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An elliptic cylindrical wave expansion method by using Mathieu functions is developed to obtain the scattering field for a two-dimensional elliptic cylindrical invisibility cloak. The cloak material parameters are obtained from the spatial…

Computational Physics · Physics 2008-08-12 E. Cojocaru

Metasurfaces can be designed to achieve prescribed functionality. Careful meta-atom design and arrangement achieve homogeneous and inhomogeneous layouts that can enable exceptional capabilities to manipulate incident waves. Inherently, the…

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…

Analysis of PDEs · Mathematics 2010-06-08 Hongyu Liu , Ting Zhou

The acoustic cloaking theory of Norris (2008) permits considerable freedom in choosing the transformation function f from physical to virtual space. The standard process for defining cloak materials is to first define f and then evaluate…

Materials Science · Physics 2012-10-05 Nachiket H. Gokhale , Jeffrey L. Cipolla , Andrew N. Norris

In this paper, we propose a new electromagnetic (EM) GL double layered cloak. The GL double layered cloak is consist of two sphere annular layers, $R_1 \le r \le R_2$ and $R_2 \le r \le R_3$. Two type cloak materials are proposed and…

Optics · Physics 2009-04-22 Ganquan Xie , Jianhua Li , Feng Xie , Lee Xie

Elastic material with its elastic tensor losing minor symmetry is considered impossible without introducing artificially body torque. Here we demonstrate the feasibility of such material by introducing rotational resonance, the amplified…

Classical Physics · Physics 2020-01-08 Hongkuan Zhang , Yi Chen , Xiaoning Liu , Gengkai Hu

The scattering cancellation technique is a powerful tool to reduce the scattered field from electrically small objects in a specific frequency window. The technique relies on covering the object of interest with a shell that scatters light…

Invisibility cloaks for flexural waves have been mostly examined in the continuous-wave regime, while invisibility is likely to deteriorate for short pulses. Here, we propose the practical realization of a unidirectional invisibility cloak…

Classical Physics · Physics 2023-08-02 Kun Tang , Eitam Luz , David Amram , Luna Kadysz , Sebastien Guenneau , Patrick Sebbah

We propose a mechanism to actively tune the operation of plasmonic cloaks with an external magnetic field by investigating electromagnetic scattering by a dielectric cylinder coated with a magneto-optical shell. In the long wavelength limit…

Optics · Physics 2015-05-12 W. J. M. Kort-Kamp , F. S. S. Rosa , F. A. Pinheiro , C. Farina

In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and can completely hide the cloaked object…

Classical Physics · Physics 2012-05-08 Siyang Zhong , Xun Huang

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

In this paper we construct nonlinear partial differential equations in more than 3 independent variables, possessing a manifold of analytic solutions with high, but not full, dimensionality. For this reason we call them ``partially…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 A. I. Zenchuk , P. M. Santini

The asymmetric transformation elasticity offers a promising method to control elastic waves. However, this method requires elastic materials that support asymmetric stresses, which is not objective within the Cauchy elasticity framework.…

Applied Physics · Physics 2025-11-18 Dingxin Sun , Yi Chen , Xiaoning Liu , Gengkai Hu

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

In this paper we investigate the possibility of elastodynamic transformation cloaking in bodies made of non-centrosymmetric gradient solids. The goal of transformation cloaking is to hide a hole from elastic disturbances in the sense that…

Soft Condensed Matter · Physics 2021-05-25 Fabio Sozio , Ashkan Golgoon , Arash Yavari

Space folding techniques based on non-monotonic transforms lead to a new class of cylindrical isotropic acoustic cloaks with a constant negative density and a spatially varying negative bulk modulus. We consider an external cloak consisting…

Computational Physics · Physics 2021-01-01 Sebastien Guenneau , Bruno Lombard , Cedric Bellis

This paper is concerned with the elastic near cloaking for the Lam\'e system in three-dimensions using the notion of elastic scattering coefficients (ESC). Accordingly, the ESC of arbitrary three-dimensional objects are designed and some of…

Mathematical Physics · Physics 2020-12-08 Hongyu Liu , Wing Yan Tsui , Abdul Wahab , Xianchao Wang

Invisibility cloak is drawing much attention due to its special camouflage when exposed to physical field varing from wave (electromagnetic field, acoustic field, elastic wave, etc.) to scalar field (thermal field, static magnetic field, dc…

Optics · Physics 2015-02-02 Chuwen Lan , Yuping Yang , Zhaoxin Geng , Bo Li , Xianglong Yu , Ji Zhou

Recently, invisible cloaks have attracted much attention due to their exciting property of invisibility, which are based on a solid theory of transformation optics and quasi-conformal mapping. Two kinds of cloaks have been proposed:…

Optics · Physics 2015-05-14 Hui Feng Ma , Wei Xiang Jiang , Xin Mi Yang , Xiao Yang Zhou , Tie Jun Cui

The aim of this communication is to investigate and demonstrate the possibility to overcome the fundamental limitations of mantle cloaking for antennas by exploiting nonlinear metasurfaces. First, we recap and give additional physical…