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We examine the force of the electromagnetic radiation on linear, isotropic, homogeneous media specified in terms of their permittivity epsilon and permeability mu. A formula is proposed for the electromagnetic Lorentz force on the…

Optics · Physics 2014-01-31 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 find that the energy-dynamic tensor of electromagnetic wave in medium defined by Lagrange density is very similar to that of ordinary fluid, and density and pressure can be defined similarly. The pressure here is different from the…

General Physics · Physics 2023-09-08 Gui-Xiong Liang

We defend a natural division of the energy density, energy flux and momentum density of electromagnetic waves in linear media in electromagnetic and material parts. In this division, the electromagnetic part of these quantities have the…

Optics · Physics 2011-04-27 Pablo L. Saldanha

The classical theory of electrodynamics is built upon Maxwell's equations and the concepts of electromagnetic (EM) field, force, energy, and momentum, which are intimately tied together by Poynting's theorem and by the Lorentz force law.…

Classical Physics · Physics 2017-09-25 Masud Mansuripur

We report on the continuity equations for linear momentum and energy associated to a recently introduced electromagnetic formulation based on classical dipolar sources [Eur. Phys. J. Plus 138, 1034 (2023)]. When connected to the…

Optics · Physics 2024-09-10 B. Anghinoni , M. Partanen , N. G. C. Astrath

We argue that the classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the…

Classical Physics · Physics 2013-12-13 Masud Mansuripur , Armis R. Zakharian

While the electromagnetic force is microscopically simply the Lorentz force, its macroscopic form is more complicated, and given by expressions such as the Maxwell stress tensor and the Kelvin force. Their derivation is fairly opaque, at…

Soft Condensed Matter · Physics 2012-07-23 Mario Liu , Klaus Stierstadt

A discussion is given on the interpretation and physical importance of the Minkowski momentum in macroscopic electrodynamics (essential for the Abraham-Minkowski problem). We focus on the following two facets: (1) Adopting a simple…

Quantum Physics · Physics 2017-01-27 Iver Brevik

We perform a detailed study of the connection between hidden momentum and the Abraham-Minkowski debate about the electromagnetic momentum density in material media. The results of a previous work on the subject [P. L. Saldanha and J. S.…

Optics · Physics 2020-12-09 Raul Corrêa , Pablo L. Saldanha

Classical Electrodynamics in ponderable media remains defined by a century-long debate over force and energy localization. While the prevailing view treats competing formulations (Minkowski, Abraham, etc.) as equivalent conventions, this…

Classical Physics · Physics 2026-02-05 Bela Schulte Westhoff

That static electric and magnetic fields can store momentum may be perplexing, but is necessary to ensure total conservation of momentum. Simple situations in which such field momentum is transferred to nearby bodies and point charges have…

Optics · Physics 2012-03-23 Iver Brevik , Simen Å. Ellingsen

Ferromagnetic matter finds its microscopic origin in the intrinsic electron spin, which is considered to be a purely quantum mechanical property of the electron. To incorporate the influence of the electron spin in the microscopic and…

Classical Physics · Physics 2024-06-11 Bela Schulte Westhoff

We find that the energy-momentum tensor of electromagnetic waves in media is very similar to that of ordinary fluids, and concepts such as density, pressure, and energy transfer rate can be similarly defined. On this basis, we conducted a…

Classical Physics · Physics 2023-09-11 Gui-Xiong Liang

To unify and clarify the persistently debated electromagnetic stress tensors (ST) and photon momenta, we establish a theory inspired by the Einstein-Laub formalism inside an arbitrary macroscopic object immersed in any complex medium. Our…

In this paper I compare the Abraham and the Minkowski forms for the momentum pertaining to an electromagnetic wave inside a dielectric or a magnetic material. The discussion is based on a careful treatment of the surface charges and…

Classical Physics · Physics 2017-08-02 Massimo Testa

The momentum of light in dielectric media has been a century-long controversy that continues to attract significant interest. In a linear dielectric medium with refractive index n, the momentum is predicted to be smaller by a factor of n…

Optics · Physics 2025-09-23 Adam B. Cahaya

The Abraham--Minkowski momentum controversy is the outwardly visible symptom of an inconsistency in the use of the energy-momentum tensor in the case of a plane quasimonochromatic field in a simple linear dielectric. We show that the Gordon…

Classical Physics · Physics 2012-11-09 Michael E. Crenshaw

Emergent concepts from astroparticle physics are incorporated into a classical solution of the Einstein-Maxwell equations for a binary magnetohydrodynamic fluid, in order to describe the final equilibrium state of compact objects infused…

Solar and Stellar Astrophysics · Physics 2012-09-18 Zoran Pazameta

The classical electromagnetic self-force on an arbitrary time-dependent electric or magnetic dipole moving with constant velocity in vacuum, and in a medium, is considered. Of course, in vacuum there is no net force on such a particle.…

High Energy Physics - Theory · Physics 2021-01-04 Kimball A. Milton , Hannah Day , Yang Li , Xin Guo , Gerard Kennedy