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

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.