[1] [1] BERRY M V, BALAZS N L. Nonspreading wave packets ［J］. American Journal of Physics, 1979, 47(3): 264-267.

[2] [2] SIVILOGLOU G A, CHRISTODOULIDES D N. Accelerating finite energy Airy beams ［J］. Optics Letters, 2007, 32(8):979-980.

[3] [3] SIVILOGLOU G A, BROKY J, DOGARIU A, et al. Observation of accelerating Airy beams ［J］. Physical Review Letters, 2007, 99:213901.

[4] [4] YUE Y Y, XIAO H, WANG Z X, et al. Research on diffraction and self-acceleration of Airy beam ［J］. Acta Physica Sinica, 2013, 62(4):044205(in Chinese).

[5] [5] KE X Zh, WANG S. Evolution of the intensity of partially coherent Airy beam in atmospheric turbulence ［J］. Acta Photonica Sinica, 2017, 46(7):0701001(in Chinese).

[6] [6] WANG S. Evolution of the intensity and experimental study of partially coherent Airy beam in atmospheric turbulence ［D］. Xi’an: Xi’an University of Technology, 2017:5-8(in Chinese).

[7] [7] QIAN Y X, MAO H X. Generation and propagation characteristics of generalized Airy beams with tunable trajectories ［J］. Acta Photonica Sinica, 2018, 47(2):0226001(in Chinese).

[8] [8] JIN L,ZHANG X Q. Characteristics of Airy beam propagating in circular periodic media ［J］. Laser Technology, 2019, 43(3):432-436(in Chinese).

[9] [9] CHENG Zh, CHU X Ch, ZHAO Sh H, et al. Study of the drift cha-racteristics of Airy vortex beam in atmospheric turbulence ［J］. Chin-ese Journal of Lasers, 2015, 42(12):1213002(in Chinese).

[10] [10] LIU X Y, ZHAO D. Propagation of a vortex Airy beam in chiral medium ［J］.Optics Communications, 2014, 321:6-10.

[11] [11] DENG D, CHEN C, ZHAO X, et al. Propagation of an Airy vortex beam in uniaxial crystals［J］.Applied Physics,2013,B110(3):433-436.

[12] [12] CHEN R, ZHONG L, WU Q, et al. Propagation properties and M2 factors of a vortex Airy beam ［J］. Optics & Laser Technology, 2012, 44(7):2015-2019.

[13] [13] GAO J Q, ZHOU Zh L, XU H F, et al. Modal intensity of partially coherent Airy vortex beams in non-Kolmogorov turbulence ［J］. Laser Technology, 2021, 45(4):522-529(in Chinese).

[14] [14] VESELAGO V G. The electrodynamics of substances with simulta-neously negative values of ε and μ ［J］. Soviet Physics Uspekhi, 1968, 10(4):509-514.

[15] [15] XU S D, FENG Y X. Study on propagation properties of Airy beams through negative index medium ［J］. Acta Photonica Sinica, 2015,44(2):0208002(in Chinese).

[16] [16] XU S D,XU B J. Study on propagation properties of Gaussian schell-model beams in negative index medium ［J］. Laser Technology, 2014, 38(5):595-598(in Chinese).

[17] [17] FALCONE F, LOPETEGI T, LASO M A G, et al. Babinet principle applied to the design of metasurfaces and metamaterials ［J］. Physical Review Letters, 2004, 93(19): 197401.

[18] [18] PIMENOV A, LOIDL A, GEHRKE K, et al. Negative refraction observed in a metallic ferromagnet in the gigahertz frequency range ［J］. Physical Review Letters, 2007, 98(19): 197401.

[19] [19] RACHFORD F J, ARMSTEAD D N, HARRIS V G, et al. Simulations of ferrite-dielectric-wire composite negative index materials［J］. Physical Review Letters, 2007, 99(5): 057202.

[20] [20] PARIMI P V, LU W T, VODO P, et al. Negative refraction and left-handed electromagnetism in microwave photonic crystals ［J］. Physical Review Letters, 2004, 92(12): 127401.

[21] [21] CHEN J, WANG Y, JIA B, et al. Observation of the inverse Doppler effect in negative-index materials at optical frequencies ［J］. Nature Photonics, 2011, 5(4): 239-242.

[22] [22] PENDRY J B. Negative refraction makes a perfect lens ［J］. Physical Review Letters, 2000, 85(18): 3966-3969.

[23] [23] SEDDON N, BEARPARK T. Observation of the inverse Doppler effect ［J］. Science, 2003, 302(5650):1537-1540.

[24] [24] LIU X Y. Studies on propagation and optical trapping of non-Gaussian correlated partially coherent beams［D］.Hangzhou: Zhejiang University, 2016:66-73(in Chinese).

[25] [25] HUA S.Research on the propagation properties of several types of the airy beams ［D］.Nanjing: Nanjing University of Aeronautics and Astronautics,2017:27-33(in Chinese).

[26] [26] DAI H T, LIU Y J, LUO D, et al. Propagation properties of an optical vortex carried by an Airy beam: Experimental implementation ［J］. Optics Letters,2011,36(9): 1617-1619.