TD optimal sampling interpolation over a plane from NF data collected through a non-conventional plane-rectangular scanning

A time domain (TD) optimal sampling interpolation (OSI) scheme to efficiently reconstruct the transient field radiated by an ultra-wide band (UWB) antenna over a plane in the near-field (NF) region from a minimum number of its NF TD samples, acquired through a non-conventional plane-rectangular scanning, is developed in this study. Such a result has been achieved by properly exploiting the non-redundant sampling representations of electromagnetic fields and modelling the antenna by a proper rotational surface. Since the UWB antennas are usually quasi-planar, such a surface can be conveniently chosen coincident with that of an oblate ellipsoid or with that formed by two bowls with the same circular aperture and possibly different lateral bends. Numerical examples, which assess the accuracy of the related TD OSI representations, are reported.