Faster Conversion between Multipole Series and Plane Waves for Broadband MLFMA

Seppo Järvenpää, Henrik Wallén

Research output: Contribution to journalArticleScientificpeer-review

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A new efficient approach for converting multipole series coefficients to plane wave samples and back is presented in detail. The presented algorithm utilizes the fast Fourier transform in order to speed up the process. It can be used to develop an efficient implementation of a broadband multilevel fast multipole algorithm (MLFMA). The numerical tests demonstrate that the presented process also allows full numerical error control, which is an important factor in a practical implementation.
Original languageEnglish
Article number8668451
Pages (from-to)3987-3995
Number of pages9
JournalIEEE Transactions on Antennas and Propagation
Issue number6
Early online date2019
Publication statusPublished - 1 Jun 2019
MoE publication typeA1 Journal article-refereed


  • Broadband antennas
  • Broadband communication
  • Standards
  • Fourier series
  • Fast Fourier transforms
  • Multilevel fast multipole algorithm
  • Method of moments
  • Fast Fourier transform
  • Interpolation
  • Anterpolation
  • fast Fourier transform
  • interpolation
  • multilevel fast multipole algorithm (MLFMA)
  • method of moments


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