Flux-splitting dispersion-relation-preserving dual-compact upwind scheme for solving the Maxwell's equations on non-staggered grids

This study proposes a flux-splitting Maxwell's equations solver for modeling electromagnetic waves in two-dimensional non-staggered grids. A fifth-order spatially accurate dual-compact upwind scheme was developed in a three-point grid stencil to approximate the first-order derivative term. The integrity of the proposed finite-difference time-domain method for solving TM-mode Maxwell's equations verified using two-dimensional test problems. The benchmark Mie-scattering problem was also shown to be in good agreement with the semi-analytic result.