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The possibility of asymmetric absorption and reflection for flexural waves is demonstrated though analytical and numerical examples. We focus on the 1D case of flexural motion of a beam and consider combinations of point scatterers which…

Classical Physics · Physics 2019-09-04 Andrew N. Norris , Pawel Packo

We deal with the scattering of an acoustic medium modeled by an index of refraction $n$ varying in a bounded region $\Omega$ of $\mathbb{R}^3$ and equal to unity outside $\Omega$. This region is perforated with an extremely large number of…

Analysis of PDEs · Mathematics 2016-10-20 Ahmed Alsaedi , Bashir Ahmed , Durga Prasad Challa , Mokhtar Kirane , Mourad Sini

Under the framework of the viscous chromohydrodynamics, the gluon self-energy is derived for the quark-gluon plasma with shear viscosity. The viscous electric permittivity and magnetic permeability are evaluated from the gluon self-energy,…

High Energy Physics - Phenomenology · Physics 2013-08-29 Bing-feng Jiang , De-fu Hou , Jia-rong Li , Yan-Jun Gao

We suggest a scheme for obtaining negative refraction with low absorption in a left-handed atomic system.Under the the appropriate conditions,the atomic system displays negative refraction with negative permittivity and…

Quantum Physics · Physics 2026-05-12 Shun-Cai Zhao , Zheng-Dong Liu , Gen Li , Nian Liu

We present an extensive formulation of the inverse grating problem for exural waves, in which the energy of each diffracted mode is selected and the grating configuration is then obtained by solving a linear system of equations. The grating…

Applied Physics · Physics 2019-01-16 Pawel Packo , Andrew N. Norris , Daniel Torrent

The Doppler effects for the reflected wave from a moving media are systemically analyzed in this paper. The theoretical formula for the Doppler shift in the left-handed material, which is described by Drude's dispersion model, is presented.…

Optics · Physics 2007-05-23 Sanshui Xiao , Min Qiu

Motivated by non-destructive testing of optical fiber, we consider the problem of determining the index of refraction of a two-dimensional medium from magnitude of the total field resulting from known incident plane waves at a fixed…

Analysis of PDEs · Mathematics 2016-08-01 Yat Tin Chow , Fadil Santosa , Gunther Uhlmann

Recently it has been proposed that a planar slab of material, for which both the permittivity and permeability have the values of -1, could bring not only the propagating fields associated with a source to a focus, but could also refocus…

Condensed Matter · Physics 2009-11-07 D. R. Smith , D. Schurig , Marshall Rosenbluth , S. Schultz , S. Anantha Ramakrishna , J. B. Pendry

The concept of negative refraction is attracting a lot of attention. The initial ideas and the misconceptions that have arisen are discussed in sufficient detail to understand the conceptual structure that binds negative refraction to the…

Materials Science · Physics 2007-05-23 Allan D. Boardman , Neil King , Larry Velasco

We discuss a notion of weak solution for a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on results in [2]. Our analysis embraces the vector-valued case in…

Analysis of PDEs · Mathematics 2022-03-23 Mauro Bonafini , Van Phu Cuong Le

Refractive gravitational waves are a generalisation of impulsive waves on a null hypersurface in which the metric is discontinuous but a weaker continuity condition for areas holds. A simple example of a plane wave is examined in detail and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John W. Barrett

We show existence of interfaces between two anisotropic materials so that light is refracted in accordance with a given pattern of energy. To do this we formulate a vector Snell law for anisotropic media when the wave fronts are given by…

Analysis of PDEs · Mathematics 2018-06-04 Cristian E. Gutierrez , Qingbo Huang , Henok Mawi

A method is described for the determination of the effective electromagnetic parameters of a metamaterial based only on external measurements or simulations, taking boundary effects at the interfaces between a conventional material and…

Classical Physics · Physics 2015-05-20 Sung Kim , Edward F. Kuester , Christopher L. Holloway , Aaron D. Scher , James Baker-Jarvis

We are considered the propagation of the fundamental and second harmonic solitary waves under the slowly varying envelope pulses approximation in a quadratic nonlinear medium that characterized by negative refraction index at the frequency…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Andrew I. Maimistov , Ildar R. Gabitov , Elena V. Kazantseva

We consider a semi-infinite dielectric with multiple spatially dispersive resonances in the susceptibility. The effect of the boundary is described by an arbitrary reflection coefficient for polarization waves in the material at the…

Optics · Physics 2017-05-10 R. J. Churchill , T. G. Philbin

Phase delays, spectral, orientation, and angular dependences of radiation refraction in metamaterial targets have been experimentally studied within the millimeter-wave range. It has been shown that angular and spectral dependences have a…

Materials Science · Physics 2013-04-29 G. A. Naumenko , A. P. Potylitsyn , M. V. Shevelev , V. V. Bleko , V. V. Soboleva

We propose a new method for calculating reflection and transmission coefficients for an arbitrarily polarized electromagnetic plane wave incident on a one-dimensional dielectric medium of finite thickness and with dielectric permittivity…

Optics · Physics 2022-04-27 N. A. Vanyushkin , A. H. Gevorgyan , S. S. Golik

As predicted by A. Einstein [Ann. Phys. (Leipzig) 17, 891 (1905)], the electromagnetic wave reflected at a moving mirror is frequency-upshifted and intensified as high as the mirror velocity is close to the speed of light in vacuum.…

Optics · Physics 2023-10-23 T. Z. Esirkepov , S. V. Bulanov

We uncover and identify the regime for a magnetically and ferroelectrically controllable negative refraction of light traversing multiferroic, oxide-based metastructure consisting of alternating nanoscopic ferroelectric (SrTiO$_2$) and…

Optics · Physics 2017-11-01 R. Khomeriki , Levan Chotorlishvili , Igor Tralle , Jamal Berakdar

Electromagnetic field propagation through a transition layer between the positive-index and negative-index materials with linearly changing dielectric permittivity and magnetic permeability was investigated. It is shown that at oblique…