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We provide a new analytical and computational study of the transmission eigenvalues with a conductive boundary condition. These eigenvalues are derived from the scalar inverse scattering problem for an inhomogeneous material with a…

Analysis of PDEs · Mathematics 2020-04-15 Isaac Harris , Andreas Kleefeld

Consider the linear Boltzmann equation of radiative transfer in a half-space, with constant scattering coefficient $\sigma$. Assume that, on the boundary of the half-space, the radiation intensity satisfies the Lambert (i.e. diffuse)…

Analysis of PDEs · Mathematics 2018-09-18 Claude Bardos , François Golse , Iván Moyano

Following our recent work [New J. Phys. 10, 053011, (2008)], here we demonstrate that due to strong nonlocal effects additional boundary conditions are essential to characterize the reflection of electromagnetic waves by nonconnected wire…

Materials Science · Physics 2015-05-13 M. G. Silveirinha

We derive new general expressions for the fluctuating electromagnetic field outside a homogeneous material surface. The analysis is based on general results from the thermodynamics of irreversible processes, and requires no consideration of…

Quantum Physics · Physics 2008-11-26 Giuseppe Bimonte , Enrico Santamato

We study the propagation of electromagnetic waves in the limit of geometrical optics for a class of nearly transparent nonlinear uniaxial metamaterials for which their permittivity tensors present a negative principal component. Their…

Optics · Physics 2012-09-28 Vitorio A. De Lorenci , Jonas P. Pereira

We calculate numerically the heat transfer rate between a spatially dispersive sphere and a half-space. By utilising Huygens' principle and the extinction theorem, we derive the necessary reflection coefficients at the sphere and the plate…

Optics · Physics 2018-02-14 Robin Schmidt , Stefan Scheel

We derive the transmission coefficient, $T(\omega)$, for grazing incidence of crystals with spatial dispersion accounting for the excitation of multiple modes with different wave vectors ${\bf k}$ for a given frequency $\omega$. The…

Superconductivity · Physics 2009-11-07 L. N. Bulaevskii , Ch. Helm , A. R. Bishop , M. P. Maley

We discuss the Lorentz model for dispersion and absorption of radiation in dilute, linear and isotropic materials. Initially, with the purpose of making the paper as self-contained as possible, we reproduce the usual calculations concerning…

Classical Physics · Physics 2009-01-15 T. N. C. Mendes , Reinaldo de Melo e Souza , C. Farina

We investigate the fractional diffusion approximation of a kinetic equation in the upper-half plane with diffusive reflection conditions at the boundary. In an appropriate singular limit corresponding to small Knudsen number and long time…

Analysis of PDEs · Mathematics 2019-09-04 Ludovic Cesbron , Antoine Mellet , Marjolaine Puel

A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scattering matrix. The entries of the scattering matrix, as…

Optics · Physics 2022-06-29 Hongyao Wu , Lijun Yuan , Ya Yan Lu

In this report, we achieved total transmission and reflection in a slab of zero index materials with defect(s). By controlling the defect's radius and dielectric constant, we can obtain total transmission and reflection of EM wave. The zero…

Materials Science · Physics 2010-08-19 Viet Cuong Nguyen , Lang Chen

Here we report on the reflectivity and transmissivity of a TE-polarized wave incident on a microcavity containing strongly coupled, in-plane oriented one dimensional (1D) excitons. We first discuss the propagation of the electric field…

Optics · Physics 2019-12-02 F. Le Roux , R. A. Taylor , D. D. C. Bradley

We revisit the electromagnetic problem of wave incidence upon a uniform, dissipative dielectric slab of finite thickness. While this problem is easily solved via interface field continuity, we treat it under the viewpoint of radiative…

Classical Physics · Physics 2018-07-17 J. A. Grzesik

In this work we study theoretically the axial spectral asymmetry of a 1D periodic multilayer systems composed by hybrid two-layers (isotropic/anisotropic) and for photon energies close to the electronic energy gaps of semiconductors…

Mesoscale and Nanoscale Physics · Physics 2016-10-07 Andrea D'Andrea , Norberto Tomassini

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…

Mathematical Physics · Physics 2019-10-23 P. Zhevandrov , A. Merzon , M. I. Romero Rodríguez , J. E. de la Paz Méndez

A simple method to describe spatially dispersive metasurfaces is proposed where the angle-dependent surface susceptibilities are explicitly used to formulate the zero thickness sheet model of practical metasurface structures. It is shown…

Applied Physics · Physics 2021-08-17 João G. Nizer Rahmeier , Tom J. Smy , Jordan Dugan , Shulabh Gupta

In anisotropic crystals, Maxwell's equations permit only birefringence for the propagation of light. Notwithstanding, multirefringent systems comprising more than two propagating modes exist, such as in electron optics and photonic…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 József Cserti , Áron Holló , László Oroszlány

We explore in the present work the near-field radiative heat transfer between two semi-infinite parallel nonlocal dielectric planes by means of fluctuational electrodynamics. We use atheory for the nonlocal dielectric permittivityfunction…

Classical Physics · Physics 2015-07-20 F Singer , Y Ezzahri , Karl Joulain

In the present work the linearized problem of plasma wave reflection from a boundary of a half--space is solved analytically. Specular accommodative conditions of plasma wave reflection from plasma boundary are taken into consideration.…

Mathematical Physics · Physics 2015-05-14 N. V. Gritsienko , A. V. Latyshev , A. A. Yushkanov

The three electromagnetic properties appearing in Maxwell's equations are dielectric permittivity, electrical conductivity and magnetic permeability. The study of point diffractors in a homogeneous, isotropic, linear medium suggests the use…

Geophysics · Physics 2013-06-10 Albane Saintenoy , A. Tarantola
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