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An unconditionally stable multi-stage alternating direction implicit perfectly matched layer (ADI-PML) algorithm is presented for modelling dispersive open region finite difference time domain (FDTD) applications. In the proposed algorithm, the updating procedure of the field equations from the nth to (n+1)th time step is carried out in four stages with a time increment of Deltat/4. Numerical examples carried out in two dimensions show that the proposed algorithm presents significant improvement over the conventional ADI-PML algorithm for different Courant-Friedrichs-Lewy numbers and for different cell sizes per wavelength.
Date of Publication: September 25 2008