New aspects of the inverse source problem with far-field data

Edwin A. Marengo, Anthony J. Devaney, Richard W Ziolkowski

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A new treatment of the inverse source problem with far field data that makes use of standard linear operator theory and a Radon transform representation of the time domain radiation pattern is presented. A new filtered backprojectionlike method is derived to reconstruct the minimum energy (ME) source consistent with prescribed far field data. A general theory was developed and illustrated through numerical simulations to address the canonical example of a source localized within a spherical shell. The nonradiating (NR) sources in the time domain is characterized by using time dependent multipoles and found that they are analogous to the so-called ghost objects that arise in the formalism on the limited-view computed tomography (CT) problem.

Original languageEnglish (US)
Pages (from-to)1612-1622
Number of pages11
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume16
Issue number7
StatePublished - 1999

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Radon
Tomography
Computer simulation
Radiation

ASJC Scopus subject areas

  • Engineering(all)

Cite this

New aspects of the inverse source problem with far-field data. / Marengo, Edwin A.; Devaney, Anthony J.; Ziolkowski, Richard W.

In: Journal of the Optical Society of America A: Optics and Image Science, and Vision, Vol. 16, No. 7, 1999, p. 1612-1622.

Research output: Contribution to journalArticle

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