[1] [1] SIVILOGLOU G A, BROKY J, DOGARIU A, et al. Observation of accelerating Airy beams［J］. Physical Review Letters, 2007, 99(21): 213901.

[2] [2] SIVILOGLOU G A, CHRISTODOULIDES D N. Accelerating finite energy Airy beams［J］. Optics Letters, 2007, 32(8): 979-981.

[3] [3] SIVILOGLOU G A, BROKY J, DOGARIU A, et al. Ballistic dynamics of Airy beams［J］. Optics Letters, 2008, 33(3): 207-209.

[4] [4] WANG X Y, TU J L, YU X, et al. Optimizing ballistic motion of partially coherent multiple Airy beams by quadratic and linear phases［J］. Annalen der Physik, 2021, 533(9): 2100165.

[5] [5] LI D H, BONGIOVANNI D, GOUTSOULAS M, et al. Direct comparison of anti-diffracting optical pin beams and abruptly autofocusing beams［J］. OSA Continuum, 2020, 3(6): 1525-1535.

[6] [6] ZHANG Z, LIANG X L, GOUTSOULAS M, et al. Robust propagation of pin-like optical beam through atmospheric turbulence［J］. APL Photonics, 2019, 4(7): 076103.

[7] [7] LIU X, XIA D N, MONFARED Y E, et al. Generation of novel partially coherent truncated Airy beams via Fourier phase processing［J］. Optics Express, 2020, 28(7): 9777-9785.

[8] [8] WANG Y F, JIANG Y F. Dual autofocusing circular Airy beams with different initial launch angles［J］. Journal of Quantitative Spectroscopy and Radiative Transfer, 2022, 278: 108010.

[9] [9] EFREMIDIS N K, CHEN Z G, MORDECHAI S, et al. Airy beams and accelerating waves: An overview of recent advances［J］. Optica, 2019, 6(5): 686-701.

[10] [10] ZHANG Y K, GUO M J, LI J H, et al. Propagation characteristics of twisted multi-Gaussian beams in gradient index fibers［J］. Laser Technology, 2022, 46(5): 594-600 (in Chinese).

[11] [11] WANG Q Zh, TIAN K J, XIA X P. Beam distortion regulation in Gaussian lasercircular aperture diffraction［J］. Journal of Applied Optics, 2022, 43(1): 119-123(in Chinese).

[12] [12] EFREMIDIS N K, CHRISTODOULIDES D N. Abruptly autofocusing waves［J］. Optics Letters, 2010, 35(23): 4045-4047.

[13] [13] PAPAZOGLOU D G, EFREMIDIS N K, CHRISTODOULIDES D N, et al. Observation of abruptly autofocusing waves［J］. Optics Letters, 2011, 36(10): 1842-1844.

[14] [14] ZHANG Z, LIU J J, ZHANG P, et al. Generation of autofocusing beams with multi-Airy beams［J］. Acta Physica Sinica, 2013, 62(3): 034209 (in Chinese).

[15] [15] HU Y, ZHANG P, LOU C B, et al. Optimal control of the ballistic motion of Airy beams［J］. Optics Letters, 2010, 35(13)：2260-2262.

[16] [16] CHEN C Y, YANG H M, KAVEHRAD M, et al. Propagation of radial Airy array beams through atmospheric turbulence［J］. Optics and Lasers in Engineering, 2014, 52(1): 106-114.

[17] [17] EZ-ZARIY L, HRICHA Z, BELAFHAL A. Novel finite Airy array beams generated from Gaussian array beams illuminating an optical Airy transform system［J］. Progress in Electromagnetics Research, 2016, M49: 41-50.

[18] [18] WU P F, KE X Zh, SONG Q Q. Realization of experiment on auto-focusing array Airy beam［J］. Chinese Journal of Lasers, 2018, 45(6): 0605002 (in Chinese).

[19] [19] DAFNE A, SCAR M, PABLO V. Abruptly autofocusing beams from phase perturbations having forced symmetry［J］. Optics Letters, 2019, 44(15): 3733-3736.

[20] [20] XU D L, LIU Y J, MO Z W, et al. Shaping autofocusing Airy beams through the modification of Fourier spectrum［J］. Optics Express, 2022, 30(1)：232-242.

[21] [21] WANG L, JI X L, LI X Q, et al. Focusing and self-healing characteristics of Airy array beams propagating in self-focusing media［J］. Applied Physics, 2019, B125(9): 165.

[22] [22] LU Q. Generation of Airy beam arrays based on a LCOS device and research on their scintillation characteristics［D］. Changchun: Changchun Institute of Optics, Fine Mechanicsand Physics, Chinese Academy of Sciences, 2017: 35-47(in Chinese).

[23] [23] SHI Y Y, WU T, LIU Y W, et al. Control of self-bending Airy beams［J］. Acta Photonica Sinica, 2013, 42(12):1401-1407(in Chinese).

[24] [24] JIANG N, LI X Y, NIU Ch H, et al. Experimental study on the influence of atmospheric turbulence on laser spatial transmission characteristics［J］. Laser Technology, 2022, 46(5): 708-712(in Chinese).

[25] [25] ZHENG Ch H, WANG T Sh, LIU Zh Q, et al. Deep transfer learning method to identify orbital angular momentum beams［J］. Opto-Electronic Engineering, 2022, 49(6): 210409 (in Chinese).

[26] [26] WANG X. Research on self-focusing characteristics of Airy beam［D］. Hangzhou: Zhejiang A & F University, 2022: 51-57(in Chinese).

[27] [27] CHEN M. Numerical analysis of the influence of non-Kolmogorov turbulence on laser propagation in atmosphere［D］. Changsha: National University of Defense Technology, 2017: 12-17(in Chinese).