Inverse source problem in the presence of external sources

Arthur B. Weglein; Anthony J. Devaney

doi:10.1117/12.139012

29 December 1992 Inverse source problem in the presence of external sources

Arthur B. Weglein, Anthony J. Devaney

Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139012
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

This paper presents a brief review of the various integral equation formulations that have been employed for the inverse source problem for the inhomogeneous scalar Helmholtz equation. It is shown that these formulations apply only in cases where either the data are prescribed on a closed surface surrounding the unknown source or where the unknown source lies entirely on one side of an open measurement surface. A generalized integral equation is derived that applies to the more general case where unknown sources can exist on both sides of an open measurement surface. This latter problem arises in geophysical remote sensing and the derive integral equation offers an approach to this class of problems not offered by currently employed techniques.

Citation Download Citation

Arthur B. Weglein and Anthony J. Devaney "Inverse source problem in the presence of external sources", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139012

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