[1] [1] N N Akhmediev, V I Korneev, R F Nabiev. Modulation instability of the ground state of the nonlinear wave equation: optical machine gun[J]. Opt Lett, 1992, 17(6): 393-395.

[2] [2] W W Simmons, S Guch, Jr F Rainer, et al.. A high energy spatialfilter for removal of small scale beam instabilities in high power solid state lasers[J]. IEEE Journal of Quantum Electronics, 1975, 11(9): 852.

[3] [3] Tang Shiwang, Zhu Haidong, Guo Ailin, et al.. Study of simulation and experiment of the prompt pump-induced wavefront of the four-pass amplification high power laser facility[J]. Chinese J Lasers, 2014, 41(7): 0702005.

[4] [4] J T Hunt, J A Glaze, W W Simmons, et al.. Suppression of self-focusing through low-pass spatial filtering and relay imaging[J]. Appl Opt, 1978, 17(13): 2053-2057.

[5] [5] J E Murray, D Milam, C D Boley, et al.. Spatial filter pinhole development for the National Ignition Facility[C]. Appl Opt, 2000, 39(9), 1405-1420.

[6] [6] J E Murray, D Milam, C D Boley, et al.. Spatial filter issues[C]. SPIE, 1999, 3492, 496-503.

[7] [7] J E Murray, K G Estabrook, D Milam, et al.. Spatial filter issues[C]. SPIE, 1996, 3047, 207-212.

[8] [8] S Sato, H Ashida. Vacuum-cored hollow waveguide for transmission of high-energy, nanosecond, Nd:YAG laser pulses and its application to biological tissue ablation[J]. Opt Lett, 2000, 25(1): 49-51.

[9] [9] Yu Wenyan, Wang Guiying, Wang Shisen, et al.. Diagnosis and compensation of wavefront distortion of laser beams[J]. Chinese J Lasers, 1983, 10(4): 220-224.

[10] [10] A C Erlandson. Spatial Filter for High Average Power Lasers: US Patent, 8320056[P]. 2012-11-27.

[11] [11] J W Goodman. Introduction to Fourier Optics 2nd Edition[M]. New York: Mac. Graw-Hill, 1996.

[12] [12] A A Tovar. Propagation of flat-topped multi-Gaussian laser beams[J]. Journal of the Optical Society of America A-Optics Image Science and Vision, 2001, 18(8): 1897-1904.

[13] [13] Chen Jiannong. Propagation and transformation of flat- topped multi- Gaussian beams in a general nonsymmetrical apertured double-lens system[J]. Journal of the Opt Society of America A-Optics Image Science and Vision, 2007, 24(1): 84-92.

[14] [14] Gao Yanqi, Zhu Baoqiang, Liu Daizhong, et al.. Propagation of flat-topped multi-Gaussian beams through a double-lens system with apertures[J]. Opt Express, 2009, 17(15): 12753-12766.

[15] [15] Ma Xuemei, Han Kai, Zhang Bin. Prediction for wavefront correction effect of discrete deformable mirror based on filter function[J]. Acta Optica Sinica, 2014, 34(1): 0101002.

[16] [16] D Milam, J E Murray, K G Estabrook, et al.. Pinhole closure measurements[C]. SPIE, 1998, 3492, 504-509.

[17] [17] Zhao Junpu, Hu Dongxia, Zhou Wei, et al.. Analysis of near-field power spectral density in high-power solid-state laser[J]. Acta Optica Sinica, 2008, 28(s1): 118-122.

[18] [18] Yang Wang, Huang Wei, Xu Weicai, et al.. Analysis of mid-spatial frequency surface errors effects on local flare in lithographic projection lens[J]. Acta Optica Sinica, 2013, 33(9): 0922001.

[19] [19] Zheng Lina, Kuang Haipeng, Li Wenming, et al.. Method of pedestal component elimination based on line CCD for spatial-filter velocimetry signal[J]. Acta Optica Sinica, 2014, 34(2): 0211001.

[20] [20] Zhang Rongzhu, Cai Bangwei, Yang Chunlin, et al.. Numerical method of the power spectral density[J]. High Power Laser and Particle Beams, 2000, 12(6): 661-664.