Generalized Helmholtz Decomposition and Static Electromagnetics
作者:
I.V. Lindell,
G. Dassios,
期刊:
Journal of Electromagnetic Waves and Applications
(Taylor Available online 2000)
卷期:
Volume 14,
issue 10
页码: 1415-1428
ISSN:0920-5071
年代: 2000
DOI:10.1163/156939300X00194
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The well-known decomposition of vector fields to solenoidal and irrotational parts, known as the Helmholtz decomposition, is generalized in terms of more general linear operators involving two arbitrary symmetric, positive-definite and complete (non-singular) dyadics. It is seen that, in terms of the generalized decomposition, potential expansions for the static electric and magnetic fields in anisotropic media can be formed in a straightforward manner. The decomposition theorem is further generalized in a form applicable to the static electromagnetic fields in the most general linear medium (bi-anisotropic medium) characterized by four medium dyadics. In this case, the decomposition theorem and potential expressions are presented in a compact form in terms of six-vectors.
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