摘要
基于拉盖尔-高斯模和厄米-高斯模之间相互转换的关系,将拉盖尔-高斯涡旋光束展开成多厄米-高斯子波束,给出了模式转换关系的强度分布图。采用惠更斯-菲涅尔原理,推导了非傍轴条件下多厄米-高斯子波束在真空中传输时接收面处的场分布表达式。采用数值分析方法对真空传输过程中不同传输距离和拓扑荷下的多厄米高斯子波束的强度和相位分布进行了分析。结果表明:在短距离传输范围内,多厄米-高斯子波束在主扇位区域具有高光强能量集中,可以用于精确的光学操控。随着传输距离的增大,子波束场的等相位线由直线变为平滑的弧线。在远距离传输时,非傍轴近似多厄米-高斯子波束的相位变化远远小于傍轴近似拉盖尔-高斯光束的相位分布。由此可见,非傍轴近似条件下多厄米-高斯子波束更适合远距离传输。所研究的结果可为高拓扑荷、宽发散角拉盖尔-高斯涡旋光束的传输提供理论基础。
In this paper,the Laguerre-Gaussian vortex beam is decomposed into multiple Hermite-Gaussian sub beams based on the interconversion relationship between the Laguerre-Gaussian and Hermite-Gaussian modes,and the intensity distribution of the mode conversion relationship is given.Then,using the Huygens-Fresnel principle,an expression for the field distribution at the receiving surface of multiple Hermite-Gaussian sub beams propagated in vacuum under non-parallel-axis conditions is derived.The intensity and phase distributions of multiple Hermite-Gaussian sub beams with different topological charges and distances during vacuum transmission are investigated using numerical analysis.The results show that the multiple Hermite-Gaussian sub beams have a high light intensity energy concentration in the main fan-site region in the short distance and it can be used for precise optical manipulation.The isophase line of the sub beams field changes from a straight line to a smooth arc as the propagation distance increases.For long-distance propagation,the phase variation of the non-parallel-axis approximation multiple Hermite-Gaussian sub beams is much smaller than the phase distribution of the parallel-axis approximation Laguerre-Gaussian beam.It can be seen that the non-parallel-axis approximation condition of the multiple Hermite-Gaussian sub beams is more suitable for long-distance transmission.The results in this paper can provide a theoretical basis for the propagation of Laguerre-Gaussian vortex beams with high topological charge and wide divergence angle.
作者
罗佳雯
李亚清
任雨航
张晨
LUO Jia-wen;LI Ya-qing;REN Yu-hang;ZHANG Chen(School ofOptoelectronic Engineering,Xi'an Technological University,Xi'an 710021,China)
出处
《光学与光电技术》
2024年第2期107-113,共7页
Optics & Optoelectronic Technology
基金
国家自然科学基金(61805190)资助项目。
