# Intensity fluctuations in random waveguides

## TL;DR

This paper analyzes how random perturbations in waveguides cause exponential fluctuations in guided mode powers, providing detailed quantification of these effects and their dependence on physical parameters.

## Contribution

It introduces an asymptotic analysis that characterizes the Markovian dynamics of mode powers in randomly perturbed waveguides, highlighting the exponential growth of fluctuations.

## Key findings

- Mode power fluctuations grow exponentially with distance
- Growth rate depends on waveguide geometry and perturbation statistics
- Provides a quantitative framework for understanding wave intensity variability

## Abstract

An asymptotic analysis of wave propagation in randomly perturbed waveguides is carried out in order to identify the effective Markovian dynamics of the guided mode powers. The main result consists in a quantification of the fluctuations of the mode powers and wave intensities that increase exponentially with the propagation distance. The exponential growth rate is studied in detail so as to determine its dependence with respect to the waveguide geometry, the statistics of the random perturbations, and the operating wavelength.