A derivation of the vector addition theorem

W. C. Chew

Research output: Contribution to journalArticlepeer-review


An alternative derivation of the vector addition theorem is presented using the completeness of vector wave functions and integration by parts. The advantage of this derivation is that it leads directly to the simplified results of Bruning and Lo and of Stein. Moreover, the dichotomous results of the addition theorem when a spherical Hankel function is involved can be derived by contour integration.

Original languageEnglish (US)
Pages (from-to)256-260
Number of pages5
JournalMicrowave and Optical Technology Letters
Issue number7
StatePublished - Jul 1990
Externally publishedYes


  • Vector analysis
  • multiple scattering
  • wave propagation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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