Modeling Material Susceptibility in Silicon for Four-Wave Mixing Based Nonlinear Optics

In We model the third-order material susceptibility $\overleftrightarrow \chi $[3] in silicon waveguides for integrated optics. Analysis of four- wave mixing in these waveguides requires an in-depth study of material nonlinearity - in contrast to modeling light propagation in fibers with the optical nonlinear Schrödinger equation. We include electronic and atomic lattice (Raman) responses of the material and present a relatively easy-to-use representation of the material susceptibility.