Reduction of errors in antenna radiation patterns using optimally truncated spherical wave expansion

Päivi Koivisto

Research output: Contribution to journalArticleScientificpeer-review

17 Citations (Scopus)

Abstract

This paper demonstrates how the error of a measured or simulated antenna radiation pattern can be decreased by calculating a spherical wave expansion (SWE) with an optimised truncation mode index. Four radiation pattern examples are examined for which the analytical expression of the electrical field is known. Upon adding random and -alignment errors to the exact electric fields, the SWEs are determined and compared with the corresponding ones for the exact fields. These comparisons show that the accuracy of the calculated SWE is much better than the accuracy of the original inaccurate field. Resting on the calculated examples, a method is created which can be used to determine the optimal truncation index from the modal power distribution of a SWE without knowing the exact field. Finally, the method developed is applied to measured antenna radiation patterns.
Original languageEnglish
Pages (from-to)313 - 333
Number of pages21
JournalElectromagnetic Waves
Volume47
DOIs
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed

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antenna radiation patterns
spherical waves
Directional patterns (antenna)
expansion
approximation
alignment
Electric fields
electric fields
radiation

Cite this

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title = "Reduction of errors in antenna radiation patterns using optimally truncated spherical wave expansion",
abstract = "This paper demonstrates how the error of a measured or simulated antenna radiation pattern can be decreased by calculating a spherical wave expansion (SWE) with an optimised truncation mode index. Four radiation pattern examples are examined for which the analytical expression of the electrical field is known. Upon adding random and -alignment errors to the exact electric fields, the SWEs are determined and compared with the corresponding ones for the exact fields. These comparisons show that the accuracy of the calculated SWE is much better than the accuracy of the original inaccurate field. Resting on the calculated examples, a method is created which can be used to determine the optimal truncation index from the modal power distribution of a SWE without knowing the exact field. Finally, the method developed is applied to measured antenna radiation patterns.",
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Reduction of errors in antenna radiation patterns using optimally truncated spherical wave expansion. / Koivisto, Päivi.

In: Electromagnetic Waves, Vol. 47, 2004, p. 313 - 333.

Research output: Contribution to journalArticleScientificpeer-review

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T1 - Reduction of errors in antenna radiation patterns using optimally truncated spherical wave expansion

AU - Koivisto, Päivi

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PY - 2004

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AB - This paper demonstrates how the error of a measured or simulated antenna radiation pattern can be decreased by calculating a spherical wave expansion (SWE) with an optimised truncation mode index. Four radiation pattern examples are examined for which the analytical expression of the electrical field is known. Upon adding random and -alignment errors to the exact electric fields, the SWEs are determined and compared with the corresponding ones for the exact fields. These comparisons show that the accuracy of the calculated SWE is much better than the accuracy of the original inaccurate field. Resting on the calculated examples, a method is created which can be used to determine the optimal truncation index from the modal power distribution of a SWE without knowing the exact field. Finally, the method developed is applied to measured antenna radiation patterns.

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