In our study, an analytical expression of the second order chirped Pearcey Gaussian vortex beam (CPGVB) in a medium with a parabolic refractive index is derived. We demonstrate its propagation behaviors as well as the effects of the parameters on the propagation properties. Expectedly, the CPGVB performs periodically automatic Fourier transform in the specific positions, but unexpectedly the off-axis autofocusing position can be generated and controlled without changing the laser incident angle. Furthermore, we investigate the radiation forces of the CPGVB, and thus notice that trapping positions form in the beam-propagation direction.

中文翻译：

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ear形的高斯涡旋光束在抛物线折射率介质中的传播特性和辐射力。

在我们的研究中，推导了具有抛物线折射率的介质中二阶chi皮斯高斯涡旋光束（CPGVB）的解析表达式。我们演示了其传播行为以及参数对传播属性的影响。期望地，CPGVB在特定位置执行周期性的自动傅里叶变换，但是出乎意料的是，可以在不改变激光入射角的情况下生成并控制离轴自动聚焦位置。此外，我们研究了CPGVB的辐射力，因此注意到在束传播方向上形成了捕获位置。