A systematic Conformal finite-difference time-domain (FDTD) technique for the simulation of arbitrarily curved interfaces between dielectrics

A systematic, three-dimensional methodology is presented in this paper for the finite-difference time-domain modeling of curved dielectric interfaces. Prism cells, appropriately arranged around the interface in order to preserve the duality of the overall lattice, are utilized for the accurate geometrical representation of the arbitrarily shaped dielectrics. The new scheme is enhanced by projection coefficients for the connection of field fluxes and field intensities, and appropriately computed effective permittivity values along the interface between the two media. The minor percentage of these cells in relation to the classical ones that complete the computational grid, minimizes the algorithm's complexity and resource requirements. Its efficiency is proved via the analysis of partially filled resonant cavities.