Year: 2017
Author: Abdul Wahab, Tasawar Abbas, Naveed Ahmed, Qazi Muhammad Zaigham Zia
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 5 : pp. 642–671
Abstract
In this article, a topological sensitivity framework for far-field detection of a diametrically small electromagnetic inclusion is established. The cases of single and multiple measurements of the electric far-field scattering amplitude at a fixed frequency are taken into account. The performance of the algorithm is analyzed theoretically in terms of its resolution and sensitivity for locating an inclusion. The stability of the framework with respect to measurement and medium noises is discussed. Moreover, the quantitative results for signal-to-noise ratio are presented. A few numerical results are presented to illustrate the detection capabilities of the proposed framework with single and multiple measurements.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1609-m2016-0498
Journal of Computational Mathematics, Vol. 35 (2017), Iss. 5 : pp. 642–671
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Electromagnetic imaging Topological derivative Localization Resolution analysis Stability analysis Medium noise Measurement noise.
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