中文摘要：

Airy光束是一种特殊的无衍射光束，不仅具有自恢复和无衍射性质，还具有其他无衍射光束不具备的自弯曲性质。研究了Airy光束的无衍射、自弯曲和自恢复的演化过程，讨论了不同衰减因子a和横向尺度x0对Airy光束三大特性的影响。研究结果表明：当横向尺度x0不变时，Airy光束的无衍射传播距离随着衰减因子a的增大而减小，衰减因子a对自弯曲没有任何影响，自恢复痊愈距离随着衰减因子a增大而减小。当衰减因子a不变时，无衍射传输距离、自弯曲的偏移量、自恢复痊愈距离都随着横向尺度x0的增大而增大。通过对比横向尺度x0和衰减因子a对Airy光束三大特性的影响，研究发现衰减因子a相比横向尺度x0对Airy光束三大特性的影响较小。

英文摘要：

Airy beam is a distinctive non-diffraction, which not only has properties of self -healing and non-diffraction, but also has the merit of self-bending that other non-diffraction beams do not have. The evolution of Airy beam＇s non-diffraction, self-bending and self-healing was researched. The influence of different decay factor a and scale in the transverse x0 on the three characteristics of Airy beam was discussed. The research shows that the non-diffracting propagation distance of Airy beam will decrease with the increase of decay factor a when the scale in the transverse x0 is constant, and the decay factor has no impact on self-bending. It also manifests that the recovery distance of self-bending will decrease with the increase of decay factor a. When the decay factor a is constant, the distance of non-diffracting transmission, the offset of the self-bending as well as the healing distance of self-healing increases in proportion to the scale in the transverse x0. By comparing the effects of scale in the transverse x0 and decay factor a on the three characteristics of Airy beam, it is found that the influence of decay factor a on the three properties of Airy beam is smaller than that of scale in the transverse x0.