OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 25 — Sep. 1, 2007
  • pp: 6454–6459

Focal shift in focused truncated pulsed-laser beam

Ying Zhong  »View Author Affiliations

Applied Optics, Vol. 46, Issue 25, pp. 6454-6459 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (669 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The focal shift of a focused truncated pulsed-laser beam is investigated. In the case of the Fresnel approximation, the analytic expression of the time-averaged intensity distribution along the axis is derived based on the series expansion. It shows that the focal shift of the pulsed beam can be completely determined by a series of normalized spectrum moments and the central Fresnel number defined according to the central frequency of the pulse. The absolute value of the focal shift of the pulsed beam decreases monotonously and slowly with the normalized spectrum width increasing and the central Fresnel number fixed, and it increases monotonously with the central Fresnel number decreasing and the normalized spectrum width fixed. Besides the central Fresnel number and the normalized spectrum width, the shape of spectral intensity of the pulse affects the focal shift too.

© 2007 Optical Society of America

OCIS Codes
(220.2560) Optical design and fabrication : Propagating methods
(320.5550) Ultrafast optics : Pulses
(320.7090) Ultrafast optics : Ultrafast lasers

ToC Category:
Ultrafast Optics

Original Manuscript: April 11, 2007
Revised Manuscript: June 26, 2007
Manuscript Accepted: July 12, 2007
Published: August 31, 2007

Ying Zhong, "Focal shift in focused truncated pulsed-laser beam," Appl. Opt. 46, 6454-6459 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. Y. Li and E. Wolf, "Focal shifts in diffracted converging spherical waves," Opt. Commun. 39, 211-215 (1981). [CrossRef]
  2. Y. Li, "Dependence of the focal shift on Fresnel number and f number," J. Opt. Soc. Am. 72, 770-774 (1982). [CrossRef]
  3. C. J. R. Sheppard and P. Török, "Dependence of focal shift on Fresnel number and angular aperture," Opt. Lett. 23, 1803-1804 (1998). [CrossRef]
  4. Y. Li, "Focal shift in small-Fresnel-number focusing systems of different relative aperture," J. Opt. Soc. Am. A 20, 234-239 (2003). [CrossRef]
  5. W. H. Carter and M. F. Aburdene, "Focal shift in Laguerre-Gaussian beams," J. Opt. Soc. Am. A 4, 1949-1952 (1987). [CrossRef]
  6. P. L. Greene and D. G. Hall, "Focal shift in vector beams," Opt. Express 4, 411-419 (1999). [CrossRef] [PubMed]
  7. Y. Li, "Focal shifts in diffracted converging electromagnetic waves. I. Kirchhoff theory," J. Opt. Soc. Am. A 22, 68-76 (2005). [CrossRef]
  8. Y. Li, "Focal shifts in diffracted converging electromagnetic waves. II. Rayleigh theory," J. Opt. Soc. Am. A 22, 77-83 (2005). [CrossRef]
  9. C. Rulliere, Femtosecond Laser Pulses: Principles and Experiments (Springer, 1998).
  10. Zs. Bor and Z. L. Hováth, "Distortion of femtosecond pulses in lenses. Wave optical description," Opt. Commun. 94, 249-258 (1992). [CrossRef]
  11. Z. L. Hováth and Zs. Bor, "Focusing of femtosecond pulses having Gaussian spatial distribution," Opt. Commun. 100, 6-12 (1992). [CrossRef]
  12. A. Federico and O. Martinez, "Distortion of femtosecond pulses due to chromatic aberration in lenses," Opt. Commun. 91, 104-110 (1992). [CrossRef]
  13. M. Kempe, U. Stamm, B. Wilhelmi, and W. Rudolph, "Spatial and temporal transformation of femtosecond laser pulses by lenses and lens systems," J. Opt. Soc. Am. B 9, 1158-1165 (1992). [CrossRef]
  14. I. P. Christov, "Propagation of femtosecond light pulses," Opt. Commun. 53, 364-366 (1985). [CrossRef]
  15. C. J. R. Sheppard and X. Gan, "Free-space propagation of femtosecond light pulses," Opt. Commun. 133, 1-6 (1997). [CrossRef]
  16. R. Ashman and M. Gu, "Effect of ultrashort pulsed illumination on foci caused by a Fresnel zone plate," Appl. Opt. 42, 1852-1855 (2003). [CrossRef] [PubMed]
  17. M. Gu and X. Gan, "Fresnel diffraction by circular and serrated apertures illuminated with an ultrashort pulsed-laser beam," J. Opt. Soc. Am. A 13, 771-778 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited