Journal
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS
Volume 456, Issue -, Pages 423-432Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jmmm.2018.02.003
Keywords
Electromagnetic fields; Magnetism; Elliptic integrals; Electromagnetic theory; Finite element method
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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.
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