The energy bands and the dispersion relations of the spin waves in a ferromagnetic bilayer system

The eigenproblems of spin waves in a ferromagnetic bilayer system with periodic boundary conditions are solved by using the interface-rescaling approach. The energy bands and the dispersion relations of the system are investigated. In addition, the effect of the uniaxial bulk anisotropy field of easy-axis type on the energy bands and the dispersion relations is also discussed. Furthermore, we conjecture that there may be the resonant-confined spin waves in the system.