OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 8 — Aug. 1, 2001
  • pp: 1986–1992

Axicon-based Bessel resonator: analytical description and experiment

Anatol N. Khilo, Eugeny G. Katranji, and Anatol A. Ryzhevich  »View Author Affiliations

JOSA A, Vol. 18, Issue 8, pp. 1986-1992 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (310 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We present a new scheme for an optical resonator for production of Bessel and Bessel–Gauss light beams. The resonator with Bessel modes is composed of two plane mirrors with an axicon placed close to one of them. If this mirror is concave, the modes are Bessel–Gauss light beams. Analytical expressions relating parameters of the resonator and characteristics of its modes are obtained and analyzed. The results are verified with the Fox–Li algorithm. The resonator scheme was implemented in an experiment to confirm the possibility of the generation of zero-order Bessel beams. It was found that multipass modes can also oscillate in the resonator if its apertures are large enough.

© 2001 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(140.3410) Lasers and laser optics : Laser resonators

Original Manuscript: October 10, 2000
Revised Manuscript: February 1, 2001
Manuscript Accepted: February 1, 2001
Published: August 1, 2001

Anatol N. Khilo, Eugeny G. Katranji, and Anatol A. Ryzhevich, "Axicon-based Bessel resonator: analytical description and experiment," J. Opt. Soc. Am. A 18, 1986-1992 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Durnin, “Exact solutions for nondiffracting beams,” J. Opt. Soc. Am. A 4, 651–654 (1987). [CrossRef]
  2. J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987). [CrossRef] [PubMed]
  3. Z. Bouchal, J. Wagner, M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun. 151, 207–211 (1998). [CrossRef]
  4. T. Wulle, S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 58, 1401–1404 (1987).
  5. J. Arlt, K. Dholakia, L. Allen, M. J. Padgett, “Efficiency of second-harmonic generation with Bessel beams,” Phys. Rev. A 60, 2438–2441 (1999). [CrossRef]
  6. C. F. R. Caron, R. M. Potvliege, “Optimum conical angle of a Bessel–Gauss beam for low-order harmonic generation in gases,” J. Opt. Soc. Am. B 16, 1377–1384 (1999). [CrossRef]
  7. R. Gadonas, A. Marcinkevicius, A. Piskarskas, V. Smilgevicius, A. Stabinis, “Travelling wave optical parametric generator pumped by a conical beam,” Opt. Commun. 146, 253–256 (1997). [CrossRef]
  8. V. N. Belyi, N. S. Kazak, N. V. Kondratyuk, N. A. Khilo, A. A. Shagov, “Generation of the second harmonics of Bessel light beams in a KTP crystal,” Quantum Electron. 28, 1011–1016 (1998). [CrossRef]
  9. M. Florjanczyk, R. Tremblay, “Guiding of atoms in a travelling-wave laser trap formed by the axicon,” Opt. Commun. 73, 448–450 (1989). [CrossRef]
  10. I. Manek, Yu. B. Ovchinnikov, R. Grimm, “Generation of a hollow laser beam for atom trapping using an axicon,” Opt. Commun. 147, 67–70 (1998). [CrossRef]
  11. F. Gori, G. Guattari, C. Padovani, “Bessel–Gauss beams,” Opt. Commun. 64, 491–495 (1987). [CrossRef]
  12. J. Arlt, K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177, 297–301 (2000). [CrossRef]
  13. C. Paterson, R. Smith, “Higher-order Bessel waves produced by axicon-type computer-generated holograms,” Opt. Commun. 124, 121–130 (1996). [CrossRef]
  14. J. Durnin, J. H. Eberly, “Diffraction free arrangement,” U.S. Patent4887885, December19, 1989.
  15. K. Uehara, H. Kikuchi, “Generation of nearly diffraction-free laser beams,” Appl. Phys. B 48, 125–129 (1989). [CrossRef]
  16. J. K. Jabczyňski, “A ‘diffraction-free’ resonator,” Opt. Commun. 77, 292–294 (1990). [CrossRef]
  17. P. Pääkkönen, J. Turunen, “Resonators with Bessel–Gauss modes,” Opt. Commun. 156, 359–366 (1998). [CrossRef]
  18. A. Khilo, E. Katranji, A. Ryzhevich, “Resonators with Bessel and Bessel–Gauss modes,” presented at the Conference on Laser Optics, St. Petersburg, Russia, June 26–30, 2000, paper TuA3.
  19. J. R. Leger, D. Chen, Zh. Wang, “Diffractive optical element for mode shaping of a Nd:YAG laser,” Opt. Lett. 19, 108–110 (1994). [CrossRef] [PubMed]
  20. I. A. Ramsay, J. J. Degnan, “A ray analysis of optical resonators formed by two spherical mirrors,” Appl. Opt. 9, 385–398 (1970). [CrossRef] [PubMed]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited