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Computational and Applied Mathematics

, Volume 36, Issue 2, pp 1099–1112 | Cite as

The factorization method for the inverse scattering problem from thin dielectric objects

  • Qinghua Wu
  • Guozheng Yan
Article

Abstract

We consider the inverse scattering problem of determining the shape and position of a thin dielectric infinite cylinder having an open arc as cross section from the knowledge of the related far field data. The mathematical analysis is given to prove the validity of the factorization method for reconstructing the shape of the arc. Some numerical examples are proposed to show the efficaciousness of the algorithms.

Keywords

Inverse scattering problem Factorization method Open arc 

Mathematics Subject Classification

Primary 35C15 35Q65 Secondary 78A45 

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2015

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsCentral China Normal UniversityWuhanChina
  2. 2.School of Mathematics and StatisticsHubei Engineering UniversityXiaoganChina

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