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

22 Scopus citations

Abstract

The time-dependent inverse source problem with far-field data is investigated within a limited-view Radon inversion framework, analogous to that of a limited-view computed tomography reconstruction problem. We investigate the domains in the Radon and Fourier spaces within which data are available for the reconstruction of the space–time structure of the source. Using a linear inversion formalism we derive a filtered backprojectionlike procedure to reconstruct the minimum-energy source consistent with prescribed far-field data. The source inversion technique developed in the paper is illustrated with a numerical example. The paper also contains a new description of nonradiating sources in the time domain.

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
DOIs
StatePublished - Jul 1999

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition

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