[1] LIU Hai-gang, L Bai-da. Focusing properties of nonuniformly polarized beams through an astigmatic lens with annular aperture［J］ . Acta Photonica Sinica, 2009, 38(7): 1602-1607.

[2] ZHAO Bao-yin, L Bai-da. Propagation of flattened beams through an astigmatic lens and changes in their beam parameters［J］ . Acta Photonica Sinica, 2008, 37(8): 1671-1674.

[3] JIANG Hui-lian, ZHAO Dao-mu, MEI Zhang-rong. Propagation characteristics of the rectangular flattened Gaussian beams through circular apertured and misaligned optical systems［J］. Opt Commun, 2006, 260(1): 1-7.

[4] CAI Yang-jian, ZHANG Lei. Propagation of a hollow Gaussian beam through a paraxial misaligned optical system［J］. Opt Commun, 2006, 265(4): 607-615.

[5] SHEN Mei-xiao, WANG Shao-min, ZHAO Dao-mu. ropagation of flattened Gaussian beams passing through a misaligned optical system with finite aperture［J］. Optik, 2004, 115(5): 193-196.

[6] JIANG Hui-lian, ZHAO Dao-mu. Propagation of the Hermite-Gaussian beams through misaligned optical system with a circular aperture［J］. Optik, 2006, 117(6): 215-219.

[7] ZHENG Chong-wei. Propagation of partially coherent off-axis flat-topped beam through aligned and misaligned optical systems［J］. Opt Commun, 2005, 253(1): 21-27.

[8] WU Guo-hua, LOU Qi-hong, ZHOU Jun, et al. Propagation of flat-topped beams［J］. Opt Laser Technol, 2008, 40(6): 494-498.

[9] GU Ju-guan, ZHAO Dao-mu, MEI Zhang-rong, et al. The relative phase shift of off-axial Gaussian beams through an apertured and misaligned optical system［J］. Optik, 2004, 115(4): 187-191.

[10] HU Li, CAI Yang-jian. Analytical formula for a circular flattened Gaussian beam propagating through a misaligned paraxial ABCD optical system［J］. Physics Letters A, 2006, 360(2): 394-399.

[11] MAO Hai-dan, ZHAO Dao-mu. Studies of the characteristic parameters for a flattened-Gaussian beam through a defocusing lens［J］. Optik, 2007, 118(1): 57-61.

[12] WANG Xi-qing, LIANG Guo-dong, L Bai-da. Approximate close-form express ion for Gauss ian beams passing through an ABCD opt ica l system with hard-edge aperture［J］. High Power Laser and Particle Beams, 2001, 13(4): 418-422.

[13] CHU Xiu-xiang, NI Yong-zhou, ZHOU Guo-quan. Propagation analysis of flattened circular Gaussian beams with a circular aperture in turbulent atmosphere［J］. Opt Commun, 2007, 274(2): 274-280.

[14] TAO Xiang-yang, ZHOU Nan-run, L Bai-da. Approximate analytical propagation equations of laser beams through a paraxial optical ABCD system with aperture［J］. High Power Laser and Particle Beams, 2003, 15(1): 51-54.

[15] SHEN Xue-ju, WANG Long, SHEN Hong-bin, et al. Propagation analysis of flattened circular Gaussian beams with a misaligned circular aperture in turbulent atmosphere［J］. Opt Commun, 2009, 282(24): 4765-4770.

[16] WEN J J. A diffraction beam field expressed as the superposition of Gaussian beams［J］. J Acoust Soc Amer, 1988, 83(5): 1752-1756.

[17] WANG Shao-min, ZHAO Dao-mu. Principles of matrix optics［M］. Hangzhou: Hangzhou University Press, 1994，147-154，179-181.