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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Book ChapterDOI
A Posteriori Error Estimation
Jichun Li,Yunqing Huang +1 more
TL;DR: This chapter presents some basic techniques for developing a posteriori error estimation for solving Maxwell’s equations, and presents a posterioru error estimator obtained for a cold plasma model described by integro-differential Maxwell's equations.
Posted Content
Recent progress of inverse scattering theory on non-compact manifolds
TL;DR: In this paper, a brief survey of the recent development of inverse scattering theory on non-compact Riemannian manifolds is given, where the main theme is the reconstruction of the manifold and the metric from the scattering matrix.
Dissertation
Simulation and design optimization for linear wave phenomena on metamaterials
TL;DR: This thesis is focused on linear phenomena.
Journal ArticleDOI
Refractive properties of metamaterial composed of InGaAs layers with alternating doping densities
TL;DR: In this article, a general analytical expression for the effective index of refraction of the Poynting vector is derived for periodic structure composed of two alternating layers of absorptive and dispersive semiconductors and light propagation is simulated by finite difference-time-domain method.
Journal ArticleDOI
Approximate Isotropic Cloak for the Maxwell equations
Tuhin Ghosh,Ashwin Tarikere +1 more
TL;DR: In this paper, a regular isotropic approximate cloak for the Maxwell system of equations is constructed using homogenization techniques, which can cloak a given region to any desired degree of accuracy.
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.