Journal ArticleDOI
Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
TLDR
Recent theoretical and experimental progress on making objects invisible to detection by electromagnetic waves is described and ideas for devices that would once have seemed fanciful may now be at least approximately implemented physically using a new class of artificially structured materials called metamaterials.Abstract:
We describe recent theoretical and experimental progress on making objects invisible to detection by electromagnetic waves. Ideas for devices that would once have seemed fanciful may now be at least approximately implemented physically using a new class of artificially structured materials called metamaterials. Maxwell's equations have transformation laws that allow for the design of electromagnetic material parameters that steer light around a hidden region, returning it to its original path on the far side. Not only would observers be unaware of the contents of the hidden region, they would not even be aware that something was being hidden. An object contained in the hidden region, which would have no shadow, is said to be cloaked. Proposals for, and even experimental implementations of, such cloaking devices have received the most attention, but other designs having striking effects on wave propagation are possible. All of these designs are initially based on the transformation laws of the equations that govern wave propagation but, due to the singular parameters that give rise to the desired effects, care needs to be taken in formulating and analyzing physically meaningful solutions. We recount the recent history of the subject and discuss some of the mathematical and physical issues involved.read more
Citations
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Dissertation
Hybrid Inverse Problems Arising from Acousto-Electric Coupling
TL;DR: In this article, the problem of reconstructing the internal conductivity of an object by making electric measurements on the boundary while perturbing the conductivity by sending ultrasound waves to the object is reduced to an inverse problem with internal data.
Journal ArticleDOI
Solving approximate cloaking problems using finite element methods
TL;DR: In this article, the authors considered a variable coefficient Helmholtz equation with a fixed wave number and used finite element methods to discretize the equation and showed that numerical results are shown to exhibit cloaking behavior.
Posted Content
Inverse problems and invisibility cloaking for FEM models and resistor networks
Matti Lassas,Mikko Salo,Leo Tzou +2 more
TL;DR: In this paper, the authors consider inverse problems for resistor networks and for models obtained via the Finite Element Method (FEM) for the conductivity equation, and show how an arbitrary body can be surrounded with a layer so that the cloaked body has the same boundary measurements as a given background medium.
Book ChapterDOI
Analysis and Simulation of Time-Domain Elliptical Cloaks by the Discontinuous Galerkin Method
TL;DR: A discontinuous Galerkin method is developed and demonstrated its effectiveness in reproducing the cloaking phenomena originally simulated by the edge element method.
Posted ContentDOI
Using plasmonic cloaking method on infinite cylindrical structures and its applications
Abstract: In recent years, cloaking using materials with negative electric permittivity or magnetic permeability has been studied and researched. It has been demonstrated that covering an object with a cloak having an electric permittivity or magnetic permeability that is negative or less than unity can cause a reduction of the scattering cross-section (SCS) of the object. In this paper, we solve the scattering problem for an object with a single- or multilayer cylindrical cloak and thus obtain the fundamental equations necessary to design such cloaks under two conditions, viz. with and without consideration of the effects of coupling when solving the scattering problem. Using the obtained equations we demonstrate that this technique can indeed reduce the visibility of the object.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Journal ArticleDOI
Negative Refraction Makes a Perfect Lens
TL;DR: The authors' simulations show that a version of the lens operating at the frequency of visible light can be realized in the form of a thin slab of silver, which resolves objects only a few nanometers across.
Journal ArticleDOI
The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ
Journal ArticleDOI
Controlling Electromagnetic Fields
TL;DR: This work shows how electromagnetic fields can be redirected at will and proposes a design strategy that has relevance to exotic lens design and to the cloaking of objects from electromagnetic fields.
Journal ArticleDOI
Metamaterial Electromagnetic Cloak at Microwave Frequencies
David Schurig,Jack J. Mock,B.J. Justice,Steven A. Cummer,John B. Pendry,Anthony F. Starr,David R. Smith +6 more
TL;DR: This work describes here the first practical realization of a cloak of invisibility, constructed with the use of artificially structured metamaterials, designed for operation over a band of microwave frequencies.