Vol. 122

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2011-11-22

Analysis of Topological Derivative Function for a Fast Electromagnetic Imaging of Perfectly Conducing Cracks

By Y.-K. Ma, Pok-Son Kin, and Won-Kwang Park
Progress In Electromagnetics Research, Vol. 122, 311-325, 2012
doi:10.2528/PIER11092901

Abstract

We consider a topological derivative based imaging technique for non-iterative imaging of small and extended perfectly conducting cracks with Dirichlet boundary condition. For this purpose, we introduce topological derivative imaging function based on the asymptotic formula in the existence of narrow crack. We then mathematically analyze its structure in order to investigate why it yields the shape of crack(s). Analyzed structure gives us an optimal condition to get a better image of them. Various numerical experiments support our analysis.

Citation


Y.-K. Ma, Pok-Son Kin, and Won-Kwang Park, "Analysis of Topological Derivative Function for a Fast Electromagnetic Imaging of Perfectly Conducing Cracks," Progress In Electromagnetics Research, Vol. 122, 311-325, 2012.
doi:10.2528/PIER11092901
http://jpier.org/PIER/pier.php?paper=11092901

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