A Krylov Subspace Approach to Parametric Inversion of Electromagnetic Data Based on Residual Minimization

Master thesis (2010)

Authors

Contributors

R.F. Remis (mentor)
Programme
Inverse Scattering (EEMCS) (TU Delft)
Copyright: © 2010 Balidemaj, E.
Scattering Maxwell Krylov Inversion Electromagnetic GMRES Balidemaj Residual Inverse Minimization Arnoldi Shifted Linear Systems Effective Inversion Krylov Subspaces
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Published Date

21-06-2010

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Programme

Inverse Scattering

Abstract

In this thesis we present a Krylov subspace technique and use residual minimization to efficiently solve parametric electromagnetic inversion problems. We exploit the shift-invariance property of Krylov subspaces to compute total fields inside a homogeneous object for a whole range of contrast values. As soon as these fields are found, we can determine the corresponding scattered fields in a straightforward manner. This approach allows us to solve the inverse problem by simply inspecting an objective function which measures the discrepancy between the measured and modeled scattered field data.