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Uniqueness and local stability for the inverse scattering problem of determining the cavity

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Abstract

Considering a time-harmonic electromagnetic plane wave incident on an arbitrarily shaped open cavity embedded in infinite ground plane, the physical process is modelled by Maxwell’s equations. We investigate the inverse problem of determining the shape of the open cavity from the information of the measured scattered field. Results on the uniqueness and the local stability of the inverse problem in the 2-dimensional TM (transverse magnetic) polarization are proved in this paper.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, China

    Lixin Feng

  2. School of Mathematical Sciences, Heilongjiang University, 150080, Harbin, China

    Lixin Feng

  3. School of Mathematical Sciences, Jilin University, 130012, Changchun, China

    Fuming Ma

Authors
  1. Lixin Feng
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  2. Fuming Ma
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Correspondence to Lixin Feng or Fuming Ma.

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Feng, L., Ma, F. Uniqueness and local stability for the inverse scattering problem of determining the cavity. Sci. China Ser. A-Math. 48, 1113–1123 (2005). https://doi.org/10.1360/022004-18

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  • DOI: https://doi.org/10.1360/022004-18

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