Electrostriction-induced third-order nonlinear optical susceptibility in metamaterials

In this paper, a theoretical method is presented to calculate third-order nonlinear optical susceptibility resulting from electrostriction (TNSRE) in metamaterials. The presented model is based on homogenization and effective medium theory. We have demonstrated that electrostriction is the dominant mechanism in the enhancement and suppression of the TNSRE. To provide a comprehensive framework that includes different types of metamaterials, we examined all known effective elastic models and effective optical models separately. The numerical results showed that TNSRE has a little dependency on the frequency which decreases at higher frequencies.