OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 9 — Mar. 20, 2002
  • pp: 1668–1676

Relaxation oscillations in a laser with a Gaussian mirror

Agnieszka Mossakowska-Wyszyńska, Piotr Witoński, and Paweł Szczepański  »View Author Affiliations


Applied Optics, Vol. 41, Issue 9, pp. 1668-1676 (2002)
http://dx.doi.org/10.1364/AO.41.001668


View Full Text Article

Enhanced HTML    Acrobat PDF (269 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present an analysis of the relaxation oscillations in a laser with a Gaussian mirror by taking into account the three-dimensional spatial field distribution of the laser modes and the spatial hole burning effect. In particular, we discuss the influence of the Gaussian mirror peak reflectivity and a Gaussian parameter on the damping rate and frequency of the relaxation oscillation for two different laser structures, i.e., with a classically unstable resonator and a classically stable resonator.

© 2002 Optical Society of America

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3410) Lasers and laser optics : Laser resonators
(140.3430) Lasers and laser optics : Laser theory
(140.3460) Lasers and laser optics : Lasers

History
Original Manuscript: May 25, 2001
Revised Manuscript: October 29, 2001
Published: March 20, 2002

Citation
Agnieszka Mossakowska-Wyszyńska, Piotr Witoński, and Paweł Szczepański, "Relaxation oscillations in a laser with a Gaussian mirror," Appl. Opt. 41, 1668-1676 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-9-1668


