A Topological Derivative Based Non-Iterative Electromagnetic Imaging of Perfectly Conducting Cracks |
Yong-Ki Ma1, Won-Kwang Park2 |
1Dept. of Statistics in Seoul National University 2Dept. of Mathematics in Kookmin University |
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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. |
Key words:
Asymptotic Expansion Formula, Electromagnetic Imaging, Numerical Examples, Perfectly Conducting Crack, Topological Derivative |
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