基于维格纳函数的非傍轴自加速阵列光束设计

Design of Non-Paraxial Accelerating Array Beams Based on Wigner Function

提出了一种可调谐非傍轴自加速光束产生方法,该方法可以使光束在不需要傍轴近似的情况下沿任意凸轨迹传播。利用维格纳函数和焦散线原理,导出了傅里叶空间振幅相位和自加速传播轨迹之间的显式表达式。通过设计傅里叶空间的初始角谱产生了具有自聚焦特性的非傍轴自加速阵列光束,分析了光束数量、阵列半径和光束参数大小等对焦点位置和自聚焦性能的影响。结果表明,该方法产生的自聚焦光束突破了傍轴近似限制,且光束轨迹和调控方式更加灵活高效。

A tunable non-paraxial accelerating beam generation method is proposed,which can make the beam propagate along arbitrary convex trajectories without paraxial approximation.The explicit expression between amplitude phase in Fourier space and accelerating propagation trajectory is derived by using the Wigner function and the caustics principle.Moreover,a non-paraxial accelerating array beam with self-focusing properties is generated by designing the initial angular spectra of the Fourier space.The influences of beam number,array radius,and beam parameter size on focus position and autofocus performance are analyzed.The results show that the self-focusing array beam generated by this method breaks through the limit of paraxial approximation,and the beam trajectory and control method are more flexible and efficient.