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Electromagnetic imaging for shape and variable conductivity
Author(s) -
Chien Wei,
Chiu ChienChing
Publication year - 2004
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.20030
Subject(s) - inverse problem , microwave imaging , nonlinear system , noise (video) , mathematical analysis , boundary value problem , integral equation , inverse scattering problem , mathematics , conductivity , iterative reconstruction , gaussian , gaussian noise , physics , microwave , algorithm , computer science , image (mathematics) , artificial intelligence , quantum mechanics
We consider the inverse problem of determining both the shape and the conductivity of a two‐dimensional (2D) conducting scatterer from the knowledge of the far‐field pattern of TM waves by solving the ill‐posed nonlinear equation. Based on the boundary condition and measured scattered field, a set of nonlinear integral equations is derived and the imaging problem is reformulated into an optimization problem. Satisfactory reconstructions are achieved by the genetic algorithm. Numerical results demonstrate that, even when the initial guess is far away from the exact one, good reconstruction can be obtained. In addition, the effect of Gaussian noise on the reconstruction results is investigated. The numerical results show that multiple incident directions permit good reconstruction of shape and, to a lesser extent, conductivity in the presence of noise in measured data. © 2004 Wiley Periodicals, Inc. Int J RF and Microwave CAE 14, 433–440, 2004.