Analytic solution of magnetic induction distribution of ideal hollow spherical field sources
| Autor: | Xibin Xu, Min Gu, Yang Yu, X.B. Xu, Dingwei Lu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
010302 applied physics
Physics Field (physics) Magnetic energy Demagnetizing field Scalar (physics) 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Electronic Optical and Magnetic Materials Magnetic field Computational physics Electromagnetic induction Magnetization Classical mechanics Magnet 0103 physical sciences 0210 nano-technology |
| Zdroj: | Journal of Magnetism and Magnetic Materials. 443:397-403 |
| ISSN: | 0304-8853 |
| DOI: | 10.1016/j.jmmm.2017.07.058 |
| Popis: | The Halbach type hollow spherical permanent magnet arrays (HSPMA) are volume compacted, energy efficient field sources, and capable of producing multi-Tesla field in the cavity of the array, which have attracted intense interests in many practical applications. Here, we present analytical solutions of magnetic induction to the ideal HSPMA in entire space, outside of array, within the cavity of array, and in the interior of the magnet. We obtain solutions using concept of magnetic charge to solve the Poisson’s and Laplace’s equations for the HSPMA. Using these analytical field expressions inside the material, a scalar demagnetization function is defined to approximately indicate the regions of magnetization reversal, partial demagnetization, and inverse magnetic saturation. The analytical field solution provides deeper insight into the nature of HSPMA and offer guidance in designing optimized one. |
| Databáze: | OpenAIRE |
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