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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 18 — Sep. 9, 2013
  • pp: 21076–21086

Selection and generation of multipass modes in an open resonator

V. G. Niziev  »View Author Affiliations

Optics Express, Vol. 21, Issue 18, pp. 21076-21086 (2013)

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The original numerical wave model of the open resonator has been employed in the investigation of conditions for multipass mode generation. It is shown that for Fresnel numbers larger than unity, multiple reflections of radiation from the stable resonator mirrors lead to sustained quasi-stationary oscillations which are indicative of multipass mode generation. Various types of ray trajectories have been considered at the paraxial resonance conditions. Trajectory selecting techniques are suggested to provide the high quality output beams at large Fresnel numbers. The results of numerical experiments on amplitude-phase distribution of output radiation are presented for the suggested schemes.

© 2013 OSA

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3410) Lasers and laser optics : Laser resonators

ToC Category:
Lasers and Laser Optics

Original Manuscript: June 27, 2013
Revised Manuscript: August 18, 2013
Manuscript Accepted: August 23, 2013
Published: September 3, 2013

V. G. Niziev, "Selection and generation of multipass modes in an open resonator," Opt. Express 21, 21076-21086 (2013)

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  1. A. G. Fox and T. Li, “Resonant modes in a maser interferometer,” Bell Syst. Tech. J.40(2), 453–488 (1961). [CrossRef]
  2. H. Kogelnik and T. Li, “Laser beams and resonators,” Appl. Opt.5(10), 1550–1567 (1966). [CrossRef] [PubMed]
  3. A. E. Siegman, Lasers (University Science, 1986).
  4. N. Hodgson and H. Weber, Optical Resonators: Fundamentals, Advanced Concepts and Applications (Springer Verlag, Berlin, 1997).
  5. Y.A. Ananiev, Resonateurs Optiques et Probleme de Divergence du Rayonnement Laser (Mir, 1982).
  6. L. A. Weinstein, Open resonators and open waveguides (Golem Press, Boulder, 1969).
  7. S. Solimeno, B. Crosignani, and P. DiPorto, Guiding, Diffraction and Confinement of Optical Radiation (Academic Press, 1986).
  8. I. A. Ramsay and J. J. Degnan, “A Ray Analysis of Optical Resonators Formed by Two Spherical Mirrors,” Appl. Opt.9(2), 385–398 (1970). [CrossRef] [PubMed]
  9. C.-H. Chen, P.-T. Tai, W.-F. Hsieh, and M.-D. Wei, “Multibeam-waist modes in an end-pumped Nd-YVO4 laser,” J. Opt. Soc. Am. B20(6), 1220–1226 (2003). [CrossRef]
  10. H. H. Wu and W. F. Hsieh, “Observations of multipass transverse modes in an axially pumped solid-state laser with different fractionally degenerate resonator configurations,” J. Opt. Soc. Am. B18(1), 7–12 (2001). [CrossRef]
  11. C. H. Chen and C. F. Chiu, “Generating a geometric mode for clarifying differences between an operator method and SU(2) wave representation,” Opt. Express15(20), 12692–12698 (2007). [CrossRef] [PubMed]
  12. C. H. Chen, P. Y. Huang, and C. W. Kuo, “Geometric modes outside the multi-bouncing fundamental Gaussian beam model,” J. Opt.12(1), 015708 (2010). [CrossRef]
  13. J. Dingjan, M. P. van Exter, and J. P. Woerdman, “Geometric modes in a single-frequency Nd:YVO4 laser,” Opt. Commun.188(5-6), 345–351 (2001). [CrossRef]
  14. B. Sterman, A. Gabay, S. Yatsiv, and E. Dagan, “Off-axis folded laser beam trajectories in a strip-line CO2 laser,” Opt. Lett.14(23), 1309–1311 (1989). [CrossRef] [PubMed]
  15. D. Dick and F. Hanson, “M modes in a diode side-pumped Nd:glass slab laser,” Opt. Lett.16(7), 476–477 (1991). [CrossRef] [PubMed]
  16. V. G. Niziev and R. V. Grishaev, “Dynamics of Mode Formation in an Open Resonator,” Appl. Opt.49(34), 6582–6590 (2010). [CrossRef] [PubMed]
  17. A. V. Nesterov and V. G. Niziev, “Vector solution of the diffraction task using the Hertz vector,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.71(4), 046608 (2005). [CrossRef] [PubMed]
  18. V. I. Voronov, “Spatial characteristics of multipass modes in lasers with ring cross-section of active medium,” J. Tech. Phys.65, 98–107 (1995).
  19. A. V. Nesterov and V. G. Niziev, “Laser beams with axially symmetric polarization,” J. Phys. D Appl. Phys.33(15), 1817–1822 (2000). [CrossRef]
  20. A. V. Nesterov, V. G. Niziev, and V. P. Yakunin, “Generation of high-power radially polarized beam,” J. Phys. D Appl. Phys.32(22), 2871–2875 (1999). [CrossRef]
  21. M. A. Ahmed, J. Schulz, A. Voss, O. Parriaux, J. C. Pommier, and T. Graf, “Radially polarized 3 kW beam from a CO2 laser with an intracavity resonant grating mirror,” Opt. Lett.32(13), 1824–1826 (2007). [CrossRef] [PubMed]
  22. V. G. Niziev and D. Toebaert, “Formation of transverse mode in axially symmetric lasers,” Appl. Opt.51(7), 954–962 (2012). [CrossRef] [PubMed]

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