Application of spheroidal functions in magnetostatics

Author

Kildishev, Alexander V.

Author_Institution

Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA

Volume

40

Issue

2

fYear

2004

fDate

3/1/2004 12:00:00 AM

Firstpage

846

Lastpage

849

Abstract

We briefly outline the use of spheroidal functions in extrapolation of the external field of magnetic sources. The extrapolation is carried out by means of spatial harmonic analysis, in which the expansion functions are the spheroidal harmonics. An efficient method for computing external spheroidal harmonic functions of magnetostatic problems has been developed. The method can be utilized to the spatial harmonic characterization of magnetic sources in the prolate and oblate spheroidal coordinates. The new approach minimizes numerical imprecision in a wide range of parameters by using the Wronski determinant as a recurrence basis.

Keywords

determinants; harmonic analysis; magnetostatics; Wronski determinant; expansion functions; external field; extrapolation; magnetic multipole image; magnetic sources; magnetostatics; numerical imprecision; oblate spheroidal coordinates; prolate spheroidal coordinates; recurrence basis; spatial harmonic analysis; spatial harmonic characterization; spheroidal functions; Calibration; Extrapolation; Gas insulated transmission lines; Harmonic analysis; Helium; Laplace equations; Magnetic domains; Magnetic fields; Magnetostatics; Space vehicles;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2004.825429

Filename

1284547