[1] Kelley P L. Self-focusing of optical beams[J]. Physical Review Letters, 15, 1005(1965).

[2] Liu Rende, Hu Dongxia, Zhao Junpu et al. Assessment research of small-scale self-focusing in intense laser beam by near-field intensity entropy[J]. Acta Optica Sinica, 35, s226001(2015).

[3] Hunt J T, Manes K R, Renard P A. Hot images from obscurations[J]. Applied Optics, 32, 5973-5982(1993). http://www.ncbi.nlm.nih.gov/pubmed/20856422

[4] Williams W H, Renard P A, Manes K R et al. Modeling of self-focusing experiments by beam propagation codes[R]. Inertial Confinement Fusion, 94551(1996).

[5] Widmayer C C. Milam D, de Szoeke S P. Nonlinear formation of holographic images of obscurations in laser beams[J]. Applied Optics, 36, 9342-9347(1997).

[6] Widmayer C C, Nickels M R, Milam D. Nonlinear holographic imaging of phase errors[J]. Applied Optics, 37, 4801-4805(1998). http://www.opticsinfobase.org/abstract.cfm?uri=ao-37-21-4801

[7] Widmayer C C, Jones L R, Milam D. Measurement of the nonlinear coefficient of carbon disulfide using holographic self-focusing[J]. Journal of Nonlinear Optical Physics & Materials, 7, 563-570(1998). http://www.worldscientific.com/doi/abs/10.1142/S0218863598000417

[8] Peng T, Zhao J L, Li D. Theoretical analysis of hot-image effect in a high-power laser system with cascaded nonlinear medium[J]. Optics and Lasers in Engineering, 49, 972-978(2011). http://www.sciencedirect.com/science/article/pii/S0143816611000418

[9] Zhao Jianlin, Peng Tao, Ye Zhijun. Hot-image effects in high-power solid state laser systems[J]. Chinese J Lasers, 34, 1315-1322(2007).

[10] Zhang Y L, Zhang J Y, Jiao Z Y et al. Study on impact of spatial filter on a hot image through medium with gain[J]. Optik-International Journal for Light and Electron Optics, 126, 1209-1212(2015). http://www.sciencedirect.com/science/article/pii/S0030402615001448

[11] Shaw M, Williams W, House R et al. Laser performance operations model[J]. Optical Engineering, 43, 2885-2895(2004).

[12] Kegelmeyer L M, Senecal J G, Conder A D et al. Optimizing blocker usage on NIF using image analysis and machine learning[C]. ICALEPCS(2013).

[13] Chen B Y, Kegelmeyer L M, Liebman J A et al. Detection of laser optic defects using gradient direction matching[C]. SPIE, 6101, 61011L(2006).

[14] Hunt J T, Glaze J A, Simmons W W et al. Suppression of self-focusing through low-pass spatial filtering and relay imaging[J]. Applied Optics, 17, 2053-2057(1978). http://www.ncbi.nlm.nih.gov/pubmed/20203723

[15] Zhou Lidan, Su Jingqin, Liu Lanqin et al. Effects on beam quality of booster stage induced by “defects” on optics[J]. High Power Laser and Particle Beams, 21, 326-330(2009).

[16] You Kewei, Zhang Yanli, Zhang Xuejie et al. Analysis of near-field modulations caused by defects in high power laser system[J]. Chinese J Lasers, 43, 0302002(2016).

[17] Paglieroni D W, Eppler W G. Resolution analysis for gradient direction matching of object model edges to overhead images[J]. Computer Vision and Image Understanding, 113, 235-248(2009). http://www.researchgate.net/publication/220134924_Resolution_analysis_for_Gradient_Direction_Matching_of_object_model_edges_to_overhead_images?ev=auth_pub

[18] Horner J L, Gianino P D. Phase-only matched filtering[J]. Applied Optics, 23, 812-816(1984).

[19] Awwal A, Candy J V, Haynam C A et al. Accurate position sensing of defocused beams using simulated beam templates[C]. SPIE, 233-242(2004).

[20] Tagare H D. On the localization performance measure and optimal edge detection[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12, 1186-1190(1990).

[21] Verbeek P W, van Vliet L J. On the location error of curved edges in low-pass filtered 2-D and 3-D images[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 16, 726-733(1994). http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=297954

[22] Dudley A, Vasilyeu R, Belyi V et al. Controlling the evolution of nondiffracting speckle by complex amplitude modulation on a phase-only spatial light modulator[J]. Optics Communications, 285, 5-12(2012). http://www.sciencedirect.com/science/article/pii/S003040181100976X