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

Edwin A. Marengo; Richard W. Ziolkowski

doi:10.1088/1464-4258/2/3/303

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

Edwin A. Marengo, Richard W. Ziolkowski

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	179-187
Number of pages	9
Journal	Journal of Optics A: Pure and Applied Optics
Volume	2
Issue number	3
DOIs	https://doi.org/10.1088/1464-4258/2/3/303
State	Published - May 2000

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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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.",

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AB - 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.

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

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