The Finite-Element Method Contrast Source Inversion Algorithm for 2D Transverse Electric Vectorial Problems

• Published in: IEEE transactions on antennas and propagation Vol. 60; no. 10; pp. 4757 - 4765
• Main Authors: Zakaria, A., LoVetri, J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.10.2012; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Applied classical electromagnetism; Contrast source inversion (CSI); Electric fields; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite element method; Finite element methods; finite-element method (FEM); Fundamental areas of phenomenology (including applications); Image edge detection; Image reconstruction; Imaging; Inverse problems; Inversions; Mathematical analysis; Mathematical models; microwave imaging; Physics; Studies; Transmitters; transverse-electric; Two dimensional; Vectors; Electromagnetism; Triangular finite element; Two dimensional model; Pattern recognition; Electromagnetic fields; TE mode; Implementation; Finite element method; Contrast source inversion (CSI); Algorithms; Inverse problems; Basis function; Imaging; Feature extraction; transverse-electric; Electric fields; Edge detection; Transverse field; finite-element method (FEM); Microwave imaging
• ISSN: 0018-926X; 1558-2221
• DOI: 10.1109/TAP.2012.2207324

The contrast source inversion algorithm is formulated using the finite-element method for two-dimensional transverse electric microwave imaging problems. Edge-based triangular elements with vector basis functions are utilized to solve the TE electromagnetic problem. A single finite-element method (FEM) mesh is used to model both the electric field as well as the contrast-source and contrast variables used in the inverse problem. The electromagnetic field is modeled by taking the unknown values to be the tangential components of the transverse electric field along the edges of each triangular element. The unknown contrast-source and contrast variables are located at the centroids of every triangular element of the same FEM mesh, but only inside the imaging domain. The adaptation of the FEM-contrast source inversion (FEM-CSI) algorithm to 2D-TE problems on such an arbitrary mesh requires the implementation of special transformation operators which are presented herein. The algorithm's capabilities are demonstrated by inverting the Fresnel experimental TE datasets as well as synthetically generated data.