Reconstruction of electromagnetic minimum energy sources in a prolate spheroid

Johan Stén

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)


The inverse problem of reconstructing time‐harmonic minimum energy current distributions in a spheroidal volume from given data of far‐field radiation is addressed. Following the procedure outlined by Marengo and Devaney [1999], we formulate, upon deriving a spherical harmonics expansion of the electromagnetic field radiated by a current inside a prolate spheroid, the inverse problem in terms of linear operator theory. Owing to the lack of orthogonality of spheroidal vector wave functions, every eigenfunction will couple with several spherical radiation modes at a time, making the solution rather involved. Simplification is achieved in the special case of rotationally symmetric fields, for which numerical examples are given. As an application, the use of minimum energy currents for identifying distributions of nonradiating current in a spheroidal volume is pointed out.
Original languageEnglish
Article numberRS2020
Number of pages10
JournalRadio Science
Issue number2
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed


  • inverse problems
  • minimum energy sources
  • prolate spheroid


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