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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

We analyze cloaking due to anomalous localized resonance in the quasistatic regime in the case when a general charge density distribution is brought near a slab superlens. If the charge density distribution is within a critical distance of…

Analysis of PDEs · Mathematics 2014-06-30 Taoufik Meklachi , Graeme W. Milton , Daniel Onofrei , Andrew E. Thaler , Gregory FUnchess

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

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

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

We consider the anomalous localized resonance due to a plasmonic structure for the elastostatic system in R^2. The plasmonic structure takes a general core-shell-matrix form with the metamaterial located in the shell. If there is no core,…

Analysis of PDEs · Mathematics 2016-01-29 Hongjie Li , Hongyu Liu

This paper is concerned with the theoretical study of plasmonic resonances for linear elasticity governed by the Lam\'e system in $\mathbb{R}^3$, and their application for cloaking due to anomalous localized resonances. We derive a very…

Analysis of PDEs · Mathematics 2017-04-27 Hongjie Li , Jinhong Li , Hongyu Liu

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 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

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

In this paper, we investigate the photothermal effects of the plasmon resonance. Metal nanoparticles efficiently generate heat in the presence of electromagnetic radiation. The process is strongly enhanced when a fixed frequency of the…

Analysis of PDEs · Mathematics 2013-12-17 Xiaoping Fang , Youjun Deng , Jing Li

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

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

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

Localized states in one-dimensional open disordered systems and their connection to the internal structure of random samples have been studied. It is shown that the localization of energy and anomalously high transmission associated with…

Disordered Systems and Neural Networks · Physics 2009-11-10 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher

Trapping light in open cavities is a long sought "holy grail" of nanophotonics. Plasmonic materials may offer a unique opportunity in this context, as they may fully suppress the radiation loss and enable the observation of spatially…

Optics · Physics 2020-01-22 Solange V. Silva , Tiago A. Morgado , Mario G. Silveirinha

We present theoretical studies of the nature of the collective plasmon resonances of surfaces upon which ordered lattices of spherical metallic particles have been deposited. The collective plasmon modes, excited by light incident on the…

Optics · Physics 2012-08-10 P. A. Letnes , I. Simonsen , D. L. Mills

In this paper we provide a mathematical framework for localized plasmon resonance of nanoparticles. Using layer potential techniques associated with the full Maxwell equations, we derive small-volume expansions for the electromagnetic…

Mathematical Physics · Physics 2015-10-28 Habib Ammari , Youjun Deng , Pierre Millien

We consider periodic arrangements of metal nanostructures and study the effect of periodicity on the localised surface plasmon resonance of the structures within an electrostatic eigenmode approximation. We show that within this limit, the…

Optics · Physics 2017-06-16 Daniel E. Gomez , Yongsop Hwang , Jiao Lin , Timothy J. Davis , Ann Roberts

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

Analysis of PDEs · Mathematics 2015-06-12 Habib Ammari , Giulio Ciraolo , Hyeonbae Kang , Hyundae Lee , Graeme W. Milton
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