Title :
Extension and validation of a perfectly matched layer formulation for the unconditionally stable D-H FDTD method
Author :
Schmidt, Stefan ; Lazzi, Gianluca
Author_Institution :
Dept. of Electr. & Comput. Eng., North Carolina State Univ., Raleigh, NC, USA
Abstract :
In this letter, a modification to the recently proposed unconditionally stable D-H ADI FDTD method is presented that considerably reduces the late-time error induced by the corner cells. The PML boundary is derived from the direct discretization of the modified D-H Maxwell´s equations rather than the superposition of uniaxial PML boundaries. An optimal choice of the PML conductivity profile coefficients is proposed. Results show that the reflection error of the PML is limited for increased time step size beyond the Courant-Friedrichs-Lewy stability bound, and maximum reflection errors are 15 to 20 dB lower than the original formulation.
Keywords :
Maxwell equations; computational electromagnetics; electromagnetic wave absorption; finite difference time-domain analysis; numerical stability; Courant-Friedrichs-Lewy stability bound; alternating-direction-implicit marching scheme; corner cells; direct discretization; electromagnetic problems; increased time step size; late-time error; modified Maxwell´s equations; optimal conductivity profile coefficients; perfectly matched layer formulation; reflection error; unconditionally stable D-H ADI FDTD method; Boundary conditions; Conductivity; Dielectric materials; Difference equations; Electromagnetic reflection; Finite difference methods; Maxwell equations; Perfectly matched layers; Stability; Time domain analysis;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2003.815693
