Generating Grating in Cavity Magnomechanics

We investigate the phenomenon of magnomechanically induced grating (MMIG) within a cavity magnomechanical system, comprising magnons (spins in a ferromagnet, such as yttrium iron garnet), cavity microwave photons, and phonons [$\mathit{\text{J.}}\mathit{\text{Li,}}\mathit{\text{S.-Y.}}\mathit{\text{Zhu,}}\mathit{\text{and}}\mathit{\text{G.}}\mathit{\text{S.}}\mathit{\text{Agarwal,}}\mathit{\text{Phys.}}\mathit{\text{Rev.}}\mathit{\text{Lett.}}\mathit{\text{121}}\mathit{\text{,}}\mathit{\text{203601}}\mathit{\text{(2018)}}$]. By applying an external standing wave control, we observe modifications in the transmission profile of a probe light beam, signifying the presence of MMIG. Through numerical analysis, we explore the diffraction intensities of the probe field, examining the impact of interactions between cavity magnons, magnon-phonon interactions, standing wave field strength, and interaction length. MMIG systems leverage the unique properties of magnons, and collective spin excitations with attributes like long coherence times and spin-wave propagation. These distinctive features can be harnessed in MMIG systems for innovative applications in information storage, retrieval, and quantum memories, offering various orders of diffraction grating.