The studies of the stability of FDTD with Mur's absorbing boundary condition of second order in 3-D scattering problems

In this letter, the numerical implementation of Mur's absorbing boundary condition (Mur's ABC) of second order in finite-difference time-domain (FDTD) is analyzed and studied in three-dimensional (3-D) scattering problems. Two new stable upwind finite-difference approximations of Mur's ABC are presented and the later-time instability of FDTD with second-order Mur's ABC in 3-D scattering problems is overcomed. Numerical results clearly exhibit the availability of the two upwind finite-difference approximations of Mur's ABC.