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Related papers: Design Arbitrary Shaped 2D Acoustic Cloak without …

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We propose a general method to circumvent the singularity of arbitrary 2D cloaks, which arises from infinitely large values of material parameters at inner boundaries. The presented method is based on the deformation view of the…

Optics · Physics 2009-07-14 Jin Hu , Xiaoming Zhou , Gengkai Hu

An acoustic cloak envelopes an object so that sound incident from all directions passes through and around the cloak as though the object were not present. A theory of acoustic cloaking is developed using the transformation or…

Materials Science · Physics 2008-07-13 Andrew N. Norris

We develop an optimization framework for the design of acoustic cloaks, with the aim of overcoming the limitations of usual transformation-based cloaks in terms of microstructure complexity and shape arbitrarity of the obstacle. This is…

Optimization and Control · Mathematics 2022-02-16 Sebastiano Cominelli , Davide Enrico Quadrelli , Carlo Sinigaglia , Francesco Braghin

We start by a review of the chronology of mathematical results on the Dirichlet-to-Neumann map which paved the way towards the physics of transformational acoustics. We then rederive the expression for the (anisotropic) density and bulk…

Mathematical Physics · Physics 2011-07-27 Guillaume Dupont , Mohamed Farhat , Andre Diatta , Sebastien Guenneau , Stefan Enoch

Fundamental features of rotationally symmetric acoustic cloaks with anisotropic inertia are derived. Two universal relations are found to connect the radial and transverse phase speeds and the bulk modulus in the cloak. Perfect cloaking…

Fluid Dynamics · Physics 2008-02-07 Andrew N. Norris

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…

Classical Physics · Physics 2009-11-13 Jin Hu , Xiaoming Zhou , Gengkai Hu

In this work, we consider the problem of optimal design of an acoustic cloak under uncertainty and develop scalable approximation and optimization methods to solve this problem. The design variable is taken as an infinite-dimensional…

Optimization and Control · Mathematics 2021-03-17 Peng Chen , Michael R. Haberman , Omar Ghattas

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

We design three dimensional electromagnetic cloaks, starting from a small region of complex shape instead of a point. We derive the expression of a transformation matrix describing an objet with a surface of revolution and its associated…

Computational Physics · Physics 2015-05-18 G. Dupont , S. Guenneau , S. Enoch

In this Letter we develop analytical formulations to describe sound scattering in lossless medium due to 2D circular wave incident on an acoustic cloak. A perfect acoustic cloak is reflectionless and can completely hide the cloaked object…

Classical Physics · Physics 2012-05-08 Siyang Zhong , Xun Huang

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…

Optics · Physics 2014-01-07 Akihiro Takezawa , Mitsuru Kitamura

The acoustic cloaking theory of Norris (2008) permits considerable freedom in choosing the transformation function f from physical to virtual space. The standard process for defining cloak materials is to first define f and then evaluate…

Materials Science · Physics 2012-10-05 Nachiket H. Gokhale , Jeffrey L. Cipolla , Andrew N. Norris

Acoustic cloaks that make object undetectable to sound waves have potential applications in a variety of scenarios and have received increasing interests recently. However, the experimental realization of a three-dimensional (3D) acoustic…

Classical Physics · Physics 2014-03-13 Weiwei Kan , Bin Liang , Ruiqi Li , Xue Jiang , Xin-ye Zou , Lei-lei Yin , Jianchun Cheng

Application of transformation theory to underwater acoustics has been a challenging task because highly anisotropic density is unachievable in water. A possible strategy is to exploit anisotropic modulus rather than density, while has not…

Classical Physics · Physics 2017-06-07 Yi Chen , Mingye Zheng , Xiaoning Liu , Yafeng Bi , Zhaoyong Sun , Ping Xiang , Jun Yang , Gengkai Hu

In order to reduce the difficulties in the experimental realizations of the cloak but still keep good performance of invisibility, we proposed a perfect cylindrical invisibility cloak with spatially invariant axial material parameters. The…

Optics · Physics 2008-07-28 Yu Luo , Jingjing Zhang , Hongsheng Chen , Sheng Xi , Bae-Ian Wu

A general process is proposed to experimentally design anisotropic inhomogeneous metamaterials obtained through a change of coordinate in the Helmholtz equation. The method is applied to the case of a cylindrical transformation that allows…

Computational Physics · Physics 2019-04-15 Lucas Pomot , Cédric Payan , Marcel Remillieux , Sébastien Guenneau

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

An inverse way to define the parameters of ideal cylindrical cloaks is developed, in which the interconnection between the parameters is revealed for the first time without knowing a specific coordinate transformation. The required…

Optics · Physics 2009-07-03 Cheng-Wei Qiu , Andrey Novitsky

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…

Optics · Physics 2009-11-13 Ying Huang , Yijun Feng , Tian Jian

Transformation optics constructions have allowed the design of electromagnetic, acoustic and quantum parameters that steer waves around a region without penetrating it, so that the region is hidden from external observations. The material…

Optics · Physics 2009-11-13 A. Greenleaf , Y. Kurylev , M. Lassas , G. Uhlmann
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