Exact complex source representations of transient radiation

Hansen Thorkild B, Andrew N. Norris

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Exact expansions are presented for frequency-domain and time-domain fields generated by sources in a finite region of space. These expansions determine the field outside the minimum sphere from the values of the field on any sphere outside the source region, e.g., the far-field sphere. The basis functions are directionally localized monopole or multipole point sources located on a sphere in complex space. The frequency-domain expansions are first presented and then used along with the analytic Fourier transform to obtain the corresponding time-domain expansions.

Original languageEnglish (US)
Pages (from-to)101-115
Number of pages15
JournalWave Motion
Issue number2
StatePublished - Sep 1997

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Physics and Astronomy(all)
  • Computational Mathematics
  • Applied Mathematics

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