Precision control of the transfer matrix method for transverse-mode fields of laser resonators

Dongxiong Ling; Hongcheng Wang; Shaoqiang Zhang

doi:10.1117/12.840232

17 February 2010 Precision control of the transfer matrix method for transverse-mode fields of laser resonators

Dongxiong Ling, Hongcheng Wang, Shaoqiang Zhang

Proceedings Volume 7579, Laser Resonators and Beam Control XII; 75790A (2010) https://doi.org/10.1117/12.840232
Event: SPIE LASE, 2010, San Francisco, California, United States

Abstract

Because the Fox-Li diffraction integral iteration method is not suitable to calculate transverse-mode fields of a resonator with big Fresnel number, the tansfer matrix method is used for analysis of the eigen modes of an optical resonator. The process of this method is as follows: from the Collins Formula, the diffraction integral equation of a resonator is obtained and transformed to the finite-sum matrix equation. Finally, the transverse-mode distribution and loss of the resonator can be calculated by use of the eigen function and eigen value of the matrix. In this paper, the transfer matrix method is discussed, and the precision of the method is control. It is shown from the simulated results of a general confocal resonator that numberical results by use of the transfer matrix method are accord with that of the intergral iterative method, and the convergence problem of the intergral iterative method can be overcome and the analysis of laser resonators can be met by the transfer matrix mothod, as long as the calculation precision is reasonably controlled.

Citation Download Citation

Dongxiong Ling, Hongcheng Wang, and Shaoqiang Zhang "Precision control of the transfer matrix method for transverse-mode fields of laser resonators", Proc. SPIE 7579, Laser Resonators and Beam Control XII, 75790A (17 February 2010); https://doi.org/10.1117/12.840232

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