We investigate pattern revivals in specially designed optical structures that combine different transverse modes. In general, the resulting pattern is not preserved under free propagation and gets transformed due to nonsynchronized Gouy phases. However, it is possible to build structures in which the Gouy phases synchronize at specific fractional values, thus recovering the initial pattern at the corresponding longitudinal positions. This effect is illustrated with a radially structured light spot in which the beam energy can be addressed to different positions without the need of intermediate optical components, which can be useful for optical communications and optical tweezing with structured beams.

中文翻译：

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结构光中分数古伊相的图案复兴。

我们研究结合了不同横向模式的特殊设计光学结构中的图案复兴。通常，由于不同步的Gouy相位，所得的模式在自由传播下不会保留，而是会被转换。但是，可以构建其中Gouy相在特定分数值下同步的结构，从而在相应的纵向位置恢复初始模式。用径向结构化的光点说明了这种效果，其中不需要中间光学组件即可将光束能量分配到不同的位置，这对于使用结构化光束进行光通信和光学钳制很有用。