# Pattern revivals from fractional Gouy phases in structured light

## TL;DR

This paper explores how specific optical structures can synchronize Gouy phases at fractional values to recover initial light patterns during propagation, enabling advanced control in optical applications.

## Contribution

It introduces a method to design optical structures that achieve pattern revival through fractional Gouy phase synchronization, enhancing structured light manipulation.

## Key findings

- Pattern revivals occur at specific propagation distances.
- Gouy phase synchronization enables pattern recovery without additional components.
- Potential applications in optical communications and tweezing.

## Abstract

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 non synchronized 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, what can be useful for optical communications and optical tweezing with structured beams.