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

The nonredundant sampling representations of electromagnetic fields are here properly applied 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. It uses a very flexible source modelling, able to fit very well the ultra wide band (UWB) antennas typically employed for communication applications and modern radars. Such a modelling is obtained by considering the antenna as enclosed in a surface formed by two circular bowls with the same aperture diameter, but with eventually different lateral bends. Numerical examples assessing the effectiveness of the interpolation scheme are shown.