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The standard derivations of electromagnetic energy and momentum in media take Maxwell's equations as the starting point. It is well known that for dispersive media this approach does not directly yield exact expressions for the energy and…

光学 · 物理学 2015-05-19 T. G. Philbin

We consider a semi-infinite spatially dispersive dielectric with unequal transverse and longitudinal susceptibilities. The effect of the boundary is characterized by arbitrary reflection coefficients for polarization waves in the material…

光学 · 物理学 2017-01-09 R. J. Churchill , T. G. Philbin

The Maxwell equations for an homogeneous medium in which electric currents are composed of Ohmic, diffusive and impressed currents are written in the static approximation in which displacements currents are neglected. Closed exact…

生物物理 · 物理学 2016-10-26 Alejandro Cabo , Jorge J. Riera , Pedro A. Valdes Hernandez

We study the linear phenomenological Maxwell's equations in the presence of a polarizable and magnetizable medium (magnetodielectric). For a dispersive, non-absorptive, medium with equal electric and magnetic permeabilities, the latter can…

光学 · 物理学 2015-05-13 B. Gralak , A. Tip

In media with strong spatial dispersion the electric displacement vector and the electric field are typically linked by a partial differential equation in the bulk region. The objective of this work is to highlight that in the vicinity of…

计算物理 · 物理学 2015-06-05 João T. Costa , Mário G. Silveirinha

We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic field. We show for such mediums that electromagnetic waves…

偏微分方程分析 · 数学 2008-05-15 Yuliya V. Namlyeyeva , Roman M. Taranets

Maxwell's macroscopic equations combined with a generalized form of the Lorentz law of force are a complete and consistent set of equations. Not only are these five equations fully compatible with special relativity, they also conform with…

光学 · 物理学 2014-03-03 Masud Mansuripur

Positivity bounds - the consequences of requiring a unitary, causal, local UV completion - place strong restrictions on theories of dark energy and/or modified gravity. We derive and investigate such bounds for Horndeski scalar-tensor…

宇宙学与河外天体物理 · 物理学 2020-07-28 Scott Melville , Johannes Noller

The macroscopic equations of Maxwell combined with a generalized form of the Lorentz law are a complete and consistent set; not only are these five equations fully compatible with the special theory of relativity, they also conform with the…

光学 · 物理学 2012-08-07 Masud Mansuripur

The force density on matter and the kinetic energy-momentum tensor of the electromagnetic field in matter are obtained starting from Maxwell equations and Lorentz force at microscopic level and averaging over a small region of space-time.…

经典物理 · 物理学 2014-08-18 Rodrigo Medina , J. Stephany

The differential form of the Maxwell's equations was first derived based on an assumption that the media are stationary, which is the foundation for describing the electro-magnetic coupling behavior of a system. For a general case in which…

经典物理 · 物理学 2022-08-29 Zhong Lin Wang

A quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive and absorbing dielectric medium is developed. The classical Maxwell equations with spatially…

量子物理 · 物理学 2009-10-30 Ho Trung Dung , L. Knoell , D. -G. Welsch

We give a microscopic derivation of the Clausius-Mossotti relations for a homogeneous and isotropic magneto-dielectric medium consisting of radiatively broadened atomic oscillators. To this end the diagram series of electromagnetic…

其他凝聚态物理 · 物理学 2007-09-27 Jürgen Kästel , Michael Fleischhauer , Gediminas Juzeliūnas

Positivity bounds - constraints on any low-energy effective field theory imposed by the fundamental axioms of unitarity, causality and locality in the UV - have recently been used to constrain scalar-tensor theories of dark energy. However,…

宇宙学与河外天体物理 · 物理学 2022-02-08 Claudia de Rham , Scott Melville , Johannes Noller

We establish the well-posedness, the finite speed propagation, and a regularity result for Maxwell's equations in media consisting of dispersive (frequency dependent) metamaterials. Two typical examples for such metamaterials are materials…

数学物理 · 物理学 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

The Maxwell's electromagnetic equations are isomorphic to the motion equation of a linear elastic continuum which is hard to compression though liable to shear deformation. The Coulomb gauge expresses the medium incompressibility. The…

综合物理 · 物理学 2007-05-23 V. P. Dmitriyev

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

偏微分方程分析 · 数学 2016-01-05 Liliana Borcea , Josselin Garnier

General relations for the stored reactive field energy density in passive linear artificial microwave materials are established. These relations account for dispersion and absorption effects in these materials, and they are valid also in…

材料科学 · 物理学 2015-06-24 Sergei Tretyakov

Positivity bounds are theoretical constraints on the Wilson coefficients of an effective field theory. These bounds emerge from the requirement that a given effective field theory must be the low-energy limit of a relativistic quantum…

The present study deals with total internal reflection of a plane electromagnetic wave at an infinite plane boundary between a transparent medium and an amplifying or attenuating lower-index medium. Solutions of Maxwell's equations are…

光学 · 物理学 2023-06-13 Takeyuki Kobayashi
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