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In a gravitational field, we analyze the Maxwell equations, the correponding electromagnetic wave and continuity equations. A particular solution for parellel electric and magnetic fields in a gravitational background is presented. These…

High Energy Physics - Theory · Physics 2007-05-23 Sortelano Araujo Diniz , Carlos Pinheiro , F. C. Khanna

We analyze the stability of Maxwell equations in bounded domains taking into account electric and magnetization effects. Well-posedness of the model is obtained by means of semigroup theory. A passitivity assumption guarantees the…

Analysis of PDEs · Mathematics 2020-04-22 Serge Nicaise , Cristina Pignotti

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov

Textbooks play a fundamental role in teaching and learning in school science classrooms. In this paper we investigate the presentation of the nature of the electromagnetic field in a dozen of the world's most popular introductory university…

Physics Education · Physics 2023-05-10 Álvaro Suárez , Arturo C. Marti , Kristina Zuza , Jenaro Guisasola

The propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of a model where the material medium is represented by anharmonic oscillators with cubic nonlinearities (Duffing…

Pattern Formation and Solitons · Physics 2007-05-23 Elena V. Kazantseva , Andrei I. Maimistov , Jean-Guy Caputo

We demonstrate theoretically that electromagnetically induced transparency can be achieved in metamaterials, in which electromagnetic radiation is interacting resonantly with mesoscopic oscillators rather than with atoms. We describe novel…

Materials Science · Physics 2010-01-30 Ph. Tassin , Lei Zhang , Th. Koschny , E. N. Economou , C. M. Soukoulis

We analyze the general radiation emission mechanism from a charged particle moving in a curved inhomogeneous magnetic field. The consideration of the gradient makes the curved vacuum magnetic field compatible with the Maxwell equations and…

Astrophysics · Physics 2009-11-07 T. Harko , K. S. Cheng

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

The solutions of the London equations for the magnetic field expulsion from superconductors are presented in this paper for the cylindrical symmetry. The result is analyzed in detail and represented numerically for the case of a uniform…

Superconductivity · Physics 2014-07-15 Miguel C. N. Fiolhais , Hanno Essén

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

We consider the time-harmonic Maxwell equations in a complex geometry. We are interested in geometries that model polarization filters or Faraday cages. We study the situation that the underlying domain contains perfectly conducting…

Analysis of PDEs · Mathematics 2025-01-30 Ben Schweizer , David Wiedemann

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one…

Mathematical Physics · Physics 2017-04-25 Felipe Vico , Leslie Greengard , Miguel Ferrando

The propagation of electromagnetic waves through disordered layered system is considered in the paradigm of Maxwell's equations homogenization. In spite of the impossibility to describe the system in terms of effective dielectric…

Classical Physics · Physics 2019-01-23 Alexander M. Merzlikin , Roman S. Puzko

Electromagnetic plane waves, solutions to Maxwell's equations, are said to be `transverse' in vacuum. Namely, the waves' oscillatory electric and magnetic fields are confined within a plane transverse to the waves' propagation direction.…

Transformation equations for physical quantities that characterize plane electromagnetic wave propagation in transparent optical media are presented. The Doppler effect, and measurements performed by an observer moving with the wave are…

General Physics · Physics 2008-12-04 B. Rothenstein , A. De Sabata

Recently, the complexity behind manipulations of reflected fields by metasurfaces has been addressed showing that, even in the simplest scenarios, non-local response and excitation of auxiliary evanescent fields are required for perfect…

Optics · Physics 2018-05-04 Ana Diaz-Rubio , Junfei Li , Chen Shen , Steven Cummer , Sergei Tretyakov

It is shown in linear approximation that in the case of one-dimensional problem of transverse electron waves in a half-infinite slab of homogeneous Maxwellian collisionless plasma with the given boundary field frequency two wave branches of…

Plasma Physics · Physics 2007-11-20 V. N. Soshnikov

This article gives an analysis of the behavior of polarizing grids and reflecting polarizers by solving Maxwell's equations, for arbitrary angles of incidence and grid rotation, for cases where the excitation is provided by an incident…

An electromagnetic wave (EMW) interacting with the moving singularity of the charged particle flux undergoes the reflection and absorption as well as frequency change due to Doppler effect and nonlinearity. The singularity corresponding to…

Plasma Physics · Physics 2008-07-08 A. V. Panchenko , T. Zh. Esirkepov , A. S. Pirozhkov , M. Kando , F. F. Kamenets , S. V. Bulanov