Acta Metallurgica Sinica(English letters) ›› 2007, Vol. 14 ›› Issue (4): 118-121.doi: 1005-8885 (2007) 04-0118-04

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Reconstruction of cylindrically layered media using an iterative algorithm with a stable solution

CHENG Ji-zhen; NIU Zuo-yuan; CHENG Chong-hu   

  1. College of Communications and Information Engineering, Nanjing University of Posts and Telecommunications
  • Received:2006-11-16 Revised:1900-01-01 Online:2007-12-24
  • Contact: CHENG Ji-zhen


The reconstruction of cylindrically layered media is investigated in this article. The inverse problem is modeled using a source-type integral equation with a series of cylindrical waves as incidences, and a conventional Born iterative procedure is modified for solving the integral equation. In the modified iterative procedure, a conventional single-point approximation for the calculation of the field inside media is replaced by a multi-points approximation to improve the numerical stability of its solution. Numerical simulations for different permittivity distributions are demon- strated in terms of artificial scattering data with the procedure. The result shows that the procedure enjoys both accuracy and stability in the numerical computation.

Key words:

layered media; inverse problems; integral equations; iterative methods