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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 12 — Jun. 16, 2014
  • pp: 14782–14791

Simple method of optical ring cavity design and its applications

Wen Qiao, Zhang Xiaojun, Liang Zongsen, Wang Yonggang, Sun Liqun, and Niu Hanben  »View Author Affiliations

Optics Express, Vol. 22, Issue 12, pp. 14782-14791 (2014)

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When an optical ring cavity is designed, the beam radii at some special positions, especially at the beam waists are very interested in, since the gain mediums, nonlinear crystals and others important optical elements are generally located at the beam waist. In this paper, we firstly presented a simple method for designing optical ring cavities based on the self-consistency theory and the fact that q parameter is uniquely determined by the waist beam radius and its position. This approach is different from ABCD method and it no longer requires cumbersome calculation. The calculations of designing optical ring cavities are simplified because q parameter only has imaginary part at beam waist plane. Moreover, designing the resonant cavity through the calculation of beam waist radii and their position has great practical significance, because it is very easy to adjust the waist radii and the positions at the important optical elements. We employed this method to design an end-pumped six-mirror ring cavity continuous-wave passively mode locked laser. The experiment of a highly stabilized continuous-wave mode locked (CWML) laser was investigated and the results coincided with the theoretical studies very well. The investigation results show that the simple method can be used to design optical ring cavities conveniently, intuitively and efficiently.

© 2014 Optical Society of America

OCIS Codes
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(070.2590) Fourier optics and signal processing : ABCD transforms
(140.3410) Lasers and laser optics : Laser resonators
(140.3560) Lasers and laser optics : Lasers, ring
(140.3580) Lasers and laser optics : Lasers, solid-state
(140.4780) Lasers and laser optics : Optical resonators

ToC Category:
Integrated Optics

Original Manuscript: April 21, 2014
Revised Manuscript: June 2, 2014
Manuscript Accepted: June 2, 2014
Published: June 9, 2014

Wen Qiao, Zhang Xiaojun, Liang Zongsen, Wang Yonggang, Sun Liqun, and Niu Hanben, "Simple method of optical ring cavity design and its applications," Opt. Express 22, 14782-14791 (2014)

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  1. M. V. Okhapkin, M. N. Skvortsov, A. M. Belkin, N. L. Kvashnin, and S. N. Bagayev, “Tunable single-frequency diode-pumped Nd:YAG ring laser at 1064/532 nm for optical frequency standard applications,” Opt. Commun. 203(3-6), 359–362 (2002). [CrossRef]
  2. R. L. Fork, B. I. Greene, and C. V. Shank, “Generation of optical pulses shorter than 0.1 psec by colliding pulse mode locking,” Appl. Phys. Lett. 38(9), 671–672 (1981). [CrossRef]
  3. H. Zhao, P. Wang, Z. Y. Wei, J. R. Tian, D. H. Li, Z. H. Wang, and J. Zhang, “Highly efficient and stable ring regenerative amplifier for chirped-pulse amplification at repetition rate 1 kHz,” Chin. Phys. Lett. 24(1), 115–118 (2007). [CrossRef]
  4. S. Diddams, B. Atherton, and J. C. Diels, “Frequency locking and unlocking in a femtosecond ring laser with application to intracavity phase measurements,” Appl. Phys. B 63(5), 473–480 (1996). [CrossRef]
  5. S. Schwartz, G. Feugnet, and J. P. Pocholle, “Biasing the beat regime of a solid-state ring laser: from a magnetometer to a multioscillator rotation sensor,” J. Opt. Soc. Am. B 30(8), 2157–2160 (2013). [CrossRef]
  6. W. W. Chow, J. Gea-Banacloche, L. M. Pedrotti, V. Sanders, W. Schleich, and M. Scully, “The ring laser gyro,” Rev. Mod. Phys. 57(1), 61–104 (1985). [CrossRef]
  7. W. W. Rigrod, “The optical ring resonator,” Bell Syst. Tech. J. 44(5), 907–916 (1965). [CrossRef]
  8. K. K. Li, “Stability and astigmatic analysis of a six-mirror ring cavity for mode-locked dye lasers,” Appl. Opt. 21(5), 967–970 (1982). [CrossRef] [PubMed]
  9. D. M. Kane and M. H. Dunn, “Stability calculations for a commercial ring dye-laser resonator with 2 foci,” Opt. Commun. 48(5), 295–300 (1984). [CrossRef]
  10. T. Skettrup, T. Meelby, K. Faerch, S. L. Frederiksen, and C. Pedersen, “Triangular laser resonators with astigmatic compensation,” Appl. Opt. 39(24), 4306–4312 (2000). [CrossRef] [PubMed]
  11. J. Kojima and Q. V. Nguyen, “Laser pulse-stretching with multiple optical ring cavities,” Appl. Opt. 41(30), 6360–6370 (2002). [CrossRef] [PubMed]
  12. J. Garduño-Mejía, M. Mohebi, and N. Jamasbi, “The role of cavity design in a bi-directional Kerr lens mode locked ring Ti:Sapphire laser,” Opt. Commun. 207(1–6), 307–314 (2002). [CrossRef]
  13. T. Skettrup, “Rectangular laser resonators with astigmatic compensation,” J. Opt. A, Pure Appl. Opt. 7(11), 645–654 (2005). [CrossRef]
  14. J. Yuan, M. X. Chen, X. W. Long, Y. Y. Tan, Z. L. Kang, and Y. Y. Li, “Beam position controlling method for 3D optical system and its application in non-planar ring resonators,” Opt. Express 20(17), 19563–19579 (2012). [CrossRef] [PubMed]
  15. P. Laures, “Geometrical approach to Gaussian beam propagation,” Appl. Opt. 6(4), 747–755 (1967). [CrossRef] [PubMed]
  16. G. Zhang and S. Guo, Graphic analysis and design method of optical resonator, National Defense Industry Press, Beijing, (2003). (in Chinese)
  17. Q. Wen, L. Q. Sun, Y. Y. Wang, E. Y. Zhang, and Q. Tian, “An effective method for designing insensitive resonator of continuous-wave passively mode-locked laser,” Opt. Express 17(11), 8956–8961 (2009). [CrossRef] [PubMed]

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