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A problem of electromagnetic (EM) plane wave diffraction on a moving half-plane in a homogeneous and isotropic medium is considered. It is shown, that unlike the stationary case, the shadow boundaries of the incident and reflected wave are…

Mathematical Physics · Physics 2007-05-23 A. Ciarkowski , B. Atamaniuk

Several results concerning active media or metamaterials are proved and discussed. In particular, we consider the permittivity, permeability, wave vector, and refractive index, and discuss stability, refraction, gain, and fundamental…

Optics · Physics 2009-04-20 Bertil Nistad , Johannes Skaar

We develop a modal method that solves Maxwell's equations in the presence of the linearized hydrodynamic correction. Using this approach, it is now possible to calculate the full diffraction for structures with period of the order of the…

Optics · Physics 2013-11-15 Avner Yanai , N. Asger Mortensen , Uriel Levy

We study transmission and reflection properties of a perfectly amplifying as well as absorbing medium analytically by using the tight binding equation. Different expressions for transmittance and reflectance are obtained for even and odd…

Condensed Matter · Physics 2009-10-31 P. K. Datta

Superposition demands that a linear combination of solutions to an electromagnetic problem also be a solution. This paper analyzes some very simple problems: the constructive and destructive interferences of short impulse voltage and…

Classical Physics · Physics 2014-07-08 Hans G. Schantz

Negative reflection and negative refraction are exotic phenomena that can be achieved by platforms such as double-negative metamaterial, hyperbolic metamaterial, and phase-discontinuity metasurface. Recently, natural biaxial van der Waals…

Optics · Physics 2022-07-27 Tan Zhang , Chunqi Zheng , Zhi Ning Chen , Cheng-Wei Qiu

Long-distance transmission of energy by waves is a key mechanism for many natural processes. It becomes possible when the inhomogeneous medium is arranged in such a manner that it enables a specific type of waves to propagate with virtually…

Fluid Dynamics · Physics 2024-11-18 Semyon Churilov

We study coherent wave scattering through waveguides with a step-like surface disorder and find distinct enhancements in the reflection coefficients at well-defined resonance values. Based on detailed numerical and analytical calculations,…

Disordered Systems and Neural Networks · Physics 2014-05-13 J. Doppler , J. A. Méndez-Bermúdez , J. Feist , O. Dietz , D. O. Krimer , N. M. Makarov , F. M. Izrailev , S. Rotter

A set of regularly distributed transmission eigenvalues generates a density function. We use such a density function inversely determines the form of the indicator function. Using the entire function theory, we reduce an uniqueness problem…

Spectral Theory · Mathematics 2012-12-07 Lung-Hui Chen

We have developed the extension of the exact x-ray resonant magnetic reflectivity theory taking into account the small value of the magnetic terms in the x-ray susceptibility tensor. We have shown that squared standing waves (forth powder…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Marina A. Andreeva , Poman A. Baulin , Yurii L. Repchenko

We develop the theory of acoustic wave propagation in a waveguide containing an array of time modulated digital meta-atoms, showing the equivalence between this array and a homogeneous, time varying, dispersive material. In the limit of an…

Classical Physics · Physics 2021-09-30 S. A. R. Horsley

We study an inverse scattering problem for Maxwell's equations in terminating waveguides, where localized reflectors are to be imaged using a remote array of sensors. The array probes the waveguide with waves and measures the scattered…

Numerical Analysis · Mathematics 2015-10-27 Liliana Borcea , Dinh-Liem Nguyen

We introduce a formalism that describes the interaction of light with bifacial optical nanomaterials. They are artificial noncentrosymmetric materials in which counter-propagating waves behave differently. We derive electromagnetic material…

Optics · Physics 2013-11-25 P. Grahn , A. Shevchenko , M. Kaivola

It is proved that a convex polyhedral scatterer of impedance type can be uniquely determined by the electric far-field pattern of a non-vanishing incident field. The incoming wave is allowed to bean electromagnetic plane wave, a vector…

Analysis of PDEs · Mathematics 2021-01-22 Guang-Hui Hu , Manmohan Vashisth , Jiaqing Yang

We are concerned with the inverse scattering problem of recovering an inhomogeneous medium by the associated acoustic wave measurement. We prove that under certain assumptions, a single far-field pattern determines the values of a…

Analysis of PDEs · Mathematics 2020-05-05 Emilia Blåsten , Hongyu Liu

This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by an unbounded rough surface. Given a dipole point source, the direct problem is to determine…

Analysis of PDEs · Mathematics 2019-09-04 Peijun Li , Jue Wang , Lei Zhang

Time reversal mirrors work perfectly only for lossless wave propagation. Here, the performance of time-reversal mirrors is quantitatively defined, and the adverse effect of dissipation on their performance is investigated. An application of…

Chaotic Dynamics · Physics 2014-09-02 Biniyam Tesfaye Taddese , Thomas M. Antonsen , Edward Ott , Steven M. Anlage

We demonstrate a metamaterial that cannot be described by a single set of refractive-index and impedance values, even for fixed frequency and polarization. The metamaterial structure is a stack of dissimilar waveguides with subwavelength…

Wave refraction in negative-index media is always negative.

Condensed Matter · Physics 2007-05-23 W. T. Lu , J. B. Sokoloff , S. Sridhar

We theoretically discuss the possibility of realizing the negative refractive index in Weyl/Dirac semimetals. We consider the Maxwell equations with the plasma gap and the chiral magnetic effect. We study the dispersion relations of…

Mesoscale and Nanoscale Physics · Physics 2018-02-02 Tomoya Hayata