[1] [1] Shen Y R. The Principles of Nonlinear Optics[M]. New York: John Wiley & Sons Inc, 1984.

[2] [2] Shimizu F. Frequency broadening in liquids by a short light pulse[J]. Phys Rev Lett, 1967, 19(19): 1097-1100.

[3] [3] Alfano R R, Shapiro S L. Emission in the region 4000 to 7000  via four-photon coupling in glass[J]. Phys Rev Lett, 1970, 24(11): 584-587.

[4] [4] Campillo A J, Shapiro S L, Suydam B R. Periodic breakup of optical beams due to self-focusing[J]. Appl Phys Lett, 1973, 23(11): 628-630.

[5] [5] Boyd R W, Lukishova S G, Shen Y R. Self-Focusing: Past and Present[M]. Berlin: Springer Verlag, 2007.

[6] [6] Wen Shuangchun. Research on Self-Focusing of Intense Laser Beams[D]. Shanghai: Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, 2001.

[7] [7] Bespalov V I, Talanov V I. Filamentary structure of light beams in nonlinear liquids[J]. JETP Lett, 1966, 3(12): 307-310.

[8] [8] Campillo A J, Shapiro S L, Suydam B R. Relationship of self-focusing to spatial instability modes[J]. Appl Phys Lett, 1974, 24(4): 178-180.

[9] [9] Chen Baosuan, Zhang Junyong, Zhang Yanli, et al.. Study of small-scale self-focusing in high-power laser system[J]. Laser & Optoelectronics Progress, 2012, 49(1): 010002.

[10] [10] Li Xiaoyan, Zhang Yanli, Ouyang Xiaoping, et al.. Effect of reflection on high power small-scale self-focusing[J]. Chinese J Lasers, 2010, 37(11): 2844-2848.

[11] [11] Wang Youwen, Hu Yonghua, Wen Shuangchun, et al.. Relationship between nonlinear hot image and dimensions of obscurations in high-power lasers[J]. Acta Optica Sinica, 2007, 27(10): 1836-1841.

[12] [12] Williams W, Renard P A, Manes K R, et al.. Modeling of Self-Focusing Experiments by Beam Propagation Codes[R]. California: LLNL Laser Program Quarterly Report (Technical Information Department University of California·Liv), 1996.

[13] [13] Williams W, Trenholme J, Orth C. NIF Design Optimization[R]. California: LLNL Laser Program Quarterly Report (Lawrence Livermore National Laboratory), 1996.

[14] [14] Kothari S C, Abbi S C. Instability growth and filamentation of very intense laser beams in self-focusing media[J]. Prog Theor Phys, 1990, 83(3): 414-442.

[15] [15] Wen S C, Fan D Y. Small-scale self-focusing of intense laser beams in the presence of vector effect[J]. Chin Phys Lett, 2000, 17(10): 731-733.

[16] [16] Wen Shuangchun, Fan Dianyuan. Small-scale self-focusing of nonparaxial laser beams[J]. Acta Physica Sinica, 2000, 49(3): 460-462.

[17] [17] Wen Shuangchun, Fan Dianyuan. Theory of small-scale self-focusing of intense laser beams in media with gain and loss[J]. Acta Physica Sinica, 2000, 49(7): 1282-1286.

[18] [18] Wen Shuangchun, Fan Dianyuan. Filamentation of intense laser beam in high power laser and the B integral[J]. Acta Optica Sinica, 2001, 21(11): 1331-1335.

[19] [19] Wen Shuangchun, Qian Liejia, Fan Dianyuan. A study on multiple filamentation of locally modulated laser beams[J]. Acta Physica Sinica, 2003, 52(7): 1640-1644.

[20] [20] Brabec T, Krausz F. Intense few-cycle laser fields: Frontiers of nonlinear optics[J]. Reviews of Modern Physcis, 2000, 72(2): 545-591.

[21] [21] Hou Yanchao, Fu Xiquan, Liu Hui. Temporal evolution of laser pulses with small-scale self-focusing in different spatial positions[J]. Chinese J Lasers, 2011, 38(3): 0302015.

[22] [22] Couairon A, Mysyrowicz A. Femtosecond filamentation in transparent media[J]. Phys Rep, 2007, 441(2-4): 47-189.

[23] [23] Chin S L. Femtosecond Laser Filamentation[M]. Berlin: Springer, 2010.

[24] [24] Chekalin S V, Kandidov V P. From self-focusing light beams to femtosecond laser pulse filamentation[J]. Phys-Uspekhi, 2013, 56(2): 123-140.

[25] [25] Ganeev R A, Ryasnyansky A I, Baba M, et al.. Nonlinear refraction in CS2[J]. Appl Phys B, 2004, 78(3-4): 433-438.