FDTD/Flux-Corrected Transport Model for Highly Non-Linear Dielectrics

Non-linear ferro-electric materials exhibit electromagnetic shock-forming properties which can be a challenge for electromagnetic modeling algorithms such as finite-difference time-domain (FDTD). If the material response time is sufficiently fast, the shock fronts steepen until the Nyquist sampling criteria is violated, and the resulting aliasing leads to spurious grid oscillations. A flux corrected transport (FCT) algorithm is adapted for use on the staggered FDTD mesh and effectively removes the spurious oscillations. Numerical results demonstrate the effectiveness of the algorithm.