Use of the G-TFSF and AFP methods to study scattering from 3D defects in edges or wedges

In 2002 Anantha and Taflove proposed a generalized total-field/scattered-field (G-TFSF) formulation to facilitate the study of infinite scatterers, such as wedges [IEEE Trans. Antennas and Propagat., 50(10):1337-1349, 2002]. In the G-TFSF method, portions of the TFSF boundary are embedded in the perfectly match layer (PML) that terminates the grid. To account for the effect the PML has on the incident field, the equations used to correct the fields along the TFSF boundary employed scalar correction factors. These scalar factors do not account for the fact that the PML is dispersive. Thus, where the TFSF boundary passes through the PML there is leakage of spurious fields in excess of what it would be if one were to account for the dispersion within the PML.