An iterative solution of the two‐dimensional electromagnetic inverse scattering problem

Y. M. Wang, W. C. Chew

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)100-108
Number of pages9
JournalInternational Journal of Imaging Systems and Technology
Volume1
Issue number1
DOIs
StatePublished - Jan 1 1989

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Software
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering

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