[1] Qi X X, Ma C L, Lin W B. Pressure effects on the femtosecond laser filamentation[J]. Optics Communications, 2016, 358: 126-131.
[2] Sun Xiaodong. Control of multiple filaments during femtosecond laser filamentation[D]. Tianjin: Nankai University, 2012: 1-5.
[3] Hercher M. Laser-induced damage in transparent media[J]. Journal of the Optical Society of America B, 1964, 54(4): 563-567.
[4] Reintjes J, Carman R L. Direct observation of the orientational Kerr effect in the self-focusing of picosecond pulses[J]. Physical Review Letters, 1972, 28(26): 1697-1700.
[5] Chiao R, Garmire E. Self-trapping of optical beams[J]. IEEE Journal of Quantum Electronics, 1966, 2(4): 126-127.
[6] Loy M M T, Shen Y R. Small-scale filaments in liquids and tracks of moving foci[J]. Physical Review Letters, 1969, 22(19): 994-997.
[7] Mlejnek M, Wright E M, Moloney J V. Dynamic spatial replenishment of femtosecond pulses propagating in air[J]. Optics Letters, 1998, 23(5): 382-384.
[8] Liu Bin, Dai Yutang, Yin Guanglin, et al. Exploration on ultrasonic vibration aided femtosecond laser machining process of fiber optic materials[J]. Chinese J Lasers, 2016, 43(3): 0303005.
[9] Liu Baoguang, Wang Xiao, Liu Wei, et al. Process optimization of laser transmission spot welding using material PMMA for automotive industry[J]. Chinese J Lasers, 2016, 43(5): 0503004.
[10] Ye L, Perrie W, Allegre O J, et al. NUV femtosecond laser inscription of volume Bragg gratings in poly (methy) methacrylate with linear and circular polarizations[J]. Laser Physics, 2013, 23(12): 126004.
[11] Zhai Zhongsheng, Hu Yongtao, Lü Qinghua, et al. Research on controlling the polarization state of laser beam with a spatial light modulator[J]. Laser & Optoelectronics Progress, 2016, 53(3): 032601.
[12] Davis J A, Evans G H, Moreno I. Polarization-multiplexed diffractive optical elements with liquid-crystal displays[J]. Applied Optics, 2005, 44(19): 4049-4052.
[13] Tang Yanfu, Nie Zhenwei. Study on periodic ripples on metallic surfaces induced by polarized lasers[J]. Chinese J Lasers, 2015, 42(7): 0702002.
[14] Zhou Zhehai. Formation, properties and applications of axially symmetric polarized beams[D]. Beijing: Tsinghua University, 2010: 15-46.
[16] Shen Y R. The principles of nonlinear optics[M]. New York: Wiley, 1984.
[17] Boyd R W. Nonlinear Optics[M]. Boston: Academic Press, 2003.
[18] Hu Y Z, Nie J S, Ye Q, et al. Femtosecond laser filamentation with different atmospheric pressure gradients[J]. Optik - International Journal for Light and Electron Optics, 2016, 127(23): 11529-11533.
[19] Meng Xianfei. Study on supercontinuum spectrum in fused silica and barium fluoride by femtosecond laser[D]. Changchun: Changchun University of Science and Technology, 2014: 29-32.
[21] Vogel A, Nahen K, Theisen D, et al. Plasma formation in water by picosecond and nanosecond Nd∶YAG laser pulses. I. Optical breakdown at threshold and super threshold irradiance[J]. IEEE Journal of Selected Topics in Quantum Electronics, 1996, 2(4): 847-860.
[22] Qi X X, Ma C L, Lin W B. Pressure effects on the femtosecond laser filamentation[J]. Optics Communications, 2016, 358: 126-131.
[23] Rong Hua. Study on the interaction of femtosecond laser with glass and "light filament"[D]. Tianjin: Nankai University, 2007: 38-39.
[24] Tang Xinchun, Gao Jiancun, Wang Kun, et al. Generation of a radially polarized light and its applications[J]. Laser & Optoelectronics Progress, 2013, 50(3): 030001.
[25] Wang Zhenhua, Li Jingsong. The generation of a radially polarized beam and its application in the modern optics[J]. Laser Journal, 2009, 30(1): 8-10.
[26] Couairon A, Mysyrowicz A. Femtosecond filamentation in transparent media[J]. Physics Reports, 2007, 441(2/3/4): 47-189.