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Related papers: Electromagnetic energy-momentum in dispersive medi…

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The total momentum of a thermodynamically closed system is unique, as is the total energy. Nevertheless, there is continuing confusion concerning the correct form of the momentum and the energy-momentum tensor for an electromagnetic field…

Optics · Physics 2015-02-12 Michael E. Crenshaw , Thomas B. Bahder

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…

Mathematical Physics · Physics 2017-12-20 Hoai-Minh Nguyen , Valentin Vinoles

It is well understood that various alternatives are available within EM theory for the definitions of energy density, momentum transfer, EM stress-energy tensor, and so forth. Although the various options are all compatible with the basic…

General Physics · Physics 2010-09-28 H. E. Puthoff

The problem of the electromagnetic energy-momentum tensor is among the oldest and the most controversial in macroscopic electrodynamics. In the center of the issue is a dispute about the Minkowski and the Abraham tensors for moving media.…

General Relativity and Quantum Cosmology · Physics 2008-08-15 Yuri N. Obukhov

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…

Quantum Physics · Physics 2009-10-30 Ho Trung Dung , L. Knoell , D. -G. Welsch

We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that…

Statistical Mechanics · Physics 2018-11-14 Pedro L. Garrido , Joel L. Lebowitz

Time-varying media break temporal symmetries while preserving spatial symmetries intact. Thus, it represents an excellent conceptual framework to investigate the fundamental implications of Noether's theorem for the electromagnetic field.…

We present examples of simple electromagnetic systems in which energy, linear momentum, and angular momentum exhibit interesting behavior. The systems are sufficiently simple to allow exact solutions of Maxwell's equations in conjunction…

Optics · Physics 2015-09-02 Masud Mansuripur

Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric…

Optics · Physics 2013-08-19 Masud Mansuripur , Armis R. Zakharian , Ewan M. Wright

We analytically study the time-averaged electromagnetic energy stored inside scatterers containing inclusions of arbitrary shapes. Assuming the low density of inclusions, we derive the expression for the energy-transport velocity through…

Optics · Physics 2017-10-02 Tiago J. Arruda , Felipe A. Pinheiro , Alexandre S. Martinez

An expression for the electromagnetic field energy density in a dispersive, lossy, left-handed metamaterial, consisting of an array of split-ring resonators and an array of wires is derived. An electromagnetic field with general…

Classical Physics · Physics 2007-05-23 A. D. Boardman , K. Marinov

In this paper a formulation of the field equation for moving media is developed by the generalization of an axiomatic geometric formulation of the electromagnetism in vacuum (Ivezi\'{c} T 2005 Found. Phys. Lett. 18 401. First, the field…

General Physics · Physics 2017-06-06 Tomislav Ivezic

The form of the phenomenological stress-energy-momentum tensor for the electromagnetic field in a class of inhomogeneous, anisotropic magneto-electric media is calculated from first principles, leading to a coherent understanding of the…

Mathematical Physics · Physics 2009-11-11 T. Dereli , J. Gratus , R. W. Tucker

This is paper I of a series of two papers, offering a self-contained analysis of the role of electromagnetic stress-energy-momentum tensors in the classical description of continuous polarizable perfectly insulating media. While…

Classical Physics · Physics 2015-05-18 Shin-itiro Goto , Robin W. Tucker , Timothy J. Walton

The most general expressions of the stored energies for time-harmonic electromagnetic fields are derived from the time-domain Poynting theorem, and are valuable in characterizing the energy storage and transport properties of complex media.…

Classical Physics · Physics 2017-07-19 Wen Geyi

Maxwell equations provide a complete description of the electromagnetic (EM) phenomena, which have been one of the key fundamental-theories of modern physics, such as electromagnetism, optics, quantum theories, etc. The vacuum permittivity…

Classical Physics · Physics 2023-12-25 Zhiwei Sun

Two known, alternative to each other, forms of the Maxwell's electromagnetic equations in a moving uniform media are investigated and discussed. Approach commonly used after Minkowski is based on the two tensors: H^{ab} = (D, H /c) and…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Red'kov , George J. Spix

After more than a century of debate, there remains continuing discomfort over what is the correct expression for the electromagnetic momentum in a dielectric medium. This is the so-called the Minkowski-Abraham controversy. We show that…

Classical Physics · Physics 2017-07-05 Joseph J. Bisognano

Dissipative effects in electromagnetism on macroscopic scales are examined by coarse graining the microscopic Maxwell equations with respect to time. We illustrate a procedure to derive the dissipative effects on the macroscopic scale by…

Statistical Mechanics · Physics 2015-05-14 Asja Jelic , Markus Hütter , Hans Christian Öttinger

A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a…

Quantum Physics · Physics 2015-05-28 F. S. S. Rosa , D. A. R. Dalvit , P. W. Milonni