Fisher Information Analysis in Microwave Tomography

Paper in proceeding, 2009

The purpose of this paper is to give an overview of some recent developments and future potentials regarding Fisher information analysis in microwave tomography. In particular, the Fisher Information integral Operator (FIO) is defined using the Fréchet derivative, yielding a gradient based formulation which is useful in connection with analytical Green's function techniques, as well as with numerical adjoint field analysis techniques. It is also explained how the infinite-dimensional formulation has several conceptual and numerical advantages over the finite-dimensional Fisher Information Matrix (FIM) analysis approach for inverse scattering problems. Important application areas are with FIO resolution analysis for inverse scattering problems and parameter sensitivity analysis and preconditioning for gradient based inverse scattering algorithms.