[1] [1] Sicgman A E. Lasers[M]. California: University Science Books, 1986. 586-589.

[2] [2] Wang Shaomin, Zhao Daomu. Matrix Optics[M]. Beijing: Higher Education Press, 2000. 8-9.

[3] [3] John H Sorebo, Robert D Lorenz. Web inspection using gradient-indexed optics[J]. IEEE Transactions on Industry Applications, 2005, 41(6): 1476-1482.

[4] [4] Ballav M Chowdhury A R. A generalized nonlinear schodinger equation and optical soliton in a gradient index cylindrical media[J]. Chaos Solitons and Fractals, 2007, 31(4): 794-803.

[5] [5] A D Yablon, R T Bise. Low-loss high-strength microstructured fiber fusion splices using GRIN fiber lenses[C]. IEEE Photon Technol Lett, 2005, 17(1): 118-120.

[6] [6] Song Hongyuan, Zhang Tingrong, Chen Senhui, et al.. Propagation properties of flattened Gaussian beams in gradientindex media[J]. High Power Laser and Particle Beams, 2011, 23(10): 2630-2633.

[7] [7] Song Hongyuan, Zhang Tingrong, Chen Senhui, et al.. Propagation properties of cosine-Gaussian beams in gradientindex medium[J]. High Power Laser and Particle Beams, 2011, 23(4): 890-894.

[8] [8] Zhou Guoquan. Propagation of Lorentz-Gaussian beams in gradient-index medium[J]. High Power Laser and Particle Beams, 2013, 25(1): 42-46.

[9] [9] Liu Li, Hao Zhongqi. Propagation of sinh-Gaussian beams in gradient-index medium[J]. Laser Technology, 2013, 37(1): 126-129.

[10] [10] Pan Pingping, Dan Youquan, Zhang Bin. Propagation of partially coherent flat-topped beams in gradient-index media [J]. Acta Optica Sinica, 2008, 28(7): 1252-1256.

[11] [11] Tang Bin, Tang Huiqin, Zhu Kaicheng, et al.. Propagation properties of Hermite-Cosh-Gaussian beams in uniaxially anisotropic crystals[J]. Journal of Optoelectronics·Laser, 2006, 17(10): 1275-1279.

[12] [12] Casperson L W, Tovar A A. Hermite sinusoidal-Gaussian beams in complex optical systems[J]. J Opt Soc A m A, 1998, 15(4): 954-960.

[13] [13] Collins S A. Lens-system diffraction integral written in terms of matrix optics[J]. J Opt Soc Am, 1970, 60(9): 1168-1177.

[14] [14] Erdelyi A, Magnus W, Oberhettinger F, et al.. Tables of Integral Transforms[M]. New York: Mc Graw Hill, 1954.