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The problem of definition of effective material parameters (permittivity and permeability) for composite layers containing only one-two parallel arrays of complex-shaped inclusions is discussed. Such structures are of high importance for…

Classical Physics · Physics 2009-11-13 Elena Saenz , Pekka Ikonen , Ramon Gonzalo , Sergei Tretyakov

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two…

Optics · Physics 2013-09-24 Vadim A. Markel , Igor Tsukerman

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated medium. Precisely, we assume that the permeability is unchanged while the permittivity has a multiple-step profile in time and uniformly constant in…

Mathematical Physics · Physics 2023-12-18 Mourad Sini , Haibing Wang , Qingyun Yao

We present a theory of electron, electromagnetic, and elastic wave propagation in systems consisting of non-overlapping scatterers in a host medium. The theory provides a framework for a unified description of wave propagation in…

Condensed Matter · Physics 2009-11-07 A. Modinos , N. Stefanou , I. E. Psarobas , V. Yannopapas

Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties…

Classical Physics · Physics 2013-09-04 Jonathan Gratus , Matthew McCormack

A high energy density plasma embedded in a neutral gas is able to launch an outward-propagating nonlinear electrostatic ionization wave that traps energetic electrons. The trapping maintains a strong sheath electric field, enabling rapid…

Plasma Physics · Physics 2021-02-24 Haotian Mao , Kathleen Weichman , Zheng Gong , Todd Ditmire , Hernan Quevedo , Alexey Arefiev

Bright transient objects in different wave bands have been discovered in recent years. To explain these short (from ms to s), and very powerful events different models, galactic and extragalactic, have been considered. One of popular model…

Plasma Physics · Physics 2024-10-30 G. S. Bisnovatyi-Kogan , I. A. Kondratyev , S. G. Moiseenko

In all of the diverse areas of science where waves play an important role, one of the most fundamental solutions of the corresponding wave equation is a stationary wave with constant intensity. The most familiar example is that of a plane…

We consider time-harmonic electromagnetic wave equations in composites of a dispersive material surrounded by a classical material. In certain frequency ranges this leads to sign-changing permittivity and/or permeability. Previously meshing…

Numerical Analysis · Mathematics 2021-04-20 Martin Halla

The goal of this paper is to present a previously published work [1] in an errorless form. The work has studied the scattering of electromagnetic plane wave by an impedance strip placed in homogeneous isotropic chiral medium using Kobayashi…

Classical Physics · Physics 2021-09-13 Hossein Davoudabadifarahani , Behbod Ghalamkari

We compare the behavior of propagating and evanescent light waves in absorbing media with that of electrons in the presence of inelastic scattering. The imaginary part of the dielectric constant results primarily in an exponential decay of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. Anantha Ramakrishna , A. D. Armour

The structure of the density singularity formed in a relativistically large amplitude plasma wave close to the wavebreaking limit leads to a refraction coefficient which has a coordinate dependence with discontinuous derivatives. This…

Motion of test particles in the gravitational field associated with an electromagnetic plane wave is investigated. The interaction with the radiation field is modeled by a force term {\it \`a la} Poynting-Robertson entering the equations of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices $\epsilon^{ij}$ and $\mu^{ij}$ of permittivity and permeability is studied. These matrices are not required to be symmetric, positive…

Classical Physics · Physics 2013-03-08 Yakov Itin

This paper presents and discusses the conditions for zero electromagnetic scattering by electrically small particles. We consider the most general bi-anisotropic particles, characterized by four dyadic polarizabilities and study the case of…

Classical Physics · Physics 2015-06-11 Joni Vehmas , Younes Ra'di , Antti Karilainen , Sergei Tretyakov

Electromagnetic properties depend on the composition of materials, i.e. either angstrom scales of molecules or, for metamaterials, subwavelength periodic structures. Each material behaves differently in accordance with the frequency of an…

We analytically study the time-averaged electromagnetic energy stored inside scatterers containing inclusions of arbitrary shapes. Assuming the low density of inclusions, we derive the expression for the energy-transport velocity through…

Optics · Physics 2017-10-02 Tiago J. Arruda , Felipe A. Pinheiro , Alexandre S. Martinez

Here, we investigate the physical mechanisms that may enable squeezing a complex electromagnetic field distribution through a narrow and/or partially obstructed region with little amplitude and phase distortions. Following our recent works,…

Materials Science · Physics 2015-06-03 Mario G. Silveirinha , Nader Engheta

Small amplitude inhomogeneous plane waves are studied as they propagate on the free surface of a predeformed semi-infinite body made of Bell constrained material. The predeformation corresponds to a finite static pure homogeneous strain.…

Soft Condensed Matter · Physics 2013-05-01 Michel Destrade

In this note we consider the scattering of electromagnetic waves (governed by the time-harmonic Maxwell equations) by a thin periodic layer of perfectly conducting obstacles. The size of the obstacles and the distance between neighbouring…

Numerical Analysis · Mathematics 2018-07-10 Bérangère Delourme , David P. Hewett