title: Simplified transformation circle theory in analyzing a laser resonator.
abstract: Transformation circle theory is simpler than other methods for analyzing laser resonators. In our analysis only sigma 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.
authors: Photonics Center, College of Physics Science, Nankai University, Tianjin 300071, China. fsong@nankai.edu.cn
authors: Feng
authors: F
authors: Song
authors: Xin
authors: X
authors: Zhang
authors: Yanxiong
authors: Y
authors: Wu
authors: Shujing
authors: S
authors: Liu
authors: Feng
authors: F
authors: Zhou
authors: Bin
authors: B
authors: Qin
authors: Jianguo
authors: J
authors: Tian
authors: Jingjun
authors: J
authors: Xu
authors: Guangyin
authors: G
authors: Zhang