Inverse source problem with regularity constraints: Normal solution and nonradiating source components

Edwin A. Marengo, Richard W. Ziolkowski

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The use of regularity constraints in formulating the scalar inverse source problem (ISP) is investigated. Two kinds of regularity constraints are considered: compact supportness in a given source region, and normal differentiability on the boundary of that region. Normal solutions (minimum L2 norm solutions) to the ISP for square-integrable (L2) scalar sources with and without the above-mentioned regularity constraints are derived and compared. The (generally nontrivial) nonradiating parts of the corresponding normal solutions are evaluated.

Original languageEnglish (US)
Pages (from-to)179-187
Number of pages9
JournalJournal of Optics A: Pure and Applied Optics
Volume2
Issue number3
DOIs
StatePublished - May 2000

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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