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A new type of simplified cloaks with matched exterior boundaries is proposed. The cloak uses non-magnetic material for the TM polarization and can function with a relatively thin thickness. It is shown that the $zero^{th}$ order scattering…

Optics · Physics 2009-11-13 Wei Yan , Min Yan , Min Qiu

Invisibility cloaking imposes strict conditions on the refractive index profiles of cloaking media that must be satisfied to successfully hide an object. The first experimental demonstrations of cloaking used artificial metamaterials to…

Optics · Physics 2012-06-19 Darran F. Milne , Natalia Korolkova

We present methods for analyzing and designing cylindrical electromagnetic metasurfaces with non-circular cross sections based on conformal transformations. It can be difficult to treat surfaces with non-canonical geometries since they…

Optics · Physics 2022-03-10 Gengyu Xu , George V. Eleftheriades , Sean V. Hum

A parallel dispersive finite-difference time-domain (FDTD) method for the modeling of three-dimensional (3-D) electromagnetic cloaking structures is presented in this paper. The permittivity and permeability of the cloak are mapped to the…

Computational Physics · Physics 2015-05-13 Yan Zhao , Yang Hao

Steering waves in elastic solids is more demanding than steering waves in electromagnetism or acoustics. As a result, designing material distributions which are the counterpart of optical invisibility cloaks in elasticity poses a major…

Materials Science · Physics 2019-06-10 Muamer Kadic , Martin Wegener , Andre Nicolet , Frederic Zolla , Sebastien Guenneau , Andre Diatta

In this paper, we develop a general mathematical framework for the electro-osmosis problem to design simultaneous microscale electric and hydrodynamic cloaking in a Hele-Shaw configuration. A novel approach to achieving simultaneously…

Analysis of PDEs · Mathematics 2024-04-04 Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

Transformation optics offers an unconventional approach to the control of electromagnetic fields. A transformation optical structure is designed by first applying a form-invariant coordinate transform to Maxwell's equations, in which part…

An inverse way to define the parameters of ideal cylindrical cloaks is developed, in which the interconnection between the parameters is revealed for the first time without knowing a specific coordinate transformation. The required…

Optics · Physics 2009-07-03 Cheng-Wei Qiu , Andrey Novitsky

A cylindrical plasmonic structure with a concentric core exhibits an anomalous localized resonance which results in cloaking effects. Here we show that, if the structure has an eccentric core, a new kind of shielding effect can happen. In…

Mathematical Physics · Physics 2017-02-24 Sanghyeon Yu , Mikyoung Lim

We investigate cloaking property of negative-index metamaterials in the time-harmonic electromagnetic setting for the so-called doubly complementary media. These are media consisting of negative-index metamaterials in a shell (plasmonic…

Analysis of PDEs · Mathematics 2020-11-17 Hoai-Minh Nguyen

In this work the polarizability of a subwavelength core-shell sphere is considered, where the shell exhibits a radially inhomogeneous permittivity profile. A mathematical treatment of the elec- trostatic polarizability is formulated in…

Optics · Physics 2018-11-14 Dimitrios C. Tzarouchis , Ari Sihvola

While practical realizations of optical invisibility have been achieved so far by various ingenious methods, they generally rely on complex materials which prevent the wide implementation of such schemes. Here, we propose an alternative…

Optics · Physics 2018-12-17 Zeki Hayran , Ramon Herrero , Muriel Botey , Hamza Kurt , Kestutis Staliunas

Transformation methods have stimulated many interesting applications of manipulating electromagnetic and acoustic waves by using metamaterials, such as super-lens imaging and cloaking. These successes are mainly due to the form-invariant…

Applied Physics · Physics 2019-06-26 Hexuan Gao , Zhihai Xiang

The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by…

Materials Science · Physics 2011-06-28 A. N. Norris , A. L. Shuvalov

Invariant transformation for quantum mechanical systems is proposed. A cloaking of matter wave can be realized at given energy by designing the potential and effective mass of the matter waves in the cloaking region. The general conditions…

Optics · Physics 2009-11-13 Shuang Zhang , Dentcho A. Genov , Cheng Sun , Xiang Zhang

An analytical theory is developed for parametric interactions in metamaterial multilayer structures with simultaneous nonlinear electronic and magnetic responses and with near-zero refractive-index. We demonstrate theoretically that…

Materials Science · Physics 2008-04-01 Simin Feng , Klaus Halterman

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

Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances. The limiting equation is obtained for…

Mathematical Physics · Physics 2011-01-18 A. G. Ramm

The concept of cloaking -- hiding objects from external detection -- has seen wide success in linear systems. Yet, translating these advancements to nonlinear mechanical systems remains an open challenge. Here, we present a new approach to…

We describe families of potentials which act as approximate cloaks for matter waves, i.e., for solutions of the time-independent Schr\"odinger equation at energy $E$, with applications to the design of ion traps. These are derived from…

Quantum Physics · Physics 2009-11-13 A. Greenleaf , Y. Kurylev , M. Lassas , G. Uhlmann