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Demagnetization factors for elliptic cylinders

M Beleggia1, M De Graef2, Y T Millev3, D A Goode4 and G Rowlands4

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The magnetometric (volume averaged) demagnetization factors for cylinders with elliptical cross section are computed using a Fourier-space approach and compared with similar results obtained with a different treatment. The demagnetization factors are given as a series expansion in the eccentricity epsilon of the elliptical cross section, where the terms up to order epsilon10 are given explicitly as a function of the cylinder aspect ratio. Other simplified expressions, valid in restricted regimes, are also given. Two different series expansions, obtained previously and valid in particular combinations of shape parameters, are recalled and compared with the new results. After the computation of the magnetostatic and exchange-energy terms associated with a vortex closure-domain state in the elliptic cylinder, the single-domain limit, or the critical size below which the structure can support quasi-uniform magnetization, is derived and discussed.


PACS

75.60.Ej Magnetization curves, hysteresis, Barkhausen and related effects

75.60.Ch Domain walls and domain structure

Subjects

Condensed matter: electrical, magnetic and optical

Dates

Issue 18 (21 September 2005)

Received 3 May 2005, in final form 27 July 2005

Published 2 September 2005



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