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On Helmholtz's theorem in multiply-bounded and multiply-connected regions

✍ Scribed by J. Van Bladel

Publisher
Elsevier Science
Year
1960
Tongue
English
Weight
873 KB
Volume
269
Category
Article
ISSN
0016-0032

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✦ Synopsis

The splitting of a continuous vector function into a gradient plus a curl is possible in an infinite number of ways. The present paper is basically concerned with two particular uniquely determined splittings called electric and magnetic. Eigenvector expansions suitable for these spllttings are examined, and the application of these expansions to the calculation of the various terms of the splitting is considered.

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