An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn
The exact formulae for calculating the demagnetizing factors of a general ellipsoid along the three main axes <i>a</i> ≥ <i>b</i> ≥ <i>c</i> have been long known. According to these formulae, the demagnetizing factors depend only on the axial ratios <i>b<...
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2024-06-01
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| author | László F. Kiss Imre Bakonyi |
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| description | The exact formulae for calculating the demagnetizing factors of a general ellipsoid along the three main axes <i>a</i> ≥ <i>b</i> ≥ <i>c</i> have been long known. According to these formulae, the demagnetizing factors depend only on the axial ratios <i>b</i>/<i>a</i> and <i>c</i>/<i>a</i>. Although the calculation of the demagnetizing factors is a straightforward task, the calculation itself is not a simple one. Therefore, tabular and graphical representations of these demagnetizing factor data have also been presented which can then be used for approximating the demagnetizing factors of a rectangular ferromagnetic slab with the same axial ratios. It turned out in our recent study, however, that, in some ranges of axial ratios (e.g., for very small <i>c</i>/<i>a</i> values), the available tables and graphs do not provide sufficient resolution for obtaining the demagnetizing factors with reasonable accuracy. It was decided to calculate these missing values, and they are presented here in both tabular and graphical form by giving instructions for how to obtain conveniently further interpolated data. In addition, the previous and current demagnetizing factor data have been replotted and fitted to a polynomial function with high accuracy. The functional form of these fitting polynomials is presented in a table for the whole range of the axial ratios <i>b</i>/<i>a</i> and <i>c</i>/<i>a</i>. By graphically displaying these functions, one can obtain, in a relatively simple manner, the demagnetizing factors of a general ellipsoid with known axial ratios without the need to directly calculate through the exact formulae. This may be helpful in obtaining a quick estimate for the demagnetizing factors of any rectangular ferromagnetic slab of interest. |
| format | Article |
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| spelling | doaj-art-afa84ed90b7f41e5b91393b4d89580212025-08-20T01:55:38ZengMDPI AGMagnetism2673-87242024-06-014317318210.3390/magnetism4030012An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by OsbornLászló F. Kiss0Imre Bakonyi1Institute for Solid State Physics and Optics, HUN-REN Wigner Research Centre for Physics, Konkoly-Thege M. út 29-33, H-1121 Budapest, HungaryInstitute for Solid State Physics and Optics, HUN-REN Wigner Research Centre for Physics, Konkoly-Thege M. út 29-33, H-1121 Budapest, HungaryThe exact formulae for calculating the demagnetizing factors of a general ellipsoid along the three main axes <i>a</i> ≥ <i>b</i> ≥ <i>c</i> have been long known. According to these formulae, the demagnetizing factors depend only on the axial ratios <i>b</i>/<i>a</i> and <i>c</i>/<i>a</i>. Although the calculation of the demagnetizing factors is a straightforward task, the calculation itself is not a simple one. Therefore, tabular and graphical representations of these demagnetizing factor data have also been presented which can then be used for approximating the demagnetizing factors of a rectangular ferromagnetic slab with the same axial ratios. It turned out in our recent study, however, that, in some ranges of axial ratios (e.g., for very small <i>c</i>/<i>a</i> values), the available tables and graphs do not provide sufficient resolution for obtaining the demagnetizing factors with reasonable accuracy. It was decided to calculate these missing values, and they are presented here in both tabular and graphical form by giving instructions for how to obtain conveniently further interpolated data. In addition, the previous and current demagnetizing factor data have been replotted and fitted to a polynomial function with high accuracy. The functional form of these fitting polynomials is presented in a table for the whole range of the axial ratios <i>b</i>/<i>a</i> and <i>c</i>/<i>a</i>. By graphically displaying these functions, one can obtain, in a relatively simple manner, the demagnetizing factors of a general ellipsoid with known axial ratios without the need to directly calculate through the exact formulae. This may be helpful in obtaining a quick estimate for the demagnetizing factors of any rectangular ferromagnetic slab of interest.https://www.mdpi.com/2673-8724/4/3/12demagnetizing factorsgeneral ellipsoidferromagnetic slabs |
| spellingShingle | László F. Kiss Imre Bakonyi An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn Magnetism demagnetizing factors general ellipsoid ferromagnetic slabs |
| title | An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn |
| title_full | An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn |
| title_fullStr | An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn |
| title_full_unstemmed | An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn |
| title_short | An Update to The Demagnetizing Factor Dataset Calculated for The General Ellipsoid by Osborn |
| title_sort | update to the demagnetizing factor dataset calculated for the general ellipsoid by osborn |
| topic | demagnetizing factors general ellipsoid ferromagnetic slabs |
| url | https://www.mdpi.com/2673-8724/4/3/12 |
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