A proof of the perfect matching property of PMLs in static fields

An improved proof of the perfect matching property of fictitious anisotropic layers (PMLs) with the product of the relative permittivities in two directions equal to 1 is presented for the static case. An example involving a three-dimensional magnetic problem illustrates the feasibility of PMLs for magnetostatic fields, too. Index terms - Finite element methods, magnetostatic analysis, open boundaries, perfectly matched layers.