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相关论文: Regularized Transformation-Optics Cloaking for the…

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An exact, ray-based general treatment is shown to hold for any kind of monochromatic wave feature - including diffraction and interference - described by Helmholtz-like equations, under the coupling action of a dispersive function (which we…

量子物理 · 物理学 2014-03-25 Adriano Orefice , Raffaele Giovanelli , Domenico Ditto

We consider the 2D quasi-periodic scattering problem in optics, which has been modelled by a boundary value problem governed by Helmholtz equation with transparent boundary conditions. A spectral collocation method and a tensor product…

数值分析 · 数学 2015-07-14 Kui Du

At any energy E > 0, we construct a sequence of bounded potentials $V^E_{n}, n\in\N$, supported in an annular region $B_{out}\setminus B_{inn}$ in three-space, which act as approximate cloaks for solutions of Schr\"odinger's equation: For…

数学物理 · 物理学 2008-12-10 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

We consider an ideal invisibility cloak which is illuminated by monochromatic light and which moves in vacuum at constant relativistic velocity with respect to the common inertial frame of light source and observer. We show that, in…

光学 · 物理学 2016-02-03 Jad C. Halimeh , Robert T. Thompson , Martin Wegener

The prospect of rendering objects invisible has intrigued researchers for centuries. Transformation optics based invisibility cloak design is now bringing this goal from science fictions to reality and has already been demonstrated…

光学 · 物理学 2011-04-22 Jingjing Zhang , Liu Liu , Yu Luo , Shuang Zhang , Niels Asger Mortensen

Invisibility or cloaking has captured human's imagination for many years. With the recent advancement of metamaterials, several theoretical proposals show cloaking of objects is possible, however, so far there is a lack of an experimental…

光学 · 物理学 2015-03-05 Jason Valentine , Jensen Li , Thomas Zentgraf , Guy Bartal , Xiang Zhang

We propose to use transformation optics to generate a general illusion such that an arbitrary object appears to be like some other object of our choice. This is achieved by using a remote device that transforms the scattered light outside a…

光学 · 物理学 2009-10-26 Yun Lai , Jack Ng , HuanYang Chen , DeZhuan Han , JunJun Xiao , Zhao- Qing Zhang , C. T. Chan

We discuss the global scattering response of invisibility cloaks over the entire frequency spectrum, from static to very high frequencies. Based on linearity, causality and energy conservation we show that the total extinction and…

材料科学 · 物理学 2013-10-25 Francesco Monticone , Andrea Alu

A cylindrical wave expansion method is developed to obtain the scattering field for an ideal two-dimensional cylindrical invisibility cloak. A near-ideal model of the invisibility cloak is set up to solve the boundary problem at the inner…

光学 · 物理学 2007-09-15 Zhichao Ruan , Min Yan , Curtis W. Neff , Min Qiu

The solution of the Helmholtz equation in optical semiclassic approximation is associated with the calculation of ray paths and matrices of variations. The transformation rules for elements of matrices on the boundaries of the waveguide are…

数学物理 · 物理学 2012-12-27 I. P. Smirnov

A new recipe for concealing objects from detection is suggested. Different with traditional cloak which deflects light around the core of the cloak to make the object inside invisible, our cloak guides the light to penetrate the core of the…

光学 · 物理学 2008-08-05 Yu Luo , Jingjing Zhang , Hongsheng Chen , Bae-Ian Wu , Jin Au Kong

In this work we theoretically propose scattering cancellation-based cloaks for heat waves that obey the Maxwell-Cattaneo equation. The proposed cloaks possess carefully tailored diffusivity to cancel the dipole scattering from the object…

光学 · 物理学 2020-04-06 M. Farhat , S. Guenneau , P. -Y. Chen , A. Alu , K. N. Salama

The scattering of quasiperiodic waves for a two-dimensional Helmholtz equation with a constant refractive index perturbed by a function which is periodic in one direction and of finite support in the other is considered. The scattering…

数学物理 · 物理学 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez

We develop and apply an optimization method to design invisibility cloaks. Our method is based on minimizing the forward scattering amplitude of the cloaked object, which by the optical theorem, is equivalent to the total cross section. The…

光学 · 物理学 2021-03-09 Brian Slovick , Josh Hellhake

In this paper, we focus on a new wave equation described wave propagation in the attenuation medium. In the first part of this paper, based on the time-domain space fractional wave equation, we formulate the frequency-domain equation named…

偏微分方程分析 · 数学 2021-02-23 Junxiong Jia , Shigang Yu , Jigen Peng , Jinghuai Gao

Recent research has uncovered a remarkable ability to manipulate and control electromagnetic fields to produce effects such as perfect imaging and spatial cloaking. To achieve spatial cloaking, the index of refraction is manipulated to flow…

The straightforward method of transformation optics implies that one starts from the coordinate transformation, determines the Jacobian matrix, the fields and material parameters of the cloak. However, the coordinate transformation appears…

光学 · 物理学 2015-05-27 A. V. Novitsky

We prove that, for arbitrary three-dimensional transformation-based invisibility cloaking of an object above a ground plane or of isolated object, there are practical constraints that increase with the object size. In particular, we show…

光学 · 物理学 2011-08-15 Hila Hashemi , A. Oskooi , J. D. Joannopoulos , Steven G. Johnson

An invisibility cloak that can hide an arbitrary object external to the cloak itself has not been devised before. In this Letter, we introduce a novel way to design a remote cloaking device that makes any object located at a certain…

光学 · 物理学 2015-12-22 Bin Zheng , Hamza Ahmad Madni , Ran Hao , Xianmin Zhang , Xu Liu , Erping Li , Hongsheng Chen

Exact solutions describing the Rayleigh-Bloch waves for the two-dimensional Helmholtz equation are constructed in the case when the refractive index is a sum of a constant and a small amplitude function which is periodic in one direction…

数学物理 · 物理学 2018-06-13 A. Merzon , P. Zhevandrov , M. I. Romero Rodríguez , J. E. De la Paz Méndez