Implementation of mur first order absorbing boundary condition in efficient 3-D ADI-FDTD

This paper presents the implementation of Mur first order absorbing boundary condition (ABC) in efficient algorithm for 3-D alternating direction implicit finite-difference time-domain (ADI-FDTD) method. The Mur ABC is formulated in compact matrix form by conforming to the ADI generalized splitting formulae. The reflection coefficients for both conventional and efficient 3-D ADI-FDTD with Mur ABC incorporated are computed. It is found that the numerical results are identical which confirm that both methods are equivalent.