Abstract
It is known that a direct radial integration, used to compute the far-field from uniformly spaced plane-polar near-field measurements requires the evaluation of a large amount of Bessel functions and hence CPU time. Up to 1985 only unequally spaced fast Hankel algorithms were available. Hansen [3] developed an algorithm that was usable for equally spaced measurements points, but only for order zero. His theory is generalised in this paper and applied to a plane-polar near-field to far-field transformation.
Résumé
Il a été établi que les transformations de champs proches plans-polaires requièrent l’évaluation de maintes fonctions de Bessel et donc un temps de calcul considérable. Jusqu’en 1985 les algorithmes rapides de Hankel se limitaient à des points espacés de manière inégale. Hansen [3] a développé un algorithme qui se prêtait à des points de mesures uniformément espacés. mais pour l’ordre zéro seulement. Sa théorie est généralisée dans cet article et appliquée à une transformation de champs plans-polaires proches en champs lointains.
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CAO, C., Van Lil, E., Van De Capelle, A. et al. A plane-polar near-field to far-field transformation with the fast Hankel transform method. Ann. Télécommun. 46, 273–281 (1991). https://doi.org/10.1007/BF02999398
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DOI: https://doi.org/10.1007/BF02999398
Mots clés
- Electromagnetic field
- Near field
- Far field
- Polar coordinate
- Hankel transformation
- Fast algorithm
- Numerical analysis