OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 12 — Jun. 15, 2007
  • pp: 1692–1694

Method for accurate description of a radially polarized Gaussian laser beam beyond the paraxial approximation

Hong Luo, Shiyang Liu, Zhifang Lin, and C. T. Chan  »View Author Affiliations

Optics Letters, Vol. 32, Issue 12, pp. 1692-1694 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (123 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A simple method is presented which, when incorporated into a simple symbolic computation code, can be used to derive the analytic perturbative Lax series for electromagnetic fields of a focused radially polarized Gaussian laser beam, up to an arbitrary power of ϵ. Here ϵ is the associated Gaussian beam diffraction angle. The method is expected to be useful, when applied with a suitable nonlinear resummation scheme, in obtaining a precise field description for focusing the output beam from an axicon.

© 2007 Optical Society of America

OCIS Codes
(140.3430) Lasers and laser optics : Laser theory
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

Original Manuscript: March 6, 2007
Revised Manuscript: April 17, 2007
Manuscript Accepted: April 17, 2007
Published: June 5, 2007

Hong Luo, Shiyang Liu, Zhifang Lin, and C. T. Chan, "Method for accurate description of a radially polarized Gaussian laser beam beyond the paraxial approximation," Opt. Lett. 32, 1692-1694 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. Quabis, R. Dorn, M. Eberler, O. Glockl, and G. Leuchs, Appl. Phys. B 72, 109 (2001).
  2. R. Dorn, S. Quabit, and G. Leuchs, Phys. Rev. Lett. 91, 233901 (2003). [CrossRef] [PubMed]
  3. B. E. Blue, C. E. Clayton, C. L. O'Connell, F. J. Decker, M. J. Hogan, C. Huang, R. Iverson, C. Joshi, T. C. Katsouleas, W. Lu, K. A. Marsh, W. B. Mori, P. Muggli, R. Siemann, and D. Walz, Phys. Rev. Lett. 90, (2003). [CrossRef] [PubMed]
  4. P. X. Wang, Y. K. Ho, Q. Kong, N. Cao, A. M. Sessler, E. Esarey, and Y. Nishida, Appl. Phys. Lett. 78, 2253 (2001). [CrossRef]
  5. B. Quesnel and P. Mora, Phys. Rev. E 58, 3719 (1998). [CrossRef]
  6. F. V. Hartemann and A. K. Kerman, Phys. Rev. Lett. 76, 624 (1996). [CrossRef] [PubMed]
  7. K. T. McDonald (2000), puhep1.princeton.edu/~mcdonald/examples/axicon.pdf.
  8. M. Lax, W. H. Louisell, and W. B. McKnight, Phys. Rev. A 11, 1365 (1975). [CrossRef]
  9. L. W. Davis, Phys. Rev. A 19, 1177 (1979). [CrossRef]
  10. T. Takenaka, M. Yokota, and O. Fukumitsu, J. Opt. Soc. Am. A 2, 826 (1985). [CrossRef]
  11. J. P. Barton and D. R. Alexander, J. Appl. Phys. 6, 2800 (1989). [CrossRef]
  12. A. Wönsche, J. Opt. Soc. Am. A 9, 765 (1992). [CrossRef]
  13. R. Borghi, A. Ciattoni, and M. Santarsiero, J. Opt. Soc. Am. A 19, 1207 (2002). [CrossRef]
  14. R. Borghi and M. Santarsiero, Opt. Lett. 28, 774 (2003). [CrossRef] [PubMed]
  15. H. Luo and S. Y. Liu, Phys. Rev. E 75, 038501 (2007). [CrossRef]
  16. Y. I. Salamin, Opt. Lett. 31, 2619 (2006). [CrossRef] [PubMed]
  17. Y. I. Salamin, New J. Phys. 8, 133 (2006). [CrossRef]
  18. E. J. Weniger, Comput. Phys. Rep. 10, 189 (1989). [CrossRef]
  19. Y. Kozawa and S. Sato, Opt. Lett. 30, 3063 (2005). [CrossRef] [PubMed]
  20. Y. Kozawa and S. Sato, Opt. Lett. 31, 820 (2006). [CrossRef] [PubMed]
  21. J. Cizek, J. Zamastil, and L. Skala, J. Math. Phys. 44, 962 (2003). [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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited