[1] Yin J P, Gao W J, Zhu Y F. Generation of dark hollow beams and their applications［J］. Progress in Optics,2003,45:119-204.

[2] Wang Z L, Yin J P, Wang Z L. Guiding and cooling of atoms in an interference field composed of two hollow beams［J］. Optics Express, 2006,14(21):9551-9557.

[3] 张伟林,张廷蓉,李艳桃,等.可控空心光束在单轴晶体中的传输特性［J］.光学学报,2011,31(8): 269-275.

[4] Mei Z R, Zhao D M. Controllable dark-hollow beams and their propagation characteristics［J］. J Opt Soc Am A, 2005, 22(9):1898-1902.

[5] Deng D G, Fu X Y, Wei C Y, et al. Far-field intensity distribution and M2 factor of hollow Gaussian beams［J］. Applied Optics, 2005, 44(33):7187-7190.

[6] Cai Y J, Ge D. Propagation of various dark hollow beams through an apertured paraxial ABCD optical system［J］. Physics Letters A, 2006, 357(1):72-80.

[7] Cai Y J, Zhang L. Propagation of a hollow Gaussian beam through a paraxial misaligned optical system［J］. Optics Communications, 2006, 265(2):607-615.

[8] Cai Y J, He S L. Propagation of various dark hollow beams in turbulent atmosphere［J］. Optics Express, 2006, 14(4):1353-1367.

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

[10] 王绍民,赵道木.矩阵光学［M］.北京:高等教育出版社,2000:8-9.

[11] 宋宏远,张廷蓉,陈森会,等.平顶高斯光束在梯度折射率介质中的传输特性［J］.强激光与粒子束,23(10): 2630-2633.

[12] 潘平平,但有全,张彬.部分相干平顶光束在梯度折射率介质中的传输特性［J］.光学学报,2008, 28(7):1252-1257.

[13] 宋宏远,张廷蓉,陈森会,等.余弦高斯光束在梯度折射率介质中的传输特性［J］.强激光与粒子束,2011, 23(10): 2630-2633.

[14] 文双春,范滇元.梯度折射率介质中高斯光束的非线性传输特性［J］.强激光与粒子束,2000,12(6):657-659.

[15] 吕百达.激光光学［M］.北京:高等教育出版社,2003:11.

[16] Ji X L, Zhang E T, Lu¨B D. Superimposed partially coherent beams propagating through atmospheric turbulence［J］. J Opt Soc Am B, 2008, 25(5):825-833.

[17] Ji X L, Pu Z C. Angular spread of Gaussian Schell-model array beams propagating through atmospheric turbulence［J］. Applied Physics B, 2008, 93(4):915-923.

[18] Li X Q, Ji X L. Angular spread and directionality of the Hermite-Gaussian array beam propagating through atmospheric turbulence［J］. Applied optics, 2009, 48(22): 4338-4347.

[19] 陈媛, 蒲继雄, 刘继云. 部分相干光束的聚焦特性［J］. 中国激光, 2006, 33(10): 1375-1378.

[20] Li Y J. Light beam with flat-topped profiles［J］. Optics Letters, 2002, 27(12):1007-1009.