Some Observations on the Spatial and Eigenfunction Representations of Dyadic Green’s Functions

Weng Cho Chew

Research output: Contribution to journalArticlepeer-review

Abstract

The principal-volume method of expressing the spatial representation of the dyadic Green's function in free space is reviewed, followed by the eigenfunction expansion method of deriving the dyadic Green's function in free space and an arbitrarily shaped waveguide. In both cases, there are Dirac delta function singularities. It can be shown that the Dirac delta function in the eigenfunction representation has very much the same physical interpretation as the Dirac delta function singularity in the principal-volume method. However, in the eigenfunction representation, There is no need to specify a principal volume. This study shows some relationships between the principal volume method and the eigenfunction expansion method, and reassert that the dyadic Green's function should be regarded as a distribution or a generalized function.

Original languageEnglish (US)
Pages (from-to)1322-1327
Number of pages6
JournalIEEE Transactions on Antennas and Propagation
Volume37
Issue number10
DOIs
StatePublished - Oct 1989

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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