Reflection and transmission of waves in surface-disordered waveguides
arXiv:cond-mat/9807108 · doi:10.1103/PhysRevB.59.5915
Abstract
The reflection and transmission amplitudes of waves in disordered multimode waveguides are studied by means of numerical simulations based on the invariant embedding equations. In particular, we analyze the influence of surface-type disorder on the behavior of the ensemble average and fluctuations of the reflection and transmission coefficients, reflectance, transmittance, and conductance. Our results show anomalous effects stemming from the combination of mode dispersion and rough surface scattering: For a given waveguide length, the larger the mode transverse momentum is, the more strongly is the mode scattered. These effects manifest themselves in the mode selectivity of the transmission coefficients, anomalous backscattering enhancement, and speckle pattern both in reflection and transmission, reflectance and transmittance, and also in the conductance and its universal fluctuations. It is shown that, in contrast to volume impurities, surface scattering in quasi-one-dimensional structures (waveguides) gives rise to the coexistence of the ballistic, diffusive, and localized regimes within the same sample.
LaTeX (REVTeX), 12 pages with 14 EPS figures (epsf macro), minor changes
References in corpus (6)
- Random-Matrix Theory of Quantum Transport
- Measurement of the Probability Distribution of Total Transmission in Random Waveguides
- Quantum Billiards with Surface Scattering: Ballistic Sigma-Model Approach
- Intensity Distribution of Modes in Surface Corrugated Waveguides
- Transition from Diffusive to Localized Regimes in Surface Corrugated Optical Waveguides
- Statistical Distribution of Intensities Reflected from Disordered Media
Cited by in corpus (26)
- Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
- Quantum motion of a neutron in a wave-guide in the gravitational field
- Universal Conductance Distributions in the Crossover between Diffusive and Localization Regimes
- Anomalous transport in low-dimensional systems with correlated disorder
- Statistical Scattering of Waves in Disordered Waveguides: from Microscopic Potentials to Limiting Macroscopic Statistics
- Surface scattering analysis of phonon transport in the quantum limit using an elastic model
- Onset of Delocalization in Quasi-1D Waveguides with Correlated Surface Disorder
- Selective Transparence of Single-Mode Waveguides with Surface Scattering
- Electron localization in two-dimensional surface-corrugated conductors: manifestation of competing scattering mechanisms
- Anderson localization in a periodic photonic lattice with a disordered boundary
- Local and average fields inside surface-disordered waveguides: Resonances in the one-dimensional Anderson localization regime
- Quantum and Boltzmann transport in the quasi-one-dimensional wire with rough edges
- Manifestation of the Roughness-Square-Gradient Scattering in Surface-Corrugated Waveguides
- Gradient and Amplitude Scattering in Surface-Corrugated Waveguides
- Ballistic Localization in Quasi-1D Waveguides with Rough Surfaces
- Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos
- Rough surface scattering in many-mode conducting channels: Gradient versus amplitude scattering
- Magnetic Field Effects on the Transport Properties of One-sided Rough Wires
- Ballistic, diffusive, and localized transport in surface-disordered systems: Two-mode waveguide
- Boundary-induced Anderson localization in photonic lattices
- Spin-dependent electron transport in a Rashba quantum wire with rough edges
- Reflection resonances in surface-disordered waveguides: strong higher-order effects of the disorder
- Transmission of waves across atomic step discontinuities in discrete nanoribbon structures
- Dual nature of localization in guiding systems with randomly corrugated boundaries: Anderson-type versus entropic
- Disorder to chaos transition in the conductance distribution of corrugated waveguides
- Coexistence of diffusive resistance and ballistic persistent current in disordered metallic rings with rough edges: Possible origin of puzzling experimental values