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arXiv · 2302.02640

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

Tahar Zamene Boulmezaoud
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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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Tahar Zamene Boulmezaoud. 2023-02-06. A simple formula of the magnetic potential and of the stray field energy induced by a given magnetization. https://arxiv.org/abs/2302.02640

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