NDLI: The use of toroidal boundary conditions in the program POISSON

Content Provider	IEEE Xplore Digital Library
Author	Caspi, S. Helm, M. Laslett, L.J.
Copyright Year	1965
Abstract	The authors consider the use of toroidal coordinates in constructing the boundary to a relaxation mesh for use in analyzing the magnetic fields of circular devices (such as accelerators and spectrometers), and in formulating the boundary conditions that then may be usefully imposed at such boundaries. The procedure adopted makes use internally of the characteristic form of the vector-potential function in a source-free region, when expressed in toroidal coordinates. The relevant properties of associated Legendre functions of half-integral degree are used in this connection and their introduction into the program POISSON is outlined. Results of some test cases are included to illustrate the application of this technique for configurations with median-plane symmetry.<>
Sponsorship	IEEE Magnetics Society
Starting Page	1532
Ending Page	1535
Page Count	4
File Size	376489
File Format	PDF
ISSN	00189464
Volume Number	24
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1988-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Boundary conditions Toroidal magnetic fields Differential equations Magnetostatics Laboratories Linear particle accelerator Apertures Relaxation methods Poisson equations Magnetic analysis
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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