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Author Petrascheck, D.
Source Directory of Open Access Journals (DOAJ)
Content type Text
Publisher Institute for Condensed Matter Physics
File Format HTM / HTML
Date Created 2017-03-29
Copyright Year ©2017
Language English
Subject Domain (in LCC) QC1-999
Subject Keyword Electromagnetic radiation ♦ Vector field ♦ Science ♦ Physics ♦ Helmholtz theorem
Abstract Helmholtz decomposition theorem for vector fields is usually presented with too strong restrictions on the fields and only for time independent fields. Blumenthal showed in 1905 that decomposition is possible for any asymptotically weakly decreasing vector field. He used a regularization method in his proof which can be extended to prove the theorem even for vector fields asymptotically increasing sublinearly. Blumenthal's result is then applied to the time-dependent fields of the dipole radiation and an artificial sublinearly increasing field.
ISSN 1607324X
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2017-03-01
e-ISSN 1607324X
Journal Condensed Matter Physics
Volume Number 20
Issue Number 1
Starting Page 13002


Source: Directory of Open Access Journals (DOAJ)