The factorization method for the inverse scattering problem from thin dielectric objects
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.
KeywordsInverse scattering problem Factorization method Open arc
Mathematics Subject ClassificationPrimary 35C15 35Q65 Secondary 78A45
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