自加速类贝塞尔-厄米-高斯光束的理论和实验研究  

Theoretical and experimental study on self-accelerating Bessel-like Hermite-Gaussian beams

作　　者：赵娟莹[1] 邓冬梅[2] 张泽[3] 刘京郊[1] 姜东升[1] 

机构地区：[1]北京理工大学光电学院,北京100081 [2]华南师范大学 纳米光学材料和器件实验室,广州510631 [3]中国科学院光电研究院,北京100190

出　　处：《物理学报》2014年第4期159-166,共8页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(批准号:2013CB632703);国家自然科学基金(批准号:11374108,10904041);广东省优秀博士学位论文作者专项基金(批准号:SYBZZXM201227);国家留学基金资助的课题~~

摘　　要：空间相位调制一直是设计新型自加速光束的重要方法.参照类贝塞尔光束产生的思路,从理论上提出了一种新型的自加速无衍射类贝塞尔-厄米-高斯光束,并从数值模拟和实验两个方面研究此光束沿不同轨道的演化.理论上通过对厄米-高斯光束进行相位调制,产生了不同模式的自加速类贝塞尔-厄米-高斯光束.采用分步傅里叶算法模拟了(0,1),(1,0),(1,1)和(1,2)阶类贝塞尔-厄米-高斯光束沿预设轨道的传输过程.采用计算全息和空间光调制技术在实验中观察了类贝塞尔-厄米-高斯光束沿预设轨道的传输,例如抛物、双曲、双曲正割和三维轨道.实验观察与理论结果符合得很好.实验验证了不同阶类贝塞尔-厄米-高斯光束的奇特光斑结构,验证了光束的非衍射特性及传输轨道的可控性,且理论模拟验证了光束的自修复特性.作为此前研究的类贝塞尔光束的一般形式,本文所得到的光束可用于构造出更加新型实用的光束.Phase modulation is an important method of designing accelerating optical beams. In this paper, we present new self-accelerating non-diffracting Bessel-like Hermite-Gaussian beams based on our previous research on Bessel-like beams. The evolutions of the beams along different trajectories are studied numerically and experimentally. These beams are designed by modulating the phase of the initial Hermite-Gaussian beams. With the split-step beam propagation method, we show numerically that （0,1）, （1,0）, （1,1） and （1,2） modes of the Bessel-like Hermite-Gaussian beams can propagate along different predesigned trajectories. With the computer-generated hologram and spatial light modulator, we observe the propagating behaviors of the Bessel-like Hermite-Gaussian beams along different trajectories, including parabolic, hyperbolic, hyperbolic secant and 3D trajectories. Experimental results show good agreement with the theoretical prediction. It is also demonstrated that the peculiar profile of Bessel-like Hermite-Gaussian beams exhibits nondiffracting and self-healing properties propagating along the tunable trajectories. These beams generalize the concept of Bessel-like beams, suggesting that more exotic optical beams can be obtained.

关 键 词：类贝塞尔-厄米-高斯光束 空间光调制器 无衍射 自加速 

分 类 号：O572.211[理学—粒子物理与原子核物理]