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Theory of electromagnetic fields

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, there are solutions to Maxwell's equations repres...

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Detalles Bibliográficos
Autor principal: Wolski, Andrzej
Lenguaje:eng
Publicado: CERN 2011
Materias:
Acceso en línea:https://dx.doi.org/10.5170/CERN-2011-007.15
http://cds.cern.ch/record/1400571
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author Wolski, Andrzej
author_facet Wolski, Andrzej
author_sort Wolski, Andrzej
collection CERN
description 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, there are solutions to Maxwell's equations representing the propagation of electromagnetic fields as waves. We introduce electromagnetic potentials, and show how they can be used to simplify the calculation of the fields in the presence of sources. We derive Poynting's theorem, which leads to expressions for the energy density and energy flux in an electromagnetic field. We discuss the properties of electromagnetic waves in cavities, waveguides and transmission lines.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2011
publisher CERN
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spelling cern-14005712023-03-14T19:48:14Zdoi:10.5170/CERN-2011-007.15http://cds.cern.ch/record/1400571engWolski, AndrzejTheory of electromagnetic fieldsAccelerators and Storage RingsWe 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, there are solutions to Maxwell's equations representing the propagation of electromagnetic fields as waves. We introduce electromagnetic potentials, and show how they can be used to simplify the calculation of the fields in the presence of sources. We derive Poynting's theorem, which leads to expressions for the energy density and energy flux in an electromagnetic field. We discuss the properties of electromagnetic waves in cavities, waveguides and transmission lines.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, there are solutions to Maxwell's equations representing the propagation of electromagnetic fields as waves. We introduce electromagnetic potentials, and show how they can be used to simplify the calculation of the fields in the presence of sources. We derive Poynting's theorem, which leads to expressions for the energy density and energy flux in an electromagnetic field. We discuss the properties of electromagnetic waves in cavities, waveguides and transmission lines.CERNarXiv:1111.4354CERN-2011-007PP.-15-65oai:cds.cern.ch:14005712011-11-21
spellingShingle Accelerators and Storage Rings
Wolski, Andrzej
Theory of electromagnetic fields
title Theory of electromagnetic fields
title_full Theory of electromagnetic fields
title_fullStr Theory of electromagnetic fields
title_full_unstemmed Theory of electromagnetic fields
title_short Theory of electromagnetic fields
title_sort theory of electromagnetic fields
topic Accelerators and Storage Rings
url https://dx.doi.org/10.5170/CERN-2011-007.15
http://cds.cern.ch/record/1400571
work_keys_str_mv AT wolskiandrzej theoryofelectromagneticfields