Abstract
The eigenproblems of spin waves in a ferromagnetic bilayer system with periodic boundary conditions are solved using the interface-rescaling approach. The Brillouin zone mapping of the system is investigated. Besides three types of known eigenmodes, the bulk mode, the interface mode, and the perfect confined mode, we also find a type of eigenmode, the critical mode, on the boundary of those known eigenmodes, which is composed of the spin wave modulated. This spin wave possesses both the feature of the bulk spin wave and that of the interface spin wave.
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