Numerical results of solving 3D inverse scattering problem with non-over-determined data

2017/01/31 by Cong T. S. Van, Van, C.
Engineering · Mathematics · Physics and Astronomy · #Alpha (finance) #Amplitude #BETA (programming language) #Combinatorics #Computer science #Electromagnetic Scattering and Analysis #FOS: Mathematics #Geometry #Inverse #Inverse problem #Inverse scattering problem #Mathematical analysis #Mathematics #Microwave Imaging and Scattering Analysis #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optics #Physics #Scattering #Scattering amplitude #Uniqueness #Unit sphere

paper · pdf · doi:10.48550/arxiv.1702.00028

openalex publication_date 2017/01/31 · openalex created_date 2017/02/10 · openalex updated_date 2026/08/01

Abstract

We consider the 3D inverse scattering problem with non-over-determined scattering data. The data are the scattering amplitude A(β, α₀, k) for all β∈ S_β², where S_β² is an open subset of the unit sphere S² in ℝ³, α₀ ∈ S² is fixed, and for all k ∈ (a,b), 0 ≤ a < b. The basic uniqueness theorem for this problem belongs to Ramm \citeR603. In this paper, a numerical method is given for solving this problem and the numerical results are presented.

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