Geometric mesoscopic correlations in quasi-one dimension

TL;DR

This paper investigates wave transport correlations in quasi-one-dimensional disordered waveguides, revealing deviations from traditional models and proposing boundary corrections to improve theoretical and numerical agreement.

Contribution

It introduces boundary correction functions to account for geometry effects, enhancing the accuracy of correlation predictions in waveguide transport models.

Findings

Channel and spatial correlations deviate from DMPK predictions.

Boundary correction functions improve agreement with numerics and experiments.

Results are consistent with perturbative and experimental data.

Abstract

We study analytically and numerically field/intensity correlations in wave transport through volume-disordered waveguide. The obtained channel and spacial correlations deviate from those found in framework of Dorokhov-Mello-Pereyra-Kumar (DMPK) formalism, that we relate to inapplicability of equivalent channel approximation in DMPK. We show that this can be remedied by introducing boundary correction -- an escape function which depends on the waveguide geometry -- that describes wave transport near a boundary between random medium and free space. We obtain the expressions for field/intensity channel and spacial correlation functions which agree with the numerics and are consistent with the perturbative expressions in slab geometry as well as experiments conducted in Q1D.