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There is currently a great deal of interest in the invisibility cloaks recently proposed by Pendry et al. that are based in the transformation approach. They obtained their results using first order transformations. In recent papers Hendi…

光学 · 物理学 2009-11-13 Ricardo Weder

Beginning with a straightforward formulation of electromagnetic cloaking that reduces to a boundary value problem involving a single Maxwell first-order differential equation, explicit formulae for the relative permittivity-permeability…

经典物理 · 物理学 2009-01-28 Arthur D. Yaghjian , Stefano Maci

Transformation optics constructions have allowed the design of cloaking devices that steer electromagnetic, acoustic and quantum waves around a region without penetrating it, so that this region is hidden from external observations. The…

偏微分方程分析 · 数学 2015-09-15 Matti Lassas , Ting Zhou

An analytical method of electromagnetic wave interactions with a general radially anisotropic cloak is established. It is able to deal with arbitrary parameters ($\epsilon_r(r)$, $\mu_r(r)$, $\epsilon_t(r)$ and $\mu_t(r)$) of a radially…

光学 · 物理学 2009-10-02 Cheng-Wei Qiu , Andrey Novitsky , Hua Ma , Shaobo Qu

There is currently a great deal of interest in the theoretical and practical possibility of cloaking objects from the observation by electromagnetic waves. The basic idea of these invisibility devices \cite{glu1, glu2, le},\cite{pss1} is to…

光学 · 物理学 2008-02-04 Ricardo Weder

Electromagnetic invisibility cloak requires material with anisotropic distribution of the constitutive parameters deduced from a geometrical transformation as first proposed by Pendry et al. [Science 312, 1780 (2006)]. In this paper, we…

光学 · 物理学 2009-11-13 Ying Huang , Yijun Feng , Tian Jian

Transformation optics constructions have allowed the design of electromagnetic, acoustic and quantum parameters that steer waves around a region without penetrating it, so that the region is hidden from external observations. The material…

光学 · 物理学 2009-11-13 A. Greenleaf , Y. Kurylev , M. Lassas , G. Uhlmann

Coordinate-transformation approaches to invisibility cloaking rely on the design of an anisotropic, spatially inhomogeneous "transformation medium" capable of suitably re-routing the energy flux around the region to conceal without causing…

光学 · 物理学 2015-05-13 Giuseppe Castaldi , Ilaria Gallina , Vincenzo Galdi

We design three dimensional electromagnetic cloaks, starting from a small region of complex shape instead of a point. We derive the expression of a transformation matrix describing an objet with a surface of revolution and its associated…

计算物理 · 物理学 2015-05-18 G. Dupont , S. Guenneau , S. Enoch

Transformation optics constructions have allowed the design of cloaking devices that steer electromagnetic, acoustic and quantum waves around a region without penetrating it, so that this region is hidden from external observations. The…

偏微分方程分析 · 数学 2011-01-04 Matti Lassas , Ting Zhou

This paper is concerned with the invisibility cloaking in electromagnetic wave scattering from a new perspective. We are especially interested in achieving the invisibility cloaking by completely regular and isotropic mediums. Our study is…

数学物理 · 物理学 2017-01-20 Jingzhi Li , Xiaofei Li , Hongyu Liu , Yuliang Wang

The technique of applying form-invariant, spatial coordinate transformations of Maxwell's equations can facilitate the design of structures with unique electromagnetic or optical functionality. Here, we illustrate the transformation-optical…

The coordinate transformation offers a remarkable way to design cloaks that can steer electromagnetic fields so as to prevent waves from penetrating into the {\em cloaked region} (denoted by $\Omega_0$, where the objects inside are…

光学 · 物理学 2015-06-19 Zhiguo Yang , Li-Lian Wang

We give a comprehensive study on regularized approximate electromagnetic cloaking via the transformation optics approach. The following aspects are investigated: (i) near-invisibility cloaking of passive media as well as active/radiating…

偏微分方程分析 · 数学 2010-09-24 Hongyu Liu , Ting Zhou

We investigate two-dimensional invisibility cloaking via transformation optics approach. The cloaking media possess much more singular parameters than those having been considered for three-dimensional cloaking in literature. Finite energy…

偏微分方程分析 · 数学 2010-06-08 Hongyu Liu , Ting Zhou

We propose a generalization of the two-dimensional eikonal-limit cloak derived from a conformal transformation to three dimensions. The proposed cloak is a spherical shell composed of only isotropic media; it operates in the transmission…

光学 · 物理学 2012-03-28 Yaroslav Urzhumov , Nathan Landy , David R. Smith

Transformation optics originating from the invariance of Maxwell's equations under the coordinate mapping has enabled the design and demonstration of many fascinating electromagnetic devices that were unconceivable or deemed impossible…

材料科学 · 物理学 2013-11-25 Yungui Ma , Lu Lan , Wei Jiang , Fei Sun , Sailing He

By investigating wave properties at cloak boundaries, invisibility cloaks with arbitrary shape constructed by general coordinate transformations are confirmed to be perfectly invisible to the external incident wave. The differences between…

光学 · 物理学 2009-11-13 Wei Yan , Min Yan , Zhichao Ruan , Min Qiu

An acoustic cloak envelopes an object so that sound incident from all directions passes through and around the cloak as though the object were not present. A theory of acoustic cloaking is developed using the transformation or…

材料科学 · 物理学 2008-07-13 Andrew N. Norris

Coordinate-transformation cloaking is based on the design of a metamaterial shell made of an anisotropic, spatially inhomogeneous "transformation medium" that allows rerouting the impinging wave around a given region of space. In its…

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