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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

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

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

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…

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 consider the interaction of electromagnetic radiation of arbitrary polarization with multi-level atoms in a self-consistent manner, taking into account both spatial and temporal dependencies of local fields. This is done by numerically…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Maxim Sukharev , Abraham Nitzan

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

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 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

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

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 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

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 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

Optical phonons in nanoparticles with the randomness of interatomic bonds are considered both analytically and numerically. For weak dilute disorder two qualitatively different regimes of separated and overlapped levels are observed,…

Mesoscale and Nanoscale Physics · Physics 2021-08-27 Oleg I. Utesov , Sergei V. Koniakhin , Andrey G. Yashenkin

The onset of transformation optics has opened avenues for designing of a plenitude of applications related to propagation of electromagnetic waves in anisotropic media. In this paper, an algorithm is proposed using a coordinate…

Optics · Physics 2015-11-30 H. H. Sidhwa , R. P. Aiyar , S. V. Kulkarni

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

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

Surface deformations of optical cavities and plasmonic nanoparticles are inevitable in nanophotonics. The random morphology changes of different realizations modify the associated resonance frequencies and quality factors, which may be…

Rotationally resonant metamaterials are leveraged to answer a longstanding question regarding the existence of transformation-invariant elastic materials and the ad-hoc possibility of transformationbased passive cloaking in full plane…

Applied Physics · Physics 2020-03-04 H. Nassar , Y. Y. Chen , G. L. Huang
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