Quasi-Newton-Based Inversion Method for Determining Complex Dielectric Permittivity of 3-D Inhomogeneous Objects

Cosgun S., Bilgin E., Çayören M.

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, vol.70, no.6, pp.4810-4817, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.1109/tap.2022.3140527
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.4810-4817
  • Keywords: Dielectrics, Mathematical models, Permittivity, Three-dimensional displays, Costs, Imaging, Electromagnetic scattering, Inverse scattering, microwave imaging, quasi-Newton methods, GAUSS-NEWTON, RECONSTRUCTION
  • Istanbul Technical University Affiliated: Yes


We present a new method for determining the complex dielectric permittivity profile of 3-D inhomogeneous dielectric objects from measurements of the scattered electric field vectors in the frequency domain. The method is formulated as a minimization of a cost function defined in terms of electric field integral equations known as the object and data equations. Instead of an unknown object function containing the electromagnetic parameters of the dielectrics, the contrast sources induced within the scatterers are designated as the unknowns of the inversion scheme to avoid solving the forward scattering problem at each step. Later, the minimization of the cost function is achieved via a limited-memory quasi-Newton scheme, based on the Broyden-Fletcher-Goldfarb-Shanno (BFGS) formula, which iteratively updates the Hessian matrix estimation. The numerical results with the simulated and experimental scattered electric fields demonstrate that the presented method is capable of reconstructing scatterers with complex shapes.