The magnetic polariton propagation in magnonic layered structures is theoretically studied by using a a transfer matrix approach. The layered structures considered here are made up by the periodic and quasiperiodic stacking of two different layers (also known as building blocks, named A and B), where one of them is a ferromagnetic nanofilm (A), while the other is a metamaterial nanolayer (B). For the periodic arrangement, the bulk modes are characterized by two large symmetric bands, with non-reciprocal surface modes between them. The quasiperiodic metamagnetic structure is then built up by following the Fibonacci sequence, whose long range order effect is then investigated, giving rise to an interesting self-similar spectra.
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