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We give a general family of electromagnetic boundary conditions applicable to arbitrary space--time interfaces between electromagnetic media, which include the known space--only and time--only boundary conditions as special cases. These…

光学 · 物理学 2025-07-09 Jonathan Gratus , Simon A. R. Horsley , Martin W. McCall

Transformation optics offers an unconventional approach to the control of electromagnetic fields. A transformation optical structure is designed by first applying a form-invariant coordinate transform to Maxwell's equations, in which part…

光学 · 物理学 2008-03-05 Marco Rahm , Steven A. Cummer , David Schurig , John B. Pendry , David R. Smith

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…

光学 · 物理学 2023-06-13 Takeyuki Kobayashi

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…

材料科学 · 物理学 2009-11-11 Igor S. Nefedov , Ari J. Viitanen , Sergei A. Tretyakov

It is well known that optical media create artificial geometry for light, and curved geometry acts as an effective optical medium. This correspondence originates from the form invariance of Maxwells equations, which recently has spawned a…

光学 · 物理学 2016-10-18 Fei Gao , Xihang Shi , Xiao Lin , Hongyi Xu , Baile Zhang

Inverse transformation optics is introduced, and used to calculate the reflection at the boundary of a transformation medium under consideration. The transformation medium for a practical device is obtained from a two-dimensional (2D)…

光学 · 物理学 2014-03-31 Pu Zhang , Yi Jin , Sailing He

We show that the powerful framework of transformation optics may be exploited for engineering the nonlocal response of artificial electromagnetic materials. Relying on the form-invariant properties of coordinate-transformed Maxwell's…

光学 · 物理学 2015-06-03 Giuseppe Castaldi , Vincenzo Galdi , Andrea Alu' , Nader Engheta

In this paper we introduce a generalized concept of field-transforming metamaterials, which perform field transformations defined as linear relations between the original and transformed fields. These artificial media change the fields in a…

光学 · 物理学 2009-11-13 Sergei Tretyakov , Igor Nefedov , Pekka Alitalo

We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill respectively complementary half-spaces. We construct…

偏微分方程分析 · 数学 2016-10-11 Maxence Cassier , Christophe Hazard , Patrick Joly

In this paper various extensions of the design strategy of transformation media are proposed. We show that it is possible to assign different transformed spaces to the field strength tensor (electric field and magnetic induction) and to the…

光学 · 物理学 2009-03-04 L. Bergamin

Despite the apparent simplicity, the problem of refraction of electromagnetic waves at the planar interface between two media has an incredibly rich spectrum of unusual phenomena. An example is the paradox that occurs when an…

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…

偏微分方程分析 · 数学 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

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…

经典物理 · 物理学 2017-02-17 I. V. Lindell , A. Sihvola

Artificial gauge fields enable extending the control over dynamics of uncharged particles, by engineering the potential landscape such that the particles behave as if effective external fields are acting on them. Recent years have witnessed…

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…

光学 · 物理学 2007-05-23 Jose F. Nieves , Palash B. Pal

Metamaterials are beginning to transform optics and microwave technology thanks to their versatile properties that, in many cases, can be tailored according to practical needs and desires. Although metamaterials are surely not the answer to…

光学 · 物理学 2009-09-16 Ulf Leonhardt , Thomas G. Philbin

This paper models light scattering through flat surfaces with finite transmission, reflection and absorption rates, with wave packets approaching the mirror from both sides. While using the same notion of photons as in free space, our model…

量子物理 · 物理学 2018-04-18 Nicholas Furtak-Wells , Lewis A. Clark , Robert Purdy , Almut Beige

We propose and investigate an "interface-flattening" transformation, hinging upon Transformation Optics (T.O.) techniques, to facilitate the rigorous analysis of electromagnetic (EM) fields radiated by sources embedded in tilted,…

计算物理 · 物理学 2016-02-17 Kamalesh Sainath , Fernando L. Teixeira

The boundary conditions at the deformable interface between two contacting fluids are derived for the general case of the large-amplitude perturbations. The interface is modeled as perturbed free boundary that evolves in time, and the…

流体动力学 · 物理学 2018-03-13 Ivan V. Kazachkov

Based on transformation optics, we introduce another set of generalized laws of reflection and refraction (differs from that of [Science 334, 333 (2011)]), through which a transformation media slab is derived as a meta-surface, producing…

光学 · 物理学 2015-06-04 Yadong Xu , Kan Yao , Huanyang Chen
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