[1] Siviloglou G A, Christodoulides D N. Accelerating finite energy Airy beams[J]. Optics Letters, 32, 979-981(2007).

[2] Siviloglou G A, Broky J, Dogariu A et al. Observation of accelerating Airy beams[J]. Physical Review Letters, 99, 213901(2007).

[3] Broky J, Siviloglou G A, Dogariu A et al. Self-healing properties of optical Airy beams[J]. Optics Express, 16, 12880-12891(2008).

[4] Li Y, Chu X C, Tang H L et al. Propagation and evolution characteristics of finite energy Airy beams[J]. Laser & Optoelectronics Progress, 59, 1326001(2022).

[5] Cheng H, Zang W P, Tian J G. Study on optical trapping and propulsion of small particles by Airy beam[J]. Acta Optica Sinica, 31, s100405(2011).

[6] Zhang Z, Zhang P, Mills M et al. Trapping aerosols with optical bottle arrays generated through a superposition of multiple Airy beams[J]. Chinese Optics Letters, 11, 033502(2013).

[7] Jia S, Vaughan J C, Zhuang X W. Isotropic three-dimensional super-resolution imaging with a self-bending point spread function[J]. Nature Photonics, 8, 302-306(2014).

[8] Zhang P, Wang S, Liu Y M et al. Plasmonic Airy beams with dynamically controlled trajectories[J]. Optics Letters, 36, 3191-3193(2011).

[9] Götte N, Winkler T, Meinl T et al. Temporal Airy pulses for controlled high aspect ratio nanomachining of dielectrics[J]. Optica, 3, 389-395(2016).

[10] Zhou Z Y, Yuan X H, Zhou F. Annular Airy amplitude regulation and its optimization for turbulence propagation characteristics[J]. Acta Optica Sinica, 42, 2026002(2022).

[11] Yan Q Y, Wang G X, Li Z Y et al. Influence of geometric phase modulation parameters on Airy beams[J]. Acta Optica Sinica, 42, 1405006(2022).

[12] Hu Y, Sun Z, Bongiovanni D et al. Reshaping the trajectory and spectrum of nonlinear Airy beams[J]. Optics Letters, 37, 3201-3203(2012).

[13] Chen R P, Yin C F, Chu X X et al. Effect of Kerr nonlinearity on an Airy beam[J]. Physical Review A, 82, 043832(2010).

[14] Ji X L, Eyyuboğlu H T, Ji G M et al. Propagation of an Airy beam through the atmosphere[J]. Optics Express, 21, 2154-2164(2013).

[15] Campbell J W. Project Orion: orbital debris removal using ground-based sensors and lasers[EB/OL]. https:∥ntrl.ntis.gov/NTRL/dashboard/searchResults/titleDetail/N19960054373.xhtml

[16] Rubenchik A M, Fedoruk M P, Turitsyn S K. The effect of self-focusing on laser space-debris cleaning[J]. Light: Science & Applications, 3, e159(2014).

[17] Vaseva I A, Fedoruk M P, Rubenchik A M et al. Light self-focusing in the atmosphere: thin window model[J]. Scientific Reports, 6, 30697(2016).

[18] Rubenchik A M, Vaseva I A, Fedoruk M P et al. Laser space debris cleaning: elimination of detrimental self-focusing effects[J]. Optical Engineering, 58, 011003(2018).

[19] Zhang Y Q, Ji X L, Zhang H et al. Self-focusing and group-velocity dispersion of pulsed laser beams in the inhomogeneous atmosphere[J]. Optics Express, 26, 14617-14625(2018).

[20] Deng Y, Ji X L, Yu H et al. Uniform irradiation generated by beam self-focusing in the inhomogeneous atmosphere[J]. Optics Express, 27, 14585-14593(2019).

[21] Hang Z Y, Ji X L, Deng Y et al. Optimal power of laser beams propagating from the ground through the atmosphere to space orbits[J]. Optics Communications, 498, 127210(2021).

[22] Li Q, Li T, Hu J et al. Influence of quasi-steady-state self-focusing effect in inhomogeneous atmosphere on beam quality at target surface[J]. Acta Optica Sinica, 43, 1201005(2023).

[23] Wang L, Ji X L, Deng Y et al. Self-focusing effect on the characteristics of Airy beams[J]. Optics Communications, 441, 190-194(2019).

[24] Chu X X. Evolution of an Airy beam in turbulence[J]. Optics Letters, 36, 2701-2703(2011).

[25] Wu Y L, Nie J S, Shao L. Complete solutions of finite Airy beams in free space and graded index media with Fourier analysis[J]. Optik, 138, 377-389(2017).

[26] Agrawal G P[M]. Nonlinear fiber optics(1995).

[27] Zhang F Z. Non-adaptive transformation to calculate the propagation of the focused laser beams[J]. Chinese Journal of Quantum Electronics, 20, 656-660(2003).

[28] Phipps C R, Baker K L, Libby S B et al. Removing orbital debris with lasers[J]. Advances in Space Research, 49, 1283-1300(2012).

[29] Papazoglou D G, Suntsov S, Abdollahpour D et al. Tunable intense Airy beams and tailored femtosecond laser filaments[J]. Physical Review A, 81, 061807(2010).

[30] Acebal P, Carretero L, Blaya S et al. Generation of high-quality tunable one-dimensional airy beams using the aberrations of a single lens[J]. IEEE Photonics Journal, 4, 1273-1280(2012).

[31] Rubenchik A M, Turitsyn S K, Fedoruk M P. Modulation instability in high power laser amplifiers[J]. Optics Express, 18, 1380-1388(2010).

[32] Chekalin S V, Kandidov V P. From self-focusing light beams to femtosecond laser pulse filamentation[J]. Physics-Uspekhi, 56, 123-140(2013).

[33] Zhang G, Deng Y, Ji X L. Hard-aperture effect on self-focusing of high-power laser beams propagating in the atmosphere[J]. Journal of the Optical Society of America A, 38, 1270-1275(2021).