In this paper, generalized ring Pearcey beams are proposed theoretically and their corresponding generation is demonstrated experimentally by use of the double-phase method. Generalized ring Pearcey beams evolve into circular or elliptical ring Pearcey beams, depending on the elliptical parameter. It is shown that the autofocusing properties of such beams can be effectively controlled by adjusting the elliptical parameter and the spatial distribution factor. To perform a more comprehensive investigation, the radially polarized forms of the beams are also realized in experiments. It is found that for both cases of vector and scalar, the peak intensity of the beams at the autofocusing plane undergo a dramatic increase as compared with that at the initial plane. Finally, by taking optical trapping as an example, it is proved that generalized ring Pearcey beams could be a productive instrument for industrial applications.

中文翻译：

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具有可调自动聚焦特性的广义环皮尔西光束

本文从理论上提出了广义环 Pearcey 梁，并通过双相法实验证明了它们的相应生成。广义的环形 Pearcey 光束根据椭圆参数演变为圆形或椭圆形的环形 Pearcey 光束。结果表明，通过调整椭圆参数和空间分布因子可以有效控制此类光束的自动聚焦特性。为了进行更全面的研究，还在实验中实现了光束的径向偏振形式。发现对于矢量和标量两种情况，与初始平面相比，自动聚焦平面上光束的峰值强度都有显着增加。最后，以光阱为例，