有限元矩阵的激光谐振腔模式分析

陈凯; 朱东旭; 张平才

doi:10.7510/jgjs.issn.1001-3806.2014.03.014

有限元矩阵的激光谐振腔模式分析

1.
中国卫星海上测控部, 江阴 214431
中图分类号: O436

Mode analysis of laser resonator based on finite element matrix

1.
China Department of Satellite Marine Tracking and Control, Jiangyin 214431, China
CLC number: O436

摘要: 为了研究激光谐振腔的模式分布，采用基于有限元矩阵的分析方法，对圆形镜谐振腔进行了计算分析，并验证了该方法的可行性和有效性。在此基础上，对腔镜单元的合理划分进行了研究。通过拟合相对误差与单元格划分精细程度的关系求出合理单元格数，进行了实例计算和分析，结果符合较好。结果表明，该方法使激光谐振腔模式的分析更加精确和方便。
- 激光器 /
- 有限元矩阵 /
- 模式分布 /
- 合理单元格数 /
- 单元格精细程度
Abstract: In order to study the mode distribution in a laser resonator, a circular mirror resonator was analyzed based on finite element matrix and the feasibility and effectiveness of this method was verified. On the basis of the study, the rational division of the cavity mirror was studied. After fitting the relationship between the relative error and the fine extent of division elements, the reasonable number of elements was obtained. The results conformed with the actual calculation and analysis well. The results show that this method makes the mode analysis of a laser resonator more accurately and conveniently.
- lasers /
- finite element matrix /
- mode distribution /
- reasonable number of elements /
- fine extent of elements

[1]	BOYD G D, KOGELNIK H. Generalized confocal resonator theory[J]. Bell System Technical Journal, 1962, 41(4): 1347-1369.
[2]	GORDON J P, KOGELNIK H. Equivalence relations among spherical mirror optical resonators[J]. Bell System Technical Journal, 1964, 43(6): 2873-2886.
[3]	FLAMMER C. Spheroidal wave functions[M]. Stanford,USA:Stanford University Press, 1957:251-273.
[4]	HEURTLEY J C, STREIFER W. Optical resonator modes-circular reflectors of spherical curvature[J]. Journal of the Optical Society of America, 1965, 55(11): 1472-1479.
[5]	FOX A G, LI T. Resonant modes in a maser interferometer[J]. Bell System Technical Journal, 1961, 40(2): 453-488.
[6]	SIEGMAN A E, MILLER H Y. Unstable optical resonator loss calculations using the prony method[J]. Applied Optics, 1970, 9(12): 2729-2736.
[7]	QIN Y X, TANG X H, ZHONG R T, et al. Study on mode calculation of transmission matrix for laser resonator[J]. Chinese Journal of Lasers, 2008, 35(10): 1463-1468(in Chinese).
[8]	YONG F Q, WANG Y Q. Numerical matrix method for calculation of resonator mode[J]. Optics & Optoelectronic Technology, 2005, 3(5): 40-42.
[9]	SIEGMAN A E, SZIKLAS E A. Mode calculations in unstable resonators with flowing saturable gain.Ⅰ.Hermite-Gaussian expansion[J]. Applied Optics, 1974, 13(12): 2775-2791.
[10]	ZHUANG G L, DING T Q. A model for numerical analysis of cavity-modes and far-fields of circular-hole and ring-coupling laser resonators [J]. Laser Journal, 1987, 8(3): 188-192(in Chinese).
[11]	SZIKLAS E A, SIEGMAN A E. Mode calculations in unstable resonators with flowing saturable gain.Ⅱ.Fast Fourier transform method[J]. Applied Optics, 1975, 14(8): 1874-1889.
[12]	LIU Z Y, WU X Y, FAN D Y. Collins formula in frequency-domain and fractional Fourier transform[J]. Optics Communications, 1998, 155(1/3):7-11.
[13]	CHEN J B. Laser principle and application[M]. Beijing: Electronic Industry Press, 2004: 261-267(in Chinese).
[14]	CHENG Y Y, WANG Y Q, HU J. A novel eigenvector method for calculation of optical resonator modes and beam propagation [J]. Acta Physica Sinica, 2004, 53(8): 2576-2580(in Chin-ese).
[15]	GAO Zh H. Wave pattern property of self-reproductive mode in laser resonator [J]. Acta Photonica Sinica, 2000, 29(8): 726-729(in Chinese).
[16]	HELFERT S F, PREGLA R. A finite difference beam propagation algorithm based on generalized transmission line equations[J]. Optical and Quantum Electronics, 2000, 32(6/8): 681-690.
[17]	STOFFER R, HOEKSTRA H J W M. Efficient interface conditions based on a 5-point finite difference operator[J]. Optical and Quantum Electronics, 1998, 30(5/6): 375-383.
[18]	VASSALLO C. 1993-1995 optical mode solvers[J]. Optical and Quantum Electronics, 1997, 29(2): 95-114.
[19]	POLYCHRONOPOULOS S J, ATHANASOULIAS G B, UZUNOGLU N K. Advanced mode solver using an integral equation technique and entire domain plane wave basis functions[J]. Optical and Quantum Electronics, 1997, 29(2):127-137.
[20]	SELLERI S, VINCETTI L, CUCINOTTA A, et al. Complex FEM modal solver of optical waveguides with PML boundary conditions[J]. Optical and Quantum Electronics, 2001, 33(4): 359-371.

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有限元矩阵的激光谐振腔模式分析

Mode analysis of laser resonator based on finite element matrix

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有限元矩阵的激光谐振腔模式分析

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Mode analysis of laser resonator based on finite element matrix

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有限元矩阵的激光谐振腔模式分析

Mode analysis of laser resonator based on finite element matrix

计量

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有限元矩阵的激光谐振腔模式分析

English Abstract

Mode analysis of laser resonator based on finite element matrix

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目录