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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 Pawel Szczepański  »View Author Affiliations


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


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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

Citation
Agnieszka Mossakowska-Wyszyńska, Piotr Witoński, and Pawel 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


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

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