Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures

Armin Lecheiter (1) , Dinh Liem Nguyen (2)

1 ZeTeM - Zentrum für Technomathematik - Universität Bremen
2 DeFI - Shape reconstruction and identification

This paper is concerned with the inverse scattering problem of electromagnetic waves from penetrable biperiodic structures in three dimensions. We study the Factorization method as a tool for reconstructing the periodic media from measured data consisting of scattered electromagnetic waves for incident plane electromagnetic waves. We propose a rigorous analysis for the method. A simple criterion is provided to reconstruct the biperiodic structures. We also provide three-dimensional numerical experiments to indicate the performance of the method.

Domaines: Equations aux dérivées partielles [math.AP]

Armin Lecheiter, Dinh Liem Nguyen. Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures. 2012. ⟨hal-00762939⟩