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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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Lenguaje: | eng |
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CERN
2011
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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. |
id | cern-1400571 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2011 |
publisher | CERN |
record_format | invenio |
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 |