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Shape identification by physical optics: the two-dimensional TE case.

Angelo Liseno1, Rocco Pierri, Francesco Soldovieri

  • 1Seconda Università di Napoli, Dipartimento di Ingegneria dell'lnformazione, via Roma 29, 181031 Aversa, Italy.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|September 13, 2003
PubMed
Summary

This study reconstructs the shape of conducting objects using scattered wave data. The method simplifies inverse scattering problems for Transverse Electric (TE) polarized waves.

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Area of Science:

  • Electromagnetics and wave propagation.
  • Computational physics and inverse problems.

Background:

  • Reconstructing object shapes from scattered fields is crucial in various scientific and engineering disciplines.
  • Previous methods often involve complex, non-linear inverse scattering problems.

Purpose of the Study:

  • To develop a method for reconstructing the shape of perfectly conducting objects.
  • To linearize the inverse scattering problem for Transverse Electric (TE) polarized plane waves.

Main Methods:

  • Utilizing the Kirchhoff scattering model to linearize the inverse problem.
  • Applying an asymptotic approximation for further simplification.
  • Employing singular-value decomposition (SVD) for the reconstruction, adapted from Transverse Magnetic (TM) case methods.

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Main Results:

  • Successfully demonstrated a method for shape reconstruction from far-field scattering data.
  • Linearization via Kirchhoff model and asymptotic approximation simplifies computational complexity.
  • Adaptation of SVD provides a robust approach for the TE polarization case.

Conclusions:

  • The proposed method offers an efficient approach to reconstruct perfectly conducting object shapes.
  • This work extends existing inverse scattering techniques to TE-polarized waves.
  • The combination of Kirchhoff model, asymptotic approximation, and SVD is effective for this class of problems.