Simulation and Analysis of Transverse Modes by the Transfer Matrix Method in a Circular Confocal Resonator

LING Dong-xiong; CHEN Qiong; LI Hong-tao; WANG Hong-cheng; ZHANG Shao-qiang

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Simulation and Analysis of Transverse Modes by the Transfer Matrix Method in a Circular Confocal Resonator

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- Simulation and Analysis of Transverse Modes by the Transfer Matrix Method in a Circular Confocal Resonator
- Chinese Journal of Luminescence Vol. 30, Issue 5, Pages: 687-691(2009)
- 作者机构：
  
  东莞理工学院电子工程系,广东东莞,523808
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN242
- Received：08 December 2008，
  
  Revised：02 January 1900，
  
  Published Online：30 October 2009，
  
  Published：30 October 2009
- 稿件说明：
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LING Dong-xiong, CHEN Qiong, LI Hong-tao, et al. Simulation and Analysis of Transverse Modes by the Transfer Matrix Method in a Circular Confocal Resonator[J]. Chinese journal of luminescence, 2009, 30(5): 687-691.
DOI：

LING Dong-xiong, CHEN Qiong, LI Hong-tao, et al. Simulation and Analysis of Transverse Modes by the Transfer Matrix Method in a Circular Confocal Resonator[J]. Chinese journal of luminescence, 2009, 30(5): 687-691. DOI：

摘要

共焦腔是一般稳定腔的特例

由于等价性

共焦腔中自再现模的振幅分布、损耗和光斑尺寸常常被用于讨论一般稳定腔。为了分析具有大菲涅尔数的圆镜共焦腔

本文利用传输矩阵方法对腔模进行计算和讨论。研究结果表明:传输矩阵方法的结果与Fox-Li积分迭代法的结果一致

并且传输矩阵方法实用于大菲涅尔数共焦腔。

Abstract

A confocal resonator is a special instance of general stable resonators. Amplitude distributions

losses and beam radii of self-reproducing modes in a confocal resonator are used to analyze general stable resonators due to their equivalence. In order to analyze a circular confocal resonator with a big Fresnel number

in this paper

we introduce a transfer matrix method to calculate and analyze the modes in a confocal resonator. It was found that the results from the transfer matrix method are in good agreement with those resulted from the integral iterative method proposed by Fox and Li and the transfer matrix method is suitable to the confocal resonator with a big Fresnel number.

关键词

Keywords

references

. Fox A G, Li Tingye. Resonator modes in a maser interferometer [J]. Bell. Sys. Tech. J., 1961, 40 :453-488.

. Fox A G, Li Tingye. Modes in a maser interferometer with curved and tilted mirrors [J]. Proc. IEEE, 1963, 51 :80-89.

. Boyd G D, Gordon J P. Confocal multimode resonator for millimeter through optical wavelength masers [J]. Bell. Sys. Tech. J., 1961, 40 :489-508.

. Wei Zaifu, Wang Runwen, Wang Zhijiang. Numerical analysis of mode-fields of unstable ring resonators 90° beam rotation [J]. Acta Optica Sinica (光学学报), 1995, 15 (11):698-702 (in Chinese).

. Collins S A, Jr. Lens-system diffraction integral written in terms of matrix optics [J]. J. Opt. Soc. Am., 1970, A 60 (9):1168-1177.

. Lu Baida. Propagation and Control of High-power Lasers [M]. Beijing: National Defence Industry Press, 1999, 77-169.

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