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http://dx.doi.org/10.5515/JKIEES.2011.11.1.056

Topological Derivative for Fast Imaging of Two-Dimensional Thin Dielectric Inclusions in The Wave Propagation Environment  

Park, Won-Kwang (Department of Mathematics, The College of Natural Sciences, Kookmin University)
Publication Information
Journal of electromagnetic engineering and science / v.11, no.1, 2011 , pp. 56-61 More about this Journal
Abstract
In this paper, we consider the topological derivative concept for developing a fast imaging algorithm of thin inclusions with dielectric contrast with respect to an embedding homogeneous domain with a smooth boundary. The topological derivative is evaluated by applying asymptotic expansion formulas in the presence of small, perfectly conducting cracks. Through the careful derivation, we can design a one-iteration imaging algorithm by solving an adjoint problem. Numerical experiments verify that this algorithm is fast, effective, and stable.
Keywords
Asymptotic Expansion Formula; Non-Iterative Imaging; Thin Dielectric Inclusions; Topological Derivative;
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