✦ LIBER ✦

The meaning of the vector Laplacian

✍ Scribed by Parry Moon; Domina Eberle Spencer

Publisher: Elsevier Science
Year: 1953
Tongue: English
Weight: 345 KB
Volume: 256
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(53)91160-0

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✦ Synopsis

The increasing use of Maxwell's equations necessitates a careful consideration of the best formulation for electromagnetic problems. Advance in the past has been hindered by an unfortunate notation that employs the same symbol V ~ for two entirely different operators--the vector Laplacian and the scalar Laplacian. A general equation is developed in this paper for the vector Laplacian in any orthogonal, curvilinear coordinate system; and this equation allows the simple formulation of all electrodynamic problems by means of the vector Helmholtz equation,

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