Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS

卷:456

Article

Caciagli, Alessio¹  Baars, Roel J.¹  Philipse, Albert P.¹  Kuipers, Bonny W. M.¹ 

[1] Univ Utrecht, Debye Inst Nanomat Sci, Vant Hoff Lab Phys & Colloid Chem, Padualaan 8, NL-3584 CH Utrecht, Netherlands

关键词: Electromagnetic fields;    Magnetism;    Elliptic integrals;    Electromagnetic theory;    Finite element method;   

DOI  :  10.1016/j.jmmm.2018.02.003

来源: Elsevier

【 摘 要 】

An exact analytical expression for the magnetic field of a cylinder of finite length with a uniform, transverse magnetization is derived. Together with known expressions for the magnetic field due to longitudinal magnetization, the calculation of magnetic fields for cylinders with an arbitrary magnetization direction is possible. The expression for transverse magnetization is validated successfully against the well-known limits of an infinitely long cylinder, the field on the axis of the cylinder and in the far field limit. Comparison with a numerical finite-element method displays good agreement, making the advantage of an analytical method over grid-based methods evident. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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