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A plane-polar near-field to far-field transformation with the fast Hankel transform method

Une méthode de transformation de champs proches plans-polaires en champs lointains à l’aide de la transformation rapide de Hankel

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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.


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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Correspondence to Chen CAO or Emmanuel Van Lil or Antoine Van De Capelle or Kees Van ’t Klooster.

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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).

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Mots clés

  • Electromagnetic field
  • Near field
  • Far field
  • Polar coordinate
  • Hankel transformation
  • Fast algorithm
  • Numerical analysis

Key words

  • Champ électromagnétique
  • Champ proche
  • Champlointain
  • Coordonnée polaire
  • Transformation Hankel
  • Algorithme rapide
  • Analyse numérique