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We report a full (3D) micromagnetic simulation of a set of 100 ferrite(Fe$_3$O$_4$) cylindrical dots, arranged in a 10 by 10 square (planar) array ofside 3.27 $\mu$m, excited by an external in-plane magnetic field. The resultingpower spectrum of magnetic excitations and the dynamical magnetization field atthe resulting resonance modes were investigated. The absorption spectrumdeviates considerably from that of a single particle reference simulation,presenting a mode-shifting and splitting effect. We found an inversion symmetrythrough the center of the array, in the sense that each particle and itsinversion counterpart share approximately the same magnetization mode behavior.Magnonic designs aiming at synchronous or coherent tunings of spin-waveexcitations at given spatially separated points within a regular square arraymay benefit from the new effects here described.

Analysis of the Collective Behavior of a 10 by 10 Array of Fe3O4 Dots in a Large Micromagnetic Simulation