## 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

## Faraday and Maxwell: The Grand Synthesis

*John C. H. Spence*

### in Lightspeed: The Ghostly Aether and the Race to Measure the Speed of Light

- Published in print:
- 2019
- Published Online:
- October 2019
- ISBN:
- 9780198841968
- eISBN:
- 9780191878084
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198841968.003.0006
- Subject:
- Physics, Atomic, Laser, and Optical Physics, History of Physics

The story of Michael Faraday and the development of field theory in the early nineteenth century and his discovery of the magneto-optical effect, which linked the study of optics and light to ... 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

## Relativistic Wave Equations

*Michael E. Peskin*

### in Concepts of Elementary Particle Physics

- Published in print:
- 2019
- Published Online:
- November 2019
- ISBN:
- 9780198812180
- eISBN:
- 9780191850301
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198812180.003.0003
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

This chapter presents the wave equations that govern the behavior of quantum mechanical particles with spin 0, 1/2, and 1 in relativistic theories. These equations are the Klein-Gordon equation, the ... 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