Research Article

On the Formulation of the Exchange Field in the Landau-Lifshitz Equation for Spin-Wave Calculation in Magnonic Crystals

Figure 4

Magnonic band structure and profiles of SWs calculated for three different definitions of the exchange field for the 1D MC with the lattice constant of 30 nm and thickness 4 nm (schematically shown in the inset)—for the case of dominating exchange interaction. (a) Magnonic band structure with the Brillouin zone border marked by dashed gray line. In (b) an amplitude of the dynamical component of the magnetization vector, at the border of the 1st Brillouin zone is shown. Its first derivative with respect to the is shown in (c).
764783.fig.004a
(a)
764783.fig.004b
(b)
764783.fig.004c
(c)