We propose and experimentally demonstrate the azimuthal Talbot effect on orbital angular momentum (OAM) beams. By applying predetermined phases to a number of OAM beams carrying different topological charges, the intensity petal is self-imaged in the azimuthal angle, with arbitrary azimuthal repetition-rate multiplication. The close analogy between temporal and azimuthal Talbot self-imaging is studied. In addition, the effect of amplitude apodization of the OAM spectrum on the resulting intensity pattern, and the azimuthal Talbot effect on Laguerre–Gaussian beams of the same radial indices, are experimentally investigated. All of our experimental images are in excellent agreement with simulation results.

中文翻译：

---

塔尔博特对轨道角动量束的影响：方位角强度重复率倍增

我们提出并通过实验证明了塔尔博特方位角对轨道角动量（OAM）光束的影响。通过将预定的相位应用于携带不同拓扑电荷的多个OAM光束，强度瓣可以在方位角上进行自成像，并具有任意方位角重复率倍增。研究了时间和方位塔尔伯特自成像之间的近似类比。此外，实验研究了OAM谱的变迹变迹对所得强度模式的影响，以及对相同径向指数的Laguerre-Gaussian光束的方位塔尔伯特效应的影响。我们所有的实验图像都与仿真结果非常吻合。