Optimal antenna synthesis problem solution using the method of auxiliary sources

By means of the scattered field singularities localization, optimal antenna synthesis problem solution with predefined pattern directivity is considered. Using the analytical continuation of the scattered field, along and backwards its propagation, could be determined the positions of their singularities. Determining the coordinates of these singularity points with appropriate polarization and placing in these points the field sources as a corresponding currents, we get the desired directional pattern. Numerical realization of described above algorithm showed ability to determine the positions of the scattered field singularities of the given pattern and the possibility to find optimal distribution of the currents, which creates the predefined far field´s pattern.