The stray- and demagnetizing field from a homogeneously magnetized tetrahedron

Kaspar Kirstein Nielsen*, Andrea Roberto Insinga, Rasmus Bjørk

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

The stray- and demagnetization field tensor for a homogeneously magnetized tetrahedron is found analytically. The tetrahedron is a special case of four triangular faces with constant magnetization-charge surface density, for which we also determine the tensor field. The tensor field is implemented in the open source micromagnetic and magnetostatic simulation framework MagTense and compared with the obtained magnetic field from an FEM solution, showing excellent agreement. This result is important for modeling magnetostatics in general and for micromagnetism in particular as the demagnetizing field of an arbitrary body discretized using conventional meshing techniques is significantly simplified with this approach.
Original languageEnglish
Article number2110205
JournalI E E E Magnetics Letters
Volume10
Number of pages5
ISSN1949-307X
DOIs
Publication statusPublished - 2019

Keywords

  • Magnetostatics
  • Demagnetization tensor field
  • Tetrahedron
  • Electromagnetism
  • MagTense

Cite this

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title = "The stray- and demagnetizing field from a homogeneously magnetized tetrahedron",
abstract = "The stray- and demagnetization field tensor for a homogeneously magnetized tetrahedron is found analytically. The tetrahedron is a special case of four triangular faces with constant magnetization-charge surface density, for which we also determine the tensor field. The tensor field is implemented in the open source micromagnetic and magnetostatic simulation framework MagTense and compared with the obtained magnetic field from an FEM solution, showing excellent agreement. This result is important for modeling magnetostatics in general and for micromagnetism in particular as the demagnetizing field of an arbitrary body discretized using conventional meshing techniques is significantly simplified with this approach.",
keywords = "Magnetostatics, Demagnetization tensor field, Tetrahedron, Electromagnetism, MagTense",
author = "Nielsen, {Kaspar Kirstein} and Insinga, {Andrea Roberto} and Rasmus Bj{\o}rk",
year = "2019",
doi = "10.1109/LMAG.2019.2956895",
language = "English",
volume = "10",
journal = "I E E E Magnetics Letters",
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publisher = "Institute of Electrical and Electronics Engineers",

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The stray- and demagnetizing field from a homogeneously magnetized tetrahedron. / Nielsen, Kaspar Kirstein; Insinga, Andrea Roberto; Bjørk, Rasmus.

In: I E E E Magnetics Letters, Vol. 10, 2110205, 2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - The stray- and demagnetizing field from a homogeneously magnetized tetrahedron

AU - Nielsen, Kaspar Kirstein

AU - Insinga, Andrea Roberto

AU - Bjørk, Rasmus

PY - 2019

Y1 - 2019

N2 - The stray- and demagnetization field tensor for a homogeneously magnetized tetrahedron is found analytically. The tetrahedron is a special case of four triangular faces with constant magnetization-charge surface density, for which we also determine the tensor field. The tensor field is implemented in the open source micromagnetic and magnetostatic simulation framework MagTense and compared with the obtained magnetic field from an FEM solution, showing excellent agreement. This result is important for modeling magnetostatics in general and for micromagnetism in particular as the demagnetizing field of an arbitrary body discretized using conventional meshing techniques is significantly simplified with this approach.

AB - The stray- and demagnetization field tensor for a homogeneously magnetized tetrahedron is found analytically. The tetrahedron is a special case of four triangular faces with constant magnetization-charge surface density, for which we also determine the tensor field. The tensor field is implemented in the open source micromagnetic and magnetostatic simulation framework MagTense and compared with the obtained magnetic field from an FEM solution, showing excellent agreement. This result is important for modeling magnetostatics in general and for micromagnetism in particular as the demagnetizing field of an arbitrary body discretized using conventional meshing techniques is significantly simplified with this approach.

KW - Magnetostatics

KW - Demagnetization tensor field

KW - Tetrahedron

KW - Electromagnetism

KW - MagTense

U2 - 10.1109/LMAG.2019.2956895

DO - 10.1109/LMAG.2019.2956895

M3 - Journal article

VL - 10

JO - I E E E Magnetics Letters

JF - I E E E Magnetics Letters

SN - 1949-307X

M1 - 2110205

ER -