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In this article we discuss the modelling of elastic and electromagnetic wave propagation through one- and two-dimensional structured piezoelectric solids. Dispersion and the effect of piezoelectricity on the group velocity and positions of…

Materials Science · Physics 2017-01-25 Domenico Tallarico , Natalia V. Movchan , Alexander B. Movchan , Michele Camposaragna

The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of…

Classical Physics · Physics 2015-05-06 V. Epp , J. G. Janz

Electromagnetic wave scattering from planar dielectric films deposited on one-dimensional, randomly rough, perfectly conducting substrates is studied by numerical simulations for both p- and s-polarization. The reduced Rayleigh equation,…

Condensed Matter · Physics 2024-03-25 I. Simonsen , A. A. Maradudin

In this paper we study in detail the localized wave functions defined in Phys. Rev. Lett. {\bf 76}, 1613 (1994), in connection with the scarring effect of unstable periodic orbits in highly chaotic Hamiltonian system. These functions appear…

Chaotic Dynamics · Physics 2009-11-07 D. A. Wisniacki , F. Borondo , E. Vergini , R. M. Benito

We use Maxwell's equations in a sourceless, inhomogeneous medium with continuous permeability $\mu (\mathbf{r}) $ and permittivity $% \epsilon (\mathbf{r}) $ to study the wave propagation. The general form of the wave equation is derived…

General Physics · Physics 2013-09-17 S. Habib Mazharimousavi , Ashkan Roozbeh , M. Halilsoy

Using the supersymmetry technique combined with the transfer matrix method we calculate different physical quantities characterizing localization in disordered wires. In particular, we analyze the density-density correlation function and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. V. Kolesnikov , K. B. Efetov

Scattering of electromagnetic waves lies at the heart of most experimental techniques over nearly the entire electromagnetic spectrum, ranging from radio waves to optics and X-rays. Hence, deep insight into the basics of scattering theory…

A new kinetic instability which results in formation of charge density waves is proposed. The instability is of a purely classical nature. A spatial period of arising space-charge and field configuration is inversely proportional to…

Soft Condensed Matter · Physics 2009-11-07 V. Yu. Kachorovskii , I. S. Lioublinskii , L. D. Tsendin

A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can…

Disordered Systems and Neural Networks · Physics 2019-08-21 Akshay Krishna , Matteo Ippoliti , R. N. Bhatt

This study is grounded in the concept of spatial symmetry, which allows two co-phase RF sources to jointly radiate harmonic electromagnetic (EM) waves, even in presence of electromagnetic couplings between them. The superposition law is…

Classical Physics · Physics 2025-03-25 Bingli Jiao , Chenbo Wang , Zijian Zhou

Electromagnetic waves in vacuum and most materials have transverse polarization. Longitudinal electromagnetic waves with electric field parallel to wave vector are very rare and appear under special conditions in a limited class of media,…

Optics · Physics 2021-09-29 Denis Sakhno , Eugene Koreshin , Pavel A. Belov

Superresolution, extraordinary transmission, total absorption, and localization of electromagnetic waves are currently attracting growing attention. These phenomena are related to different physical objects and are usually studied within…

This work is concerned with the propagation of electromagnetic waves in isotropic chiral media and with the effects produced by a plane boundary between two such media. In analogy with the phenomena of reflection and refraction of plane…

Optics · Physics 2007-05-23 Jose F. Nieves , Palash B. Pal

The introduction of structural defects in otherwise periodic media is well known to grant exceptional space control and localization of waves in various physical fields, including elasticity. Despite the variety of designs proposed so far,…

Applied Physics · Physics 2021-11-18 Marco Miniaci , Florian Allein , Raj Kumar Pal

A general type of localized excitations, folded solitary waves and foldons, are defined and studied both analytically and graphically. The folded solitary waves and foldons may be "folded" in quite complicated ways and possess quite rich…

Exactly Solvable and Integrable Systems · Physics 2018-01-17 Xiao-yan Tang , Sen-yue Lou

We present an exact analytical method of engineering the localization of electromagnetic waves in a fractal waveguide network. It is shown that, a countable infinity of localized electromagnetic modes with a multitude of localization…

Disordered Systems and Neural Networks · Physics 2013-02-15 Biplab Pal , Pinaki Patra , Jyoti Prasad Saha , Arunava Chakrabarti

Invariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary conditions with self-dual property is…

Classical Physics · Physics 2020-03-09 Ismo V. Lindell , Ari Sihvola

We consider the effect of dynamical localization on the lifetimes of the resonances in open wave-chaotic dielectric cavities. We show that dynamical localization leads to a log-normal distribution of the resonance lifetimes which scales…

Disordered Systems and Neural Networks · Physics 2009-10-31 Oleg A. Starykh , Philippe R. J. Jacquod , Evgenii E. Narimanov , A. Douglas Stone

This paper investigates solitary water waves propagating along the surface of a two-dimensional dielectric fluid with constant vorticity in the presence of an external electric field. We formulate the system as a nonlinear free boundary…

Analysis of PDEs · Mathematics 2026-04-28 Tingting Feng , Yong Zhang , Zhitao Zhang

Wave localization is a ubiquitous phenomenon. It refers to situations that transmitted waves in scattering media are trapped in space and remain confined in the vicinity of the initial site until dissipated. Here we report a phase…

Disordered Systems and Neural Networks · Physics 2009-10-31 Zhen Ye , Haoran Hsu