KAIRUAIN
swMATH ID:  8218 
Software Authors:  Lakhal, A. 
Description:  KAIRUAINalgorithm applied on electromagnetic imaging. For timeharmonic Maxwell equations, we consider an inverse scattering problem for the 3D imaging of the constitutive material of an unknown object from the boundary measurements of the electric field. This problem is illposed and nonlinear. We introduce the KAIRUAINalgorithm which is an iterative method of NewtonKaczmarz type, where we use the approximate inverse for regularizing the solution of the linearized equation at each Newton iteration. We study the convergence of the algorithm and develop a strategy for the choice of the regularizing parameter in a quite general setting. We apply the KAIRUAINalgorithm to derive an efficient and stable reconstruction method for electromagnetic imaging. We use experimental data provided by the Institut Fresnel, France, to validate the capability of the reconstruction algorithm to retrieve blindly, without any a priori information, the geometry and the dielectric permittivity of the scattering object. 
Homepage:  http://iopscience.iop.org/article/10.1088/02665611/29/9/095001 
Related Software:  
Cited in:  3 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

KAIRUAINalgorithm applied on electromagnetic imaging. Zbl 1290.78010 Lakhal, A. 
2013

Cited by 2 Authors
1  Klibanov, Michael V. 
1  Kolesov, Aleksandr Egorovich 
Cited in 2 Serials
2  Inverse Problems 
1  Computers & Mathematics with Applications 
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Cited in 6 Fields
3  Numerical analysis (65XX) 
2  Optics, electromagnetic theory (78XX) 
1  Partial differential equations (35XX) 
1  Operator theory (47XX) 
1  Computer science (68XX) 
1  Geophysics (86XX) 