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We consider a semi-infinite dielectric with multiple spatially dispersive resonances in the susceptibility. The effect of the boundary is described by an arbitrary reflection coefficient for polarization waves in the material at the…

Optics · Physics 2017-05-10 R. J. Churchill , T. G. Philbin

Nonlocal (spatial-dispersion) effects in multilayered metamaterials composed of periodic stacks of alternating, deeply subwavelength dielectric layers are known to be negligibly weak. Counterintuitively, under certain critical conditions,…

Optics · Physics 2018-10-03 Giuseppe Castaldi , Andrea Alù , Vincenzo Galdi

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

Plane-wave reflection and refraction at an interface with a double wire medium is considered. The problem of additional boundary conditions (ABC) in application to wire media is discussed and an ABC-free approach, known in the solid state…

Materials Science · Physics 2009-11-11 Igor S. Nefedov , Ari J. Viitanen , Sergei A. Tretyakov

Following our recent work [New J. Phys. 10, 053011, (2008)], here we demonstrate that due to strong nonlocal effects additional boundary conditions are essential to characterize the reflection of electromagnetic waves by nonconnected wire…

Materials Science · Physics 2015-05-13 M. G. Silveirinha

Using a TE/TM decomposition for an angular plane-wave spectrum of free random electromagnetic waves and matched boundary conditions, we derive the probability density function for the energy density of the vector electric field in the…

Optics · Physics 2015-06-26 L. R. Arnaut

The present study deals with total internal reflection of a plane electromagnetic wave at an infinite plane boundary between a transparent medium and an amplifying or attenuating lower-index medium. Solutions of Maxwell's equations are…

Optics · Physics 2023-06-13 Takeyuki Kobayashi

We study the behavior of wave propagation in materials for which not all of the principle elements of the permeability and permittivity tensors have the same sign. We find that a wide variety of effects can be realized in such media,…

Materials Science · Physics 2009-11-07 D. R. Smith , D. Schurig

The most general linear and local set of boundary conditions, involving relations between the normal components of the D and B vectors and tangential components of the E and H vectors at each point of the boundary, are considered in this…

Classical Physics · Physics 2017-02-17 I. V. Lindell , A. Sihvola

Based on molecular optics we investigate the reflection and refraction of an electromagnetic wave between two semi-infinite anisotropic magnetoelectric materials. In terms of Hertz vectors and the principle of superposition, we generalize…

Optics · Physics 2009-11-13 Weixing Shu , Zhongzhou Ren , Hailu Luo , Fei Li , Qin Wu

Propagation, transmission and reflection properties of linearly polarized plane waves and arbitrarily short electromagnetic pulses in one-dimensional dispersionless dielectric media possessing an arbitrary space-time dependence of the…

We investigate the reflection and refraction behaviors of electromagnetic waves at the interface between an isotropic material and the anisotropic medium with a unique dispersion relation. We show that the refraction angle of whether phase…

Optics · Physics 2009-11-11 Weixing Shu , Hailu Luo , Fei Li , Zhongzhou Ren

The impact of surface reflection upon transmission through and energy distributions within random media has generally been described in terms of the boundary extrapolation lengths $z_b, z_b'$ at the input and output end of an open sample,…

Disordered Systems and Neural Networks · Physics 2017-08-02 Xiaojun Cheng , Chushun Tian , Zachary Lowell , Liyi Zhao , Azriel Z. Genack

We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic field. We show for such mediums that electromagnetic waves…

Analysis of PDEs · Mathematics 2008-05-15 Yuliya V. Namlyeyeva , Roman M. Taranets

A method is described for the determination of the effective electromagnetic parameters of a metamaterial based only on external measurements or simulations, taking boundary effects at the interfaces between a conventional material and…

Classical Physics · Physics 2015-05-20 Sung Kim , Edward F. Kuester , Christopher L. Holloway , Aaron D. Scher , James Baker-Jarvis

We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at temporal interfaces scatter and create a transmitted and reflected…

Analysis of PDEs · Mathematics 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

The approach to calculating the effective dielectric and magnetic response in bounded composite materials is developed. The method is essentially based on the renormalisation of the dielectric matrix parameters to account for the surface…

Materials Science · Physics 2009-11-07 D. P. Makhnovskiy , L. V. Panina , D. J. Mapps , A. K. Sarychev

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the…

Classical Physics · Physics 2022-12-01 Adel Messaoudi , Regis Cottereau , Christophe Gomez

It is known that the two eigen plane waves incident to the generalized soft-and-hard/DB (GSHDB) boundary are reflected as from the PEC or PMC boundary, i.e., with reflection coefficients $-1$ or $+1$, for any angle of incidence. The present…

Classical Physics · Physics 2021-08-12 Ismo V. Lindell , Ari Sihvola

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

Analysis of PDEs · Mathematics 2016-01-05 Liliana Borcea , Josselin Garnier
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