Reduction of the 6 × 6 TD Vector Wave Equation into a 3 × 3 Complex Set on a Single FD Grid

The six scalar components of the Maxwell's real time domain equations are reduced in this work into two decoupled sets of 3 × 3 complex equations. Each set consolidated the entire information into three new complex field constituents. Contrary to the conventional staggered grid, all field samples reside on a single finite difference grid. The total number of unknowns is thus reduced, and interpolations are eliminated.