A hybrid implicit-explicit FDTD scheme for nonlinear optical waveguide modeling

A hybrid implicit-explicit finite-difference time-domain (FDTD) method for solving the wave equation in nonlinear optical waveguiding structures is pr oposed. The new scheme combines the computational simplicity of the explici t scheme in linear medium regions with the superior stability property of t he partially implicit scheme in regions of nonlinear materials, thus elimin ating potential problems of instability associated with nonlinearity, Simul ation results for Kerr-type nonlinear slab waveguides and corrugated wavegu ides are presented and compared with those obtained using the conventional noniterative FDTD scheme.