The premetric approach to electromagnetism in the 'waves are not vectors' debate

A plea for the introduction, in advanced electromagnetics courses, of some basic differential geometric notions: covectors, differential forms, Hodge operators. The main advantages of this evolution should be felt in computational electromagnetism. It may also shed some new light on the concept...

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Bibliographic Details
Main Author:	A. Bossavit
Format:	Article
Language:	English
Published:	Advanced Electromagnetics 2012-09-01
Series:	Advanced Electromagnetics
Subjects:	Maxwell equations differential forms Hodge operator anisotropic Metamaterials
Online Access:	https://aemjournal.org/index.php/AEM/article/view/66

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spelling	doaj-bfc0e8c6300c4c559abcb69b44da8e822020-11-25T02:28:58ZengAdvanced ElectromagneticsAdvanced Electromagnetics2119-02752012-09-011110.7716/aem.v1i1.6666The premetric approach to electromagnetism in the 'waves are not vectors' debateA. Bossavit0LGEP, CNRS, University Paris Sud A plea for the introduction, in advanced electromagnetics courses, of some basic differential geometric notions: covectors, differential forms, Hodge operators. The main advantages of this evolution should be felt in computational electromagnetism. It may also shed some new light on the concept of material isotropy. https://aemjournal.org/index.php/AEM/article/view/66Maxwell equationsdifferential formsHodge operatoranisotropicMetamaterials
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Bossavit
spellingShingle	A. Bossavit The premetric approach to electromagnetism in the 'waves are not vectors' debate Advanced Electromagnetics Maxwell equations differential forms Hodge operator anisotropic Metamaterials
author_facet	A. Bossavit
author_sort	A. Bossavit
title	The premetric approach to electromagnetism in the 'waves are not vectors' debate
title_short	The premetric approach to electromagnetism in the 'waves are not vectors' debate
title_full	The premetric approach to electromagnetism in the 'waves are not vectors' debate
title_fullStr	The premetric approach to electromagnetism in the 'waves are not vectors' debate
title_full_unstemmed	The premetric approach to electromagnetism in the 'waves are not vectors' debate
title_sort	premetric approach to electromagnetism in the 'waves are not vectors' debate
publisher	Advanced Electromagnetics
series	Advanced Electromagnetics
issn	2119-0275
publishDate	2012-09-01
description	A plea for the introduction, in advanced electromagnetics courses, of some basic differential geometric notions: covectors, differential forms, Hodge operators. The main advantages of this evolution should be felt in computational electromagnetism. It may also shed some new light on the concept of material isotropy.
topic	Maxwell equations differential forms Hodge operator anisotropic Metamaterials
url	https://aemjournal.org/index.php/AEM/article/view/66
work_keys_str_mv	AT abossavit thepremetricapproachtoelectromagnetisminthewavesarenotvectorsdebate AT abossavit premetricapproachtoelectromagnetisminthewavesarenotvectorsdebate
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The premetric approach to electromagnetism in the 'waves are not vectors' debate

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