Synthetic-functions analysis of large aperture-coupled antennas

Ladislau Matekovits*, Giuseppe Vecchi, Mirko Bercigli, Mauro Bandinelli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


The application is described the synthetic function expansion (SFX) approach to large arrays of aperture-coupled antennas. The problem is formulated in terms of coupled magnetic-field continuity integral equations (MFCIE) and electric field integral equations (EFIE), and discretized via the method of moments (MoM). The SFX is a domain-decomposition technique; on each block of the broken-down structure, functions are generated with domain over the entire block. These "synthetic functions" (SF) are obtained from the solution of the electromagnetic problem for the isolated block upon specification of appropriate sources on the block bounding box, and from a further singular value decomposition (SVD)-based procedure to select the relevant terms. The complete problem is solved using the SFs as basis functions for the MoM. This results in a strong reduction of the MoM matrix size. Applications are presented to configurations of open and cavity-backed radiators.

Original languageEnglish
Pages (from-to)1936-1943
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Issue number7
Publication statusPublished - 2009
Externally publishedYes


  • Degrees of freedom
  • Integral equation technique
  • Large antennas
  • Method of moments (MoM)
  • Slot arrays

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