ABSTRACT Based on the analytical expression of the spatiotemporal collinear self-decelerating Airy Elegant–Laguerre–Gaussian (AiELG) wave packets by solving the (3+1)D free-space Schrödinger equation, we have investigated the collinear self-decelerating AiELG propagation properties in detail. Analysis results show that the different spatiotemporal profiles can be accessed by selecting a different mode number or relative amplitude. The spatiotemporal profiles will rotate if the mode parameter or mode number in the propagation. The wave packets will also rotate when the relative phase are varied. The direction of the energy flow of collinear wave packets is in helical clockwise distribution if mode number or mode parameter A>0, otherwise, the direction is in helical anticlockwise distribution if mode number or mode parameter A<0, which is the reason of rotation of the wave packets during propagation. The spatiotemporal hollow self-decelerating AiELG wave packets are accessed with .

中文翻译：

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自由空间共线自减速 Airy-Elegant-Laguerre-Gaussian 波包的传播特性

摘要 基于时空共线自减速 Airy Elegant-Laguerre-Gaussian (AiELG) 波包的解析表达式，通过求解 (3+1)D 自由空间薛定谔方程，我们研究了共线自减速 AiELG 传播特性详细。分析结果表明，可以通过选择不同的模式数或相对幅度来访问不同的时空剖面。如果传播中的模式参数或模式编号，时空分布将旋转。当相对相位改变时，波包也将旋转。如果模式数或模式参数A>0，则共线波包的能量流方向呈螺旋顺时针分布，否则，如果模式数或模式参数A<0，则方向呈螺旋逆时针分布，这就是传播过程中波包旋转的原因。时空空心自减速 AiELG 波包通过 访问。