[1] Born M, Wolf E[J]. Principles of optics 7th ed.(1999).

[2] Nye J F, Berry M V. Dislocations in wave trains[J]. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 336, 165-190(1974).

[3] Allen L, Beijersbergen M W. Spreeuw R J C, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Physical Review A, 45, 8185-8189(1992).

[4] Nye J, Wright F J. Natural focusing and fine structure of light: caustics and wave dislocations[J]. American Journal of Physics, 68, 776-778(2000).

[5] Allen L, Padgett M J, Babiker M. IV the orbital angular momentum of light[M]. ∥Wolf E. Progress in optics. Amsterdam: Elsevier, 39, 291-372(1999).

[6] Kivshar Y S, Pelinovsky D E. Self-focusing and transverse instabilities of solitary waves[J]. Physics Reports, 331, 117-195(2000).

[7] Padgett M, Courtial J, Allen L. Light's orbital angular momentum[J]. Physics Today, 57, 35-40(2004).

[8] Yao A M, Padgett M J. Orbital angular momentum: origins, behavior and applications[J]. Advances in Optics and Photonics, 3, 161-204(2011).

[9] Grier D G, Roichman Y. Holographic optical trapping[J]. Applied Optics, 45, 880-887(2006).

[10] Padgett M, Bowman R. Tweezers with a twist[J]. Nature Photonics, 5, 343-348(2011).

[11] Phillips D B, Padgett M J, Hanna S et al. Shape-induced force fields in optical trapping[J]. Nature Photonics, 8, 400-405(2014).

[12] Wang J, Yang J Y, Fazal I M et al. Terabit free-space data transmission employing orbital angular momentum multiplexing[J]. Nature Photonics, 6, 488-496(2012).

[13] Yan Y, Xie G D. Lavery M P J, et al. High-capacity millimetre-wave communications with orbital angular momentum multiplexing[J]. Nature Communications, 5, 4876(2014).

[14] Wang J, Willner A E. Using orbital angular momentum modes for optical transmission. [C]∥Optical Fiber Communication Conference, March 9-13, 2014, San Francisco, California, United States. Washington, D.C.: OSA, W4J, 5(2014).

[15] Willner A E, Huang H, Yan Y et al. Optical communications using orbital angular momentum beams[J]. Advances in Optics and Photonics, 7, 66-106(2015).

[16] Khonina S N, Kotlyar V V, Shinkaryev M V et al. The phase rotor filter[J]. Journal of Modern Optics, 39, 1147-1154(1992).

[17] Beijersbergen M W. Coerwinkel R P C, Kristensen M, et al. Helical-wavefront laser beams produced with a spiral phase plate[J]. Optics Communications, 112, 321-327(1994).

[18] Padgett M J, Allen L . Orbital angular momentum exchange in cylindrical-lens mode converters[J]. Journal of Optics B: Quantum and Semiclassical Optics, 4, S17-S19(2002).

[19] Heckenberg N R. McDuff R, Smith C P, et al. Generation of optical phase singularities by computer-generated holograms[J]. Optics Letters, 17, 221-223(1992).

[20] Ibarra J C, Ortiz-Gutiérrez M, Alonso-Magaña P. Characterization of bromocresol green and resin as holographic film[J]. Optical Materials, 27, 567-572(2004).

[21] Smith A, Armstrong D. Generation of vortex beams by an image-rotating optical parametric oscillator[J]. Optics Express, 11, 868-873(2003).

[22] Cheng K, Zhong X, Xiang A. Propagation dynamics, Poynting vector and accelerating vortices of a focused Airy vortex beam[J]. Optics & Laser Technology, 57, 77-83(2014).

[23] Picón A, Mompart J. Vázquez de Aldana J R, et al. Photoionization with orbital angular momentum beams[J]. Optics Express, 18, 3660-3671(2010).

[24] Krausz F, Ivanov M. Attosecond physics[J]. Reviews of Modern Physics, 81, 163-234(2009).

[25] Hnatovsky C, Shvedov V G, Krolikowski W et al. Materials processing with a tightly focused femtosecond laser vortex pulse[J]. Optics Letters, 35, 3417-3419(2010).

[26] Hnatovsky C, Shvedov V G, Shostka N et al. Polarization-dependent ablation of silicon using tightly focused femtosecond laser vortex pulses[J]. Optics Letters, 37, 226-228(2012).