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. Vakimov, “Open resonators with mirrors having variable reflection coefficients,” Radio Eng. Electron Phys. 10, 1439–1446 (1965).
  2. H. Zucker, “Optical resonators with variable reflectivity mirrors,” Bell Syst. Tech. J. 49, 2349–2376 (1970). [CrossRef]
  3. Y. A. Anan’ev, V. E. Sherstobitov, “Influence of the edge effects of the properties of unstable resonators,” Sov. J. Quantum Electron. 1, 263–267 (1971). [CrossRef]
  4. A. Yariv, P. Yeh, “Confinement and stability in optical resonators employing mirrors with Gaussian reflectivity tapers,” Opt. Commun. 13, 370–374 (1975). [CrossRef]
  5. L. W. Casperson, S. D. Lunnam, “Gaussian modes in high loss laser resonators,” Appl. Opt. 14, 1193–1199 (1975). [CrossRef] [PubMed]
  6. U. Ganiel, Y. Silberberg, “Stability of optical laser resonators with mirrors of Gaussian reflectivity profiles which contain an active medium,” Opt. Commun. 14, 290–293 (1975). [CrossRef]
  7. U. Ganiel, A. Hardy, “Eigenmodes of optical resonators with mirrors having Gaussian reflectivity profiles,” Appl. Opt. 9, 2145–2149 (1976). [CrossRef]
  8. N. McCarthy, P. Lavigne, “Optical resonators with Gaussian reflectivity mirrors: misalignment sensitivity,” Appl. Opt. 22, 2704–2708 (1983). [CrossRef] [PubMed]
  9. N. McCarthy, P. Lavigne, “Optical resonators with Gaussian reflectivity mirrors: output beam characteristics,” Appl. Opt. 23, 3845–3850 (1984). [CrossRef] [PubMed]
  10. D. M. Walsh, L. V. Knight, “Transverse modes of a laser resonator with Gaussian mirrors,” Appl. Opt. 25, 2947–2954 (1986). [CrossRef] [PubMed]
  11. A. Parent, N. McCarthy, P. Lavigne, “Effects of hard apertures on mode properties of resonators with Gaussian reflectivity mirrors,” IEEE J. Quantum Electron. QE-23, 222–228 (1987). [CrossRef]
  12. J. P. Taché, “Derivation of ABCD law for Laguerre-Gaussian beams,” Appl. Opt. 26, 2698–2700 (1987). [CrossRef] [PubMed]
  13. P. Lavigne, N. McCarthy, A. P. Parent, K. J. Snell, “Laser mode control with variable reflectivity mirrors,” Can. J. Phys. 66, 888–894 (1988). [CrossRef]
  14. P. Lavigne, N. McCarthy, J. G. Demers, “Design and characterization of complementary Gaussian reflectivity mirrors,” Appl. Opt. 24, 2581–2586 (1985). [CrossRef] [PubMed]
  15. E. Armandillo, G. Giuliani, “Achievement of large-sized TEM00 mode from an excimer laser by means of a novel apoditic filter,” Opt. Lett. 10, 445–447 (1985). [CrossRef] [PubMed]
  16. N. McCarthy, P. Lavigne, “Large-size Gaussian mode in unstable resonators using Gaussian mirrors,” Opt. Lett. 10, 553–555 (1985). [CrossRef] [PubMed]
  17. D. J. Harter, J. C. Walling, “Low magnification unstable resonators used with ruby and alexandrite lasers,” Opt. Lett. 11, 706–708 (1986). [CrossRef] [PubMed]
  18. S. De Silvestri, P. Laporta, V. Magni, “Laser output coupler based on a radially variable interferometer,” J. Opt. Soc. Am. A 4, 1413–1418 (1987). [CrossRef]
  19. S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Radially variable reflectivity output coupler of novel design for unstable resonators,” Opt. Lett. 12, 84–86 (1987). [CrossRef] [PubMed]
  20. K. J. Snell, N. McCarthy, M. Piché, “Single mode oscillation from an unstable resonator Nd:YAG laser using a variable reflectivity mirror,” Opt. Commun. 65, 377–382 (1988). [CrossRef]
  21. S. De Silvestri, P. Laporta, V. Magni, O. Svelto, B. Majocchi, “Unstable laser resonators with super-Gaussian mirrors,” Opt. Lett. 13, 201–203 (1988). [CrossRef] [PubMed]
  22. A. Piegari, G. Emiliani, “Laser mirrors with variable reflected intensity and uniform phase shift: design process,” Appl. Opt. 32, 5454–5461 (1993). [CrossRef] [PubMed]
  23. D. V. Willetts, M. R. Harris, “Output characteristics of a compact 1 J carbon dioxide laser with Gaussian reflectivity resonator,” IEEE J. Quantum Electron. QE-24, 849–855 (1988). [CrossRef]
  24. S. De Silvestri, V. Magni, O. Svelto, G. Valentini, “Lasers with super-Gaussian mirrors,” IEEE J. Quantum Electron. 26, 1500–1509 (1990). [CrossRef]
  25. P. Witoński, P. Szczepański, “Output power optimization of a slab-waveguide laser with Gaussian output mirror,” Appl. Phys. B 71, 831–839 (1995). [CrossRef]
  26. S. R. Chinn, “Relaxation oscillations in distributed feedback lasers,” Opt. Commun. 19, 208–211 (1976). [CrossRef]
  27. P. Szczepański, “Relaxation oscillations in distributed feedback gas lasers,” IEEE J. Quantum Electron. 27, 886–890 (1991). [CrossRef]
  28. P. Szczepański, A. Mossakowska, D. Dejnarowicz, “Relaxation oscillations in waveguide distributed feedback lasers,” J. Lightwave Technol. 2, 220–226 (1992). [CrossRef]
  29. W. Koechner, Solid-State Laser Engineering, 2nd ed. (Springer-Verlag, New York, 1988), Chap. 2.3, pp. 48–53.
  30. P. Witoński, P. Szczepański, A. Kujawski, “Model of the nonlinear operation of a laser with a Gaussian mirror,” J. Mod. Opt. 45, 1957–1974 (1998). [CrossRef]
  31. A. Kujawski, P. Szczepański, “Model of gain saturation in a two-mirror laser: single mode operation,” J. Mod. Opt. 39, 2519–2529 (1992). [CrossRef]
  32. P. Szczepański, P. Witoński, “Optimization of output power in hollow-waveguide lasers,” Appl. Opt. 34, 6099–6107 (1995). [CrossRef] [PubMed]
  33. A. Tyszka-Zawadzka, P. Szczepański, “Influence of mode nonorthogonality on the correlation function of the amplitude and of the intensity fluctuation of a distributed-feedback laser,” J. Opt. Soc. Am. B 13, 300–305 (1996). [CrossRef]
  34. See, for example, M. Sargent, M. O. Scully, W. E. Lamb, Laser Physics (Addison-Wesley, Reading, Mass., 1974), Chaps. 8 and 9, pp. 96–143.

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