English
Related papers

Related papers: A rigorous analysis of high order electromagnetic …

200 papers

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

Using the framework of transformation optics, this paper presents a detailed analysis of a non-singular square cloak for acoustic, out-of-plane shear elastic, and electromagnetic waves. The generating map is examined in detail and linked to…

Mathematical Physics · Physics 2014-01-30 DJ Colquitt , IS Jones , NV Movchan , AB Movchan M Brun , RC McPhedran

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

This paper focuses on the time-harmonic electromagnetic (EM) scattering problem in a general medium which may possess a nontrivial topological structure. We model this by an inhomogeneous and possibly anisotropic medium with embedded…

Analysis of PDEs · Mathematics 2024-08-14 Huaian Diao , Hongyu Liu , Qingle Meng , Li Wang

We consider how transformation optics and invisibility cloaking can be used to construct models in subsets $\mathbb{R}^3$ with a varying metric, where the time-harmonic waves for a given angular wavenumber $k$, are equivalent to the waves…

Analysis of PDEs · Mathematics 2021-03-26 Tracey Balehowsky , Matti Lassas , Pekka Pankka , Ville Sirviö

For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversal (PT) transformation. We determine the…

Mathematical Physics · Physics 2013-03-12 Ali Mostafazadeh

A radial-dependent dispersive finite-difference time-domain (FDTD) method is proposed to simulate electromagnetic cloaking devices. The Drude dispersion model is applied to model the electromagnetic characteristics of the cloaking medium.…

Classical Physics · Physics 2009-05-13 Christos Argyropoulos , Yan Zhao , Yang Hao

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation. The electric permittivity and magnetic permeability in the…

Analysis of PDEs · Mathematics 2019-01-29 Hongjie Li , Shanqiang Li , Hongyu Liu , Xianchao Wang

Hitherto acoustic cloaking devices, which conceal objects externally, have depended on the objects' characteristics. Despite previous works, we design cloaking device placed neighbor an arbitrary object and makes it invisible without the…

Applied Physics · Physics 2019-05-01 Zahra Basiri , Mohammad Hosein Fakheri , Ali Abdolali

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

The scattering of electromagnetic waves by three--dimensional periodic structures is important for many problems of crucial scientific and engineering interest. Due to the complexity and three-dimensional nature of these waves, the fast,…

Numerical Analysis · Mathematics 2023-07-31 David P. Nicholls , Liet Vo

Recently, it was demonstrated that active sources can be used to cloak any objects that lie outside the cloaking devices [Phys. Rev. Lett. \textbf{103}, 073901 (2009)]. Here, we propose that active sources can create illusion effects, so…

Optics · Physics 2013-07-04 H. H. Zheng , J. J. Xiao , Y. Lai , C. T. Chan

Transformation media theory, which steers waves in solids via an effective geometry induced by a refractive material (Fermat's principle of least action), provides a means of controlling vibrations and elastic waves beyond the traditional…

Applied Physics · Physics 2018-08-01 Sophia R. Sklan , Ronald Y. S. Pak , Baowen Li

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

Using GILD and GL no scattering modeling and inversion, we find a class of the nonzero solution of the zero scattering nonlinear inversion equation and use it to create our GLHUA cloak with relative EM parameter not less than 1 for each…

General Physics · Physics 2018-09-10 Jianhua Li , Feng Xie , Lee Xie , Ganquan Xie

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…

We consider a polyhedron with zero classical resistance, i.e., a polyhedron invisible to an observer viewing only the paths of geometrical optics rays. The corresponding problem of scattering of plane waves by the polyhedron is studied. The…

Mathematical Physics · Physics 2012-04-19 E. Lakshtanov , B. D. Sleeman , B. Vainberg

It is known that design of elastic cloaks is much more challenging than the design idea for acoustic cloaks, cloaks of electromagnetic waves or scalar problems of anti-plane shear. In this paper, we address fully the fourth-order problem…

Classical Physics · Physics 2015-06-19 M. Brun , D. J. Colquitt , I. S. Jones , A. B. Movchan , N. V. Movchan

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

We study the classical scattering problem of a plane electromagnetic wave incident on the surface of semi-infinite periodic stratified media incorporating anisotropic dielectric layers with special oblique orientation of the anisotropy…

Optics · Physics 2009-11-10 A. Figotin , I. Vitebskiy