DocumentCode
985538
Title
Prolate harmonics and axisymmetric conductor systems
Author
McCauley, C.J. ; Saunders, R. ; Zisserman, A.
Author_Institution
Dept. of Math. & Phys., Manchester Polytech., UK
Volume
24
Issue
1
fYear
1988
fDate
1/1/1988 12:00:00 AM
Firstpage
70
Lastpage
73
Abstract
A new method is described for calculating magnetostatic field variables of axisymmetric conductor systems, by expanding them as a series of prolate spheroidal harmonics. The authors include, as a special case, the standard spherical harmonic method of M.W. Garrett (1951, 1961). The comparative advantages and disadvantages of the prolate harmonic method and the spherical harmonic method are examined. A simple measure of convergence is derived for the prolate spheroidal harmonic method and confirmed for a conductor of rectangular cross section. The limitations of the prolate harmonic method are discussed
Keywords
magnetostatics; axisymmetric conductor systems; convergence; magnetostatic field variables; prolate spheroidal harmonics; rectangular cross section; Conductors; Convergence; Current density; Equations; Geometry; Integral equations; Magnetostatics; Mass spectroscopy; Mathematics; Physics; Polynomials; Toroidal magnetic fields;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.43859
Filename
43859
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