An Iterative Algorithm for Imaging of Rough Surfaces Separating Two Dielectric Media

Ahmet Sefer, Ali Yapar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

In this article, an efficient algorithm for the reconstruction of a 1-D random rough surface profile separating two lossy dielectric half-spaces is presented. First, the general scattering problem is formulated by the use of surface integral equations (SIEs). Then, the synthetic scattering field data are obtained through the use of these conventional SIEs. In the inverse problem, the same SIEs together with the data equation are solved in an iterative fashion to reconstruct the surface variation. In the numerical implementation, the so-called ill-posed inverse problem is regularized in the sense of Tikhonov, and a least squares solution is obtained by the use of appropriate basis functions. A very detailed numerical assessment of the presented approach is provided which shows that the method is very effective and promising.

Original languageEnglish
Article number9107392
Pages (from-to)1041-1051
Number of pages11
JournalIEEE Transactions on Geoscience and Remote Sensing
Volume59
Issue number2
DOIs
Publication statusPublished - Feb 2021

Bibliographical note

Publisher Copyright:
© 1980-2012 IEEE.

Keywords

  • Dielectric medium
  • inverse problem
  • Newton's method
  • rough surface scattering
  • surface integral equations (SIEs)

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