Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization
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Publication date
2018-06-15
Authors
Caciagli, Alessio
Baars, R.J.
Philipse, Albert P.
Kuipers, B.W.M.
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Document Type
Article
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taverne
Abstract
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.
Keywords
Electromagnetic fields, Electromagnetic theory, Elliptic integrals, Finite element method, Magnetism, Taverne, Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Citation
Caciagli, A, Baars, R J, Philipse, A P & Kuipers, B W M 2018, 'Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization', Journal of Magnetism and Magnetic Materials, vol. 456, pp. 423-432. https://doi.org/10.1016/j.jmmm.2018.02.003