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The ability to control electromagnetic fields, heat currents, electric currents, and other physical phenomena by coordinate transformation methods has resulted in novel functionalities, such as cloaking, field rotations, and concentration…

Classical Physics · Physics 2017-02-07 Troy Stedman , Lilia M. Woods

Through a particularly chosen coordinate transformation, we propose an optical carpet cloak that only requires homogeneous anisotropic dielectric material. The proposed cloak could be easily imitated and realized by alternative layers of…

Optics · Physics 2015-05-14 Xiaofei Xu , Yijun Feng , Yu Hao , Juming Zhao , Tian Jiang

Closed-form expressions were recently derived for depolarization dyadics for truncated spheres and truncated spheroids, and the formalism was extended to truncated ellipsoids. These results were exploited to develop an implementation of the…

Optics · Physics 2024-04-30 Tom G. Mackay , Akhlesh Lakhtakia

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

Concealing an object from incoming waves (light and/or sound) remained science fiction for a long time due to the absence of wave-shielding materials in nature. Yet, the invention of artificial materials and new physical principles for…

Applied Physics · Physics 2021-02-17 Waqas W. Ahmed , Mohamed Farhat , Xiangliang Zhang , Ying Wu

A composite material comprising randomly distributed spherical particles of two different isotropic dielectric-magnetic materials is homogenized using the second-order strong-property-fluctuation theory in the long-wavelength approximation.…

Optics · Physics 2009-11-11 Tom G. Mackay , Akhlesh Lakhtakia

Cloaking of static magnetic fields by a finite thickness type-II superconductor tube surrounded by a coaxial paramagnet shell is studied. On the basis of exact solutions to the London and Maxwell equations, it is shown that perfect cloaking…

Superconductivity · Physics 2014-02-17 S. V. Yampolskii , Y. A. Genenko

The aim of this paper is to extend the method of improving cloaking structures in the conductivity to scattering problems. We construct very effective near-cloaking structures for the scattering problem at a fixed frequency. These new…

Analysis of PDEs · Mathematics 2015-05-30 Habib Ammari , Hyeonbae Kang , Hyundae Lee , Mikyoung Lim

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…

Optics · Physics 2009-11-13 Yun Lai , Huanyang Chen , Zhao-Qing Zhang , C. T. Chan

Hitherto acoustic cloaking devices, which conceal objects externally, have depended on the objects' characteristics. Despite previous works, we design cloaking device placed neighbor an arbitrary object and makes it invisible without the…

Applied Physics · Physics 2019-05-01 Zahra Basiri , Mohammad Hosein Fakheri , Ali Abdolali

Expressions arising from the Bruggeman approach for the homogenization of dielectric-magnetic composite materials, without ignoring the sizes of the spherical particles, are presented. These expressions exhibit the proper limit behavior.…

Classical Physics · Physics 2007-05-23 A. Lakhtakia , T. G. Mackay

Is it possible to actually make Harry's invisibility cloaks? The most promising approach for realizing such magical cloaking in our real world would be to use transformation optics, where an empty space with a distorted geometry is imitated…

Mathematical Physics · Physics 2013-02-04 Tomohiro Amemiya , Daisuke Nishiyama , Masato Taki

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

Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In…

In this paper, we consider the approximate acoustic cloaking in inhomogeneous isotropic background space. By employing transformation media, together with the use of a sound-soft layer lining right outside the cloaked region, we show that…

Analysis of PDEs · Mathematics 2012-05-01 Hongyu Liu

The optical theorem relates the total scattering cross-section of a given structure with its forward scattering, but does not impose any restrictions on other directions. Strong backward-forward asymmetry in scattering could be achieved by…

Other Condensed Matter · Physics 2016-11-22 Vitali Kozlov , Dmitry Filonov , Alexander S. Shalin , Ben Z. Steinberg , Pavel Ginzburg

We present an algorithm for holographic shaping of partially coherent light, bridging the gap between traditional coherent and geometric optical approaches. The description of partially coherent light relies on a mode expansion formalism,…

Optics · Physics 2022-01-26 Nicolas Barré , Alexander Jesacher

We introduce a general implementation of the recently proposed homogenization theory [Tsukerman, J. Opt. Soc. Am. B 28, 577 (2011)] allowing one to retrieve all 36 linear constitutive parameters of any 3D metamaterial with parallelepipedal…

Optics · Physics 2011-06-07 Anders Pors , Igor Tsukerman , Sergey I. Bozhevolnyi

We show that dielectric spheres can be cloaked by a shell of amorphously arranged metallic nanoparticles. The shell represents an artificial medium with tunable effective properties that can be adjusted such that the scattered signals of…

Other Condensed Matter · Physics 2012-06-15 Stefan Muhlig , Mohamed Farhat , Carsten Rockstuhl , Falk Lederer

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