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Related papers: Acoustic cloaking: geometric transform, homogeniza…

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In this paper, we develop a general mathematical framework for the electro-osmosis problem to design simultaneous microscale electric and hydrodynamic cloaking in a Hele-Shaw configuration. A novel approach to achieving simultaneously…

Analysis of PDEs · Mathematics 2024-04-04 Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

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

A new type of simplified cloaks with matched exterior boundaries is proposed. The cloak uses non-magnetic material for the TM polarization and can function with a relatively thin thickness. It is shown that the $zero^{th}$ order scattering…

Optics · Physics 2009-11-13 Wei Yan , Min Yan , Min Qiu

Gradient acoustic metasurfaces have shown strong potential for manipulation of acoustic waves across the audible and ultrasonic frequency ranges. The key challenge in designing acoustic metasurfaces is to create a series of sub-wavelength…

Applied Physics · Physics 2025-04-14 Dingcheng Yang , Yan Kei Chiang , David Powell

An elastic cloak hides a hole or an inhomogeneity from elastic fields. In this paper, a formulation of the optimal design of elastic cloaks based on the adjoint state method, in which the balance of linear momentum is enforced as a…

Computational Engineering, Finance, and Science · Computer Science 2023-05-31 Fabio Sozio , Mostafa Faghih Shojaei , Arash Yavari

We propose a realization of a transformation-based acoustic temporal cloak using an active closed-loop control approach to an equivalent electromagnetic problem. Unlike the more common spatial cloaks the goal of which is hiding fixed…

Applied Physics · Physics 2023-08-02 Or Lasri , Lea Sirota

In an electromagnetic cloak based on a transformation approach, reduced sets of material properties are generally favored due to their easier implementation in reality, although a seemingly inevitable drawback of undesired reflection exists…

We design non-singular cloaks enabling objects to scatter waves like objects with smaller size and very different shapes. We consider the Schrodinger equation which is valid e.g. in the contexts of geometrical and quantum optics. More…

Mathematical Physics · Physics 2010-12-07 Andre Diatta , Sebastien Guenneau

Mitigating low-frequency noise is particularly challenging due to its limited natural attenuation. This study aims to design viscoelastic composite microstructures that achieve both low acoustic reflection and high internal damping by…

Applied Physics · Physics 2025-11-06 Hiroaki Deguchi , Kei Matsushima , Takayuki Yamada

We propose a novel numerical homogenization method based on the edge multiscale approach for solving indefinite time-harmonic Maxwell equations in heterogeneous media with large wavenumber. Numerical methods for these equations in…

Numerical Analysis · Mathematics 2026-04-27 Yueqi Wang , Wing Tat Leung , Guanglian Li

Concealing objects by making them invisible to an external electromagnetic probe is coined by the term cloaking. Cloaking devices, having numerous potential applications, are still face challenges in realization, especially in the visible…

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

We propose a class of line-transformed cylindrical cloaks which have easily-realizable constitutive parameters. The scattering properties of such cloaks have been investigated numerically for both transverse-electric (TE) and…

Optics · Physics 2015-05-14 Wei Xiang Jiang , Hui Feng Ma , Qiang Cheng , Tie Jun Cui

We present algorithms for solving high-frequency acoustic scattering problems in complex domains. The eikonal and transport partial differential equations from the WKB/geometric optic approximation of the Helmholtz equation are solved…

Numerical Analysis · Mathematics 2023-05-03 Samuel F. Potter , Maria K. Cameron , Ramani Duraiswami

In this study, the design of a directional cloaking based on the Luneburg lens system is proposed and its operating principle is experimentally verified. The cloaking concept is analytically investigated via geometrical optics and…

Applied Physics · Physics 2019-04-30 Ceren Babayigit , Aydin Sinan Evren , Emre Bor , Hamza Kurt , Mirbek Turduev

We investigate the acoustic properties of meta-materials that are inspired by sound-absorbing structures. We show that it is possible to construct meta-materials with frequency-dependent effective properties, with large and/or negative…

Analysis of PDEs · Mathematics 2016-03-18 Agnes Lamacz , Ben Schweizer

The concept of an invisibility cloak is a fixture of science fiction, fantasy, and the collective imagination. However, a real device that could hide an object from sight in visible light from absolutely any viewpoint would be extremely…

A new method of cloaking is presented. For two-dimensional quasistatics it is proven how a single active exterior cloaking device can be used to shield an object from surrounding fields, yet produce very small scattered fields. The problem…

Mathematical Physics · Physics 2015-06-03 Fernando Guevara Vasquez , Graeme W. Milton , Daniel Onofrei

The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational…

Other Condensed Matter · Physics 2017-03-13 Sophia R. Sklan , Baowen Li

We show that the properties of the lower part of the spectrum of the Helmholtz equation for an heterogeneous system in a finite region in $d$ dimensions, where the solutions to the homogeneous problems are known, can be systematically…

Mathematical Physics · Physics 2015-12-23 Paolo Amore