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The fallacies associated with the gauge concept in electromagnetism are illustrated. A clearer and more valid formulation of the basics of classical electromagnetism is provided by recognizing existing physical constraints as well as the…

Classical Physics · Physics 2014-11-21 Paul J. Cote

The paper explores a theoretical possibility of resonant amplification of electromagnetic modes generated by a nonlinear effect in Euler-Heisenberg electrodynamics. Precisely, we examine the possibility of the amplification for the third…

Optics · Physics 2022-01-19 Ilia Kopchinskii , Petr Satunin

The statistical properties of a classical electromagnetic field in interaction with matter are numerically investigated on a one-dimensional model of a radiant cavity, conservative and with finite total energy. Our results suggest a trend…

chao-dyn · Physics 2016-08-31 Giuliano Benenti , Giulio Casati , Italo Guarneri

Resonant electromagnetic modes are analyzed inside a dielectric cavity of equilateral triangular cross section and refractive index n, surrounded by a uniform medium of refractive index n'. The field confinement is determined only under the…

Optics · Physics 2013-05-08 G. M. Wysin

We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the…

Mathematical Physics · Physics 2016-05-24 Sergey I. Kryuchkov , Nathan A. Lanfear , Sergei K. Suslov

The mode volume is a very important figure of merits, which transversally arouse the physics and applications of electromagnetic cavities. Its modern definition was not obtained simply, and I try to briefly summarize the evolution of ideas.…

Optics · Physics 2020-11-20 Philippe Lalanne

The resemblance between electrons and optical waves has strongly driven the advancement of mesoscopic physics. However, electron waves have yet to be understood in open cavity structures which have provided contemporary optics with rich…

We consider classical and quantum electromagnetic fields in a three-dimensional (3D) cavity and in a waveguide with oscillating boundaries of the frequency $\Omega $. The photons created by the parametric resonance are distributed in the…

Quantum Physics · Physics 2009-10-30 Jeong-Young Ji , Kwang-Sup Soh , Rong-Gen Cai , Sang Pyo Kim

In the first quarter of the 20th century, physicists were not aware of the existence of classical electromagnetic zero-point radiation nor of the importance of special relativity. Inclusion of these aspects allows classical electron theory…

Classical Physics · Physics 2022-01-11 Timothy H. Boyer

We show that there exists a choice of gauge in which the electromagnetic 4-potential may be written as the difference of two 4-velocity vector fields describing the motion of a two-component space-filling relativistic fluid. Maxwell's…

Classical Physics · Physics 2010-12-13 Sabbir Rahman

"Electromagnetic mass" where gravitational mass and other physical quantities originate from the electromagnetic field alone has a century long distinguished history. In the introductory chapter we have divided this history into three broad…

General Relativity and Quantum Cosmology · Physics 2007-10-31 Sumana Bhadra

The modes of the electromagnetic field are solutions of Maxwell's equations taking into account the material boundary conditions. The field modes of classical optics - properly normalized - are also the mode functions of quantum optics.…

Quantum Physics · Physics 2014-11-27 Birgit Stiller , Ulrich Seyfarth , Gerd Leuchs

In this paper, we discuss the Maxwell equations in terms of differential forms, both in the 3-dimensional space and in the 4-dimensional space-time manifold. Further, we view the classical electrodynamics as the curvature of a line bundle,…

Mathematical Physics · Physics 2011-12-06 Shenghua Du , Cheng Hao , Yueke Hu , Yuming Hui , Quan Shi , Li Wang , Yuqing Wu

We consider the question whether electromagnetism can be derived from quantum physics of measurements. It turns out that this is possible, both for quantum and classical electromagnetism, if we use more recent innovations such as smearing…

Mathematical Physics · Physics 2017-01-18 Andreas Andersson

Angular momenta of electromagnetic waves are important both in concepts and applications. In this work, we systematically discuss two types of angular momenta, i.e., spin angular momentum and orbital angular momentum in various cases, e.g.,…

Some connections between quantum mechanics and classical physics are explored. The Planck-Einstein and De Broglie relations, the wavefunction and its probabilistic interpretation, the Canonical Commutation Relations and the Maxwell--Lorentz…

Classical Physics · Physics 2009-11-10 J. H. Field

In absence of currents and charges the quantized electromagnetic field can be described by wave functions which for each individual wave vector are normalized to one. The resulting formalism involves reducible representations of the…

Quantum Physics · Physics 2017-05-05 Jan Naudts

This paper has been withdrawn. See quant-ph/0408115: G. M. D'Ariano, P. Perinotti and P. Lo Presti, "Classical randomness in quantum measurements"

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano , Paoloplacido LoPresti

Electromagnetic cavity modes in photonic and plasmonic resonators offer rich and attractive regimes for tailoring the properties of light-matter interactions. Yet there is a disturbing lack of a precise definition for what constitutes a…

Mesoscale and Nanoscale Physics · Physics 2013-12-23 Philip Trøst Kristensen , Stephen Hughes

Anisotropy of a space naturally leads to direction dependent electromagnetic tensors and electromagnetic potentials. Starting from this idea and using variational approaches and exterior derivative formalism, we extend some of the classical…

Mathematical Physics · Physics 2009-11-11 Nicoleta Voicu-Brinzei , Sergey Siparov
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