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Reconstruction and uniqueness of an inverse scattering problem with impedance boundary

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Abstract

Consider an inverse scattering problem for a scatterer D ⊂ R3 with impedance type boundary condition. By defining the scatterer shape in a completely new way, we give a constructive method to recover the scatterer shape with unknown impedance coefficient. The uniqueness for this inverse problem is also obtained.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing Normal University, 210097, Nanjing, China

    Liu Jijun

  2. Department of Applied Mathematics, Southeast University, 210096, Nanjing, China

    Liu Jijun

  3. Department of Mathematics, Fudan University, 200433, Shanghai, China

    Cheng Jin

  4. Department of Mathematics, Graduate School of Science, Hokkaido University, 060-0810, Sapporo, Japan

    Gen Nakamura

Authors
  1. Liu Jijun
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  2. Cheng Jin
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  3. Gen Nakamura
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Correspondence to Liu Jijun.

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Jijun, L., Jin, C. & Nakamura, G. Reconstruction and uniqueness of an inverse scattering problem with impedance boundary. Sci. China Ser. A-Math. 45, 1408–1419 (2002). https://doi.org/10.1007/BF02880035

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  • DOI: https://doi.org/10.1007/BF02880035

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