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Preprints, Working Papers, ... Year : 2023

A simple formula of the magnetic potential and of the stray field energy induced by a given magnetization

Abstract

The primary aim of this paper is the derivation and the 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 Arar-Boulmezaoud functions. It remains valid even if the magnetization is not of constant magnitude or if the sample is not geometrically bounded. The paper continuous with a direct and important application which consists in a fast summation technique of the stray field energy. The convergence of this technique is established and its efficiency is proved by various numerical experiences.
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Dates and versions

hal-04438955 , version 1 (31-01-2023)
hal-04438955 , version 2 (05-02-2024)

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Tahar Zamene Boulmezaoud. A simple formula of the magnetic potential and of the stray field energy induced by a given magnetization. 2023. ⟨hal-04438955v1⟩
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