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Electromagnetic fields

Mauro Fabrizio and Morro Angelo

in Electromagnetism of Continuous Media: Mathematical Modelling and Applications

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198527008
eISBN:
9780191713316
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527008.003.0001
Subject:
Mathematics, Applied Mathematics

This chapter presents the basic notions of electromagnetism, chiefly the balance laws in global and local form. The corresponding Maxwell’s differential equations and boundary conditions are then ... More


Review of classical electrodynamics

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter introduces material relevant to the interaction of atoms and radiation. Maxwell's equations and the electromagnetic wave equation are introduced. The electric and magnetic fields ... More


Polarised electromagnetic waves

S. R Cloude

in Polarisation: Applications in Remote Sensing

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199569731
eISBN:
9780191721908
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199569731.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Geophysics, Atmospheric and Environmental Physics

This chapter considers a basic description of the generation, propagation and scattering of polarised electromagnetic waves. It assumes a starting familiarity with the basic form of Maxwell's ... More


Special Relativity

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0002
Subject:
Mathematics, Applied Mathematics

This chapter begins with a discussion of Newton's mechanics. It then covers Maxwell's equations, Minkowski spacetime, Poincaré group, Lorentz group, special relativity, Newtonian law, relativistic ... More


Taking Charge

Michael Munowitz

in Knowing: The Nature of Physical Law

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195167375
eISBN:
9780199787104
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195167375.003.0006
Subject:
Physics, History of Physics

This chapter considers the other great domain of classical physics, the macroscopic and deterministic world of electric charge. Here, the four Maxwell equations unite electricity with magnetism and ... More


Properties of the electromagnetic field— propagation and scattering

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter gives a theoretical description of the basic properties of electromagnetic radiation. Maxwell's equations are first reviewed; the expressions of electrodynamic potentials in the vacuum ... More


Tensors in special relativity

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0012
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Tensors in a general coordinate system are introduced. When a tensor is expanded in terms of a set of basis (or inverse basis) vectors, the coefficients of expansion are its contravariant (or ... More


Elements of Classical Electrodynamics

John Weiner and Frederico Nunes

in Light-Matter Interaction: Physics and Engineering at the Nanoscale, Second Edition

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198796664
eISBN:
9780191837920
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198796664.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics, Condensed Matter Physics / Materials

Chapter 2 reacquaints the reader with electric and magnetic force fields and their interactions with ponderable media through Maxwell’s equations and the accompanying Lorentz force law. Macroscopic ... More


Fields—Maxwell’s Equations

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

Chapter 3 explores the concept of the field, which is necessary to describe forces without resorting to action at a distance, and uses it to describe electromagnetism, as encapsulated by the Maxwell ... More


Theoretical basis

Leon Mestel

in Stellar Magnetism: Second Edition

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199641741
eISBN:
9780191738609
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641741.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses the following: Maxwell's equations and the magnetohydrodynamic approximation; properties of cosmical plasmas; macroscopic equations for a fully ionized gas and the two-fluid ... More


Fourvectors and Operators

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0015
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter develops techniques that allow relativistically covariant calculations to be done in an elegant manner and introduces what are known as fourvectors. Fourvectors are analogous to the ... More


Fundamentals of Synchrotron Radiation Emission

James A. Clarke

in The Science and Technology of Undulators and Wigglers

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198508557
eISBN:
9780191708770
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198508557.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter derives the general solution for the electric and magnetic fields emitted by an accelerated relativistic charged particle using Maxwell’s equations as the starting point. This general ... More


From Maxwell to the Internet

Arlindo Oliveira

in The Digital Mind: How Science is Redefining Humanity

Published in print:
2017
Published Online:
September 2017
ISBN:
9780262036030
eISBN:
9780262338394
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262036030.003.0003
Subject:
Computer Science, Artificial Intelligence

The chapter covers the developments in science that led to the digital computers of today. It all started with the understanding of electromagnetic phenomena, made possible by the discovery of ... More


Some applications of Maxwell’s equations in matter

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0010
Subject:
Physics, Condensed Matter Physics / Materials

This chapter comprises questions of a miscellaneous nature. They mostly have little in common except that all processes are time-dependent and occur within matter. The first few questions introduce ... More


Electromagnetic fields and waves in vacuum

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

In previous chapters four experimental laws of electromagnetism were encountered: Gauss’s law in electrostatics, Gauss’s law in magnetism, Faraday’s law and Ampere’s law. Now, in this chapter, these ... More


Elements of Classical Field Theory

Weiner John and Frederico Nunes

in Light-Matter Interaction: Physics and Engineering at the Nanoscale

Published in print:
2012
Published Online:
December 2013
ISBN:
9780198567653
eISBN:
9780191775147
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567653.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter starts with a review of the classical electromagnetic field quantities, and their properties when fields enter ponderable matter. Maxwell’s equations are presented, and their ... More


Electromagnetic Theory

B. D. Guenther

in Modern Optics

Published in print:
2015
Published Online:
January 2016
ISBN:
9780198738770
eISBN:
9780191801983
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198738770.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

Electromagnetic theory, Maxwell’s equations, and Poynting’s theorem are used to derive the following properties of light waves: (1) the wave nature of light; (2) the fact that light is a transverse ... More


The General Theory of Relativity (Continued)

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0017
Subject:
Physics, History of Physics

This chapter shows that in the limit of weak fields and low velocities, the equation of the geodesic line reduces to Newton's equation of motion. It proceeds to derive the gravitational field ... More


The Schrödinger Equation in the Presence of Fields

Stephan P. A. Sauer

in Molecular Electromagnetism: A Computational Chemistry Approach

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199575398
eISBN:
9780191775109
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199575398.003.0002
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter derives the Hamiltonian for the electronic Schrödinger equation of a molecule in the presence of external and internal static electric or magnetic fields. It starts off with the ... More


Special Relativity

Nicholas Manton and Nicholas Mee

in The Physical World: An Inspirational Tour of Fundamental Physics

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198795933
eISBN:
9780191837111
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198795933.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter is about Einstein’s theory of special relativity, which is constructed around the premise that there is a maximum speed of interaction, the speed of light, a notion that leads naturally ... More


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