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We present an elementary discussion of the momentum transferred by an electromagnetic wave propagating in a dispersive medium. Our analysis is based on Minkowski's electromagnetic momentum density which have been recently seen to be…

Classical Physics · Physics 2018-01-30 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…

Classical Physics · Physics 2022-08-29 Zhong Lin Wang

Within the first quantisation of Maxwell's equations, we introduce the dynamic energy, linear momentum, angular momentum and optical spin of the electromagnetic fields. We show that these different quantities are conserved during the…

Optics · Physics 2010-03-23 Michael Mazilu

The definition of the induced $emf$ as the integral over a closed loop of the Lorentz force acting on a unit positive charge leads immediately to a general law for electromagnetic induction phenomena. The general law is applied to three…

Classical Physics · Physics 2015-02-03 Giuseppe Giuliani

According to the scientific literature, the momentum of a photon in a simple linear dielectric is either $\hbar\omega/(nc)$ or $n\hbar\omega/c$ with a unit vector ${\bf \hat e}_k$ in the direction of propagation. These momentums are…

Optics · Physics 2015-11-18 Michael E. Crenshaw

We study the problem of the definition of the energy-momentum tensor of light in general moving non-dispersive media with linear constitutive law. Using the basic principles of classical field theory, we show that for the correct…

Classical Physics · Physics 2015-02-24 Tomás Ramos , Guillermo F. Rubilar , Yuri N. Obukhov

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 the speed of light is a universal constant is a logical consequence of Maxwell's equations. Here we show the converse is also true. Electromagnetism (EM) and electrodynamics (ED), in all details, can be derived from two simple…

Classical Physics · Physics 2013-12-24 Yousef Sobouti

We address the long-standing controversy regarding the correct description of the electromagnetic energy-momentum tensor in media and its consequences for the Casimir force. The latter being due to the zero-point momentum of the…

Quantum Physics · Physics 2017-10-27 Friedrich Anton Burger , Johnnes Fiedler , Stefan Yoshi Buhmann

We adopt the continuum limit of a linear, isotropic, homogeneous, transparent, dispersion-negligible dielectric of refractive index $n$ and examine the consequences of the effective speed of light in a stationary dielectric, $c/n$, for…

Classical Physics · Physics 2014-04-23 Michael E. Crenshaw

The formulation of a generalized classical electromagnetism that includes both electric and magnetic charges, is explored in the framework of two potential approach. It is shown that it is possible to write an action integral from which one…

Mathematical Physics · Physics 2010-11-11 F. Moulin

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 paper shows the relationship between the major wave equations in quantum mechanics and electromagnetism, such as Schroedinger's equation, Dirac's equation and the Maxwell equations. It is shown that they can be derived in a striking…

Quantum Physics · Physics 2016-05-12 Engel Roza

In moving electromagnetic systems, electromagnetic momentum calculated from the vector potential is shown to be proportional to the field energy of the system. The momentum thus obtained is shown actually to be the same as derived from a…

General Physics · Physics 2025-10-17 Ashok K. Singal

Using the Finite-Difference-Time-Domain (FDTD) method, we compute the electromagnetic field distribution in and around dielectric media of various shapes and optical properties. With the aid of the constitutive relations, we proceed to…

Optics · Physics 2014-01-29 Armis R. Zakharian , Masud Mansuripur , Jerome V. Moloney

We revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum and energy of the electromagnetic field…

Classical Physics · Physics 2018-11-21 Mihai Dondera

We analyse the "Einstein box" thought experiment and the definition of the momentum of light inside matter. We stress the importance of the total energy-momentum tensor of the closed system (electromagnetic field plus material medium) and…

Classical Physics · Physics 2012-04-25 Tomas Ramos , Guillermo F. Rubilar , Yuri N. Obukhov

The force exerted by an electromagnetic body on another body in relative motion, and its minimal expression, the force on moving charges or \emph{Lorentz' force} constitute the link between electromagnetism and mechanics. Expressions for…

Classical Physics · Physics 2021-09-03 M. A. Natiello , Hernán G Solari

A transparent linear magneto-dielectric material in free space that is illuminated by a finite quasimonochromatic field is a thermodynamically closed system, definitively, regardless of what field and material subsystems that one defines.…

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

Maxwell's equations and the Lorentz force density are expressed using an alternative simultaneity gauge. As a result, they describe electrodynamics for an observer travelling with a constant velocity through an isotropic medium. If desired,…

History and Philosophy of Physics · Physics 2013-06-21 Benjamin Nasmith
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