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We study the invisibility via anomalous localized resonance of a general source for electromagnetic waves in the setting of doubly complementary media. As a result, we show that cloaking is achieved if the power is blown up. We also reveal…

Analysis of PDEs · Mathematics 2019-06-17 Hoai-Minh Nguyen

This paper studies a possible connection between the way the time averaged electromagnetic power dissipated into heat blows up and the anomalous localized resonance in plasmonic structures. We show that there is a setting in which the…

Analysis of PDEs · Mathematics 2014-09-10 Hoai-Minh Nguyen , Loc Hoang Nguyen

This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [2,10] to the three-dimensional setting. CALR is shown not to take place for the…

Analysis of PDEs · Mathematics 2015-03-25 Hongjie Li , Jingzhi Li , Hongyu Liu

We investigate anomalous localized resonance on the circular coated structure and cloaking related to it in the context of elasto-static systems. The structure consists of the circular core with constant Lam\'e parameters and the circular…

Spectral Theory · Mathematics 2016-12-28 Kazunori Ando , Hyeonbae Kang , Kyoungsun Kim , Sanghyeon Yu

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

In this paper, we give the mathematical construction of novel core-shell plasmonic structures that can induce anomalous localized resonance and invisibility cloaking at certain finite frequencies beyond the quasistatic limit. The crucial…

Analysis of PDEs · Mathematics 2018-11-14 Hongjie Li , Hongyu Liu

The aim of this paper is to give a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with a source term in a structure with a layer of plasmonic material. Using layer…

Analysis of PDEs · Mathematics 2012-05-29 Habib Ammari , Giulio Ciraolo , Hyeonbae Kang , Hyundae Lee , Graeme W. Milton

If a core of dielectric material is coated by a plasmonic structure of negative dielectric material with non-zero loss parameter, then anomalous localized resonance may occur as the loss parameter tends to zero and the source outside the…

Analysis of PDEs · Mathematics 2013-07-01 Daewon Chung , Hyeonbae Kang , Kyoungsun Kim , Hyundae Lee

This paper is devoted to the study of cloaking via anomalous localized resonance (CALR) in the two and three dimensional quasistatic regimes. CALR associated with negative index materials was discovered by Milton and Nicorovicci in [21] and…

Analysis of PDEs · Mathematics 2015-07-08 Hoai-Minh Nguyen

We study the approximate cloaking via transformation optics for electromagnetic waves in the time harmonic regime in which the cloaking device {\it only} consists of a layer constructed by the mapping technique. Due to the fact that…

Analysis of PDEs · Mathematics 2018-11-02 Hoai-Minh Nguyen , Loc Tran

Invisibility cloaking in acoustic scattering via the approach of transformation optics is considered. The near-cloaks of both passive medium and active/radiating object are investigated. From a practical viewpoint, we are especially…

Analysis of PDEs · Mathematics 2012-11-12 Hongyu Liu

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

We review a selected history of anomalous resonance, cloaking due to anomalous resonance, cloaking due to complementary media, and superlensing.

Optics · Physics 2020-01-15 Ross C. McPhedran , Graeme W. Milton

A slab with relative permittivity $\epsilon = - 1 + i\delta$ and permeability $\mu = - 1 + i\delta $ has a critical distance away from the slab where a small particle will either be cloaked or imaged depending on whether it is located…

Optics · Physics 2016-06-17 Xiaohan Cui , Shubo Wang , C. T. Chan

Cloaking a source via anomalous localized resonance (ALR) was discovered by Milton and Nicorovici in \cite{MiltonNicorovici}. A general setting in which cloaking a source via ALR takes place is the settting of doubly complementary media.…

Analysis of PDEs · Mathematics 2015-11-26 Hoai-Minh Nguyen

If a body of dielectric material is coated by a plasmonic structure of negative dielectric material with nonzero loss parameter, then cloaking by anomalous localized resonance (CALR) may occur as the loss parameter tends to zero. It was…

Mathematical Physics · Physics 2015-06-12 Habib Ammari , Giulio Ciraolo , Hyeonbae Kang , Hyundae Lee , Graeme W. Milton

Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In…

An exact formulation of the propagation of a monochromatic wave packet impinging upon a transparent, homogeneous, isotropic and parallel slab at oblique incidence is presented. Approximate formulas are derived for low divergence Gaussian…

Optics · Physics 2017-12-18 Michel Lequime , Claude Amra

If an object is very small in size compared with the wavelength of light, it does not scatter light efficiently. It is hence difficult to detect a very small object with light. We show using analytic theory as well as full wave numerical…

Optics · Physics 2015-10-20 Meng Xiao , Xueqin Huang , H. Liu , C. T. Chan

The phenomenon of anomalous localized resonance (ALR) is observed at the interface between materials with positive and negative material parameters and is characterized by the fact that, when a given source is placed near the interface, the…

Mathematical Physics · Physics 2016-05-31 Daniel Onofrei , Andrew E. Thaler
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