We present an algorithm for designing and manipulating pulsed caustic (accelerating) beams that propagate along a predefined planar curved beam-axis trajectory in free space. These pulsed beams are localized time-dependent wave packets. We evaluate the pulsed aperture field (source) distribution that radiates the beam along the desired trajectory. The aperture field is evaluated by setting its delay to form the caustic surface about the beam-axis skeleton and to control the lateral beamwidth, and the amplitude is chosen to form a uniform intensity profile of the beam along its axis. Numerical examples are included.

中文翻译：

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脉冲三维平面苛性光束

我们提出了一种算法，用于设计和处理沿自由空间中的预定义平面弯曲光束轴轨迹传播的苛性（加速）脉冲光束。这些脉冲束是局部时间相关的波包。我们评估沿期望轨迹辐射光束的脉冲孔径场（源）分布。通过设置其延迟来评估光圈场，以形成围绕光束轴骨架的苛性表面并控制横向光束宽度，并选择振幅以形成光束沿其轴的均匀强度分布。包括数值示例。