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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)
  • Received : 2011.11.25
  • Accepted : 2012.02.09
  • Published : 2012.03.31

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

Acknowledgement

Supported by : National Research Foundation of Korea (NRF)

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