Selective reconstruction of space-time spectra

The relationship between the active component of mutual resistance and radiation patterns of arbitrary receive-transmit antennas is simplified on the basis of the reciprocity theorem. The simplification does not violate the identity of the relationship, and has a useful application to the correction of the near-field holograms of arbitrary sources with the aim of the selective reconstruction of the space-time spectra of homogeneous or inhomogeneous waves. The version of the relationship obtained can also be extended to acoustic antennas. Numerical simulation results are presented concerning the reconstruction of the radiation pattern of a half-wave dipole on the basis of near-field sounding in a cylindrical shielded chamber.