涡旋光束经杨氏双缝干涉后的光谱变化

Spectral anomalies of Young's double-slit interference experiment with vortex beam

从完全相干光的传输定理出发,研究了完全相干涡旋光照射在双缝上,干涉场中的光谱变化。研究结果表明,和普通的完全相干光(平面波)经双缝干涉的光谱变化相比较,涡旋光束的光谱变化情况显得更加丰富。研究了相对平均频率的变化,发现相对平均频率将随着源光谱的宽度,拓扑荷数以及观察点位置的变化而变化。给出了对应于不同拓扑荷数,一个固定观察面的相对平均频率的分布情况。

Based on the propagation law of completely coherent lights, the spectral changes in Young＇s double-slit interference experiment when illuminated with vortex beam are investigated. It is found that, comparing with the spectral changes as the plane waves incident on the two slits, the spectral changes are more complicated when the two slits are illuminated by vortex beam. The change of the relative mean frequency is investigated. It is shown that the relative mean frequency depends on the width of the source spectrum, the topological charge of the vortex beam, and the location of the observation point. Furthermore, the distributions of the relative mean frequency in a fixed plane for different topological charges are presented as well.