Accuracy and Conditioning of Surface-Source Based Near-Field to Far-Field Transformations
Abstract
The conditioning and accuracy of various inverse surface-source formulations are investigated. First, the normal systems of equations are discussed. Second, different implementations of the zero-field condition are analyzed regarding their effect on solution accuracy, conditioning, and source ambiguity. The weighting of the Love-current side constraint is investigated in order to provide an accurate problem-independent methodology. The transformation results for simulated and measured near-field data show a comparable behavior regarding accuracy and conditioning for most of the formulations. Advantages of the Love-current solutions are found only in diagnostic capabilities. Regardless of this, the Love side constraint is a computationally costly way to influence the iterative solver threshold, which is more conveniently controlled with the appropriate type of normal equation. The solution behavior of the inverse surface-source formulations is mostly influenced by the choice of the reconstruction surface. A spherical Huygens surface leads to the best conditioning, whereas the most accurate solutions are found with a tight, possibly convex hull around the antenna under test.
Keywords
Cite
@article{arxiv.2004.08918,
title = {Accuracy and Conditioning of Surface-Source Based Near-Field to Far-Field Transformations},
author = {Jonas Kornprobst and Josef Knapp and Raimund A. M. Mauermayer and Ole Neitz and Alexander Paulus and Thomas F. Eibert},
journal= {arXiv preprint arXiv:2004.08918},
year = {2022}
}
Comments
15 pages, 13 figures, 4 tables, accepted for publication in IEEE Transactions on Antennas and Propagation