The Airy transform was first introduced for a Gaussian beam, and the output beam is an Airy beam. When the Gaussian beam is extended to the Gaussian beam with optical vortex, what kind of output beam will be achieved by executing the Airy transformation. Therefore, the experimental research on Airy transformation of a Gaussian beam with optical vortex is carried out, including the generation of Gaussian beams with optical vortex, the realization of Airy transform, and the related measurements of the output beams. The phase pattern is indirect measured and is recovered from the intensity pattern which is the interference result of a plane wave and the output beam. The experimental measurement results of the light intensity and the phase patterns of transformed Gaussian beams with the optical vortex are consistent with the corresponding numerical simulation results. Based on the first and the second moments of light intensity, the centroid and the beam size are measured. According to the hyperbolic law of the beam width along the axial propagation distance, the propagation factor of the output beam is measured. The influences of the Airy coefficients and the topological charge on the intensity pattern, the phase pattern, the centroid, the beam size, and the propagation factor of transformed Gaussian beams with optical vortex are experimentally investigated, respectively. The intensity pattern, the phase pattern, the centroid, the beam size, and the propagation factor of a transformed Gaussian beam with optical vortex are also compared with those of the corresponding transformed Gaussian vortex beam. This experiment fully proves the effect of the optical vortex on the Airy transformation of Gaussian beams. Meanwhile, this study offers an optional method to generate Airy-like beams from Gaussian beams with optical vortex, which is beneficial to the applications of Gaussian beams with optical vortex.

艾里变换首先是针对高斯光束引入的，输出光束是艾里光束。当高斯光束扩展为带有光学涡旋的高斯光束时，通过执行艾里变换会得到什么样的输出光束。为此，开展了光学涡旋高斯光束艾里变换的实验研究，包括光学涡旋高斯光束的产生、艾里变换的实现以​​及输出光束的相关测量。相位模式是间接测量的，并且是从强度模式中恢复的，该强度模式是平面波和输出光束的干涉结果。具有光学涡旋的变换高斯光束的光强和相位模式的实验测量结果与相应的数值模拟结果一致。基于光强的一阶和二阶矩，测量质心和光束尺寸。根据光束宽度沿轴向传播距离的双曲线定律，测量输出光束的传播因子。分别实验研究了艾里系数和拓扑电荷对具有光学涡旋的变换高斯光束的强度模式、相位模式、质心、光束尺寸和传播因子的影响。强度模式、相位模式、质心、光束大小、并且将具有光学涡旋的变换高斯光束的传播因子与对应的变换高斯涡旋光束的传播因子进行比较。本实验充分证明了光学涡旋对高斯光束艾里变换的影响。同时，本研究提供了一种可选的方法，可以从具有光学涡旋的高斯光束中生成类艾里光束，这有利于具有光学涡旋的高斯光束的应用。