[1] Garmire E, Chiao R Y, Townes C H. Dynamics and characteristics of the self-trapping of intense light beams［J］. Phys Rev Lett, 1966, 16(9): 347-349.

[2] Kelley P L. Self-focusing of optical beams［J］. Phys Rev Lett, 1965, 15(26): 1005-1008.

[3] Lallemand P, Bloembergen N. Self-focusing of laser beams and stimulated Raman gain in liquids［J］. Phys Rev Lett, 1965, 15(26): 1010-1012.

[4] Talanov V I. Self-focusing of wave beams in nonlinear media［J］. Journal of Experimental and Theoretical Physics Letters, 1965, 2(5): 138-141.

[5] Bespalov V I, Talanov V I. Filamentary structure of light beams in nonlinear liquids［J］. Journal of Experimental and Theoretical Physics Letters, 1966, 3(11): 471-476.

[6] 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.

[7] Bliss E S, Speck D R, Holzrichter J F, et al. Propagation of a high-intensity laser pulse with small-scale intensity modulation［J］. Appl Phys Lett, 1974, 25(8): 448-450.

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

[10] 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.

[11] 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.

[12] Deng Jianqin, Zhang Jin, Yang Hua, et al. Condition for suppression of small-scale self-focusing of high-power laser beams by spectral bandwidth［J］. Acta Optica Sinica, 2012, 32(5): 0519001.

[13] 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.

[14] Zhang Lifu, Zhang Jinggui, Zhong Haizhe, et al. Experimental study of nonlinear propagation of intense laser with diffraction modulation induced by a circular aperture［J］. Chinese J Lasers, 2014, 41(12): 1202008.

[15] Fibich G, Eisenmann S, Ilan B, et al. Self-focusing distance of very high power laser pulses［J］. Opt Express, 2005, 13(15): 5897-5903.

[16] Grow T D, Ishaaya A A, Vuong L T, et al. Collapse dynamics of super-Gaussian beams［J］. Opt Express, 2006, 14(12): 5468-5475.

[17] Boyd R W. Nonlinearoptics［M］. New York: Academic Press, 2007.