Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems
Numerical Analysis
2017-02-09 v1
Abstract
This paper is concerned with the inverse problem to recover the scalar, complex-valued refractive index of a medium from measurements of scattered time-harmonic electromagnetic waves at a fixed frequency. The main results are two variational source conditions for near and far field data, which imply logarithmic rates of convergence of regularization methods, in particular Tikhonov regularization, as the noise level tends to . Moreover, these variational source conditions imply conditional stability estimates which improve and complement known stability estimates in the literature.
Cite
@article{arxiv.1512.06586,
title = {Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems},
author = {Frederic Weidling and Thorsten Hohage},
journal= {arXiv preprint arXiv:1512.06586},
year = {2017}
}
Comments
inverse scattering, Maxwell equations, stability, regularization, source condition