General Solution of the Hollow Cylinder and Concentric DC Surface Current

Author

Bidinosti, Christopher P. ; Sakamoto, Yuta ; Asahi, Koichiro

Author_Institution

Dept. of Phys., Univ. of Winnipeg, Winnipeg, MB, Canada

Volume

5

fYear

2014

fDate

2014

Firstpage

1

Lastpage

4

Abstract

We provide a general solution to the problem of an infinitely long, hollow cylinder of uniform, linear permeability in the presence of any continuous dc current distribution residing on a concentric cylindrical surface. The solution is expressed in terms of the spatial Fourier components of the applied surface current. Applications of this study include the design of dc magnetic shields and shield-coupled coils, as well as a benchmark for finite-element analysis. Examples involving canonical current structures-loops, solenoids, and saddle-shaped coils-are presented.

Keywords

coils; finite element analysis; magnetic permeability; magnetic shielding; shapes (structures); applied surface current; benchmark; concentric DC surface current; continuous dc current; dc magnetic shields; finite element analysis; hollow cylinder; linear permeability; shield coupled coils; spatial Fourier components; Coils; Equations; Fourier transforms; Magnetic noise; Magnetic shielding; Permeability; Solenoids; Electromagnetics; Helmholtz coil; gapped solenoid; hollow cylinder; saddle coil; shielding; surface current;

fLanguage

English

Journal_Title

Magnetics Letters, IEEE

Publisher

ieee

ISSN

1949-307X

Type

jour

DOI

10.1109/LMAG.2014.2330346

Filename

6832517