Stimulated Brillouin scattering in metamaterials: a new method for estimation based on homogenization approach

We propose a theoretical method for calculating the stimulated Brillouin scattering (SBS) gain coefficient in metamaterials. The presented model is based on homogenization and effective medium theories. We examined all of the optical, acoustic, and opto-acoustic parameters required to calculate SBS gain coefficient in metamaterials and proposed an approximate method for calculating each one. We have shown that the electrostriction is not the only important mechanism, and for different metamaterials, other parameters can play a significant role in the enhancement and suppression of the SBS gain coefficient. This result is consistent with previous work.