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Related papers: Two dimensional invisibility cloaking via transfor…

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In this paper, we review the methodology of transformation optics, which can construct invisibility cloak through the transformation of coordinates based on the form invariance of Maxwell's equations. Three different ways to define the…

Optics · Physics 2011-09-26 Ruo-Yang Zhang , Qing Zhao , Mo-Lin Ge

Transformation Acoustics emerged in the mid-2000s, initiating a new paradigm of metamaterial designs. One of the most compelling designs, the invisibility cloak, holds promise for stealth and noise reduction applications in aviation.…

Applied Physics · Physics 2024-11-07 Levi T. Kaganowich , Deepak C. Akiwate , Trevor J. Cox , Olga Umnova

Acoustic invisibility of a cloaking system in turbulent uids has been poorly understood. Here we show that evident scattering would appear in turbulent wakes owing to the submergence of a classical cloaking device. The inherent mechanism is…

Fluid Dynamics · Physics 2016-11-25 Xun Huang , Siyang Zhong

We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

Optics · Physics 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

Light modulation is an essential operation in photonics and optoelectronics. With existing and emerging technologies increasingly demanding compact, efficient, fast and broadband optical modulators, high-performance light modulation…

Optics · Physics 2016-05-04 Zhipei Sun , Amos Martinez , Feng Wang

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…

Analysis of PDEs · Mathematics 2019-08-01 Tuhin Ghosh , Karthik Iyer

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

Inverse transformation optics is introduced, and used to calculate the reflection at the boundary of a transformation medium under consideration. The transformation medium for a practical device is obtained from a two-dimensional (2D)…

Optics · Physics 2014-03-31 Pu Zhang , Yi Jin , Sailing He

Near-cloaks based on passive coatings can strongly suppress scattered-field energy in a narrow frequency band, yet an observer's ability to infer object parameters from noisy measurements need not decrease proportionally. We develop a fully…

Optics · Physics 2026-01-13 J. Sumaya-Martinez , J. Mulia-Rodriguez

The asymmetric transformation elasticity offers a promising method to control elastic waves. However, this method requires elastic materials that support asymmetric stresses, which is not objective within the Cauchy elasticity framework.…

Applied Physics · Physics 2025-11-18 Dingxin Sun , Yi Chen , Xiaoning Liu , Gengkai Hu

This is a survey of approximate cloaking using transformation optics for acoustic and electromagnetic waves.

Analysis of PDEs · Mathematics 2019-02-01 Hoai-Minh Nguyen , Michael S. Vogelius

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

We propose a finite elements algorithm to solve a fourth order partial differential equation governing the propagation of time-harmonic bending waves in thin elastic plates. Specially designed perfectly matched layers are implemented to…

Computational Physics · Physics 2015-05-19 Mohamed Farhat , Sebastien Guenneau , Stefan Enoch

We consider the 2D inviscid incompressible irrotational infinite depth water wave problem neglecting surface tension. Given wave packet initial data, we show that the modulation of the solution is a profile traveling at group velocity and…

Analysis of PDEs · Mathematics 2015-05-20 Nathan Totz , Sijue Wu

Using a sum rule, we derive new bounds on Herglotz functions that generalize those given in (Gustafson and Sj\"oberg 2010) and (Bernland, Luger and Gustafson 2011). These bounds apply to a wide class of linear passive systems such as…

Mathematical Physics · Physics 2017-08-02 Maxence Cassier , Graeme W. Milton

Thanks to the pioneering studies conducted on the fields of transformation optics (TO) and metasurfaces, many unprecedented devices such as invisibility cloaks have been recently realized. However, each of these methods has some drawbacks…

Applied Physics · Physics 2021-01-01 Mohammad Hosein Fakheri , Ali Abdolali

We show a design method of cloaking devices which work for target objects with arbitrary shape and material by a topology optimisation with an accurate and efficient sensitivity analysis. Most of past researches on topology optimisation of…

Numerical Analysis · Mathematics 2016-11-28 Kenta Nakamoto , Hiroshi Isakari , Toru Takahashi , Toshiro Matsumoto

In this paper, we consider two regularized transformation-optics cloaking schemes for electromagnetic (EM) waves. Both schemes are based on the blowup construction with the generating sets being, respectively, a generic curve and a planar…

Analysis of PDEs · Mathematics 2016-09-21 Youjun Deng , Hongyu Liu , Gunther Uhlmann

The cloaking performance of two microwave cloaks, both based on the recently proposed transmission-line approach, are studied using commercial full-wave simulation software. The cloaks are shown to be able to reduce the total scattering…

Optics · Physics 2009-04-21 Pekka Alitalo , Olli Luukkonen , Juan Mosig , Sergei Tretyakov

It was recently shown [Halimeh et al. arXiv:1510.06144 (to appear in Phys. Rev. A)] that as a result of the Doppler effect, inherently dispersive single-frequency ideal free-space invisibility cloaks in relative motion to an observer can…

Optics · Physics 2016-04-04 Jad C. Halimeh , Robert T. Thompson