Construction of Tensorial Green´s Functions for the Linearized Gilbert Equation for Magnetization Dynamics

Author

Schweiner, F. ; Fahnle, M.

Author_Institution

Max Planck Inst. for Intell. Syst. (formerly Max Planck Inst. for Metals Res.), Stuttgart, Germany

Volume

49

Issue

6

fYear

2013

fDate

Jun-13

Firstpage

2836

Lastpage

2841

Abstract

It is shown that the equations for the components of the tensorial Green´s function for the linearized Gilbert equation are in general very complicated coupled integro-differential equations, mainly because of the effect of dipolar couplings. As an example the theory is worked out for very thin circular discs with circular magnetization at zero external field. Analytical solutions for the components of the tensorial Green´s function are obtained for those discs by neglecting dipolar couplings.

Keywords

Green´s function methods; integro-differential equations; magnetic disc storage; magnetisation; analytical solutions; circular magnetization; coupled integrodifferential equations; dipolar coupling effect; linearized Gilbert equation; magnetization dynamics; tensorial Green´s function components; tensorial Green´s function construction; thin circular discs; zero external field; Boundary conditions; Equations; Green´s function methods; Magnetization; Mathematical model; Linearized Gilbert equation; magnetization dynamics; tensorial Green´s function;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2013.2241074

Filename

6415273