Nonlinear Maxwell equations and the Poynting theorem

Considering that classical electrodynamics is essentially a covariant theory, we propose a simple heuristic approach to nonlinear Maxwell equations where certain scalar fields are coupled to the electromagnetic (EM) field. This leads us to introduce a new (nonlinear) version of the Poynting theorem....

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Bibliographic Details
Published inEuropean journal of physics Vol. 42; no. 1; pp. 15201 - 15209
Main Author Bruce, S A
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.01.2020
Subjects
Maxwell equations
nonlinear electrodynamics
Poynting theorem
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Summary:Considering that classical electrodynamics is essentially a covariant theory, we propose a simple heuristic approach to nonlinear Maxwell equations where certain scalar fields are coupled to the electromagnetic (EM) field. This leads us to introduce a new (nonlinear) version of the Poynting theorem. This model seems to have solutions in which coupled scalar fields and EM waves propagate. This work could provide students with a first introduction to the basics of nonlinear electrodynamics within the framework of a new research problem. The content of this article is suitable for advanced graduate students in theoretical particle physics.
Bibliography:EJP-105461.R1
ISSN:0143-0807
1361-6404
DOI:10.1088/1361-6404/abb296