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An optimization approach to two‐dimensional time domain electromagnetic inverse problems
Author(s) -
Gustafsson Mats,
He Sailing
Publication year - 2000
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/1999rs900091
Subject(s) - conjugate gradient method , permittivity , inverse problem , time domain , computation , mathematical analysis , mathematics , inverse , nonlinear conjugate gradient method , electromagnetics , mathematical optimization , computer science , physics , algorithm , gradient descent , artificial neural network , geometry , optoelectronics , engineering physics , dielectric , computer vision , machine learning
An optimization approach to a two‐dimensional electromagnetic inverse problem in the time domain is considered. Wave‐splitting is integrated in the optimization algorithm. The permittivity, permeability, and conductivity are reconstructed by minimizing an objective functional. To speed up the computation time, an explicit expression for the gradient of the objective functional is derived by introducing dual functions and using the Gauss surface divergence theorem. The parameters are then reconstructed by an iterative conjugate gradient algorithm. Numerical results for a simultaneous reconstruction of the permittivity, permeability, and conductivity are presented.