Skip to Main content Skip to Navigation
New interface
Book sections

Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems

Houssem Haddar 1 
1 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France
Abstract : This chapter provides a comprehensive presentation of some qualitative methods associated with inverse 3D electromagnetic scattering problem from inhomogeneous and anisotropic media. We first discuss the problem in the framework of so-called Born approximation, that leads to a linearisation of the inverse problem. We second present and analyze the application of the Linear Sampling Method to the full non linear problem using multistatic data at a given frequency. We especially focus on a generalization of this method based on an exact characterization of the inclusion shape in terms of the available data. We then discuss the closely related interior transmission problem and associated transmission eigenvalues. We complement each chapter with some open challenging questions as well as references for further readings.
Document type :
Book sections
Complete list of metadata
Contributor : Houssem Haddar Connect in order to contact the contributor
Submitted on : Monday, October 19, 2015 - 10:28:36 AM
Last modification on : Wednesday, August 24, 2022 - 9:40:06 AM



Houssem Haddar. Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems. Computational Electromagnetism, springer, pp.51, 2015, C.I.M.E. Foundation Subseries, 9783319193052 • 9783319193069. ⟨10.1007/978-3-319-19306-9⟩. ⟨hal-01217146⟩



Record views