Solution to the full vectorial 3-D inverse source problem by multilevel fast multipole method inspired hierarchical disaggregation

Georg Schnattinger, Thomas F. Eibert

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

A 3-D imaging approach based on a multilevel fast multipole method inspired hierarchical disaggregation of the broadband plane wave spectrum is introduced to solve the full vectorial electromagnetic inverse source problem based on the knowledge of the radiated fields. In terms of complexity, this algorithm is identical to fast Fourier transform accelerated 3-D imaging techniques. In terms of applicability, the hierarchical disaggregation is advantageous for commonly encountered spherical $k$ -space data. Since the method can be directly combined with the near-field fast multipole translations, both far- and near-field data can be handled conveniently. The investigation includes an analysis of the inherent point spread function and numerical results.

Original languageEnglish
Article number6193151
Pages (from-to)3325-3335
Number of pages11
JournalIEEE Transactions on Antennas and Propagation
Volume60
Issue number7
DOIs
StatePublished - 2012

Keywords

  • Electromagnetic radiation
  • imaging
  • inverse source problems
  • microwave imaging

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