Articles | Volume 15
Adv. Radio Sci., 15, 11–19, 2017
https://doi.org/10.5194/ars-15-11-2017
Adv. Radio Sci., 15, 11–19, 2017
https://doi.org/10.5194/ars-15-11-2017

  21 Sep 2017

21 Sep 2017

Comparison of non-convex cost functionals for the consideration of phase differences in phaseless near-field far-field transformations of measured antenna fields

Josef Knapp, Alexander Paulus, Carlos Lopez, and Thomas F. Eibert Josef Knapp et al.
  • Chair of High-Frequency Engineering, Technical University of Munich, Arcisstr. 21, 80333 Munich, Germany

Abstract. This work introduces two methods which extend the non-convex minimization problem arising in phaseless (NF) far-field (FF) transformations. With the new extensions, knowledge about phase differences between measurement points can be incorporated into the minimization problem. The additional information helps to avoid stationary points of the minimization cost functional which would otherwise compromise the result of the near-field far-field transformation. The methods are incorporated into the Fast Irregular Antenna Field Transformation Algorithm (FIAFTA), analyzed and compared. Their effectiveness is shown by transforming synthetic near-field data sets with partial knowledge of phase differences to the far-field.