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Two choices are possible for the refractive index of a linear, homogeneous, isotropic, active, dielectric material. Either of the choices is adequate for obtaining frequency-domain solutions for (i) scattering by slabs, spheres, and other…

Optics · Physics 2009-11-13 Akhlesh Lakhtakia , Joseph B. Geddes , Tom G. Mackay

We here report coherent reflection of thermal He atom beams from various microscopically rough surfaces at grazing incidence. For a sufficiently small normal component $k_z$ of the incident wave-vector of the atom the reflection probability…

Atomic Physics · Physics 2010-09-28 Bum Suk Zhao , H. Christian Schewe , Gerard Meijer , Wieland Schöllkopf

Given a set of transmission eigenvalues, its density function inversely determines the form of the indicator function. This is one application of the Cartwright's theory in inverse problems. We use the indicator function inversely to…

Analysis of PDEs · Mathematics 2013-07-02 Lung-Hui Chen

A modulation of refractive index can move at the speed of light. How it interacts with an electromagnetic wave? Does it reflect? We show that an incident electromagnetic wave, depending on its frequency either is totally transmitted with a…

Optics · Physics 2024-02-19 T. Z. Esirkepov , S. V. Bulanov

Describing the phenomenon of total internal reflection in terms of a reflection coefficient of unit magnitude, we found that, not only can propagating plane waves be total internally reflected at the planar interface of two dissimilar,…

Optics · Physics 2009-11-13 Akhlesh Lakhtakia , Tom G. Mackay

We examine the response of a plane wave incident on a flat surface of a medium characterized by simultaneously negative electric and magnetic susceptibilities by solving Maxwell's equations explicitly and without making any assumptions on…

Optics · Physics 2008-10-28 Antonia Chimonidou , E. C. G. Sudarshan

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

Interfaces between media with negative relative refractive index generically support propagating electromagnetic surface polariton modes with large wavenumber. The relation of these modes to a recent prediction by Pendry of ``perfect (real)…

Condensed Matter · Physics 2007-05-23 F. D. M. Haldane

This paper presents two approaches to the precise design of maximally flat antireflection coatings reducing the reflectance of the substrate to near zero in a certain region around the central frequency. The first ideal case concerns…

Optics · Physics 2023-08-10 Jaromír Křepelka

Reflection of a normal incident matter wave by a perfectly reflecting wall moving with a constant velocity is investigated. A surprising phenomenon is found-that if the the wall moves faster than the phase velocity of the incident wave,…

Quantum Physics · Physics 2007-05-23 Pi-Gang Luan , Yee-Mou Kao

The problem of diffraction of a waveguide mode by a thin Neumann screen is considered. The incident mode is assumed to have frequency close to the cut-off. The problem is reduced to a propagation problem on a branched surface and then is…

Analysis of PDEs · Mathematics 2015-12-24 Andrey V. Shanin , Andrey I. Korolkov

Theoretical and computational study of reflection and refraction of electromagnetic waves with $p$-polarized and normal incidence electric wave amplitude vector on anisotropic, inhomogeneous and linear medium has been done. The medium used…

Optics · Physics 2012-03-09 Andri S. Husein , Roniyus MS , Sri W. Suciyati

There exists a class of realizable, active media for which the refractive index cannot be defined as an analytic function in the upper half-plane of complex frequency. The conventional definition of the refractive index based on analyticity…

Optics · Physics 2009-11-11 Johannes Skaar

Asymptotic solution to many-body wave scattering problem is given in the case of many small scatterers. The small scatterers can be particles whose physical properties are described by the boundary impedances, or they can be small…

Mathematical Physics · Physics 2011-01-25 A. G. Ramm

We investigate inverse diffraction problems for penetrable gratings in a piecewise constant medium. In the TE polarization case, it is proved that a binary grating profile together with the refractive index beneath it can be uniquely…

Analysis of PDEs · Mathematics 2021-11-24 Jianli Xiang , Guanghui Hu

Plane-wave reflection and refraction at an interface with a double wire medium is considered. The problem of additional boundary conditions (ABC) in application to wire media is discussed and an ABC-free approach, known in the solid state…

Materials Science · Physics 2009-11-11 Igor S. Nefedov , Ari J. Viitanen , Sergei A. Tretyakov

We propose to go away from the electromagnetic wave description of light and to explain through a purely corpuscular and neutral approach, the phenomenon of the slowing down of light in a transparent medium. The quantum predictions and ours…

Optics · Physics 2007-09-12 Marcel Urban

It is shown that for thin metallic films thickness of which does not exceed thickness of skin layer, the problem allows analytical solution. In the field of resonant frequencies the analysis of dependence of coefficients of transmission,…

Mathematical Physics · Physics 2015-03-17 A. V. Latyshev , A. A. Yushkanov

We introduce a new approach for measuring both the effective medium and the transport properties of light propagation in heterogeneous media. Our method utilizes the conceptual equivalence of frequency variation with a change in the…

Optics · Physics 2009-12-21 Sanli Faez , P. M. Johnson , Ad Lagendijk

The optical refractive index of a moving regular medium is calculated by using the Lorentz transformation in this note. It is shown that in some velocity region of medium moving relative to the initial frame K, the moving medium may possess…

Classical Physics · Physics 2007-05-23 Jian Qi Shen