Demagnetizing factors of rectangular prisms and ellipsoids
We evaluate, using exact general formulas, the flux-metric and magnetometric demagnetizing factors, N/sub f,m/, of a rectangular prism of dimensions 2a/spl times/2b/spl times/2c with susceptibility /spl chi/=0 and the demagnetizing factor, N, of an ellipsoid of semiaxes a, b. and c along the c axis....
Gespeichert in:
Veröffentlicht in: | IEEE transactions on magnetics 2002-07, Vol.38 (4), p.1742-1752 |
---|---|
Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext bestellen |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | We evaluate, using exact general formulas, the flux-metric and magnetometric demagnetizing factors, N/sub f,m/, of a rectangular prism of dimensions 2a/spl times/2b/spl times/2c with susceptibility /spl chi/=0 and the demagnetizing factor, N, of an ellipsoid of semiaxes a, b. and c along the c axis. The results as functions of longitudinal and transverse dimension ratios are listed in tables and plotted in figures. The three special cases of b/spl Gt/(ca)/sup 1/2/, b/spl Lt/(ca)/sup 1/2/, and a=b are analyzed together with the general case, to quantitatively show the validity of approximate formulas for special cases. N/sub f,m/ of prisms with any given values of /spl chi/ may be estimated to an accuracy about 10%, since 1) N/sub f,m/ of prisms with a=b are very near those of cylinders, for which the /spl chi/ dependence has been calculated quite completely; 2) the /spl chi/ dependence of the transverse N/sub f,m/ of prisms with b=/spl infin/ (rectangular bars) have recently been calculated completely; and 3) N/sub f,m/(X=/spl infin/) for prisms of great longitudinal dimension ratios are close to N of the corresponding ellipsoids. Thus, the existing very incomplete results can be used in some cases satisfactorily, although much work has to be done before the actual /spl chi/ dependence of N/sub f,m/ is available as it is for cylinders. |
---|---|
ISSN: | 0018-9464 1941-0069 |
DOI: | 10.1109/TMAG.2002.1017766 |