OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 4 — Apr. 1, 2007
  • pp: 1209–1210

Analysis of eigenfields in the axicon-based Bessel–Gauss resonator by the transfer-matrix method: comment

Raul I. Hernandez-Aranda and Julio C. Gutiérrez-Vega  »View Author Affiliations

JOSA A, Vol. 24, Issue 4, pp. 1209-1210 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (49 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Numerical calculations recently published [ J. Opt. Soc. Am. A 23, 912 (2006) ] on the eigenmodes in axicon-based Bessel–Gauss resonators revealed significant inconsistencies regarding the modal patterns, the mode losses, the mode ordering by loss, and the intracavity field distributions. We show that the results are inaccurate mainly because (a) it was overlooked in the derivation of the matrix equations that light crosses twice through the axicon in a complete round-trip and (b) the numerical method used to evaluate the diffraction integral equations cannot resolve the eigenvalues and eigenfields for the given resonator configuration.

© 2007 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(140.3410) Lasers and laser optics : Laser resonators
(140.4130) Lasers and laser optics : Molecular gas lasers

ToC Category:

Original Manuscript: June 23, 2006
Revised Manuscript: September 28, 2006
Manuscript Accepted: October 4, 2006
Published: March 14, 2007

Raul I. Hernandez-Aranda and Julio C. Gutiérrez-Vega, "Analysis of eigenfields in the axicon-based Bessel-Gauss resonator by the transfer-matrix method: comment," J. Opt. Soc. Am. A 24, 1209-1210 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Ling, J. Li, and J. Chen, "Analysis of eigenfields in the axicon-based Bessel-Gauss resonator by the transfer-matrix method," J. Opt. Soc. Am. A 23, 912-918 (2006). [CrossRef]
  2. J. C. Gutiérrez-Vega, R. Rodríguez-Masegosa, and S. Chávez-Cerda, "Bessel-Gauss resonator with spherical output mirror: geometrical and wave-optics analysis," J. Opt. Soc. Am. A 20, 2113-2122 (2003). [CrossRef]
  3. R. I. Hernández-Aranda, S. Chávez-Cerda, and J. C. Gutiérrez-Vega, "Theory of the unstable Bessel resonator," J. Opt. Soc. Am. A 22, 1909-1917 (2005). [CrossRef]
  4. M. Alvarez, M. Guizar-Sicairos, R. Rodríguez-Masegosa, and J. C. Gutiérrez-Vega, "Construction and characterization of CO2 laser with an axicon based Bessel-Gauss resonator," in Laser Resonators and Beam Control VIII, A.V.Kudrayashov and A.H.Paxton, eds., Proc. SPIE 5708, 323-331 (2005).
  5. J. Rogel-Salazar, G. H. C. New, and S. Chávez-Cerda, "Bessel-Gauss beam optical resonator," Opt. Commun. 190, 117-122 (2001). [CrossRef]
  6. A. N. Khilo, E. G. Katranji, and A. A. Ryzhevich, "Axicon-based Bessel resonator: analytical description and experiment," J. Opt. Soc. Am. A 18, 1986-1992 (2001). [CrossRef]
  7. P. Muys and E. Vandamme, "Direct generation of Bessel beams," Appl. Opt. 41, 6375-6379 (2002). [CrossRef] [PubMed]
  8. C. L. Tsangaris, G. H. C. New, and J. Rogel-Salazar, "Unstable Bessel beam resonator," Opt. Commun. 223, 233-238 (2003). [CrossRef]
  9. A. G. Fox and T. Li, "Resonant modes in a maser interferometer," Bell Syst. Tech. J. 40, 453-488 (1961).
  10. M. Guizar-Sicairos and J. C. Gutiérrez-Vega, "Computation of quasi-discrete Hankel transforms of integer order for propagating optical wave fields," J. Opt. Soc. Am. A 21, 53-58 (2004). [CrossRef]
  11. A. Hakola, S. C. Buchter, T. Kajava, H. Elfstrom, J. Simonen, P. Paakkonen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004). [CrossRef]
  12. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing (Cambridge U. Press, 1992).
  13. R. L. Sanderson and W. Streifer, "Comparison of laser mode calculations," Appl. Opt. 8, 131-136 (1969). [CrossRef] [PubMed]
  14. W. D. Murphy and M. L. Bernabe, "Numerical procedures for solving nonsymmetric eigenvalue problems associated with optical resonators," Appl. Opt. 17, 2358-2365 (1978). [CrossRef] [PubMed]
  15. W. P. Latham Jr. and G. C. Dente, "Matrix methods for bare resonator eigenvalue analysis," Appl. Opt. 19, 1618-1621 (1980). [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