Eliminating Interface Reflections in Hybrid Low-Dispersion FDTD Algorithms

摘要

The numerical phase mismatch across FDTD lattice layers with different sets of update equations has been investigated. A predictive equation of numerical reflections across high-order/low-order layers has been derived. Based on this equation the standard Yee (S_(22)) update equations have been modified to allow their implementation around PEC boundaries and other special situations in an otherwise global high-order implementation, while keeping spurious reflections at the hybrid interface to a practical minimum and independent of the traversing wave direction. S_(22) Phase matching has been developed and verified in both S_(24) and M24 high-order hybrid algorithms.