On the Formulation of the Exchange Field in the Landau-Lifshitz Equation for Spin-Wave Calculation in Magnonic Crystals
Figure 2
Structure of a 1D MC (a) and 2D MC (b) considered in this manuscript. 2D MC is formed by cylindrical dots A arranged in a square lattice immersed into a ferromagnetic matrix B. The external magnetic field is applied in the direction of the -axis. Spin waves are assumed to form standing waves in the infinite plane or along axis in (b) and (a), respectively. The thickness of MCs, , is much smaller than the lattice constant and the diameter of dots, or width of stripes .
