The Roy-Shafai generalization of the Ludwig-3 polarization pattern definition is well-suited to the representation of the far electromagnetic field of a flanged aperture, either a perfect electric conductor (PEC)-flanged aperture with an impressed electric field as was shown by Roy and Shafai or a perfect magnetic conductor (PMC)-flanged aperture with an impressed magnetic field which can be similarly derived. We show that the Roy-Shafai generalization of the Ludwig-3 polarization definition is in fact equivalent to the transformed Ludwig-2 definition. The Ludwig-3 polarization is that of a Huygens source, while the Ludwig-2 polarization definition corresponds to either an electric or, with transformation, a magnetic dipole. That the Roy-Shafai polarization definition is equivalent to a transformed Ludwig-2 definition is reasonable as the rectangular PEC-flanged aperture with an impressed electric field behaves as a magnetic dipole in the low frequency limit and, subject to some restrictions, maintains the same polarization pattern for all frequency assuming the aperture field remains uniform. Likewise, the rectangular PMC-flanged aperture with an impressed magnetic field behaves like an electric dipole in the low-frequency limit and maintains the same polarization pattern for all frequency again, assuming that the aperture field remains uniform and, thus, exhibits a Ludwig-2 polarization pattern.