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PIER PIER B PIER C PIER M PIER Letters
2009-07-17
Microwave Tomography Employing an Adjoint Network Based Sensitivity Matrix
By
Dimitrios G. Drogoudis,

    Dr. Dimitrios G. Drogoudis

    Department of Electrical and Computer Engineering

    Democritus University of Thrace

    Greece

    Homepage

George Kyriacou,

    Prof. George Kyriacou

    Department of Electrical and Computer Engineering

    Democritus University of Thrace

    Greece

    Homepage

John Sahalos

    Prof. John Sahalos

    Department of Physics

    Aristotle University of Thessaloniki

    Greece

    Homepage

Progress In Electromagnetics Research, Vol. 94, 213-242, 2009
doi:10.2528/PIER09060808
Abstract
A reconstruction algorithm for two- and three- dimen-sional microwave imaging is proposed. The present effort is focused on the reconstruction of conductivity (σ) and permittivity (εr) distri-butions aiming at a technique serving medical imaging, while perme-ability imaging can be easily incorporated to serve geophysical geophysical prospecting as well. This work constitutes the most recent one within the effort of extending our Modified Perturbation Method (MPM) from static to high and now microwave frequencies. MPM is an approximate method based on an exact Sensitivity or Jacobian matrix for an iterative update of an initial (σ, εr) guess until convergence. This method is proved almost immune of the problem inherent ill-posedness, but its robustness is actually gained by paying a penalty of compromised accuracy in the final achieved image. However, this image can be fine tuned by formulating and solving an exact inverse problem. Regarding the involved Jacobian matrix, this is evaluated through closed form expressions obtained through an Adjoint Network Theorem in conjuction with the electromagnetics reciprocity theorem. The field distributions required for its evaluation are readily available from the always required forward problem solutions on the assumed (σ, εr) distributions. Herein, the finite element method along with absorbing boundary conditions are employed for the forward problem electromagnetic simulation.
Citation
Dimitrios G. Drogoudis, George Kyriacou, and John Sahalos, "Microwave Tomography Employing an Adjoint Network Based Sensitivity Matrix," Progress In Electromagnetics Research, Vol. 94, 213-242, 2009.
doi:10.2528/PIER09060808
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