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We discuss the theory of electromagnetic fields, with an emphasis on aspects relevant to radiofrequency systems in particle accelerators. We begin by reviewing Maxwell's equations and their physical significance. We show that in free space,…

加速器物理 · 物理学 2015-03-19 Andrzej Wolski

In the framework of metric-free electrodynamics, we start with a {\em linear} spacetime relation between the excitation 2-form $H = ({\cal D}, {\cal H})$ and the field strength 2-form $F = ({E,B})$. This linear relation is constrained by…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Andreas Gross , Guillermo F. Rubilar

The coupling of the electromagnetic field to gravity is discussed. In the premetric axiomatic approach based on the experimentally well established conservation laws of electric charge and magnetic flux, the Maxwell equations are the same…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Friedrich W. Hehl , Yu. N. Obukhov

Within the framework of generally covariant (pre-metric) electrodynamics, we specify a local vacuum spacetime relation between the excitation $H=({\cal D},{\cal H})$ and the field strength $F=(E,B)$. We study the propagation of…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

The premetric approach to electrodynamics provides a unified description of a wide class of electromagnetic phenomena. In particular, it involves axion, dilaton and skewon modifications of the classical electrodynamics. This formalism…

高能物理 - 理论 · 物理学 2009-11-13 Yakov Itin

The electromagnetic theory is, to a large extend, metric independent. Before the metric is introduced, it is called premetric electrodynamics. Metric enters the constitutive relation. We consider this relation for the Friedman model of an…

广义相对论与量子宇宙学 · 物理学 2019-06-26 Bernard Jancewicz

We propose a novel framework that interprets the electromagnetic field as a manifestation of spacetime pseudo-curvature, bridging electromagnetism with the geometric principles of general relativity. By introducing modified field equations,…

经典物理 · 物理学 2025-04-17 Faik Bouhrik , Tiju Thomas

Following Kottler, \'E.Cartan, and van Dantzig, we formulate the Maxwell equations in a metric independent form in terms of the field strength $F=(E,B)$ and the excitation $H=({\cal D}, {\cal H})$. We assume a linear constitutive law…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Friedrich W. Hehl , Yuri N. Obukhov , Guillermo F. Rubilar

Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using…

综合物理 · 物理学 2022-10-11 Hosein Nasrolahpour

We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

广义相对论与量子宇宙学 · 物理学 2020-01-09 Murat Özer

Recently, a number of experimental observations on the superluminal group velocities of pulses propagating in dispersive media have led to reconsidering electromagnetism theory in an unconventional framework. To consider faster-than-light…

综合物理 · 物理学 2023-05-23 Luca Nanni

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

We consider spacetime to be a 4-dimensional differentiable manifold that can be split locally into time and space. No metric, no linear connection are assumed. Matter is described by classical fields/fluids. We distinguish electrically…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Friedrich W. Hehl , Yuri N. Obukhov

The curved spacetime Maxwell equations are applied to the anisotropically expanding Kasner metrics. Using the application of vector identities we derive 2$^\textrm{nd}$-order differential wave equations for the electromagnetic field…

广义相对论与量子宇宙学 · 物理学 2022-11-08 Brett Bochner

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

高能物理 - 理论 · 物理学 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón

We derive Maxwell equations for electric and magnetic fields in curved spacetime from first principles, relaxing an unnecessary assumption on the structure of the four-potential inherent to the standard approach and thus restoring the full…

高能物理 - 唯象学 · 物理学 2023-10-13 Anton V. Sokolov

By modeling a linear, anisotropic and inhomogeneous magnetodielectric medium with two independent set of harmonic oscillators, electromagnetic field is quantized in such a medium. The electric and magnetic polarizations of the medium are…

量子物理 · 物理学 2009-08-18 M. Amooshahi , F. Kheirandish

We quantize the Maxwell theory in the presence of a electric charge in a "dual" Loop Representation, i.e. a geometric representation of magnetic Faraday's lines. It is found that the theory can be seen as a theory without sources, except by…

高能物理 - 理论 · 物理学 2014-11-20 Lorenzo Leal

Electromagnetic fields which solve the vacuum Maxwell equations in one spacetime are well-known to also be solutions in all spacetimes with conformally-related metrics. This provides a sense in which electromagnetism alone cannot be used to…

广义相对论与量子宇宙学 · 物理学 2017-04-13 Abraham I. Harte

By using a method, previously established to calculate electromagnetic fields, we compute the force of light upon a metallic particle. This procedure is based on both Maxwell's Stress Tensor and the Couple Dipole Method. With these tools,…

光学 · 物理学 2009-11-10 P. C. Chaumet , M. Nieto-Vesperinas
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