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J. Math. Phys. 18, 194 (1977); http://dx.doi.org/10.1063/1.523256 (8 pages)

Nonuniqueness in the inverse source problem in acoustics and electromagnetics

Norman Bleistein and Jack K. Cohen

Department of Mathematics, University of Denver, Denver, Colorado 80210

A recently developed formulation of the inverse source problem as a Fredholm integral equation of the first kind provides motivation for the development of analytical characterizations of the nonuniqueness in the inverse source problem. Nonradiating sources, i. e., sources for which the field is identically zero outside a finite region, are introduced. It is then shown that the null space of the Fredholm integral equation is exactly the class of nonradiating sources.

ERRATUM

  1. Erratum: Nonuniqueness in the inverse source problem in acoustics and electromagnetics [J. Math. Phys. 18, 194 (1977)]
    Norman Bleistein et al.
    J. Math. Phys. 23, 915 (1982)JMAPAQ000023000005000915000002

PACS

  • 03.50.De

    Classical electromagnetism, Maxwell equations

  • 41.20.Jb

    Electromagnetic wave propagation; radiowave propagation

  • 43.20.+g

    General linear acoustics

ARTICLE DATA

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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