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
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)