Symmetries and localization properties of defect modes in metamaterial magnonic superlattices

Symmetries and localization properties of defect modes of a one-dimensionsional bi-component magnonic superlattice are theoretically studied. The magnonic superlattice can be seen as a periodic array of nanostripes, where stripes with different width, termed as defect stripes, are periodically introduced. By controlling the geometry of the defect stripes, a transition from dispersive to practically

at spin-wave defect modes can be observed inside the magnonic band gaps. It is shown that the spin-wave profile of the defect modes can be either symmetric or asymmetric by depending on the geometry of the defect. Due to the localization peculiarities of the defect modes, a particular magnonic superlattice is proposed, wherein the excitation of either symmetric or antisymmetric at modes is enabled at the same time. Also, it is demonstrated that the relative frequency position of the asymmetric mode inside the band gap does not significantly change with the application of an external field, while the symmetric modes move to the edges of the frequency band gaps. The results are complemented by numerical simulations, where an excellent agreement is observed between both methods. The proposed theory allows exploring different ways to control the dynamic properties of the defect modes in metamaterial magnonic superlattices, which can be useful for applications on multifunctional microwave devices operating over a broad frequency range.