Current density on an arbitrary cylindrical surface producing transverse uniform interior field

被引:7
作者
Bhagwat, KV [1 ]
Karmakar, D [1 ]
机构
[1] Bhabha Atom Res Ctr, Tech Phys & Prototype Engn Div, Bombay 400085, Maharashtra, India
来源
EUROPHYSICS LETTERS | 2000年 / 49卷 / 06期
关键词
D O I
10.1209/epl/i2000-00209-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We examine the possibility of obtaining an exact analytical expression for the surface current density on a cylinder of arbitrary cross-section necessary to produce a magnetic field which is transverse to its axis and uniform in its interior. The mathematical formulation leads to the well-studied Riemann-Hilbert problem from the theory of singular integral equations with a Cauchy-type kernel. We solve this problem for a general class of cylindrical surfaces and obtain the corresponding expression for the surface current density. As an illustration of the general class, we present a rederivation of well-known results: for surface current density on elliptical and circular cylinders and also discuss two non-elliptical cylindrical surfaces.
引用
收藏
页码:715 / 721
页数:7
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