Contribution of evanescent waves to the effective medium of disordered waveguides

Abstract

We consider a wave propagating through a thin disordered slab inside a wire or waveguide of finite width. In the dense weak scattering limit, the statistics for the complex reflection and transmission coefficients (the coherent field) is found to depend dramatically on the contribution of evanescent modes or closed channels, leading to an effective refractive index whose real part is quite sensitive to the closed channels inclusion. In contrast, evanescent modes play no role in the statistical average of transmittances and reflectances. The theoretical predictions, based on the perturbative Born series expansion, are in excellent agreement with numerical simulations in disordered wires.

arXiv comment11 Figures. Accepted for publication in Europhysics Letters

References in corpus (15)

• Random-Matrix Theory of Quantum Transport
• Phase Coherent Transport of Charges in Graphene Quantum Billiard
• Transport Length Scales in Disordered Graphene-based Materials: Strong Localization Regimes and Dimensionality Effects
• Resonance Lineshapes in Quasi-One-Dimensional Scattering
• Disorder-induced coherent scattering in slow-light photonic crystal waveguides
• Scaling theory put into practice: first-principles modeling of transport in doped silicon nanowires
• Resonant radiation pressure on neutral particles in a waveguide
• Quantum Transport in Disordered Wires: Equivalence of One-Dimensional Sigma Model and Dorokhov-Mello-Pereyra-Kumar Equation
• Quantum interference and entanglement induced by multiple scattering of light
• Statistical Scattering of Waves in Disordered Waveguides: from Microscopic Potentials to Limiting Macroscopic Statistics
• Quantum and Boltzmann transport in the quasi-one-dimensional wire with rough edges
• On the attenuation coefficient of monomode periodic waveguides
• Random matrix theory for underwater sound propagation
• Theory of disorder-induced multiple coherent scattering in photonic crystal waveguides
• Theory of semi-ballistic wave propagation

Cited by in corpus (3)

• Single-Parameter Scaling and Maximum Entropy inside Disordered One-Dimensional Systems: Theory and Experiment
• ELECTRON TRANSPORT AND ELECTRON DENSITY INSIDE ONE-DIMENSIONAL DISORDERED CONDUCTORS: An Analysis of the Electronic-Levels Contribution
• Electron transport and electron density inside quasi-one-dimensional disordered conductors