Adjoint-based sampling methods for electromagnetic scattering

被引:5
作者
Egger, H. [1 ]
Hanke, M. [2 ]
Schneider, C. [2 ]
Schoeberl, J. [3 ]
Zaglmayr, S. [1 ]
机构
[1] Karl Franzens Univ Graz, Inst Computat Math, Graz, Austria
[2] Johannes Gutenberg Univ Mainz, Inst Math, Mainz, Germany
[3] Rhein Westfal TH Aachen, Ctr Computat Engn Sci, Aachen, Germany
基金
奥地利科学基金会;
关键词
MIXED FINITE-ELEMENTS; FACTORIZATION METHOD; INVERSE;
D O I
10.1088/0266-5611/26/7/074006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we investigate the efficient realization of sampling methods based on solutions of certain adjoint problems. This adjoint approach does not require the explicit knowledge of the Green's function for the background medium, and allows us to sample for all points and all dipole directions simultaneously; thus, several limitations of standard sampling methods are relieved. A detailed derivation of the adjoint approach is presented for two electromagnetic model problems, but the framework can be applied to a much wider class of problems. We also discuss a relation of the adjoint sampling method to standard backprojection algorithms, and present numerical tests that illustrate the efficiency of the adjoint approach.
引用
收藏
页数:17
相关论文
共 29 条
[1]  
BAUM CE, 1999, DETECTION IDENTIFICA
[2]   Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects [J].
Cakoni, Fioralba ;
Fares, M'Barek ;
Haddar, Houssem .
INVERSE PROBLEMS, 2006, 22 (03) :845-867
[3]   Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems [J].
Collino, F ;
Fares, M ;
Haddar, H .
INVERSE PROBLEMS, 2003, 19 (06) :1279-1298
[4]   A simple method for solving inverse scattering problems in the resonance region [J].
Colton, D ;
Kirsch, A .
INVERSE PROBLEMS, 1996, 12 (04) :383-393
[5]   An application of the reciprocity gap functional to inverse scattering theory [J].
Colton, D ;
Haddar, H .
INVERSE PROBLEMS, 2005, 21 (01) :383-398
[6]  
COLTON D. L., 1998, Appl. Math. Sci., V93, DOI [DOI 10.1007/978-3-662-03537-5, DOI 10.1007/978-3-030-30351-8]
[7]   Using fundamental solutions in inverse scattering [J].
Colton, David ;
Kress, Rainer .
INVERSE PROBLEMS, 2006, 22 (03) :R49-R66
[8]  
Dautray R., 1990, Mathematical analysis and numerical methods for science and technology Spectral Theory and Applications, V3
[9]  
DEVANAY AJ, 2003, J ACOUST SOC A UNPUB
[10]  
DREWITZ J, THESIS JOHANNESGUTEN