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The quasi-one-dimensional rhombic array of the waveguides is considered. System of equations describing coupled waves in the waveguide in the linear limit is solved exactly. The electric field distribution was found both for the…

Optics · Physics 2016-06-14 Andrey I. Maimistov , Viktor A. Patrikeev

A theory for multiple scattering of elastic waves is presented in a random medium bounded by two ideal free surfaces, whose horizontal size is infinite and whose transverse size is smaller than the mean free path of the waves. This geometry…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen

Microwave transport experiments have been performed in a quasi-two-dimensional resonator with randomly distributed scatterers, each mimicking an $r^{-2}$ repulsive potential. Analysis of both stationary wave fields and transient transport…

Disordered Systems and Neural Networks · Physics 2010-03-09 R. Hoehmann , U. Kuhl , H. -J. Stoeckmann , L. Kaplan , E. J. Heller

In many physical situations involving diverse length scales, waves or rays representing them travel through media characterized by spatially smooth, random, modest refactive index variations. "Primary" diffraction (by individual…

Classical Physics · Physics 2021-12-14 Eric J Heller , Ragnar Fleischmann , Tobias Kramer

Spiral waves are self-repeating waves that can form in excitable media, propagating outward from their center in a spiral pattern. Spiral waves have been observed in different natural phenomena and have been linked to medical conditions…

Cellular Automata and Lattice Gases · Physics 2020-08-11 Vincent Vangelista , Karl Amjad-Ali , Minhyeok Kwon , Paulo H. Acioli

Excitable waves arise in many spatially-extended systems of either biological, chemical, or physical nature due to the interplay between local reaction and diffusion processes. Here we demonstrate that similar phenomena are encoded in the…

Pattern Formation and Solitons · Physics 2019-05-08 Francesco Marino , Giovanni Giacomelli

We investigate diffusion of excitation in one- and two-dimensional lattices with random on-site energies and deterministic long-range couplings (hopping) inversely proportional to the distance. Three regimes of diffusion are observed in…

Disordered Systems and Neural Networks · Physics 2020-11-18 Karol Kawa , Paweł Machnikowski

Spatial intensity correlations between waves transmitted through random media are analyzed within the framework of the random matrix theory of transport. Assuming that the statistical distribution of transfer matrices is isotropic, we found…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gabriel Cwilich , Luis S. Froufe-Perez , Juan Jose Saenz

A wave packet undergoes a strong spatial and temporal dispersion while propagating through a complex medium. This wave scattering is often seen as a nightmare in wave physics whether it be for focusing, imaging or communication purposes.…

The collective excitation of the conduction electrons in subwavelength structures gives rise to the Localized Surface Plasmon(LSP). The system consisting of two such LSPs, known as the dimer system,is of fundamental interest and is being…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 Bo Liu , Eric J. Heller

By means of analytical calculations and numerical simulations we study the diffusion properties in quasi-two-dimensional structures with two exciton subsystems with an exchange between them. The experimental realisation is possible in…

Statistical Mechanics · Physics 2024-07-18 Oluwafemi P. Adejumobi , Vladimir N. Mantsevich , Vladimir V. Palyulin

We report a theoretical study of the electromagnetic waves (EWs) propagation through an array of superconducting qubits, i.e. coherent two-level systems, embedded in a low-dissipative transmission line. We focus on the near-resonant case as…

Quantum Physics · Physics 2019-09-04 Mikhail V. Fistul , Mikhail A. Iontsev

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

We study the spatio-temporal evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has destructive effect on localization, as recently observed for…

Disordered Systems and Neural Networks · Physics 2015-02-26 Marco Larcher , Tetyana V. Laptyeva , Joshua D. Bodyfelt , Franco Dalfovo , Michele Modugno , Sergej Flach

We predict surface electromagnetic waves propagating across the layers of intrinsic Josephson junctions. We find the spectrum of the surface waves and study the distribution of the electromagnetic field inside and outside the…

Superconductivity · Physics 2009-11-13 V. A. Yampol'skii , D. R. Gulevich , S. Savel'ev , F. Nori

We present a method to control the two-dimensional shape of traveling wave solutions to reaction-diffusion systems, as e.g. interfaces and excitation pulses. Control signals that realize a pre-given wave shape are determined analytically…

Pattern Formation and Solitons · Physics 2014-12-15 Jakob Löber , Steffen Martens , Harald Engel

The nature of traveling wave solutions to equations of hydrodynamics of a generic three-dimensional electron gas with parabolic dispersion law depends on whether the motion is subsonic or supersonic. Solitons representing localized…

Plasma Physics · Physics 2018-08-15 Eugene B. Kolomeisky

Almost periodic particle chains exhibit peculiar propagation properties that are not observed in perfectly periodic ones. Furthermore, since they inherently support non-negligible long-range interactions and radiation through the…

Strongly Correlated Electrons · Physics 2015-06-19 Yarden Mazor , Ben Z. Steinberg

In a communication scheme, there exist points at the transmitter and at the receiver where the wave is reduced to a finite set of functions of time which describe amplitudes and phases. For instance, the information is summarized in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Bernard Lacaze

In this paper, we study wave transmission in a rotating fluid with multiple alternating convectively stable and unstable layers. We have discussed wave transmissions in two different circumstances: cases where the wave is propagative in…

Fluid Dynamics · Physics 2021-04-21 Tao Cai , Cong Yu , Xing Wei