### 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 language | English (US) |
---|---|

Pages (from-to) | 321-336 |

Number of pages | 16 |

Journal | Electromagnetics |

Volume | 29 |

Issue number | 4 |

DOIs | |

State | Published - May 1 2009 |

### Fingerprint

### 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

*Electromagnetics*,

*29*(4), 321-336. https://doi.org/10.1080/02726340902876977

**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.

Research output: Contribution to journal › Article

*Electromagnetics*, vol. 29, no. 4, pp. 321-336. https://doi.org/10.1080/02726340902876977

}

TY - JOUR

T1 - Cubic-spline expansion for electromagnetic imaging of buried multiple conductors

AU - Chiu, Chien Ching

AU - Tu, Ting Chieh

AU - Wysocki, Tadeusz A

AU - Wysock, Beata J.

AU - Lu, Hung Cheng

PY - 2009/5/1

Y1 - 2009/5/1

N2 - 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.

AB - 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.

KW - Cubic-spline

KW - Fourier series

KW - Half-space

KW - Inverse problem

KW - Steady-state genetic algorithm

UR - http://www.scopus.com/inward/record.url?scp=70449597919&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70449597919&partnerID=8YFLogxK

U2 - 10.1080/02726340902876977

DO - 10.1080/02726340902876977

M3 - Article

VL - 29

SP - 321

EP - 336

JO - Electromagnetics

JF - Electromagnetics

SN - 0272-6343

IS - 4

ER -