Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements

The system-matrix method for higher-order probe correction in spherical near-field scanning is based on a renormalized least-squares approach in which the normal matrix closely resembles the identity matrix when most of the energy of the probe pattern resides in the first-order modes. This method wi...

Full description

Saved in:
Bibliographic Details
Main Author: Thorkild B. Hansen
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2012/493705
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562203569422336
author Thorkild B. Hansen
author_facet Thorkild B. Hansen
author_sort Thorkild B. Hansen
collection DOAJ
description The system-matrix method for higher-order probe correction in spherical near-field scanning is based on a renormalized least-squares approach in which the normal matrix closely resembles the identity matrix when most of the energy of the probe pattern resides in the first-order modes. This method will be “stressed-tested” in the present paper by employing probes for which up to 49% of the pattern energy resides in the higher-order modes. The condition number of the resulting normal matrix will be computed, and its “distance” from the identity matrix displayed. It is also shown how the condition number of the normal matrix can be further reduced.
format Article
id doaj-art-906ebec097704adc9fc00508ac3421bd
institution Kabale University
issn 1687-5869
1687-5877
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Antennas and Propagation
spelling doaj-art-906ebec097704adc9fc00508ac3421bd2025-02-03T01:23:08ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772012-01-01201210.1155/2012/493705493705Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna MeasurementsThorkild B. Hansen0Seknion Inc., 2000 Commonwealth Ave, Boston, MA 01235, USAThe system-matrix method for higher-order probe correction in spherical near-field scanning is based on a renormalized least-squares approach in which the normal matrix closely resembles the identity matrix when most of the energy of the probe pattern resides in the first-order modes. This method will be “stressed-tested” in the present paper by employing probes for which up to 49% of the pattern energy resides in the higher-order modes. The condition number of the resulting normal matrix will be computed, and its “distance” from the identity matrix displayed. It is also shown how the condition number of the normal matrix can be further reduced.http://dx.doi.org/10.1155/2012/493705
spellingShingle Thorkild B. Hansen
Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements
International Journal of Antennas and Propagation
title Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements
title_full Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements
title_fullStr Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements
title_full_unstemmed Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements
title_short Numerical Investigation of the System-Matrix Method for Higher-Order Probe Correction in Spherical Near-Field Antenna Measurements
title_sort numerical investigation of the system matrix method for higher order probe correction in spherical near field antenna measurements
url http://dx.doi.org/10.1155/2012/493705
work_keys_str_mv AT thorkildbhansen numericalinvestigationofthesystemmatrixmethodforhigherorderprobecorrectioninsphericalnearfieldantennameasurements