Near-field sampling representation over a sphere from a nonredundant number of data

A two-dimensional sampling interpolation algorithm is proposed here to reconstruct in a fast and accurate way the antenna radiated electromagnetic field over a sphere in the near-field region. It is based on the recent theoretical results regarding the nonredundant field representations on curves and surfaces. The use of a spheroid (prolate or oblate) as modelling of the source allows us to reduce the number of required samples with respect to a spherical source modelling when considering antennas having one or two predominant dimensions. Samples of numerical tests assess the efficiency and the stability of the algorithm. It can be properly employed to obtain a near field-far field transformation with spherical scanning from a minimum number of data