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A robust energy transfer mechanism is found in nonlinear wave systems, which favours transfers towards modes interacting via non-resonant triads, applicable in meteorology, nonlinear optics and plasma wave turbulence. Transfer efficiency is…

Fluid Dynamics · Physics 2013-09-03 Miguel D. Bustamante , Brenda Quinn

It is known that an acoustic wave incident on an infinite array of aligned rectangular blocks of a different acoustic material exhibits total transmission if certain conditions are met [1] which relate the unique "intromission" angle of…

Computational Physics · Physics 2017-08-23 Andrew N. Norris , Xiaoshi Su

We rigorously calculate the propagation and scattering of electromagnetic waves by rectangular and random arrays of dielectric cylinders in a uniform medium. For regular arrays, the band structures are computed and complete bandgaps are…

Disordered Systems and Neural Networks · Physics 2009-11-07 Bikash C. Gupta , Yu-Yu Chen , Zhen Ye

Recent observations of Jupiter and Saturn suggest that heavy elements may be diluted in the gaseous envelope, providing a compositional gradient that could stabilise ordinary convection and produce a stably-stratified layer near the core of…

Earth and Planetary Astrophysics · Physics 2020-03-18 Christina M. Pontin , Adrian J. Barker , Rainer Hollerbach , Quentin André , Stéphane Mathis

Resonant scattering of plane waves by a periodic slab under conditions close to those that support a guided mode is accompanied by sharp transmission anomalies. For two-dimensional structures, we establish sufficient conditions, involving…

Mathematical Physics · Physics 2011-11-01 Stephen P. Shipman , Hairui Tu

We consider wave propagation across an infinite waveguide of an arbitrary bounded cross-section, whose interior is blocked by two identical thick barriers with holes. When the holes are small, the waves over a broad range of frequencies are…

Mathematical Physics · Physics 2021-10-14 A. Delitsyn , D. S. Grebenkov

We show how multiplexing influences propagating fronts in multilayer networks of coupled bistable oscillators. Using numerical simulation, we investigate both deterministic and noise-sustained propagation. In particular, we demonstrate that…

Adaptation and Self-Organizing Systems · Physics 2023-06-28 Vladimir V. Semenov , Sarika Jalan , Anna Zakharova

A refined dynamic finite-strain shell theory for incompressible hyperelastic materials was developed by the authors recently. In this paper, we first derive the associated linearized incremental theory, and then use it to investigate wave…

Biological Physics · Physics 2021-10-11 Xiang Yu , Yibin Fu , Hui-Hui Dai

This paper presents a comprehensive description of the relative effect of optical underwater turbulence in combination with absorption and scattering. Turbulence induced scattering is shown to cause and increase both spatial and temporal…

Signal Processing · Electrical Eng. & Systems 2021-01-15 Callum T. Geldard , John Thompson , Wasiu O. Popoola

We consider resonant tunneling of electromagnetic waves through an optical barrier formed by dielectric layers with the frequency dispersion of their dielectric permiability. The frequency region between lower and upper polariton branches…

Condensed Matter · Physics 2009-10-30 Lev I. Deych , D. Livdan , A. A. Lisyansky

The analytical study of long wave scattering in a canal with a rapidly varying cross-section is presented. It is assumed that waves propagate on a stationary current with a given flow rate. Due to the fixed flow rate, the current speed is…

Fluid Dynamics · Physics 2017-09-19 Semyon Churilov , Andrei Ermakov , Germain Rousseaux , Yury Stepanyants

A prior work (see Chapter 8 of the book, ``Graphs and Networks: Transfinite and Nonstandard,'' Birkhauser-Boston, Cambridge, Mass., USA, 2004) examined the propagation of an electromagnetic wave on a transfinite transmission line,…

General Mathematics · Mathematics 2007-05-23 A. H. Zemanian

Acoustic waves propagating through fluid media are significantly influenced by turbulence. This paper experimentally investigates the influence of underwater turbulence on the propagation characteristics of acoustic waves, revealing that…

Fluid Dynamics · Physics 2026-04-14 Kai-Xin Hu , Yue-Jin Hu

Inertial waves transport energy and momentum in rotating fluids and are a major contributor to mixing and tidal dissipation in Earth's oceans, gaseous planets, and stellar interiors. However, their stability and breakdown mechanisms are not…

Earth and Planetary Astrophysics · Physics 2026-02-12 Valentin Skoutnev , Aurélie Astoul , Adrian J. Barker

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

Analysis of PDEs · Mathematics 2018-12-05 Liliana Borcea , Josselin Garnier

We analyze wavepacket propagation in traveling wave tubes (TWTs) analytically and numerically. TWT design in essence comprises a pencil-like electron beam in vacuum interacting with an electromagnetic wave guided by a slow-wave structure…

Plasma Physics · Physics 2025-04-22 Kasra Rouhi , Filippo Capolino , Alexander Figotin

Excitation waves are studied on trees and random networks of coupled active elements. Undamped propagation of such waves is observed in those networks. It represents an excursion from the resting state and a relaxation back to it for each…

Pattern Formation and Solitons · Physics 2014-06-12 Nikos E. Kouvaris , Thomas M. Isele , Alexander S. Mikhailov , Eckehard Schoell

In this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or from a nonrotating one by adding rotational forces in the…

Analysis of PDEs · Mathematics 2019-02-27 A. Durán

Flat band systems can yield interesting phenomena, such as dispersion suppression of waves with frequency at the band. While linear transport vanishes, the corresponding nonlinear case is still an open question. Here, we study power…

Pattern Formation and Solitons · Physics 2023-12-01 H. Susanto , N. Lazarides , I. Kourakis

Vector solitary waves are nonlinear waves of coupled polarizations that propagate with constant velocity and shape. In mechanics, they hold the potential to control locomotion, mitigate shocks and transfer information, among other…

Soft Condensed Matter · Physics 2020-06-23 Ron Ziv , Gal Shmuel