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Analysis of two-dimensional electromagnetic scattering by a perfectly conducting obstacle in a homogeneous chiral environment

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Abstract

The time-harmonic electromagnetic plane waves incident on a perfectly conducting obstacle in a homogeneous chiral environment are considered. A two-dimensional direct scattering model is established and the existence and uniqueness of solutions to the problem are discussed by an integral equation approach. The inverse scattering problem to find the shape of scatterer with the given far-field data is formulated. Result on the uniqueness of the inverse problem is proved.

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References

  1. Lindell I V, Silverman M P. Plane-waves scattering from a nonchiral object in a chiral environment, Journal of the Optical Society of America A, 1997, 14: 79–90.

    Article  Google Scholar 

  2. Kampia R D, Lakhtakia A. Extended Maxwell Garnett model for chiral-in-chiral composites, J Phys D, 1993, 26: 1746–1758.

    Article  Google Scholar 

  3. Athanasiadis C, Costakis G, Stratis I G. Electromagnetic scattering by a homogeneous chiral obstacle in a chiral environment, SIMA J Appl Math, 2000, 64: 245–258.

    Article  MATH  MathSciNet  Google Scholar 

  4. Lakhtakia A, Varadan V K, Varadan V V. Time-harmonic Electromagnetic Fields in Chiral Media, Berlin, Heidelberg, New York: Springer-Verlag, 1989.

    Google Scholar 

  5. Ammari H, Nédélec J C. Time-harmonic electromagnetic fields in chiral media, In: Meister E ed, Modern Mathematical Methods in Diffraction Theory and its Applications in Engineering, 1997, 174–202.

  6. Colton D, Kress R. Inverse Acoustic and Electromagnetic Scattering Theory, 2nd ed, New York: Springer-Verlag, 1998.

    MATH  Google Scholar 

  7. Colton D, Kress R. Integral Equation Methods in Scattering Theory, New York: Wiley, 1983.

    MATH  Google Scholar 

  8. Gerlach T. The two-dimensional electromagnetic inverse scattering problem for chiral media, Inverse Problems, 1999, 16: 1663–1675.

    Article  MathSciNet  Google Scholar 

  9. Li J C, Zhou X C. Asymptotic mehtod in mathematics and physics(in Chinese), Beijing: Science Press, 2002.

    Google Scholar 

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Supported by the Key Project of Chinese Ministry of Education (102088) and the NNSF of China(10431030).

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Gao, T., Ma, F. & Zhang, D. Analysis of two-dimensional electromagnetic scattering by a perfectly conducting obstacle in a homogeneous chiral environment. Appl. Math. Chin. Univ. 22, 259–266 (2007). https://doi.org/10.1007/s11766-007-0302-6

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  • DOI: https://doi.org/10.1007/s11766-007-0302-6

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