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...
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | International Journal of Antennas and Propagation |
Online Access: | http://dx.doi.org/10.1155/2012/493705 |
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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 |