Demagnetization factors for cylindrical shells and related shapes

0350362 - FZÚ 2011 RIV NL eng J - Článek v odborném periodiku
Beleggia, M. - Vokoun, David - De Graef, M.
Demagnetization factors for cylindrical shells and related shapes.
Journal of Magnetism and Magnetic Materials. Roč. 321, č. 9 (2009), s. 1306-1315. ISSN 0304-8853. E-ISSN 1873-4766
GRANT EU: European Commission(XE) 46559 - CERINKA
Výzkumný záměr: CEZ:AV0Z10100520
Klíčová slova: demagnetization factor * magnetostaticenergy * nano-ring * core-shell * dipolar interaction * shape anisotropy
Kód oboru RIV: BM - Fyzika pevných látek a magnetismus
Impakt faktor: 1.204, rok: 2009

Magnetostatic self and interaction energies can be computed via demagnetization factors whenever the magnetic state is close to a uniform state, e.g. in the presence of a strong applied field, or when the dimensions involved are within the single-domain limit. We derive an alytical expressions for the demagnetization factors of cylindrical shells and rings with rectangular and square cross-sections. The factors are given either as a combination of elliptic integrals or as a series expansion in powers of the dimensionless ratio between inner and outer radii. Limiting cases are analysed for particular ranges of the shape parameters. We also investigate the ring with a square cross-section, and the elliptic ring, where analytical expressions are provided only forsmall eccentricity. Finally, we introduce the dipolar coupling integral encoding magnetostatic interactions between a magnetized cylinder and a thin coating on its lateral surface.
Trvalý link: http://hdl.handle.net/11104/0190381