J Opt Soc Am A Opt Image Sci Vis. 2023 Apr 1;40(4):782-791. doi: 10.1364/JOSAA.479887.
Laguerre-Gaussian (LG) beams are characterized by an azimuthal index or topological charge (), associated with the orbital angular momentum, and by a radial index (), which represents the number of the rings in the intensity distribution. We present a detailed, systematic study of the first-order phase statistics of the speckle fields created when LG beams of different order interact with random phase screens with different optical roughness. The phase properties of the LG speckle fields are studied in both the Fresnel and the Fraunhofer regimes using the equiprobability density ellipse formalism such that analytical expressions can be derived for the phase statistics.
拉盖尔-高斯（LG）光束的特点是具有角向指数或拓扑电荷（），与轨道角动量有关，以及径向指数（），表示强度分布中环的数量。我们对不同阶 LG 光束与不同光学粗糙度的随机相位屏相互作用时产生的散斑场的一阶相位统计进行了详细的系统研究。使用等概率密度椭圆形式对 Fresnel 和 Fraunhofer 两种情况下的 LG 散斑场的相位特性进行了研究，从而可以推导出相位统计的解析表达式。
