# The Impact of Spatial Correlation in Fluctuations of the Refractive Index on Rogue Wave Generation Probability

## TL;DR

This paper investigates how spatial correlations in refractive index fluctuations influence the likelihood of optical rogue wave formation, revealing that such correlations significantly increase the probability of rogue wave events.

## Contribution

It introduces a detailed numerical and statistical analysis of the effect of spatial correlation length and magnitude on rogue wave probability in optical media.

## Key findings

- Spatial correlations increase rogue wave probability
- Longer correlation lengths lead to higher rogue wave likelihood
- Magnitude of fluctuations also affects rogue wave occurrence

## Abstract

The presence of refractive index fluctuations in an optical medium can result in the generation of optical rogue waves. Using numerical simulations and statistical analysis, we have shown that the probability of optical rogue waves increases in the presence of spatial correlations in the fluctuations of the refractive index. We have analyzed the impact of the magnitude and the spatial correlation length of these fluctuations on the probability of optical rogue wave generation.