[1] DURNIN J. Exact solutions for nondiffracting beams. I. The scalar theory[J]. Journal of the Optical Society of America A, 1987, 4(4): 651-654.
[2] SIVILOGLOU G A, CHRISTODOULIDES D N. Accelerating finite energy Airy beams[J]. Optics Letters, 2007, 32(8): 979-981.
[3] SIVILOGLOU G A, BROKY J, DOGARIU A, et al. Observation of accelerating Airy beams[J]. Physical Review Letters, 2007, 99(21): 213901.
[4] SIVILOGLOU G A, BROKY J, DOGARIU A, et al. Ballistic dynamics of Airy beams[J]. Optics Letters, 2008, 33(3): 207-209.
[5] BROKY J, SIVILOGLOU G A, DOGARIU A, et al. Self-healing properties of optical Airy beams[J]. Optics Express, 2008, 16(17): 12880-12891.
[6] BAUMGARTL J, MAZILU M, DHOLAKIA K. Optically mediated particle clearing using Airy wavepackets[J]. Nature Photonics, 2008, 2(11): 675-678.
[7] CHENG H, ZANG W, ZHOU W, et al. Analysis of optical trapping and propulsion of Rayleigh particles using Airy beam[J]. Optics Express, 2010, 18(19): 20384-20394.
[8] ZHENG Z, ZHANG B F, CHEN H, et al. Optical trapping with focused Airy beams[J]. Applied Optics, 2011, 50(1): 7040-7045.
[9] HAN D, LIU C, LAI X. The fractional Fourier transform of Airy beams using Lohmann and quadratic optical systems[J]. Optics and Laser Technology, 2012, 44(5): 1463-1467.
[10] DENNIS M R, HOLLERAN K O, PADGETT M J. Singular optics: optical vortices and polarization singularities[J]. Progress in Optics. 2009, 53: 293-363.
[12] YANG Y, DONG Y, ZHAO C, et al. Generation and propagation of an anomalous vortex beam[J]. Optics Letters, 2013, 38(24): 5418-5421.
[13] DAI H, LIU Y, LUO D, SUN X. Propagation dynamics of an optical vortex imposed on an Airy beam[J]. Optics Letters, 2010, 35(23): 4075-4077.
[14] DENG D, CHEN C, ZHAO X. Propagation of an Airy vortex beam in uniaxial crystals[J]. Applied Physics B, 2013, 110(3): 433-436.
[15] BANDRES M A, GUTIRREZ-VEGA J C. Airy-Gauss beams and their transformation by paraxial optical systems[J]. Optics Express, 2007, 15(25): 16719-16728.
[18] NOVITSKY A V, NOVITSKY D V. Nonparaxial Airy beams: role of evanescent waves[J]. Optics Letters, 2009, 34(21): 3430-3432.
[19] SZTUL H I, ALFANO R R. The Poynting vector and angular momentum of Airy beams[J]. Optics Express, 2008, 16(13): 9411-9416.
[20] JI X, EYYUBOLU H T, JI G, et al. Propagation of an Airy beam through the atmosphere[J]. Optics Express, 2013, 21(2): 2154-2164.
[21] MCMULLIN J N. The ABCD matrix in arbitrarily tapered quadratic-index waveguides[J]. Applied Optics, 1986, 25(13): 2184-2187.
[22] MORRIS J E, MAZILU M, BAUMGARTL J, et al. Propagation characteristics of Airy beams: dependence upon spatial coherence and wavelength[J]. Optics Express, 2009, 17(15): 13236-13245.