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The fully covariant formulation of transformation optics is used to find the configuration of a cloaking device operating in an expanding universe modelled by a Friedmann-Lema\^itre-Robertson-Walker spacetime. This spacetime cloak is used…

Optics · Physics 2015-07-23 Robert T. Thompson , Mohsen Fathi

We establish optimal conditions under which the G-convergence of linear elliptic operators implies the convergence of the corresponding Dirichlet to Neumann maps. As an application we show that the approximate cloaking isotropic materials…

Analysis of PDEs · Mathematics 2013-11-22 Daniel Faraco , Yaroslav Kurylev , Alberto Ruiz

We propose a class of line-transformed cylindrical cloaks which have easily-realizable constitutive parameters. The scattering properties of such cloaks have been investigated numerically for both transverse-electric (TE) and…

Optics · Physics 2015-05-14 Wei Xiang Jiang , Hui Feng Ma , Qiang Cheng , Tie Jun Cui

In elasticity, the design of a cloaking for an inclusion or a void to leave a vibrational field unperturbed by its presence, so to achieve its invisibility, is a thoroughly analyzed, but still unchallenged, mechanical problem. The 'cloaking…

Applied Physics · Physics 2020-02-11 D. Misseroni , A. B. Movchan , D. Bigoni

In order to reduce the difficulties in the experimental realizations of the cloak but still keep good performance of invisibility, we proposed a perfect cylindrical invisibility cloak with spatially invariant axial material parameters. The…

Optics · Physics 2008-07-28 Yu Luo , Jingjing Zhang , Hongsheng Chen , Sheng Xi , Bae-Ian Wu

Complex and interesting electromagnetic behavior can be found in spaces with non-flat topology. When considering the properties of an electromagnetic medium under an arbitrary coordinate transformation an alternative interpretation presents…

Optics · Physics 2009-11-13 D. Schurig , J. B. Pendry , D. R. Smith

Metamaterials have paved the way to unprecedented control of the electromagnetic field1,2. The conjunction with space coordinate transformation has led to a novel "relativity inspired" approach for the control of light propagation.…

Optics · Physics 2015-05-13 Boubacar Kante , Dylan Germain , Andre de Lustrac

Optical metamaterials have the potential to control the flow of light at will which may lead to spectacular applications as the perfect lens or the cloaking device. Both of these optical elements require invariant effective material…

Optics · Physics 2009-09-09 Thomas Paul , Christoph Menzel , Carsten Rockstuhl , Falk Lederer

The invisibility cloak has been a long-standing dream for many researchers over the decades. The introduction of transformational optics has revitalized this field by providing a general method to design material distributions to hide the…

Optics · Physics 2011-05-03 Fan Zhou , Yongjun Bao , Wei Cao , Colin T. Stuart , Jianqiang Gu , Weili Zhang , Cheng Sun

The deformation method of transformation optics has been demonstrated to be a useful tool, especially in designing arbitrary and nonsingular transformation materials. Recently, there are emerging demands for isotropic material parameters,…

Classical Physics · Physics 2010-04-20 Zheng Chang , Jin Hu , Xiaoming Zhou , Gengkai Hu

Despite much interest and progress in optical spatial cloaking, a three-dimensional (3D), transmitting, continuously multidirectional cloak in the visible regime has not yet been demonstrated. Here we experimentally demonstrate such a cloak…

Optics · Physics 2015-03-10 Joseph S. Choi , John C. Howell

In this paper, we develop a general mathematical framework for enhanced hydrodynamic near-cloaking of electro-osmotic flow for more complex shapes, which is obtained by simultaneously perturbing the inner and outer boundaries of the perfect…

Analysis of PDEs · Mathematics 2023-10-24 Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

Spatial tailoring of the material constitutive properties is a well-known strategy to mold the local flow of given observables in different physical domains. Coordinate-transformation-based methods (e.g., transformation optics) offer a…

Materials Science · Physics 2014-05-14 Massimo Moccia , Giuseppe Castaldi , Salvatore Savo , Yuki Sato , Vincenzo Galdi

Is it possible to actually make Harry's invisibility cloaks? The most promising approach for realizing such magical cloaking in our real world would be to use transformation optics, where an empty space with a distorted geometry is imitated…

Mathematical Physics · Physics 2013-02-04 Tomohiro Amemiya , Daisuke Nishiyama , Masato Taki

Transformation optics is a powerful tool to design various novel devices, such as invisibility cloak. Fantastic effects from this technique are usually accompanied with singular mappings, resulting in challenging implementations and narrow…

Optics · Physics 2016-02-08 M. M. Sadeghi , Sucheng Li , Lin Xu , Bo Hou , Huanyang Chen

In this paper, we present various schemes of cloaking an arbitrary objects via anomalous localized resonance and provide their analysis in two and three dimensions. This is a way to cloak an object using negative index materials in which…

Mathematical Physics · Physics 2016-07-25 Hoai-Minh Nguyen

Thanks to the pioneering studies conducted on the fields of transformation optics (TO) and metasurfaces, many unprecedented devices such as invisibility cloaks have been recently realized. However, each of these methods has some drawbacks…

Applied Physics · Physics 2021-01-01 Mohammad Hosein Fakheri , Ali Abdolali

The synthesis of non-magnetic 2D dielectric cloaks as proper solutions of an inverse scattering problem is addressed in this paper. Adopting the relevant integral formulation governing the scattering phenomena, analytic and numerical…

Classical Physics · Physics 2017-06-29 Loreto Di Donato , Tommaso Isernia , Giuseppe Labate , Ladislau Matekovits

In an electromagnetic cloak based on a transformation approach, reduced sets of material properties are generally favored due to their easier implementation in reality, although a seemingly inevitable drawback of undesired reflection exists…

Electromagnetic cloaks are devices that can be used to reduce the total scattering cross section of various objects. An ideal cloak removes all scattering from an object and thus makes this object "invisible" to the electromagnetic fields…

Optics · Physics 2015-05-14 Pekka Alitalo , Henrik Kettunen , Sergei Tretyakov