A Multifrequency Inexact-Newton Method in <named-content content-type="math" xlink:type="simple"><inline-formula><tex-math notation="LaTeX">${L^p}$</tex-math></inline-formula> </named-content> Banach Spaces for Buried Objects Detection

Abstract

An electromagnetic inverse scattering approach for imaging of shallow subsurface objects is reported. It extends to multifrequency processing, an efficient method previously developed for single frequency imaging. The considered approach is an iterative procedure based on an inexact-Newton method developed in ${L}^{p}$ Banach spaces, which exhibits effective regularization capabilities and reduced over-smoothing effects. The approach is validated using numerical simulations in which cylindrical scatterers are reconstructed in a homogeneous lossy medium. Results are compared with those obtained using standard single frequency operating conditions.