[1] [1] A. E. Siegman. New developments in laser resonators ［C］. SPIE, 1990, 1224: 2～14

[2] [2] C. Y. Liu, H. Guo, W. Hu et al.. A Schrdinger formulation research for light beam propagation［J］. Science in China (Series A), 2000, 43(3): 312～322

[3] [3] Cao Qing, Deng Ximing, Guo Hong. Optical beam quality factor of nonparaxial light beams. I. Definition［J］. Acta Optica Sinica, 1996, 16(9): 1217～1222

[4] [4] Cao Qing, Deng Ximing. Optical beam quality factor of nonparaxial light beams. II. Property analysis［J］. Acta Optica Sinica, 1996, 16(10): 1345～1349

[5] [5] Guo Fuyan, Lin Bin, Chen Yuqing et al.. Beam parameters in the diffracted field of dielectric planar waveguide TE0 mode［J］. Acta Optica Sinica, 2003, 23(6): 702～706

[6] [6] F. Y. Guo, L. H. Li, H. Zheng. Diffracted beam parameters of TE0 mode symmetrical MQW planar waveguide［C］. SPIE, 2012, 8420: 842004

[7] [7] Guo Fuyan, Lin Bin, Chen Yuqing et al.. Characteristic beam parameters in diffracted field of fiber end face［J］. J. Zhejiang University (Engineering Science), 2004, 38(3): 281～285

[8] [8] G. Q. Zhou, D. M. Zhao, J. X. Xu et al.. Semiconductor laser with beam quality factor M2<1［J］. Opt. Commun., 2001, 187(4-6): 395～399

[9] [9] Zhou Guoquan. Propagation of nonparaxial vector Gaussian beam［J］. Acta Physica Sinica, 2005, 54(4): 1572～1577

[10] [10] M. A. Porras. Non-paraxial vectorial moment theory of light beam propagation［J］. Opt. Commun., 1996, 127(1-3): 79～95

[11] [11] Li Lianhuang, Guo Fuyuan. Analysis on diffractive beam parameters of TE0 mode［J］. Acta Optica Sinica, 2009, 29(s1): 74～78

[12] [12] L. H. Li, F. Y. Guo. Study on the non-paraxial beam parameters of single-mode fiber［C］. SPIE, 2010, 7851: 78510V

[13] [13] Deng Xiaojiu, Niu Guojian, Liu Caixia et al.. Propagation characteristics of nonparaxial Gaussian beams［J］. Acta Physica Sinica, 2011, 60(9): 094202

[14] [14] Liu Caixia, Deng Xiaojiu, Niu Guojian et al.. Propagation characteristics of nonparaxial scalar Gaussian beam［J］. Laser & Optoelectronics Progress, 2010, 47(9): 092601

[15] [15] Deng Xiaojiu, Hu Jigang, Liu Caixia et al.. Study of the beam quality factor［J］. J. Hefei Uuniversity of Technology (Natural Science), 2002, 25(6): 1187～1190

[16] [16] Bin Lin, Xuejin Wen, Fuyuan Guo. Influence of cladding layer field of slab waveguide on M2 factor［J］. Chin. Opt. Lett., 2003, 1(8): 441～443

[17] [17] Wang Ke, Guo Fuyuan, Lin Bin. The beam propagation factor M2 of fiber cross-section diffraction［J］. Acta Optica Sinica, 2003, 23(S1): 25～26

[18] [18] Deng Xiaojiu, Wu Benke, Xiao Su et al.. Energy transmission of a small aperture in near-field diffraction［J］. Acta Optica Sinica, 2001, 21(12): 1432～1436

[19] [19] Wu Dazheng, Yang Linyao, Wang Songlin et al.. Analysis of Signals and Linear Systems (4th Edition)［M］. Beijing: Higher Education Press, 2010. 119～120, 162

[20] [20] Deng Xiaojiu, Wang Guoan, Liu Caixia et al.. Divergent characteristic of the second order moment of nonparaxial vector beams［J］. Acta Physica Sinica, 2009, 58(12): 8260～8263

[21] [21] Xie Jianping, Ming Hai, Wang Pei. The Foundation of Modern Optics［M］. Beijing: Higher Education Press, 2006, 59～64, 109～115

[22] [22] J. W. Goodman. Introduction to Fourier Optics (2nd Edition)［M］. New York: McGraw-Hill, 1996. 49～51

[23] [23] M. Born, E. Wolf. Principles of Optics (7th Edition)［M］. Oxford: Cambridge University Press, 2000. 430～431, 514～516

[24] [24] W. Freude, G. K. Grau. Rayleigh-Sommerfeld and Helmholtz-Kirchhoff integrals: application to the scalar and vectorial theory of wave propagation and diffraction［J］. J. Lightwave Technology, 1995, 13(1): 24～32

[25] [25] Yang Guoguang, Song Feijun. Advance Physical Optics (2nd Edition)［M］. Hefei: University of Science and Technology of China Press, 2008. 69～70

[26] [26] M. Artiglia, G. Coppa, P. Di Vita et al.. Mode field diameter measurements in single-mode optical fibers［J］. J. Lightwave Technology, 1989, 7(8): 1139～1152

[27] [27] Lin Bin, Guo Fuyuan, Chen Yuqing et al.. Beam characteristic analysis of scalar diffraction from weakly guiding optical fiber［J］. Chinese J. Lasers, 2003, 30(9): 809～813

[28] [28] Zou Linsen. Conformability of defining mode-field diameter by far-field scan and variable aperture with Petermann definition［J］. Study on Optical Communications, 1995, (2): 15～18, 22

[29] [29] M. Young. Mode-field diameter of single-mode optical fiber by far-field scanning［J］. Appl. Opt., 1998, 37(24): 5605～5619

[30] [30] S. Saghafi, C. J. R. Sheppard. The beam propagation factor for higher order Gaussian beams［J］. Opt. Commun., 1998, 153(4-6): 207～210

[31] [31] K. Petermann. Fundamental mode microbending loss in graded index and W fibers［J］. Opt. Quantum Electron., 1977, 9(2): 167～175

[32] [32] Gao Chunqing, W. Horst. On the problems of the beam propagation factor M2［J］. Acta Photonica Sinica, 2001, 30(2): 240～242