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ID 15761
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Sort Key
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Author
Morikawa, Yoshitaka
Hamada, Hiroshi
Abstract
Two variational formulations for electromagnetic field and charged-particle stream configurations, in which both field and particles are described by the field-like variables suited for the problems of electrodynamics, are presented. One of them is directly obtained through slight modifications of Sturrock's original procedure but has a complicated form. The other is obtained through linearization of the preceding one and has a compact form. Both formulations lend themselves to straightforward derivation of the well-known energy-momentum tensor and/or its conservation law. Specifically the latter one is of academic interest because of its compact form. Moreover, as a proof of its practical usefulness the variational principle under the small-amplitude approximation is derived from it, which is known to provide a basis for the study of certain types of instability in plasmas. It is, however, hoped that it will find main applications in the electrodynamics problems concerned with large-amplitude behavior.
Publication Title
Memoirs of the School of Engineering, Okayama University
Published Date
1980-11-29
Volume
volume15
Issue
issue1
Publisher
岡山大学工学部
Publisher Alternative
School of Engineering, Okayama University
Start Page
79
End Page
100
ISSN
0475-0071
NCID
AA00733903
Content Type
Departmental Bulletin Paper
OAI-PMH Set
岡山大学
language
英語
File Version
publisher
NAID
Eprints Journal Name
mfe