Analyzing dispersive nonlinear optical devices by using FDTD method

Based on the exciting results recently achieved using the finite-difference time domain (FDTD) method, an explicit two dimensional FDTD package for modeling wave propagation in certain kinds of nonlinear media such as 2nd-order nonlinearity, 3rd-order nonlinearity, Kerr effect, Raman effect is proposed. The proposed scheme adopts the polarization equation (PE) philosophy, where all nonlinear effects are expressed by nonlinear polarization terms in the time-space domain Maxwell's equation. The Lorentz dispersive effect in time domain polarization term can also be easily coupled in this scheme, which will lead to a dispersive nonlinearity simulation. Typical examples for pulsed beam self-focusing, scattering, harmonic response are presented in this paper.