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We introduce a new type of binary magnonic crystal, where Ni$_{80}$Fe$_{20}$nanodots of two different sizes are diagonally connected forming a unit andthose units are arranged in a square lattice. The magnetization dynamics of thesample is measured by using time-resolved magneto-optical Kerr effectmicroscope with varying magnitude and in-plane orientation ($\phi$) of the biasmagnetic field. Interestingly, at $\phi=0^{\circ}$, the spin-wave mode profilesshow frequency selective spatial localization of spin-wave power within thearray. With the variation of $\phi$ in the range $0^{\circ}<\phi\leq45^{\circ}$, we observe band narrowing due to localized to extended spin-wavemode conversion. Upon further increase of $\phi$, the spin-wave modes slowlylose the extended nature and become fully localized again at 90$^{\circ}$. Wehave extensively demonstrated the role of magnetostatic stray fielddistribution on the rotational symmetries obtained for the spin-wave modes.From micromagnetic simulations, we find that the dipole-exchange couplingbetween the nano-dots leads to remarkable modifications of the spin-wave modeprofiles when compared with arrays of individual small and large dots.Numerically, we also show that the physical connection between the nano-dotsprovides more control points over the spin-wave propagation in the lattice atdifferent orientations of bias magnetic field. This new type of binary magnoniccrystal may find potential applications in magnonic devices such as spin-wavewaveguide, filter, coupler, and other on-chip microwave communication devices.

Observation of band narrowing and mode conversion in two-dimensional binary magnonic crystal