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

偏微分方程分析 · 数学 2019-02-01 Hoai-Minh Nguyen , Michael S. Vogelius

It has recently been shown theoretically that the time-dependent heat conduction equation is form-invariant under curvilinear coordinate transformations. Thus, in analogy to transformation optics, fictitious transformed space can be mapped…

材料科学 · 物理学 2013-05-14 Robert Schittny , Muamer Kadic , Sebastien Guenneau , Martin Wegener

Electromagnetic invisibility cloak requires material with anisotropic distribution of the constitutive parameters deduced from a geometrical transformation as first proposed by Pendry et al. [Science 312, 1780 (2006)]. In this paper, we…

光学 · 物理学 2009-11-13 Ying Huang , Yijun Feng , Tian Jian

In transformation optics, the space transformation is viewed as the deformation of a material. The permittivity and permeability tensors in the transformed space are found to correlate with the deformation field of the material. By solving…

经典物理 · 物理学 2009-11-13 Jin Hu , Xiaoming Zhou , Gengkai Hu

Cloaking techniques conceal objects by controlling the flow of electromagnetic waves to minimize scattering. Herein, the effectiveness of homogenized anisotropic materials in non-resonant dielectric multilayer cloaking is studied. Because…

光学 · 物理学 2014-01-07 Akihiro Takezawa , Mitsuru Kitamura

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

A rectangular "shifting cloak", which visually shifts the cloaked object for a certain distance from the original place, is proposed. Comparing with the previously proposed similar cloaks, this rectangular shifting cloak has a much simpler…

光学 · 物理学 2010-05-31 Jianguo Guan , Wei Li , Zhigang Sun , Wei Wang

Using the framework of transformation optics, this paper presents a detailed analysis of a non-singular square cloak for acoustic, out-of-plane shear elastic, and electromagnetic waves. The generating map is examined in detail and linked to…

数学物理 · 物理学 2014-01-30 DJ Colquitt , IS Jones , NV Movchan , AB Movchan M Brun , RC McPhedran

Artificially structured metamaterials have enabled unprecedented flexibility in manipulating electromagnetic waves and producing new functionalities, including the cloak of invisibility based on coordinate transformation. Here we present…

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

Pentamode metamaterials are a class of acoustic metafluids that are characterized by a divergence free modified stress tensor. Such materials have an unconventional anisotropic stiffness and isotropic mass density, which allow themselves to…

Using the phenomenon of extraordinary sound transmission (EST) through artificially constructed density-near-zero (DNZ) materials, we propose an alternative approach to realize a very robust acoustic cloaking, which includes one absorber…

经典物理 · 物理学 2014-02-17 Jiajun Zhao , Tiancheng Han , Zhining Chen , Baowen Li , Cheng-Wei Qiu

The electromagnetic implementation of cloaking, the hiding of objects from sight by diverting and reassembling illuminating electromagnetic fields has now been with us ten years, while the notion of hiding events is now five. Both schemes…

光学 · 物理学 2017-03-22 Jonathan Gratus , Paul Kinsler , Martin W. McCall , Robert T. Thompson

Invisibility or unhearability cloaks have been made possible by using metamaterials making light or sound flow around obstacle without the trace of reflections or shadows. Metamaterials are known for being flexible building units that can…

New connections between static elastic cloaking, low frequency elastic wave scattering and neutral inclusions are established in the context of two dimensional elasticity. A cylindrical core surrounded by a cylindrical shell is embedded in…

经典物理 · 物理学 2021-03-17 Andrew N. Norris , William J. Parnell

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.…

应用物理 · 物理学 2025-11-18 Dingxin Sun , Yi Chen , Xiaoning Liu , Gengkai Hu

Coordinate-transformation approaches to invisibility cloaking rely on the design of an anisotropic, spatially inhomogeneous "transformation medium" capable of suitably re-routing the energy flux around the region to conceal without causing…

光学 · 物理学 2015-05-13 Giuseppe Castaldi , Ilaria Gallina , Vincenzo Galdi

We investigate two-dimensional invisibility cloaking via transformation optics approach. The cloaking media possess much more singular parameters than those having been considered for three-dimensional cloaking in literature. Finite energy…

偏微分方程分析 · 数学 2010-06-08 Hongyu Liu , Ting Zhou

Based on transformation optics theory, we present a new carpet device that can be used to thermally protect a region from the invasion of external heat flux. The designed device is termed 'thermal carpet', which provides considerable…

光学 · 物理学 2013-04-09 Tianzhi Yang , Fei Chen , Lujun Huang

The advent of transformation optics has lead to the initiation of designing devices and applications associated to electromagnetic wave propagation in anisotropic media. Here, a method is suggested using a coordinate transformation with…

光学 · 物理学 2020-11-13 H. H. Sidhwa