ABSTRACT We investigate the propagation of the first-order chirped Airy vortex (FCAiV) beams in a quadratic index media analytically by applying the Huygen-Fresnel integral. The intensity, the phase, the energy flow density, and the angular momentum density are investigated for different chirped parameters, decay factors and parameters related to the gradient refractive index. There is an inversion of the self-acceleration of the FCAiV beams during the propagation. The FCAiV beams propagating in the quadratic index media hold a periodic evolution. The focusing intensity, the intensity distribution, the centre of mass of the FCAiV beams can be controlled by choosing different parameters.

中文翻译：

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在二次指数介质中传播的一阶啁啾艾里涡旋光束的近轴传播

摘要我们通过应用惠更斯-菲涅耳积分分析研究了二次指数介质中一阶啁啾艾里涡旋 (FCAiV) 光束的传播。研究了不同啁啾参数、衰减因子和与梯度折射率相关的参数的强度、相位、能量流密度和角动量密度。在传播过程中，FCAiV 光束的自加速会发生反转。在二次折射率介质中传播的 FCAiV 光束具有周期性演变。FCAiV 光束的聚焦强度、强度分布、质心可以通过选择不同的参数来控制。