[1] [1] E A J Marcatili. Dielectric rectangular waveguide and directional coupler for integrated optics [J]. Bell System Technical Journal, 1969, 48(7): 2071-2102.

[2] [2] M Kuznetsov. Expressions for the coupling coefficient of a rectangular-waveguide directional coupler [J]. Opt Lett, 1983, 8(9): 499-501.

[3] [3] D M Zhang, Y Zhao, C S Ma, et al.. Performance analysis of a polymer/silicon arrayed waveguide grating [C]. SPIE, 2002, 4905: 432-437.

[4] [4] Z J Sun. Demultiplexer Based on Integrated Concave Grating [D]. Manitoba: University of Manitoba, 1998. 35-65.

[5] [5] A Yacoubian, W P Lin, D Olson, et al.. Electro-optic modulator coupling loss improvement by tapering waveguides and fibers [J]. IEEE Proc Aerospace Conference, 2001, 3: 1481-1488.

[6] [6] F Y Guo, L H Li, H Zheng, et al.. Coupling characteristics between fundamental mode square waveguide and fiber [C]. SPIE, 2012, 8555: 85551H.

[7] [7] You Yang, Zhao Ming, Yang Zhenyu. Progress of study on waveguide and fiber coupling design [J]. Laser & Optoelectronics Progress, 2013, 50(2): 020007.

[8] [8] J W Goodman. Introduction to Fourier Optics (2nd Edition) [M]. New York: McGraw-Hill, 1996. 30-61.

[9] [9] A E Siegman. New development in laser resonators [C]. SPIE, 1990, 1224: 2-14.

[10] [10] Guo Fuyuan, Li Lianhuang. Propagation characteristics of non-paraxial diffraction beam [J]. Chinese J Lasers, 2013, 40(1): 0102004.

[11] [11] A E Siegman. How to (maybe) measure laser beam quality [J].OSA Trends in Optical and Photonics Series, 1998, 17(2): 184-199.

[12] [12] Feng Guoying, Zhou Shouhuan. Discussion of comprehensive evaluation on laser beam quality [J]. Chinese J Lasers, 2009, 36(7): 1643-1653.

[13] [13] Yin Suqin, Zhang Bin. Analysis of the output characteristics of high-power fiber lasers after spectral beam combination [J]. Acta Optica Sinica, 2011, 31(2): 0214002.

[14] [14] Qing Yusan, Jiang Donglin, Lü Baida. Beam quality of plane waves diffracted by a rectangular annular aperture [J]. Laser Technology, 2001, 25(5): 335-337.

[15] [15] Li Xiaotong, Cen Zhaofeng. Geometrical Optics, Aberrations and Optical Design (2nd Edition) [M]. Hangzhou: Zhejiang University Press, 2007. 301-302.

[16] [16] M Born, E Wolf. Principles of Optics (7th Edition) [M]. Oxford: Cambridge University Press, 1999. 412-516.

[17] [17] Guo Fuyuan, Li Lianhuang, Zheng Hua, et al.. Propagation characteristics of simple cylindrical polarized beam [J]. Chinese J Lasers, 2013, 40(8): 0802003.

[18] [18] Liang Quanting. Physical Optics (3rd Edition) [M]. Beijing: Publishing House of Electronics Industry, 2008. 22-31.

[19] [19] Gao Yuan, Zhang Xiaoxia, Liao Jinkun. Analysis on performances of several polymer bent waveguide based on asymmetric ridge waveguide [J]. Acta Optica Sinica, 2012, 32(10): 1013001.

[20] [20] K Hayata, M Koshiba, M Suzuki. Modal spot size of axially nonsymmetrical fibres [J]. Electron Lett, 1986, 22(3): 127-129.

[21] [21] Guo Fuyuan, 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.

[22] [22] Guo Fuyuan, Lin Bin, Chen Yuqing, et al.. Characteristic analysis of diffraction from planar waveguide [J]. Acta Optica Sinica, 2002, 22(12): 1513-1517.

[23] [23] Deng Xiaojiu, Niu Guojian, Liu Caixia, et al.. Propagation characteristics of nonparaxial Gaussian beams [J]. Acta Physica Sinica, 2011, 60(9): 094202.

[24] [24] 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.