Physics – Mathematical Physics
Scientific paper
1998-11-13
Physics
Mathematical Physics
RevTex, 12 pages
Scientific paper
We discuss gauge freedom within the scope of the enlarged Helmholtz theorem and Neumann-Debye decomposition and then demonstrate its realization for the multipole expansion of a electromagnetic current with distinguished toroid moment family. The exact solution to the latter problem was obtained in 1974, but answers to some purely mathematical questions raised by I.B.~French and Y.~Shimamoto~\cite{French} about 40 years ago are given in this paper for the first time.
Bukina Elena N.
Dubovik Vladimir M.
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