阵列艾里光束通过梯度折射率介质的光强演变特性

Evolution of Finite Array Airy Beams in Gradient Refractive Index Medium

摘要:

利用光学传递矩阵和广义惠更斯-菲涅耳积分衍射公式,研究了阵列艾里光束在梯度折射率介质中的演化规律。首先,导出了傍轴近似下,空间域内艾里和阵列艾里光束通过光学系统的传输方程。然后,分析了入射阵列艾里光束的二维光强随指数截断因子和光波束腰半径的变化规律。在此基础上,讨论了阵列艾里光束在梯度折射率介质部分横截面上的光强特征和光波传输的周期性特点,并与单艾里光束的传输规律进行了对比。因为大气的随机抖动和渐变折射率光纤都可以抽象为梯度折射率模型,所以相关结论对阵列光束的传输与通信有一定的理论意义。

Abstract:

The evolution of finite array Airy beams (FAAB) propagating in gradient refractive index medium (GRIM) is investigated based on light transfer matrix and generalized Huygens-Fresnel integral equation. Firstly, the general propagation formulae of the Airy beam and FAAB passing through the paraxial optical system are calculated in space domain, respectively. Then the incident FAAB intensity profiles changed with exponential truncation and beam wrist size factors are discussed. The intensity characteristics and the periodicity of the transmission of the FAAB on several cross-sections of the GRIM are researched. The propagation behavioral differences between two kinds of beams are compared. The results are of theoretical significance to the transmission and communication of the array beams, because both the atmospheric random dither and graded index optical fibers can be abstracted as gradient index models.