A singularity extraction technique for computation of antenna aperture fields from singular plane wave spectra

Cecilia Cappellin, Olav Breinbjerg, Aksel Frandsen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

An effective technique for extracting the singularity of plane wave spectra in the computation of antenna aperture fields is proposed. The singular spectrum is first factorized into a product of a finite function and a singular function. The finite function is inverse Fourier transformed numerically using the Inverse Fast Fourier Transform, while the singular function is inverse Fourier transformed analytically, using the Weyl-identity, and the two resulting spatial functions are then convolved to produce the antenna aperture field. This article formulates the theory of the singularity extraction technique and illustrates the effect of this for an array of electric Hertzian dipoles.
Original languageEnglish
JournalMicrowave & Optical Technology Letters
Volume50
Issue number5
Pages (from-to)1308-1312
ISSN0895-2477
DOIs
Publication statusPublished - 2008

Keywords

  • plane wave expansion
  • Weyl-identity
  • singularity extraction
  • fast Fourier transform

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