[27] Hamazaki J, Morita R, Chujo K et al. Optical-vortex laser ablation[J]. Optics Express, 18, 2144-2151(2010).

[28] Allegre J, Jin Y, Perrie W et al. Complete wavefront and polarization control for ultrashort-pulse laser microprocessing[J]. Optics Express, 21, 21198-21207(2013).

[29] Nivas J J J, He S T, Anoop K K et al. Laser ablation of silicon induced by a femtosecond optical vortex beam[J]. Optics Letters, 40, 4611-4614(2015).

[30] Tokizane Y, Shimatake K, Toda Y et al. Global evaluation of closed-loop electron dynamics in quasi-one-dimensional conductors using polarization vortices[J]. Optics Express, 17, 24198-24207(2009).

[31] Matos-Abiague A, Berakdar J. Photoinduced charge currents in mesoscopic rings[J]. Physical Review Letters, 94, 166801(2005).

[32] Quinteiro G F, Berakdar J. Electric currents induced by twisted light in Quantum Rings[J]. Optics Express, 17, 20465-20475(2009).

[33] Sueda K, Miyaji G, Miyanaga N et al. Laguerre-Gaussian beam generated with a multilevel spiral phase plate for high intensity laser pulses[J]. Optics Express, 12, 3548-3553(2004).

[34] Swartzlander G A. Achromatic optical vortex lens[J]. Optics Letters, 31, 2042-2044(2006).

[35] Xie Q S, Zhao D M. Optical vortices generated by multi-level achromatic spiral phase plates for broadband beams[J]. Optics Communications, 281, 7-11(2008).

[36] Bezuhanov K, Dreischuh A, Paulus G G et al. Vortices in femtosecond laser fields[J]. Optics Letters, 29, 1942-1944(2004).

[37] Mariyenko I G, Strohaber J. Uiterwaal C J G J. Creation of optical vortices in femtosecond pulses[J]. Optics Express, 13, 7599-7608(2005).

[38] Bezuhanov K, Dreischuh A, Paulus G G et al. Spatial phase dislocations in femtosecond laser pulses[J]. Journal of the Optical Society of America B, 23, 26-35(2006).

[39] Schwarz A, Rudolph W. Dispersion-compensating beam shaper for femtosecond optical vortex beams[J]. Optics Letters, 33, 2970-2972(2008).

[40] Zeylikovich I, Sztul H I, Kartazaev V et al. Ultrashort Laguerre-Gaussian pulses with angular and group velocity dispersion compensation[J]. Optics Letters, 32, 2025-2027(2007).

[41] Tokizane Y, Oka K, Morita R. Supercontinuum optical vortex pulse generation without spatial or topological-charge dispersion[J]. Optics Express, 17, 14517-14525(2009).

[42] Yamane K, Toda Y, Morita R. Generation of ultrashort optical vortex pulses using optical parametric amplification. [C]∥Conference on Lasers and Electro-Optics 2012, May 6-11, 2012, San Jose, California, United States. Washington, D.C.: OSA, JTu1K, 4(2012).

[43] Yamane K, Toda Y, Morita R. Ultrashort optical-vortex pulse generation in few-cycle regime[J]. Optics Express, 20, 18986-18993(2012).

[44] Shvedov V G, Hnatovsky C, Krolikowski W et al. Efficient beam converter for the generation of high-power femtosecond vortices[J]. Optics Letters, 35, 2660-2662(2010).

[45] Bock M, Jahns J, Grunwald R. Few-cycle high-contrast vortex pulses[J]. Optics Letters, 37, 3804-3806(2012).

[46] Musigmann M, Jahns J, Bock M et al. Refractive-diffractive dispersion compensation for optical vortex beams with ultrashort pulse durations[J]. Applied Optics, 53, 7304-7311(2014).

[47] Ma L, Zhang P, Li Z H et al. Spatiotemporal evolutions of ultrashort vortex pulses generated by spiral multi-pinhole plate[J]. Optics Express, 25, 29864-29873(2017).

[48] Naik D N, Saad N A, Rao D N et al. Ultrashort vortex from a Gaussian pulse-an achromatic-interferometric approach[J]. Scientific Reports, 7, 2395(2017).