[1] J H Sorebo, R D Lorenz. Webinspection using gradient-indexed optics [J]. Proc IEEE, 2005, 41(6): 1476-1482.

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

[3] A D Yablon, R T Bise. Low- loss high- strength microstructured fiber fusion splices using GRIN fiber lenses [C]. OFC 2004, 2004, 1: 118-120.

[4] Wang Shaomin, Zhao Daomu. Principles of Matrix Optics [M]. Beijing: Higher Education Press, 2008. 8-9.

[5] Wang Xinghua, Guo Qi. Propagation properties of hyperbolic secant shaped optical beam in strongly nonlocal media [J]. Chinese J Lasers, 2006, 33(5): 645-649.

[6] Wen Shuangchun, Fan Dianyuan. Nonlinear propagation of Gaussian beams in gradient- index media [J]. High Power Laser and Particle Beams, 2000, 12(6): 657-659.

[7] Zhang Tingrong, Lü Baida. Propagation properties of Gaussian beams through a nonlinear gradient- index lens [J]. Laser Technology, 2004, 28(3): 323-326.

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

[9] Huang Huiqin, Zhao Chengliang, Lu Xuanhui. Progressin hollow beams [J]. Laser & Infrared, 2007, 37(4): 300-303.

[10] Zhang Weilin, Zhang Tingrong, Li Yantao. Propagation properties of controllable Dark- Hollow beams in uniaxial crystals [J]. Acta Optica Sinica, 2011,31(8):0826001.

[11] Degang Deng, Hua Yu, Shiqing Xu. Propagation and polarization properties of hollow Gaussian beams in uniaxial crystals [J]. Opt Commun, 2008, 281(2): 202-209.

[12] Erdelyi A, Magnus W, Oberhettinger F. Tables of Integral Transforms [M]. New York: McGraw Hill, 1954.