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An iterative solution of the two‐dimensional electromagnetic inverse scattering problem
Author(s) -
Wang Y. M.,
Chew W. C.
Publication year - 1989
Publication title -
international journal of imaging systems and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.359
H-Index - 47
eISSN - 1098-1098
pISSN - 0899-9457
DOI - 10.1002/ima.1850010111
Subject(s) - lossless compression , inverse scattering problem , inverse problem , iterative method , scattering , born approximation , neumann series , algorithm , series (stratigraphy) , mathematics , inverse , computer science , mathematical analysis , mathematical optimization , optics , physics , geometry , data compression , paleontology , biology
A new method, based on an iterative procedure, for solving the two‐dimensional inverse scattering problem is presented. This method employs an equivalent Neumann series solution in each iteration step. The purpose of the algorithm is to provide a general method to solve the two‐dimensional imaging problem when the Born and the Rytov approximations break down. Numerical simulations were calculated for several cases where the conditions for the first order Born approximation were not satisfied. The results show that in both high and low frequency cases, good reconstructed profiles and smoothed versions of the original profiles can be obtained for smoothly varying permittivity profiles (lossless) and discontinuous profiles (lossless), respectively. A limited number of measurements around the object at a single frequency with four to eight plane incident waves from different directions are used. The method proposed in this article could easily be applied to the three‐dimensional inverse scattering problem, if computational resources are available.