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

Alessio Caciagli; Roel J. Baars; Albert P. Philipse; Bonny W.M. Kuipers

doi:10.1016/j.jmmm.2018.02.003

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

Alessio Caciagli, Roel J. Baars, Albert P. Philipse, Bonny W.M. Kuipers^*

^*Corresponding author for this work

Utrecht University

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	423-432
Number of pages	10
Journal	Journal of Magnetism and Magnetic Materials
Volume	456
DOIs	https://doi.org/10.1016/j.jmmm.2018.02.003
Publication status	Published - 15 Jun 2018

Keywords

Electromagnetic fields
Electromagnetic theory
Elliptic integrals
Finite element method
Magnetism

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10.1016/j.jmmm.2018.02.003

caciagliFinal published version, 1.11 MBLicence: Taverne

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title = "Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization",

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",

author = "Alessio Caciagli and Baars, {Roel J.} and Philipse, {Albert P.} and Kuipers, {Bonny W.M.}",

year = "2018",

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doi = "10.1016/j.jmmm.2018.02.003",

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TY - JOUR

T1 - Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization

AU - Caciagli, Alessio

AU - Baars, Roel J.

AU - Philipse, Albert P.

AU - Kuipers, Bonny W.M.

PY - 2018/6/15

Y1 - 2018/6/15

N2 - 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.

AB - 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.

KW - Electromagnetic fields

KW - Electromagnetic theory

KW - Elliptic integrals

KW - Finite element method

KW - Magnetism

UR - http://www.scopus.com/inward/record.url?scp=85042849980&partnerID=8YFLogxK

U2 - 10.1016/j.jmmm.2018.02.003

DO - 10.1016/j.jmmm.2018.02.003

M3 - Article

AN - SCOPUS:85042849980

SN - 0304-8853

VL - 456

SP - 423

EP - 432

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

ER -

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

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