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In order to analyse classical electromagnetism in a medium at finite temperature we introduce `an optical density operator', and reformulate Maxwell's equations with the operator, starting from the Dirac-equation-like formulation of…

Optics · Physics 2019-12-17 Daigo Oue

Since a classical charged point particle radiates energy and momentum it is argued that there must be a radiation reaction force. Here we present an action for the Maxwell-Lorentz without self interactions model, where each particle only…

Classical Physics · Physics 2022-02-09 Jonathan Gratus

Poynting theorem plays a very important role in analyzing electromagnetic phenomena. The electromagnetic power flux density is usually expressed with the Poynting vector. However, since Poynting theorem basically focuses on the power…

Classical Physics · Physics 2020-03-03 Gaobiao Xiao

We derive an exact expression for the radiation pressure of a quasi- monochromatic plane wave incident from the free space onto the flat surface of a semi-infinite dielectric medium. In order to account for the total optical momentum…

Optics · Physics 2014-01-29 Masud Mansuripur

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…

Analysis of PDEs · Mathematics 2016-01-05 Liliana Borcea , Josselin Garnier

We give a detailed description of electrodynamics as an emergent theory from condensed-matter-like structures, not only {\it per se} but also as a warm-up for the study of the much more complex case of gravity. We will concentrate on two…

General Relativity and Quantum Cosmology · Physics 2014-12-12 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gil Jannes

This paper offers a conceptually straightforward method for the calculation of stresses in polarisable media based on the notion of a drive form and its property of being closed in spacetimes with symmetry. After an outline of the notation…

Classical Physics · Physics 2015-05-13 R. W. Tucker , T. J. Walton

We present an exactly solvable model of a classical dielectric medium that gives an unambiguous local decomposition of field and charge motion and their contribution to the conserved quantities. The result is a set of four branches to the…

Optics · Physics 2015-02-24 Clifford Chafin

Starting from the experimental fact that a moving charge experiences the Lorentz force and applying the fundamental principles of simplicity (first order derivatives only) and linearity (superposition principle), we show that the structure…

Classical Physics · Physics 2016-05-27 Gerhard Diener , Jürgen Weissbarth , Frank Grossmann , Rüdiger Schmidt

Invoking Maxwell's classical electrodynamics in conjunction with expressions for the electromagnetic (EM) energy, momentum, force, and torque, we use a few simple examples to demonstrate the nature of linear and angular momentum exchange…

Optics · Physics 2018-09-17 Masud Mansuripur

We review the energy concept in the case of a continuum or a system of fields. First, we analyze the emergence of a true local conservation equation for the energy of a continuous medium, taking the example of an isentropic continuum in…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Mayeul Arminjon

We derive an alternative formulation of the field equations for macroscopic electromagnetic fields in a linear magneto-dielectric medium as an identity of the Maxwell--Minkowski equations, complementing a variety of other representations…

Classical Physics · Physics 2022-02-14 Michael E. Crenshaw

Electron density and electron momentum density, while independently tractable experimentally, bear no direct connection without going through the many-electron wave function. However, invoking a variant of the constrained-search formulation…

Atomic Physics · Physics 2009-11-11 M. K. Harbola , Rajendra R. Zope , Anjali Kshirsagar , Rajeev K. Pathak

The problem of constructing a model of an extended charged particle within the context of general relativity has a long and distinguished history. The distinctive feature of these models is that, in some way or another, they require the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Ponce de Leon

We provide for the first time the exact solution of Maxwell's equations for a massless charged particle moving on a generic trajectory at the speed of light. In particular we furnish explicit expressions for the vector potential and the…

High Energy Physics - Theory · Physics 2015-06-18 Francesco Azzurli , Kurt Lechner

In this paper the macroscopic Einstein and Maxwell equations for system, in which the electromagnetic interactions are dominating (for instance, the cosmological plasma before the moment of recombination), are derived. Ensemble averaging of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alexei V. Zakharov

We express Maxwell's equations as a single equation, first using the divergence of a special type of matrix field to obtain the four current, and then the divergence of a special matrix to obtain the Electromagnetic field. These two…

Mathematical Physics · Physics 2007-05-23 Daniel Henry Gottlieb

The search for the gravitational energy-momentum tensor is often qualified as an attempt of looking for ``the right answer to the wrong question''. This position does not seem convincing to us. We think that we have found the right answer…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S V Babak , L P Grishchuk

For smooth solutions to Maxwell's equations sourced by a smooth charge-current distribution $j_a$ in stationary, asymptotically flat spacetimes, one can prove an energy conservation theorem which asserts the vanishing of the sum of (i) the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Theodore C. Quinn , Robert M. Wald

Attempts to explain the refraction of light in dispersive media in terms of a photon or "corpuscular" model have heretofore been unable to account for the observed decrease in the speed of light as it passes from air into a region of higher…

General Physics · Physics 2007-05-23 Robert J. Buenker , Pedro L. Muino