultrason. Imaging, 14(2):203 (April, 1992) (abs.).

    Google Scholar 

  15. J-y. Lu and J.F. Greenleaf, “Diffraction-limited beams and their applications for ultrasonic imaging and tissue characterization,” [SPIE’s 1992 International Symposium on Optical Applied Science and Engineering, San Diego, CA, July 19-24, 1992], New Developments in Ultrasonic Transducers and Transducer Systems ,F.L. Lizzi, ed. (Invited paper).

    Google Scholar 

  16. J.W. Goodman, Introduction to Fourier Optics. McGraw-Hill, New York, chs. 2–4 (1968).

    Google Scholar 

  17. J-y. Lu, T. Kinter, and J.F. Greenleaf, “Measurement and dynamic display of acoustic wave pulses,” [IEEE 1989 Ultrasonics Symposium, Montreal, Quebec, Canada, Oct. 3–6, 1989], IEEE 1989 Ultrason. Symp. Proc. ,89CH2791-2, 1:673–676 (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Lu, Jy., Greenleaf, J.F. (1993). Formation and Propagation of Limited Diffraction Beams. In: Wei, Y., Gu, B. (eds) Acoustical Imaging. Acoustical Imaging, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2958-3_46

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-2958-3_46

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6286-9

  • Online ISBN: 978-1-4615-2958-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics