[1] H. Rubinsztein-Dunlop, A. Forbes, M. V. Berry, M. R. Dennis, D. L. Andrews, M. Mansuripur, C. Denz, C. Alpmann, P. Banzer, T. Bauer, E. Karimi, L. Marrucci, M. Padgett, M. Ritsch-Marte, N. M. Litchinitser, N. P. Bigelow, C. Rosales-Guzmán, A. Belmonte, J. P. Torres, T. W. Neely, M. Baker, R. Gordon, A. B. Stilgoe, J. Romero, A. G. White, R. Fickler, A. E. Willner, G. Xie, B. McMorran, A. M. Weiner. Roadmap on structured light. J. Opt., 19, 013001(2017).
[2] N. K. Efremidis, Z. Chen, M. Segev, D. N. Christodoulides. Airy beams and accelerating waves: an overview of recent advances. Optica, 6, 686-701(2019).
[3] M. S. Soskin, M. V. Vasnetsov. Singular optics. Prog. Opt., 42, 219-276(2001).
[4] A. S. Desyatnikov, L. Torner, Y. S. Kivshar. Optical vortices and vortex solitons. Prog. Opt., 47, 291-391(2005).
[5] M. R. Dennis, K. O’Holleran, M. J. Padgett. Singular optics: optical vortices and polarization singularities. Prog. Opt., 53, 293-363(2009).
[6] J. E. Curtis, D. G. Grier. Structure of optical vortices. Phys. Rev. Lett., 90, 133901(2003).
[7] Y. Shen, X. Wang, Z. Xie, C. Min, X. Fu, Q. Liu, M. Gong, X. Yuan. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities. Light Sci. Appl., 8, 90(2019).
[8] N. B. Simpson, L. Allen, M. J. Padgett. Optical tweezers and optical spanners with Laguerre–Gaussian modes. J. Mod. Opt., 43, 2485-2491(1996).
[9] H. He, M. E. Friese, N. R. Heckenberg, H. Rubinsztein-Dunlop. Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity. Phys. Rev. Lett., 75, 826-829(1995).
[10] T. Stav, A. Faerman, E. Maguid, D. Oren, V. Kleiner, E. Hasman, M. Segev. Quantum entanglement of the spin and orbital angular momentum of photons using metamaterials. Science, 361, 1101-1104(2018).
[11] R. Fickler, G. Campbell, B. Buchler, P. K. Lam, A. Zeilinger. Quantum entanglement of angular momentum states with quantum numbers up to 10,010. Proc. Natl. Acad. Sci. USA, 113, 13642-13647(2016).
[12] K. T. Gahagan, G. A. Swartzlander. Optical vortex trapping of particles. Opt. Lett., 21, 827-829(1996).
[13] L. Allen, M. W. Beijersbergen, R. J. Spreeuw, J. P. Woerdman. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A, 45, 8185-8189(1992).
[14] F. Flossmann, U. T. Schwarz, M. Maier. Propagation dynamics of optical vortices in Laguerre–Gaussian beams. Opt. Commun., 250, 218-230(2005).
[15] Y. Cai, X. Lu, Q. Lin. Hollow Gaussian beams and their propagation properties. Opt. Lett., 28, 1084-1086(2003).
[16] J. Arlt, K. Dholakia. Generation of high-order Bessel beams by use of an axicon. Opt. Commun., 177, 297-301(2000).
[17] K. Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt, K. Dholakia. Orbital angular momentum of a high-order Bessel light beam. J. Opt. B, 4, S82-S89(2002).
[18] S. Chávez-Cerda, M. J. Padgett, I. Allison, G. H. C. New, J. C. Gutiérrez-Vega, A. T. O’Neil, I. MacVicar, J. Courtial. Holographic generation and orbital angular momentum of high-order Mathieu beams. J. Opt. B, 4, S52-S57(2002).
[19] C. Lopez-Mariscal, J. C. Gutierrez-Vega, G. Milne, K. Dholakia. Orbital angular momentum transfer in helical Mathieu beams. Opt. Express, 14, 4182-4187(2006).
[20] Y. F. Chen, T. H. Lu, K. F. Huang. Observation of spatially coherent polarization vector fields and visualization of vector singularities. Phys. Rev. Lett., 96, 033901(2006).
[21] C. Rosales-Guzmán, B. Ndagano, A. Forbes. A review of complex vector light fields and their applications. J. Opt., 20, 123001(2018).
[22] J. Arlt, T. Hitomi, K. Dholakia. Atom guiding along Laguerre-Gaussian and Bessel light beams. Appl. Phys. B, 71, 549-554(2000).
[23] M. Goutsoulas, D. Bongiovanni, D. Li, Z. Chen, N. K. Efremidis. Tunable self-similar Bessel-like beams of arbitrary order. Opt. Lett., 45, 1830-1833(2020).
[24] R. Grunwald, M. Bock. Needle beams: a review. Adv. Phys. X, 5, 1736950(2020).
[25] X. Weng, Q. Song, X. Li, X. Gao, H. Guo, J. Qu, S. Zhuang. Free-space creation of ultralong anti-diffracting beam with multiple energy oscillations adjusted using optical pen. Nat. Commun., 9, 5035(2018).
[26] C. Vetter, R. Steinkopf, K. Bergner, M. Ornigotti, S. Nolte, H. Gross, A. Szameit. Realization of free-space long-distance self-healing Bessel beams. Laser Photon. Rev., 13, 1900103(2019).
[27] Z. Zhang, X. Liang, M. Goutsoulas, D. Li, X. Yang, S. Yin, J. Xu, D. N. Christodoulides, N. K. Efremidis, Z. Chen. Robust propagation of pin-like optical beam through atmospheric turbulence. APL Photon., 4, 076103(2019).
[28] Z. Chen, M. Segev, D. N. Christodoulides. Optical spatial solitons: historical overview and recent advances. Rep. Prog. Phys., 75, 086401(2012).
[29] Y. V. Kartashov, B. A. Malomed, L. Torner. Solitons in nonlinear lattices. Rev. Mod. Phys., 83, 247-305(2011).
[30] R. Gautam, A. Bezryadina, Y. Xiang, T. Hansson, Y. Liang, G. Liang, J. Lamstein, N. Perez, B. Wetzel, R. Morandotti, Z. Chen. Nonlinear optical response and self-trapping of light in biological suspensions. Adv. Phys. X, 5, 1778526(2020).
[31] L. Tang, D. Song, S. Xia, S. Xia, J. Ma, W. Yan, Y. Hu, J. Xu, D. Leykam, Z. Chen. Photonic flat-band lattices and unconventional light localization. Nanophotonics, 9, 1161-1176(2020).
[32] J. Durnin, J. J. Miceli, J. H. Eberly. Diffraction-free beams. Phys. Rev. Lett., 58, 1499-1501(1987).
[33] J. Durnin. Exact solutions for nondiffracting beams. I. The scalar theory. J. Opt. Soc. Am. A, 4, 651-654(1987).
[34] J. C. Gutierrez-Vega, M. D. Iturbe-Castillo, S. Chavez-Cerda. Alternative formulation for invariant optical fields: Mathieu beams. Opt. Lett., 25, 1493-1495(2000).
[35] P. Zhang, Y. Hu, T. Li, D. Cannan, X. Yin, R. Morandotti, Z. Chen, X. Zhang. Nonparaxial Mathieu and Weber accelerating beams. Phys. Rev. Lett., 109, 193901(2012).
[36] I. D. Chremmos, Z. Chen, D. N. Christodoulides, N. K. Efremidis. Bessel-like optical beams with arbitrary trajectories. Opt. Lett., 37, 5003-5005(2012).
[37] J. Zhao, P. Zhang, D. Deng, J. Liu, Y. Gao, I. D. Chremmos, N. K. Efremidis, D. N. Christodoulides, Z. Chen. Observation of self-accelerating Bessel-like optical beams along arbitrary trajectories. Opt. Lett., 38, 498-500(2013).
[38] M. Goutsoulas, N. K. Efremidis. Precise amplitude, trajectory, and beam-width control of accelerating and abruptly autofocusing beams. Phys. Rev. A, 97, 063831(2018).
[39] G. A. Siviloglou, D. N. Christodoulides. Accelerating finite energy Airy beams. Opt. Lett., 32, 979-981(2007).
[40] G. A. Siviloglou, J. Broky, A. Dogariu, D. N. Christodoulides. Observation of accelerating Airy beams. Phys. Rev. Lett., 99, 213901(2007).
[41] M. A. Bandres. Accelerating beams. Opt. Lett., 34, 3791-3793(2009).
[42] M. A. Bandres. Accelerating parabolic beams. Opt. Lett., 33, 1678-1680(2008).
[43] N. K. Efremidis, D. N. Christodoulides. Abruptly autofocusing waves. Opt. Lett., 35, 4045-4047(2010).
[44] P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, Z. Chen. Trapping and guiding microparticles with morphing autofocusing Airy beams. Opt. Lett., 36, 2883-2885(2011).
[45] D. G. Papazoglou, N. K. Efremidis, D. N. Christodoulides, S. Tzortzakis. Observation of abruptly autofocusing waves. Opt. Lett., 36, 1842-1844(2011).
