Conversion between two bases of rotationally symmetric spheroidal vector wavefunctions

Johan Stén

Research output: Contribution to journalArticleScientificpeer-review


A conversion between two eigenfunction bases of spheroidal vector wavefunctions is described, both bases comprising two independent sets of solutions for the electro-magnetic vector wave equation with azimuthal symmetry. A set of definite integrals over the angular variable, arising in the conversion is evaluated in closed form, each integral containing a product of two angular spheroidal wavefunctions with m = 0 or 1, weighted by algebraic functions.
Original languageEnglish
Pages (from-to)5485-5492
JournalJournal of Physics A: Mathematical and General
Issue number20
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed


  • inverse problems
  • minimum energy sources
  • prolate spheroid


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