One-dimensional profile inversion of a cylindrical layer with inhomogeneous impedance boundary: A Newton-type iterative solution

Ali Yapar*, Hülya Şahintürk, Ibrahim Akduman, Rainer Kress

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

A method to reconstruct the one-dimensional profile of a cylindrical layer with an inhomogeneous impedance boundary is proposed. Through the finite Fourier transformation of the field expressions the problem is first reduced to the solutions of a two-coupled system of operator equations which is solved iteratively starting from an initial estimate of the profile. The reconstruction of the profile is achieved by linearizing one of the equations in the Newton sense. The method is tested by considering several numerical examples and yields satisfactory reconstructions. As is typical for Newton-type methods, the convergence of the iteration depends on the initial guess.

Original languageEnglish
Pages (from-to)2192-2199
Number of pages8
JournalIEEE Transactions on Geoscience and Remote Sensing
Volume43
Issue number10
DOIs
Publication statusPublished - Oct 2005

Keywords

  • Impedance boundary condition (IBC)
  • Newton's method
  • Profile inversion

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