A Newton Method for the Reconstruction of Perfectly Conducting Slightly Rough Surface Profiles

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22 Citations (Scopus)

Abstract

A new method for the reconstruction of a one-dimensional profile of a perfectly conducting rough surface illuminated by a plane wave at a fixed frequency is addressed. By a special representation of the scattered electric field, the total field in the half-space over the surface is obtained from the measured data, which leads to a nonlinear equation with a surface function as unknown. The nonlinear equation is solved iteratively via the Newton method and a regularization in the least square sense. Numerical simulations show that the method yields satisfactory reconstructions for slightly rough surface profiles.

Original languageEnglish
Pages (from-to)275-279
Number of pages5
JournalIEEE Transactions on Antennas and Propagation
Volume54
Issue number1
DOIs
Publication statusPublished - Jan 2006

Keywords

  • Inverse scattering
  • method rough surface
  • Newton's

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