PhotonIcs and Electromagnetics Research Symposium,
also known as Progress In Electromagnetics Research Symposium
PIERS Proceedings
Published: 2015-07-09
A Necessary Condition for Application of Topological Derivative in Limited-aperture Inverse Scattering Problem
By
Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9,Page(s)442-446
Abstract
Various studies have shown that the topological derivative-based non-iterative imaging algorithm can be employed in limited-aperture inverse scattering problems. However, this fact has been verified through the results of numerical simulations, and only a sufficient condition for its application has been theoretically discovered. In this work, we consider the topological derivative for the imaging of a thin, crack-like dielectric inhomogeneity, and explore a necessary condition for its application in a limited-aperture inverse scattering problem. This is based on a relationship between topological derivative imaging functions and infinite series of Bessel functions of integer order of the first kind. This relationship implies that the necessary condition is highly dependent on the shape of the unknown inhomogeneity. Numerical results are presented in order to support our findings.
Citation
Chi Young Ahn, Kiwan Jeon, Yong-Ki Ma, and Won-Kwang Park, "A Necessary Condition for Application of Topological Derivative in Limited-aperture Inverse Scattering Problem," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9,Page(s)442-446
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