Optimal sampling interpolation over a plane from transient bi-polar near-field data

The non-redundant sampling representations of electromagnetic fields are properly applied in this study to develop an optimal sampling interpolation formula over a plane in the time domain (TD) from a minimum number of bi-polar near-field data. To this end, the ultra wide band antennas typically employed for communication applications and modern radars and characterised by a quasi-planar geometry are modelled as enclosed either in an oblate ellipsoid or in a flexible surface formed by two circular bowls with the same aperture diameter, but with eventually different lateral bends. In both the cases, numerical examples, assessing the effectiveness of the TD interpolation schemes, are shown.