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A simple formula of the magnetic potential and of the stray field energy induced by a given magnetization.
- Source :
-
Mathematical Methods in the Applied Sciences . Mar2024, Vol. 47 Issue 4, p2056-2075. 20p. - Publication Year :
- 2024
-
Abstract
- The primary aim of this paper is the derivation and a proof of a simple and tractable formula for the stray field energy in micromagnetic problems. The formula is based on an expansion in terms of a special family of recently discovered functions. It remains valid even if the magnetization is not of constant magnitude or if the sample is not geometrically bounded. The paper continues with a direct and important application which consists in a fast summation technique of the stray field energy. The convergence of this method is established, and its efficiency is proved by various numerical experiments. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MAGNETIZATION
*LANDAU-lifshitz equation
*SPECIAL functions
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 175388151
- Full Text :
- https://doi.org/10.1002/mma.9733