Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method

A perfectly matched layer (PML) medium with complex frequency shifted const itutive parameters is introduced for the three-dimensional alternating dire ction implicit (ADI) formulation of the finite-difference time-domain (FDTD ) method. The absorbing boundary is implemented using the convolutional PML (CPML) approach. It is demonstrated that the resulting ADI-CPML scheme is unconditionally stable. The effectiveness of the absorbing medium as a func tion of the time step is also demonstrated. The proposed method has the adv antage that it allows the application of the ADI method to low-frequency an alysis.