A Discussion of Helmholtz' Theorem
| Autor: | J. Van Bladel |
|---|---|
| Rok vydání: | 1993 |
| Předmět: |
Pure mathematics
Radiation Finite volume method Solenoidal vector field Mathematical analysis Space (mathematics) Conservative vector field Electronic Optical and Magnetic Materials Helmholtz's theorems Vector field Boundary value problem Electrical and Electronic Engineering Mathematics Vector potential |
| Zdroj: | Electromagnetics. 13:95-110 |
| ISSN: | 1532-527X 0272-6343 |
| Popis: | A vector field can be split into an irrotational part (curl = 0) and a solenoidal one (div = 0). This tutorial paper discusses under which conditions such a splitting is unique, both in infinite space and in a finite volume. In the latter case, multiply-bounded and multiply-connected regions must be considered separately, and electric and magnetic splittings are possible, depending on the boundary conditions imposed on the potentials. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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