Enforcing Levy relaxation for multi-mode fibers with correlated disorder

TL;DR

This paper demonstrates how controlling environmental perturbations in multi-mode fibers can engineer Levy-type relaxation processes, using Random Matrix Theory to model and validate the approach through realistic simulations.

Contribution

It introduces a novel method to manipulate mode relaxation in multi-mode fibers by controlling disorder correlations, supported by a theoretical framework and simulation validation.

Findings

Controlled disorder correlations enable Levy relaxation in fibers.

Random Matrix Theory effectively models mode mixing.

Simulations confirm the feasibility of engineered relaxation processes.

Abstract

Environmental perturbations and noise are source of mode mixing and interferences between the propagating modes of a complex multi-mode fiber. Typically, they are characterized by their correlation (paraxial) length, and their spectral content which describes the degree of coupling between various modes. We show that an appropriate control of these quantities allows to engineer Levy-type relaxation processes of an initial mode excitation. Our theory, based on Random Matrix Theory modeling, is tested against realistic simulations with multi-mode fibers.