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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 13 — May. 1, 2007
  • pp: 2492–2497

Simplified transformation circle theory in analyzing a laser resonator

Feng Song, Xin Zhang, Yanxiong Wu, Shujing Liu, Feng Zhou, Bin Qin, Jianguo Tian, Jingjun Xu, and Guangyin Zhang  »View Author Affiliations

Applied Optics, Vol. 46, Issue 13, pp. 2492-2497 (2007)

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Transformation circle theory is simpler than other methods for analyzing laser resonators. In our analysis only σ circles and simple mathematical knowledge are used to analyze the stability and calculate the parameters of the laser resonator, which further simplifies the transformation theory. The results agree well with the well-known matrix theory. Two- and three-mirror (including a thermal lens) laser resonators are used as examples to present the stability formula and the Gaussian beam dimensions at the mirrors. Furthermore, we apply the commonly used example in which the laser medium is close to the cavity mirror.

© 2007 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(140.3410) Lasers and laser optics : Laser resonators
(140.4780) Lasers and laser optics : Optical resonators

ToC Category:
Lasers and Laser Optics

Original Manuscript: August 10, 2006
Revised Manuscript: November 30, 2006
Manuscript Accepted: December 7, 2006
Published: April 9, 2007

Feng Song, Xin Zhang, Yanxiong Wu, Shujing Liu, Feng Zhou, Bin Qin, Jianguo Tian, Jingjun Xu, and Guangyin Zhang, "Simplified transformation circle theory in analyzing a laser resonator," Appl. Opt. 46, 2492-2497 (2007)

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