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Multiferroic phases of materials like YM${}_{2}$O${}_{5}$ feature an optical magnetoelectric effect on the resonance of the electromagnon. The effect manifests itself in nonreciprocal directional dichroism. Here, the authors examine the role of the commensurability of noncollinear spin order for the optical magnetoelectric effect for two types of electromagnon. For the electromagnon driven by the exchange striction, the crucial role of the commensurability is indicated by the suppression of the directional dichroism by the magnetic phase transition. On the other hand, the gapped electromagnon due to the spin-current mechanism is identified by the directional dichroism, regardless of (in)commensurability. These results provide new insights into the light-matter interaction driven by dynamical magnetoelectric coupling.

Role of commensurability of spin order for optical magnetoelectric effect with electromagnons in multiferroic YMn2O5