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An iterative method for inverse scattering problems based on an exact gradient search
Author(s) -
Barkeshli S.,
Lautzenheiser R. G.
Publication year - 1994
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 - 10.1029/94rs00830
Subject(s) - inverse scattering problem , inverse problem , line search , residual , mathematics , scattering , inverse , exact solutions in general relativity , iterative method , gradient method , bilinear interpolation , mathematical analysis , mathematical optimization , algorithm , computer science , physics , geometry , optics , statistics , computer security , radius
A new iterative method based on an exact gradient search for inverse scattering problems is developed. In this scheme the two unknowns (the electric field and the electrical parameter within the object) are solved simultaneously. The bilinear property of the coupled integral equations is employed to drive the gradient of the residual ∇Φ. The exact gradient formulation allows one to perform an efficient line search for the solution. Some numerical results based on two‐dimensional inverse scattering problems are presented to demonstrate the efficiency of the algorithm.