An efficient high-order method of moment (HO-MoM) technique, which has been introduced for the scattering of metallic structures, is extended to the solution of electromagnetic scattering by penetrable bodies. It is demonstrated that the HO-MoM solution leads to an exponentially convergent algorithm for scattering by penetrable bodies via the combined surface field integral equation. Both the current and the RCS realize exponential convergence. The proposed method is also computationally efficient in that it only requires a single integration for the computation of near interactions, and far interactions can be computed using a single point kernel evaluation. In general, it has been found that high-order quadrature order on large patches leads to the most computationally efficient solutions, in terms of memory and CPU time versus accuracy.

A perfectly matched layer (PML) medium with complex frequency shifted constitutive parameters is introduced for the three-dimensional alternating direction 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 function of the time step is also demonstrated. The proposed method has the advantage that it allows the application of the ADI method to low-frequency analysis.

A split field perfectly matched layer (PML) medium is introduced for the three-dimensional (3-D) alternating direction implicit (ADI) formulation of the finite-difference time-domain (FDTD) method. It is demonstrated that the ADI-FDTD method remains unconditionally stable with the inclusion of the PML. The effectiveness of the absorbing medium as a function of the time step is also demonstrated.

In this paper, a high-order technique based on a locally-corrected Nystrom scheme is applied to the solution of electromagnetic scattering problems via the volume electric field integral equation. The locally corrected Nystrom method is detailed for the solution of the vector polarization currents. It is demonstrated that this scheme converges in a high-order manner for the scattering cross section of a dielectric cylinder of arbitrary cross section, and is computationally efficient.