A Stable Imaging Functional for Anisotropic Periodic Media in Electromagnetic Inverse Scattering

.This paper addresses the inverse scattering problem for Maxwell's equations in three-dimensional anisotropic periodic media. We study a new imaging functional for the fast and robust reconstruction of the shape of anisotropic periodic scatterers from boundary measurements of the scattered field. The implementation of this imaging functional is simple and avoids the need to solve an ill-posed problem. The resolution and stability analysis of the imaging functional is investigated. Results from our numerical study indicate that this imaging functional is more stable than that of the factorization method and more accurate than that of the orthogonality sampling method in reconstructing periodic scatterers.Keywordselectromagnetic inverse scatteringperiodic mediasampling methodshape reconstructionphotonic crystalsMSC codes35R3078A4665C20