Cubic-spline expansion for electromagnetic imaging of buried multiple conductors

Chien Ching Chiu, Ting Chieh Tu, Tadeusz A Wysocki, Beata J. Wysock, Hung Cheng Lu

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We present an inverse scattering problem for recovering the shapes of multiple conducting cylinders with the immersed targets in a half-space by the genetic algorithm. Two separate perfect-conducting cylinders of unknown shapes are buried in one half-space and illuminated by a transverse magnetic plane wave from the other half-space. In the shape expansions, the cubic-spline method is utilized to describe the shapes of objects. Based on the boundary condition and the measured scattered field, we have derived a set of nonlinear integral equations, and the inverse scattering problem is reformulated into an optimization problem. The improved steady-state genetic algorithm is used to solve the global extreme solution. Here, frequency dependence on the inverse problem of buried multiple conductors is investigated. Numerical results show that the reconstruction is good in the resonant frequency range, even when the initial guesses are far different from the original shapes. On the contrary, if the frequency is too high or too low, the reconstruction becomes bad. In addition, the reconstructed errors for different distances between two conductors are investigated. It is found the reconstructed results are poor when the distance between two conductors is less than about a avelength.

Original languageEnglish (US)
Pages (from-to)321-336
Number of pages16
JournalElectromagnetics
Volume29
Issue number4
DOIs
StatePublished - May 1 2009

Fingerprint

splines
Splines
conductors
Genetic algorithms
Scattering
electromagnetism
Imaging techniques
half spaces
expansion
Inverse problems
Integral equations
inverse scattering
Natural frequencies
genetic algorithms
Boundary conditions
conduction
integral equations
resonant frequencies
plane waves
frequency ranges

Keywords

  • Cubic-spline
  • Fourier series
  • Half-space
  • Inverse problem
  • Steady-state genetic algorithm

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Radiation
  • Electronic, Optical and Magnetic Materials

Cite this

Cubic-spline expansion for electromagnetic imaging of buried multiple conductors. / Chiu, Chien Ching; Tu, Ting Chieh; Wysocki, Tadeusz A; Wysock, Beata J.; Lu, Hung Cheng.

In: Electromagnetics, Vol. 29, No. 4, 01.05.2009, p. 321-336.

Research output: Contribution to journalArticle

Chiu, Chien Ching ; Tu, Ting Chieh ; Wysocki, Tadeusz A ; Wysock, Beata J. ; Lu, Hung Cheng. / Cubic-spline expansion for electromagnetic imaging of buried multiple conductors. In: Electromagnetics. 2009 ; Vol. 29, No. 4. pp. 321-336.
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