Toroidally symmetric polynomial multipole solutions of the vector laplace equation
1986; Elsevier BV; Volume: 64; Issue: 2 Linguagem: Inglês
10.1016/0021-9991(86)90041-0
ISSN1090-2716
Autores Tópico(s)Quantum chaos and dynamical systems
ResumoA coherent method is given for generating to arbitrary order, the toroidally symmetric, polynomial multipole solutions of the vector Laplace (Grad-Shafranov operator) equation. In a source-free region, the toroidal component of a toroidally symmetric magnetic vector potential may be conveniently expanded in terms of these multipoles which at large aspect ratio reduce to the simple cylindrical form (X+iZ)m. The set of multipoles considered in previous work is shown to be incomplete and additional ones are derived which partially resolve this difficulty. The expansion technique is criticized, and several practical examples are given.
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