Abstract
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 ▿ 2 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, ★E ∗+γ 2E ∗=0 .
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