Exact solutions for the magnetic fields of axisymmetric solenoids and current distributions

被引:91
作者
Conway, JT [1 ]
机构
[1] Agder Reg Coll, Grimstad, Norway
关键词
D O I
10.1109/20.947050
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
An analytical method originally developed for fluid mechanics has been applied to the analogous problem of calculating the magnetic field induced by axisymmetric current sheets, disks, and solenoids. The magnetic fields of a generalized axisymmetric current distribution are given either in closed form as elliptic integral expressions or as integrals of elementary functions over a finite range. The paper concentrates on the analysis of the fields generated by specified current distributions, though the method can also be applied to solve boundary value problems.
引用
收藏
页码:2977 / 2988
页数:12
相关论文
共 38 条
[1]  
ABRAMOWITZ M., 1972, National Bureau of Standards Applied Mathematics Series, V55
[2]  
[Anonymous], SCHIFFSTECHNIK
[3]   Three-dimensional calculation of the magnetic field created by current-carrying massive disks [J].
Azzerboni, B ;
Saraceno, GA ;
Cardelli, E .
IEEE TRANSACTIONS ON MAGNETICS, 1998, 34 (05) :2601-2604
[4]  
Basset A.B, 1888, A Treatise on Hydrodynamics: With Numerous Examples, V2
[5]  
Bateman Harry, 1932, Partial Differential Equations of Mathematical Physics
[6]  
BELTRAMI E, 1918, MEM ACCAD SCI I B 4, V2, P461
[7]  
Binney J., 2008, Galactic Dynamics
[8]  
Breslin JB., 1994, HYDRODYNAMICS SHIP P
[9]   SUPERPOSITION OF SEMI-INFINITE SOLENOIDS FOR CALCULATING MAGNETIC FIELDS OF THICK SOLENOIDS [J].
BROWN, GV ;
FLAX, L .
JOURNAL OF APPLIED PHYSICS, 1964, 35 (06) :1764-&
[10]  
Cohen L., 1907, B BUREAU STANDARDS, V3, P295