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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 23 — Nov. 10, 2008
  • pp: 18770–18775

Optics InfoBase > Optics Express > Volume 16 > Issue 23 > Page 18770

Generation of Mathieu-Gauss modes with an axicon-based laser resonator

Martha B. Alvarez-Elizondo, Rodolfo Rodrlguez-Masegosa, and Julio C. Gutiérrez-Vega  »View Author Affiliations


Optics Express, Vol. 16, Issue 23, pp. 18770-18775 (2008)
http://dx.doi.org/10.1364/OE.16.018770


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Abstract

We report what is to our best knowledge the first observation of Mathieu–Gauss modes directly generated in an axicon-based stable resonator. By slightly breaking the symmetry of the cavity we were able to generate single lowest and high-order Mathieu–Gauss modes of high quality. The observed transverse modes have an inherent elliptic structure and exhibit remarkable agreement with theoretical predictions.

© 2008 Optical Society of America

OCIS Codes
(140.3410) Lasers and laser optics : Laser resonators
(140.4780) Lasers and laser optics : Optical resonators

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: September 30, 2008
Revised Manuscript: October 27, 2008
Manuscript Accepted: October 27, 2008
Published: October 29, 2008

Citation
Martha B. Alvarez-Elizondo, Rodolfo Rodrlguez-Masegosa, and Julio C. Gutiérrez-Vega, "Generation of Mathieu-Gauss modes with an axicon-based laser resonator," Opt. Express 16, 18770-18775 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-23-18770


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References

  1. J. Rogel-Salazar, G. H.C. New, and S. Chávez-Cerda, "Bessel-Gauss beam optical resonator," Opt. Commun. 190,117-122 (2001). [CrossRef]
  2. 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]
  3. 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]
  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," Proc. SPIE 5708, 323-331 (2005). [CrossRef]
  5. 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]
  6. J. C. Gutiérrez-Vega, M. D. Iturbe-Castillo, and S. Chávez-Cerda, "Alternative formulation for invariant optical fields: Mathieu beams," Opt. Lett. 25, 1493-1495 (2000). [CrossRef]
  7. Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Shaping soliton properties in Mathieu lattices," Opt. Lett. 31, 238-240 (2006). [CrossRef] [PubMed]
  8. C. López-Mariscal, J. C. Gutiérrez-Vega, G. Milne, and K. Dholakia, "Orbital angular momentum transfer in helical Mathieu beams," Opt. Express 14, 4182-4187 (2006). [CrossRef] [PubMed]
  9. C. A. Dartora and H. E. Hernández-Figueroa, "Properties of a localized Mathieu pulse," J. Opt. Soc. Am. A 21, 662-667 (2004). [CrossRef]
  10. J. C. Gutiérrez-Vega and M. A. Bandres, "Helmholtz-Gauss waves," J. Opt. Soc. Am. A 22, 289-298 (2005). [CrossRef]
  11. C. López-Mariscal, M. A. Bandrés, and J. C. Gutiérrez-Vega, "Observation of the experimental propagation properties of Helmholtz-Gauss beams," Opt. Eng. 45, 068001 (2006). [CrossRef]
  12. M. A. Bandres, J. C. Gutiérrez-Vega, and S. Chávez-Cerda, "Parabolic nondiffracting optical wave fields," Opt. Lett. 29, 44-46 (2004). [CrossRef] [PubMed]
  13. P. A. Bélanger and M. Rioux, "Ring pattern of a lens-axicon doublet illuminated by a Gaussian beam," Appl. Opt. 17, 1080-1086 (1978). [CrossRef] [PubMed]
  14. M. Rioux and P. A. Bélanger, "Linear, annular and radial focusing with axicons and application to laser machining," Appl. Opt. 17, 1532-1536 (1978). [CrossRef] [PubMed]
  15. J. C. Gutiérrez-Vega, R. Rodríguez-Masegosa, and S. Chávez-Cerda, "Focusing evolution of generalized propagation invariant optical fields," J. Opt. A 5, 276-282 (2003). [CrossRef]
  16. R. Akimoto, C. Saloma, T. Tanaka, and S. Kawata, "Imaging properties of axicon in a scanning optical system," Appl. Opt. 31, 6653-6657 (1992). [CrossRef]
  17. Z. Bin and Z. Zhu, "Diffraction property of an axicon in oblique illumination," Appl. Opt. 37, 1080-1086 (1978).
  18. A. Thanning, Z. Jaroszewicz, and A. T. Friberg, "Diffractive axicons in oblique illumination: analysis and experiments with comparison to elliptical axicons," Appl. Opt. 42, 9-17 (2003). [CrossRef]

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