[46] I. Chremmos, N. K. Efremidis, D. N. Christodoulides. Pre-engineered abruptly autofocusing beams. Opt. Lett., 36, 1890-1892(2011).
[47] S. N. Khonina, A. P. Porfirev, A. V. Ustinov. Sudden autofocusing of superlinear chirp beams. J. Opt., 20, 025605(2018).
[48] B. Chen, C. Chen, X. Peng, Y. Peng, M. Zhou, D. Deng. Propagation of sharply autofocused ring Airy Gaussian vortex beams. Opt. Express, 23, 19288-19298(2015).
[49] F. O. Fahrbach, P. Simon, A. Rohrbach. Microscopy with self-reconstructing beams. Nat. Photonics, 4, 780-785(2010).
[50] T. Vettenburg, H. I. Dalgarno, J. Nylk, C. Coll-Llado, D. E. Ferrier, T. Cizmar, F. J. Gunn-Moore, K. Dholakia. Light-sheet microscopy using an Airy beam. Nat. Methods, 11, 541-544(2014).
[51] S. Jia, J. C. Vaughan, X. Zhuang. Isotropic 3D super-resolution imaging with a self-bending point spread function. Nat. Photonics, 8, 302-306(2014).
[52] P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, D. N. Christodoulides. Curved plasma channel generation using ultraintense Airy beams. Science, 324, 229-232(2009).
[53] J. Baumgartl, M. Mazilu, K. Dholakia. Optically mediated particle clearing using Airy wavepackets. Nat. Photonics, 2, 675-678(2008).
[54] S. Chen, S. Li, Y. Zhao, J. Liu, L. Zhu, A. Wang, J. Du, L. Shen, J. Wang. Demonstration of 20-Gbit/s high-speed Bessel beam encoding/decoding link with adaptive turbulence compensation. Opt. Lett., 41, 4680-4683(2016).
[55] N. Ahmed, Z. Zhao, L. Li, H. Huang, M. P. Lavery, P. Liao, Y. Yan, Z. Wang, G. Xie, Y. Ren, A. Almaiman, A. J. Willner, S. Ashrafi, A. F. Molisch, M. Tur, A. E. Willner. Mode-division-multiplexing of multiple Bessel-Gaussian beams carrying orbital-angular-momentum for obstruction-tolerant free-space optical and millimetre-wave communication links. Sci. Rep., 6, 22082(2016).
[56] E. DelRe, A. J. Agranat, C. Conti. Light with no spatial scale: diffraction cancellation, anti-diffraction, scale-free instability and subwavelength beam propagation in dipolar glasses. Advanced Photonics Congress, NW3D.1(2012).
[57] E. DelRe, E. Spinozzi, A. J. Agranat, C. Conti. Scale-free optics and diffractionless waves in nanodisordered ferroelectrics. Nat. Photonics, 5, 39-42(2010).
[58] E. DelRe, F. Di Mei, J. Parravicini, G. Parravicini, A. J. Agranat, C. Conti. Subwavelength anti-diffracting beams propagating over more than 1,000 Rayleigh lengths. Nat. Photonics, 9, 228-232(2015).
[59] H. Harutyunyan. Anti-diffraction of light. Nat. Photonics, 9, 213-214(2015).
[60] D. Li, D. Bongiovanni, M. Goutsoulas, S. Xia, Z. Zhang, Y. Hu, D. Song, R. Morandotti, N. K. Efremidis, Z. Chen. Direct comparison of anti-diffracting optical pin beams and abruptly autofocusing beams. OSA Continuum, 3, 1525-1535(2020).
[61] J. A. Davis, D. M. Cottrell, J. Campos, M. J. Yzuel, I. Moreno. Encoding amplitude information onto phase-only filters. Appl. Opt., 38, 5004-5013(1999).
[62] L. Allen, M. J. Padgett, M. Babiker. The orbital angular momentum of light. Prog. Opt., 39, 291-372(1999).
[63] G. Chen, X. Huang, C. Xu, L. Huang, J. Xie, D. Deng. Propagation properties of autofocusing off-axis hollow vortex Gaussian beams in free space. Opt. Express, 27, 6357-6369(2019).
[64] Y. Harada, T. Asakura. Radiation forces on a dielectric sphere in the Rayleigh scattering regime. Opt. Commun., 124, 529-541(1996).
[65] Y. Roichman, B. Sun, Y. Roichman, J. Amato-Grill, D. G. Grier. Optical forces arising from phase gradients. Phys. Rev. Lett., 100, 013602(2008).
[66] J. Zhao, I. D. Chremmos, D. Song, D. N. Christodoulides, N. K. Efremidis, Z. Chen. Curved singular beams for three-dimensional particle manipulation. Sci. Rep., 5, 12086(2015).