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In this paper, we use the parameter retrieval method together with an analytical effective medium approach to design a well-performed invisible cloak, which is based on an empirical revised version of the reduced cloak. The designed cloak…

Optics · Physics 2011-05-10 Yangbo Xie , Huanyang Chen , Yadong Xu , Lin Zhu , Hongru Ma , Jian-Wen Dong

Based on the transformation optics, a novel transmission-line (TL) approach to realize invisibility cloaking using planar anisotropic metamaterials (MTMs) is proposed. The two-dimensional cylindrical cloaks are modeled based on…

Classical Physics · Physics 2015-05-14 Xiao Liu , Chao Li , Kan Yao , Xiankun Meng , Fang Li

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…

Optics · Physics 2015-06-19 Zhiguo Yang , Li-Lian Wang

Invisibility cloaking not only catches the human imagination, but also promises fascinating applications in optics and photonics. By manipulating electromagnetic waves with metamaterials, researchers have been able to realize…

We analyse the elastic properties of a class of cylindrical cloaks deduced from linear geometric transforms ${\bf x} \to {\bf x}'$ in the framework of the Milton-Briane- Willis cloaking theory [New Journal of Physics 8, 248, 2006]. More…

Materials Science · Physics 2021-11-15 Michele Brun , Sebastien Guenneau

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…

Mathematical Physics · Physics 2017-01-20 Jingzhi Li , Xiaofei Li , Hongyu Liu , Yuliang Wang

The approximate cloaking is investigated for time-harmonic Maxwell's equations via the approach of transformation optics. The problem is reduced to certain boundary effect estimates due to an inhomogeneous electromagnetic inclusion with an…

Analysis of PDEs · Mathematics 2013-05-10 Gang Bao , Hongyu Liu

A method is proposed to design arbitrary shaped two dimensional (2D) isotropic-inertia acoustic cloaks without singularity. The method is based on the deformation view of the transformation method, where the transformation tensor A is…

Classical Physics · Physics 2011-06-01 Jin Hu , Xiaoming Zhou , Gengkai Hu

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

We find sharp upper bounds for the multiplicities and the numerical values of all the distinct eigenvalues on a surface of revolution diffeomorphic to the sphere.

dg-ga · Mathematics 2016-08-31 Martin Engman

We consider transformation-optics based cloaking in acoustic and electromagnetic scattering. The blueprints for an ideal cloak use singular acoustic and electromagnetic materials, posing server difficulties to both theoretical analysis and…

Analysis of PDEs · Mathematics 2014-09-03 Hongyu Liu , Gunther Uhlmann

We consider an ideal invisibility cloak which is illuminated by monochromatic light and which moves in vacuum at constant relativistic velocity with respect to the common inertial frame of light source and observer. We show that, in…

Optics · Physics 2016-02-03 Jad C. Halimeh , Robert T. Thompson , Martin Wegener

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 study approximate cloaking using transformation optics for electromagnetic waves in the time domain. Our approach is based on estimates of the degree of visibility in the frequency domain for all frequencies in which the frequency…

Analysis of PDEs · Mathematics 2019-01-15 Hoai-Minh Nguyen , Loc Tran

For Legendre curves, we consider surfaces of revolution of frontals. The surface of revolution of a frontal can be considered as a framed base surface. We give the curvatures and basic invariants for surfaces of revolution by using the…

Differential Geometry · Mathematics 2020-03-25 Masatomo Takahashi , Keisuke Teramoto

Electromagnetic invisible devices usually designed by transformation optics are rather complicated in material parameters and not suitable for general applications. Recently a topology optimized cloak based on level-set method was proposed…

Optics · Physics 2015-06-17 Lu Lan , Fei Sun , Yichao Liu , C. K. Ong , Yungui Ma

We derive the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves. The cloak is characterized by a rank 4 elasticity tensor with 16 spatially varying entries which are deduced from a geometric transform.…

Materials Science · Physics 2009-11-13 Michele Brun , Sebastien Guenneau , Alexander B. Movchan

The ability to control electromagnetic fields, heat currents, electric currents, and other physical phenomena by coordinate transformation methods has resulted in novel functionalities, such as cloaking, field rotations, and concentration…

Classical Physics · Physics 2017-02-07 Troy Stedman , Lilia M. Woods

We propose multilayer cylindrical invisibility cloaks that are optimized for oblique incidences through combination of analytic formalism of scattering and genetic optimization. We show that by using only four layers of homogeneous and…

Optics · Physics 2016-04-13 Baile Zhang , Bae-Ian Wu

Coordinate transformations are a versatile tool to mould the flow of light, enabling a host of astonishing phenomena such as optical cloaking with metamaterials. Moving away from the usual restriction that links isotropic materials with…

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