Analysis and regularization of the thin-wire integral equation with reduced kernel

M.C. Beurden, van, A.G. Tijhuis

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
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Abstract

For the straight wire, modeled as a hollow tube, we establish a conditional equivalence relation between the integral equations with exact and reduced kernel. This relation allows us to examine the existence and uniqueness conditions for the integral equation with reduced kernel, based on a local argument. Further, we characterize the ill-posedness of integral equation with reduced kernel and we propose a regularization and filtering procedure to extend the range of this integral equation. © 2007 IEEE.
Original languageEnglish
Pages (from-to)120-129
Number of pages10
JournalIEEE Transactions on Antennas and Propagation
Volume55
Issue number1
DOIs
Publication statusPublished - 2007

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