# Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency

@article{Darbas2019SensitivityAF, title={Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency}, author={Marion Darbas and J'er'emy Heleine and Stephanie Lohrengel}, journal={Inverse Problems in Science and Engineering}, year={2019}, volume={28}, pages={459 - 496} }

ABSTRACT This paper deals with the reconstruction of small-amplitude perturbations in the electric properties (permittivity and conductivity) of a medium from boundary measurements of the electric field at a fixed frequency. The underlying model is the three-dimensional time-harmonic Maxwell equations in the electric field. Sensitivity analysis with respect to the parameters is performed, and explicit relations between the boundary measurements and the characteristics of the perturbations are…

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