OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 25 — Sep. 1, 2012
  • pp: 6089–6094

Small-scale self-focusing in a tapered optical beam

Huaiting Jia, Bing Xu, Fang Wang, and Lidan Zhou  »View Author Affiliations

Applied Optics, Vol. 51, Issue 25, pp. 6089-6094 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (501 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The analysis of Bespalov and Talanov concerning small scale self-focusing or filamentation effects for plane waves is generalized to a tapered beam case in this paper. A model of nonlinear phase and amplitude perturbations different from Siegman’s is suggested. The previous conclusion that self-focusing is very ineffectual for strongly tapered, both divergent and convergent, beams in optical Kerr media as compared to small-scale self-focusing in plane waves is found to be inappropriate. Moreover, the different conditions of phase matching in cases of cylindrical and spherical waves are explicated, which could throw some light on the issue.

© 2012 Optical Society of America

OCIS Codes
(140.3330) Lasers and laser optics : Laser damage
(260.5950) Physical optics : Self-focusing

ToC Category:
Physical Optics

Original Manuscript: July 11, 2012
Manuscript Accepted: August 2, 2012
Published: August 27, 2012

Huaiting Jia, Bing Xu, Fang Wang, and Lidan Zhou, "Small-scale self-focusing in a tapered optical beam," Appl. Opt. 51, 6089-6094 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. V. I. Bespalov and V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett. 3, 307 (1966).
  2. R. Y. Chiao and P. L. Kelly, “Stimulated four-photon interaction and its influence on stimulated Rayleigh-wing scattering,” Phys. Rev. Lett. 17, 1158–1161 (1966). [CrossRef]
  3. R. J. Lang, A. Hardy, R. Parke, D. Mehuys, S. O’Brien, J. Major, and D. Welch, “Numerical analysis of flared semiconductor laser amplifiers,” IEEE J. Quantum Electron. 29, 2044–2051 (1993). [CrossRef]
  4. S. Ramanujan and H. G. Winful, “Spontaneous emission induced filamentation in flared amplifiers,” IEEE J. Quantum Electron. 32, 784–789 (1996). [CrossRef]
  5. G. Levy, and A. A. Hardy, “Chaotic effects in flared lasers: a numerical analysis,” IEEE J. Quantum Electron. 33, 26–32 (1997). [CrossRef]
  6. A. E. Siegman, “Small-scale self-focusing effects in tapered optical beams,” www.stanford.edu/~siegman/self_focusing_memo.pdf (2002), pp. 1–13.
  7. R. W. Boyd, S. G. LuKishova, and Y. R. Shen, eds., Self-focusing: Past and Present (Springer, 2009), pp. 168, 215–216.
  8. A. E. Siegman, Lasers, 1st ed. (University Science, 1986), p. 630.
  9. R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2003), p. 340.

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited