艾里光束的远场特性及其演化规律

Propagation characteristics in the far-field and evolution regular of Airy beam

从艾里光束的理论基础出发,详细研究了艾里光束的远场传输特性,包括场强分布、光斑直径和桶中功率(Power in the Bucket,PIB)的演化过程。探讨了场强分布随截断因子a和任意横向刻度x0的变化规律,以及a和x0对艾里光束保持无衍射性质传输的距离(Distance with Keeping Nondiffraction,DKNd)、演化成类高斯分布的距离(Distance in which the Evolution became similar Guassian,DEG)和自弯曲程度(Self-bending Degree,Sb D)的影响。研究发现:场强分布在演化成类高斯分布过程中,DKNd、DEG和Sb D都随着x0的增大而增大,DKNd和DEG随a的增大而减小,a对Sb D无影响。研究了艾里光束的光斑直径和PIB的演化规律,发现在a值不同的情况下,在传输过程中光斑直径先保持不变后增加,PIB先减小后增大,最终等于0.76。

The propagation characteristics of Airy beam in the far-field were detailly studied, which start with the theoretical foundation, including the evolution process of intensity distribution, spot diameter and Power in the Bucket （PIB）. The change regular of intensity distribution was investigated with the truncation factor a and the arbitrary scale in the transverse x0 and how do a and Xo influence the propagation Distance with Keeping Non-diffraction （DKNd）, the Distance in which the Evolution became similar Guassian（DEG） and Self-bending Degree（SbD）. The research shows that in the evolution process of intensity distribution which transforms into similar Guassian, the DKNd, DEG and SbD increase with the increase of Xo, the DKNd and DEG decrease with the increase of a and a has no effect on SbD. The evolution regular of spot diameter and PIB was also researched. The research shows that the spot diameter fistly remain unchanged and then increases, PIB firstly decreases, then increases and is 0.76 finally in the propagation progress under different values of a.