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相关论文: Cloaking using complementary media in the quasista…

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Cloaking using complementary media was suggested by Lai et al. This was proved in the quasistatic regime by H. M. Nguyen. One of the difficulties in the study of this problem is the appearance of the localized resonance, i.e., the fields…

偏微分方程分析 · 数学 2015-04-29 Hoai-Minh Nguyen , Loc Hoang Nguyen

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…

偏微分方程分析 · 数学 2015-07-08 Hoai-Minh Nguyen

Base on the concept of complementary media, a scheme to achieve cloak an object outside the shell is proposed by Yun lai et al [PRL 102, 093901].We generalize the concept in acoustic waves and demonstrate numerically how to achieve the…

光学 · 物理学 2009-05-22 Jin Han , Yuancheng Fan , Hongqiang Li , Zhanshan Wang

This paper studies magnifying superlens using complementary media. Superlensing using complementary media was suggested by Veselago in [16] and innovated by Nicorovici et al. in [9] and Pendry in [10]. The study of this problem is difficult…

偏微分方程分析 · 数学 2015-07-08 Hoai-Minh Nguyen

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.…

偏微分方程分析 · 数学 2015-11-26 Hoai-Minh Nguyen

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…

数学物理 · 物理学 2016-07-25 Hoai-Minh Nguyen

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…

偏微分方程分析 · 数学 2019-06-17 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…

偏微分方程分析 · 数学 2018-11-02 Hoai-Minh Nguyen , Loc Tran

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…

偏微分方程分析 · 数学 2015-03-25 Hongjie Li , Jingzhi Li , Hongyu Liu

We give a comprehensive study on regularized approximate electromagnetic cloaking via the transformation optics approach. The following aspects are investigated: (i) near-invisibility cloaking of passive media as well as active/radiating…

偏微分方程分析 · 数学 2010-09-24 Hongyu Liu , Ting Zhou

We design a device that generates fields canceling out a known probing field inside a region to be cloaked while generating very small fields far away from the device. The fields we consider satisfy the Laplace equation, but the approach…

数学物理 · 物理学 2015-06-03 Fernando Guevara Vasquez , Graeme W. Milton , Daniel Onofrei

Based on the concept of complementary media, we propose an invisibility cloak operating at a finite frequency that can cloak an object with a pre-specified shape and size within a certain distance outside the shell. The cloak comprises of a…

光学 · 物理学 2009-11-13 Yun Lai , Huanyang Chen , Zhao-Qing Zhang , C. T. Chan

In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in $\mathbb{R}^N$ for $N=2,3$. We show that a perfect cloak can be obtained via a singular change…

偏微分方程分析 · 数学 2019-08-01 Tuhin Ghosh , Karthik Iyer

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…

偏微分方程分析 · 数学 2020-11-17 Hoai-Minh Nguyen

We consider approximate cloaking from a regularization viewpoint introduced in [13] for EIT and further investigated in [12] [17] for the Helmholtz equation. The cloaking schemes in [12] and [17] are shown to be (optimally) within…

偏微分方程分析 · 数学 2015-05-30 Jingzhi Li , Hongyu Liu , Hongpeng Sun

Metamaterial cloaking has been proposed and studied in recent years following several interesting approaches. One of them, the scattering-cancellation technique, or plasmonic cloaking, exploits the plasmonic effects of suitably designed…

经典物理 · 物理学 2015-05-19 Andrea Alu , David Rainwater , Aaron Kerkhoff

We consider cloaking by a coated cylindrical system using plasmonic resonance, and extend previous quasistatic treatments to include the effect of finite wavelength. We show that a probe cylinder can still be cloaked at finite wavelengths,…

光学 · 物理学 2009-11-13 N-A P Nicorovici , R C McPhedran , S Enoch , G Tayeb

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…

偏微分方程分析 · 数学 2014-09-03 Hongyu Liu , Gunther Uhlmann

It is shown how a recently proposed method of cloaking is effective over a broad range of frequencies. The method is based on three or more active devices. The devices, while not radiating significantly, create a ``quiet zone'' between the…

数学物理 · 物理学 2015-06-03 Fernando Guevara Vasquez , Graeme W. Milton , Daniel Onofrei

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…

偏微分方程分析 · 数学 2013-07-01 Daewon Chung , Hyeonbae Kang , Kyoungsun Kim , Hyundae Lee
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