A Banach-space multifrequency imaging approach for electromagnetic subsurface sensing

An approach for electromagnetic subsurface sensing is proposed in this contribution. The inverse scattering problem arising from the full-wave electromagnetic formulation is solved by using an efficient regularization method developed in the framework of Lp Banach spaces. Such approach has been found to enhance the reconstruction quality with respect to standard regularization techniques in Hilbert spaces, allowing a reduction of the ringing and over-smoothing effects in the reconstructed images and providing a better identification of small and sparse targets. Multi-frequency data are also exploited in order to increase the available information. Some numerical simulations showing the capabilities of the developed approach will be presented.