# Angular-spectrum-based analysis on the self-healing effect of Laguerre-Gaussian beams after an obstacle

## TL;DR

This paper investigates the self-healing properties of Laguerre-Gaussian beams after encountering obstacles, using angular spectrum theory to analyze limits and dependencies, with implications for optical communication and sensing.

## Contribution

It introduces an angular spectrum-based method to analyze the self-healing limits of Laguerre-Gaussian beams against obstacles, including on-axis and off-axis scenarios.

## Key findings

- Self-healing is effective when obstacles are on-axis with moderate size.
- The self-healing limit depends on the obstacle's radius and position.
- Results suggest potential applications in optical communication and remote sensing.

## Abstract

Self-healing, as an exotic effect, has showed many potential applications. In this paper, we focus on the self-healing effect of Laguerre-Gaussian beams after an obstacle. By taking advantage of angular spectrum theory, we study self-healing limit of the beam against on-axis obstacle. The dependence of self-healing capability on the radius of obstacle is analyzed. Additionally, we briefly discuss the self-healing limit of the beam in an off-axis scenario. Our results indicate that field amplitude of the beam will be healed well when the obstacle is approximately on-axis without oversized radius, perhaps providing advantages for optical communication, imaging, and remote sensing systems.