Dynamics of weakly localized waves

TL;DR

This paper develops a transport theory for weakly localized waves in quasi-1D geometries, comparing theoretical predictions with microwave experiments and existing theories like random matrix and supersymmetric approaches.

Contribution

It introduces a new transport theory specifically for weakly localized waves in quasi-1D systems, bridging experimental results and existing theoretical frameworks.

Findings

The theory accurately describes wave dynamics in quasi-1D systems.

Results align with recent microwave experiments.

Comparison shows consistency with random matrix and supersymmetric theories.

Abstract

We develop a transport theory to describe the dynamics of (weakly) localized waves in a quasi-1D tube geometry both in reflection and in transmission. We compare our results to recent experiments with microwaves, and to other theories such as random matrix theory and supersymmetric theory.