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http://dx.doi.org/10.5515/JKIEES.2012.12.1.128

A Topological Derivative Based Non-Iterative Electromagnetic Imaging of Perfectly Conducting Cracks  

Ma, Yong-Ki (Dept. of Statistics in Seoul National University)
Park, Won-Kwang (Dept. of Mathematics in Kookmin University)
Publication Information
Journal of electromagnetic engineering and science / v.12, no.1, 2012 , pp. 128-134 More about this Journal
Abstract
In this manuscript, we consider electromagnetic imaging of perfectly conducting cracks completely hidden in a homogeneous material via boundary measurements. For this purpose, we carefully derive a topological derivative formula based on the asymptotic expansion formula for the existence of a perfectly conducting inclusion with a small radius. With this, we introduce a topological derivative based imaging algorithm and discuss its properties. Various numerical examples with noisy data show the effectiveness and limitations of the imaging algorithm.
Keywords
Asymptotic Expansion Formula; Electromagnetic Imaging; Numerical Examples; Perfectly Conducting Crack; Topological Derivative;
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