# The Resilience of Hermite- and Laguerre-Gaussian Modes in Turbulence

## TL;DR

This paper demonstrates experimentally that Hermite-Gaussian modes are more resilient to atmospheric turbulence than Laguerre-Gauss beams, potentially doubling FSO communication range in turbulent conditions.

## Contribution

It introduces a mode selection strategy that enhances FSO link resilience against turbulence, with experimental validation and theoretical analysis.

## Key findings

- Hermite-Gaussian modes outperform Laguerre-Gauss beams in turbulence resilience
- Potential 167% increase in propagation distance at 50% mode-dependent loss
- Experimental and theoretical validation of mode resilience in FSO links

## Abstract

Vast geographical distances in Africa are a leading cause for the so-called "digital divide" due to the high cost of installing fibre. Free-Space Optical (FSO) communications offer a convenient and higher bandwidth alternative to point-to-point radio microwave links, with the possibility of re-purposing existing infrastructure. Unfortunately, the range of high bandwidth FSO remains limited. While there has been extensive research into an optimal mode set for FSO to achieve maximum data throughput by mode division multiplexing, there has been relatively little work investigating optical modes to improve the resilience of FSO links. Here we experimentally show that a carefully chosen subset of Hermite-Gaussian modes is more resilient to atmospheric turbulence than similar Laguerre-Gauss beams, theoretically resulting in a 167% theoretical increase of propagation distance at a mode dependent loss of 50%.