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We analyze wave propagation in coupled planar waveguides, pointing specific attention to modal cross-talk and out-of-plane scattering in quasi-planar photonics. An algorithm capable of accurate numerical computation of wave coupling in…

Optics · Physics 2015-05-13 Sukosin Thongrattanasiri , Justin Elser , Viktor A. Podolskiy

This work presents results of ab-initio simulations of continuous wave transport in disordered absorbing waveguides. Wave interference effects cause deviations from diffusive picture of wave transport and make the diffusion coefficient…

Optics · Physics 2013-05-07 Alexey G. Yamilov , Ben Payne

For the wave equation associated to the Laplacian on a compact manifold with boundary with a conic metric (with respect to which the boundary is metrically a point) the propagation of singularities through the boundary is analyzed. Under…

Analysis of PDEs · Mathematics 2007-05-23 Richard Melrose , Jared Wunsch

In a previous paper [Phys. Rev. A 105, 042205 (2022)], the distribution of resonance poles in the complex plane of the wavenumber $k$ associated to the multiple scattering of a quantum particle in a random point field was numerically…

Quantum Physics · Physics 2024-06-14 David Gaspard , Jean-Marc Sparenberg

A transport theory for atomic matter waves in low-dimensional waveguides is outlined. The thermal fluctuation spectrum of magnetic near fields leaking out of metallic microstructures is estimated. The corresponding scattering rate for…

Quantum Physics · Physics 2015-06-26 C. Henkel , S. Potting

In this paper, we study the decoherence of a wave described by the solution to a Schroedinger equation with a time-dependent random potential. The random potential is assumed to have slowly decaying correlations. The main tool to analyze…

Analysis of PDEs · Mathematics 2012-06-25 Christophe Gomez

This paper presents an analytical study of the coexistence of different transport regimes in quasi-one-dimensional surface-disordered waveguides (or electron conductors). To elucidate main features of surface scattering, the case of two…

Statistical Mechanics · Physics 2015-05-20 M. Rendón , N. M. Makarov , F. M. Izrailev

This paper presents an application of time-frequency methods to characterize the dispersion of acoustic waves travelling in a one-dimensional periodic or disordered lattice made up of Helmholtz resonators connected to a cylindrical tube.…

Classical Physics · Physics 2009-07-10 Olivier Richoux , Claude Depollier , Jean Hardy

How do you take a reliable measurement of a material whose microstructure is random? When using wave scattering, the answer is often to take an ensemble average (average over time or space). By ensemble averaging we can calculate the…

Classical Physics · Physics 2021-08-11 Artur Lewis Gower , Gerhard Kristensson

This is a review of the dynamics of wave propagation through a disordered N-mode waveguide in the localized regime. The basic quantities considered are the Wigner-Smith and single-mode delay times, plus the time-dependent power spectrum of…

Disordered Systems and Neural Networks · Physics 2013-04-08 C. W. J. Beenakker

Waves propagating through a weakly scattering random medium show a pronounced branching of the flow accompanied by the formation of freak waves, i.e., extremely intense waves. Theory predicts that this strong fluctuation regime is…

Disordered Systems and Neural Networks · Physics 2013-11-05 S. Barkhofen , J. Metzger , R. Fleischmann , U. Kuhl , H. -J. Stoeckmann

We will discuss a one-dimensional approximation for the problem of wave propagation in networks of thin fibers. The main objective here is to describe the boundary (gluing) conditions at branching points of the limiting one-dimensional…

Mathematical Physics · Physics 2016-04-04 S. Molchanov , B. Vainberg

The propagation of surface water waves over rough topographical bottoms is investigated by the multiple scattering theory. It is shown that the waves can be localized spatially through the process of multiple scattering and wave…

Fluid Dynamics · Physics 2009-11-10 Liang-shan Chen , Zhen Ye

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

This paper provides an analysis of radio wave scattering for frequencies ranging from the microwave to the Terahertz band (e.g., 1 GHz - 1 THz), by studying the scattering power reradiated from various types of materials with different…

Scattering of waves due to a vertical array of equally-spaced cracks on a square lattice is studied. The convenience of Floquet periodicity reduces the study to that of scattering of specific wave-mode from single crack in a waveguide. The…

Classical Physics · Physics 2023-12-21 Gaurav Maurya , Basant Lal Sharma

Starting from the rigorous excitation equation, the propagation of waves through a 2D waveguide with the periodically corrugated finite-length insert is examined in detail. The corrugation profile is chosen to obey the property that its…

Mesoscale and Nanoscale Physics · Physics 2013-06-20 V. O. Goryashko , Yu. V. Tarasov , L. D. Shostenko

In this paper, we investigate on the direct and inverse scattering problem by an unbounded penetrable rough surface in a lossless medium. The cases that the transmission coefficient $\mu\neq1$ and $\mu=1$, which creates certain difficulties…

Analysis of PDEs · Mathematics 2025-11-25 Chengyu Wu , Jiaqinq Yang

In this paper we examine the effect of delamination on wave scattering, with the aim of creating a control measure for layered waveguides of various bonding types. Previous works have considered specific widths of solitary waves for the…

Pattern Formation and Solitons · Physics 2023-09-01 J. S. Tamber , D. J. Chappell , J. C. Poore , M. R. Tranter

No surface is perfectly planar at all scales. The notion of flatness of a surface therefore depends on the size of the probe used to observe it. As a consequence rough interfaces are abundant in nature. Here the old, but still active field…

Statistical Mechanics · Physics 2007-05-23 Ingve Simonsen
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