Nonlinear electromagnetic inverse scattering in via Frozen or Broyden update of the Fréchet derivative

5th International Workshop on New Computational Methods for Inverse Problems

物理学;计算机科学

Tavanti, E.^1 ; Estatico, C.^2 ; Fedeli, A.^1 ; Pastorino, M.^1 ; Randazzo, A.^1

Department of Electrical, Electronic, Telecommunication Engineering, and Naval Architecture, University of Genoa, Via Opera Pia 11A, Genoa

I-16145, Italy^1

Department of Mathematics, University of Genoa, Via Dodecaneso 35, I-16146, Italy^2

关键词: Dielectric targets;    Electromagnetic inverse scattering;    Frechet derivative;    Inverse scattering problems;    Microwave imaging;    Non destructive inspection;    Numerical techniques;    Numerical tests;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/657/1/012008/pdf
DOI  :  10.1088/1742-6596/657/1/012008

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Microwave imaging methods are useful for non-destructive inspection of dielectric targets. In this work, a numerical technique for solving the 3D Lippmann-Schwinger integral equation of the inverse scattering problem via Gauss-Newton linearization in Banach spaces is analysed. More specifically, two different approximations of the Frechet derivative are proposed in order to speed up the computation. Indeed it is well known that the computation of the Frechet derivative is generally quite expensive in three dimensional restorations. Numerical tests show that the approximations give a faster restoration without loosing accuracy.