On the computation of the demagnetization tensor for uniformly magnetized particles of arbitrary shape. Part II: numerical approach

S. Tandon, M. Beleggia, Y. Zhu, M. De Graef

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

In Part I, we described an analytical approach to the computation of the demagnetization tensor field for a uniformly magnetized particle with an arbitrary shape. In this paper, Part II, we introduce two methods for the numerical computation of the demagnetization tensor field. One method uses a Fourier space representation of the particle shape, the other starts from the real space representation. The accuracy of the methods is compared to theoretical results for the demagnetization tensor of the uniformly magnetized cylinder with arbitrary aspect ratio. Example computations are presented for the hexagonal plate, the truncated paraboloid, and a so-called “Pac-Man” shape, recently designed for MRAM applications. Finally, the magnetostatic self-energy of a uniformly magnetized regular polygonal disk of arbitrary order is analyzed. A linear relation is found between the order of the polygon and the critical aspect ratio for in-plane vs. axial magnetization states.
Original languageEnglish
JournalJournal of Magnetism and Magnetic Materials
Volume271
Issue number1
Pages (from-to)27-38
ISSN0304-8853
DOIs
Publication statusPublished - 2004
Externally publishedYes

Keywords

  • Demagnetization tensor field
  • Shape amplitude
  • Polygonal disk
  • Numerical algorithm
  • Demagnetization energy

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