WIAS Preprint No. 2285, (2016)

Detection of electromagnetic inclusions using topological sensitivity


  • Wahab, Abdul
  • Abbas, Tasawar
  • Ahmed, Naveed
    ORCID: 0000-0002-9322-0373
  • Zaigham Zia, Qazi Muhammad

2010 Mathematics Subject Classification

  • 35L05 35R30 74B05 47A52 65J20


  • Electromagnetic imaging, topological derivative, localization, resolution analysis, stability analysis, medium noise, measurement noise


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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