Correction of Known Position Errors in a Spherical Near to Far-Field Transformation for Long Antennas

Renato Cicchetti1, Francesco D’Agostino2, Flaminio Ferrara2, Claudio Gennarelli2, *, Rocco Guerriero2, Massimo Migliozzi2
1 Department of Information Engineering, Electronics and Telecommunications, University of Rome “La Sapienza”, Rome, Italy
2 Department of Industrial Engineering, University of Salerno, Fisciano SA, Italy

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© 2017 Cicchetti et al.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the Department of Industrial Engineering, University of Salerno, Via Giovanni Paolo II, 132 - 84084 Fisciano (SA), Italy; Tel: +39 089-964297; Fax: +39 089-968730; E-mail:



This paper provides the experimental validation of an efficient iterative procedure to correct known position errors in a spherical near to far-field (NTFF) transformation for elongated antennas which uses a minimum number of NF measurements.


This transformation exploits a non-redundant sampling representation of the voltage detected by the probe obtained by shaping a long antenna with a prolate ellipsoid. The uniform samples, those at the points set by the representation, are accurately reconstructed from the acquired not regularly distributed (non-uniform) ones by using an iterative scheme, which requires a one to one relationship between each uniform sampling point and the corresponding non-uniform one. Then a 2-D optimal sampling formula is adopted to evaluate the input data needed to perform the traditional spherical NTFF transformation from the retrieved non-redundant uniform samples.


Finally, laboratory proofs have been reported to demonstrate the validity of the presented technique from a practical viewpoint.

Keywords: Near to far-field transformations, Non-redundant representations of electromagnetic fields, Probe positioning errors correction, Spherical scan, 2D Optimal sampling, Elongated antennas.