Onset of Delocalization in Quasi-1D Waveguides with Correlated Surface Disorder

TL;DR

This paper analytically investigates wave transport in multi-mode quasi-1D waveguides with correlated surface disorder, revealing conditions for complete transparency of certain modes and potential for selective wave transmission.

Contribution

It introduces the first analytical results demonstrating mode-specific transparency in waveguides with long-range correlated surface disorder, enabling controlled transport properties.

Findings

Certain modes become completely transparent due to correlations.

Mode interactions are negligible, allowing 1D transport theory application.

Waveguides can be engineered for perfect transparency within specific energy windows.

Abstract

We present first analytical results on transport properties of many-mode waveguides with rough surfaces having long-range correlations. We show that propagation of waves through such waveguides reveals a quite unexpected phenomena of a complete transparency for a subset of propagating modes. These modes do not interact with each other and effectively can be described by the theory of 1D transport with correlated disorder. We also found that with a proper choice of model parameters one can arrange a perfect transparency of waveguides inside a given window of energy of incoming waves. The results may be important in view of experimental realizations of a selective transport in application to both waveguides and electron/optic nanodevices.