Image Reconstruction of a Buried Conductor by Modified Particle Swarm Optimization

Abstract

In this paper, the shape reconstruction of a perfectly conducting cylinder buried in a half-space by measured transverse magnetic scattered field and the modified particle swarm optimization (MPSO). Assume that a conducting cylinder of unknown shape is buried in one half-space and scatters the field incident from another half-space where the scattered filed is measured. Based on the boundary condition and the measured scattered field, a set of nonlinear integral equations is derived and the imaging problem is reformulated into an optimization problem. The inverse problem is resolved by an optimization approach, and the global searching scheme PSO is then employed to search the parameter space. Two algorithms: the PSO and the MPSO have been examined. Both techniques have been tested in the case of simulated measurements contaminated by additive Gaussian noise. Numerical results demonstrate that even when the initial guess is far away from the exact one, the two algorithms can both obtain good reconstruction and the MPSO outperforms the PSO in convergence speed.

Keywords:

• Inverse scattering
• Microwave imaging
• Modified particle swarm optimization

Additional information

Notes on contributors

Chien-Ching Chiu

Chien-Ching Chiu received his BSCE degree from National Chiao Tung University, Hsinchu, Taiwan, in 1985 and his MSEE and PhD degrees from National Taiwan University, Taipei, in 1987 and 1991, respectively.

From 1987 to 1989, he was a communication officer with the ROC Army Force. In 1992, he joined the faculty of the Department of Electrical Engineering, Tamkang Jniversity, where he is now a professor. From 1998 to 1999, he was a visiting cholar at the Massachusetts Institute of Technology, Cambridge, and the University of Illinois at Urbana-Champaign. He was a visiting professor with he University of Wollongong, Australia, in 2006.

His current research interests include microwave imaging, numerical techniques in electromagnetics, indoor wireless communications, and ultra-wideband communication systems. He has published more than 90 journal papers on inverse scattering problems, communication systems, and optimization algorithms. E-mail: [email protected]

Chien-Hung Chen

Chien-Hung Chen was born in Kaohsiung, Taiwan, Republic of China, on March 8, 1971. He received the MSEE degree and PhD degrees from Tamkang University, Tamsui, Taiwan, in 1999 and 2006, respectively. In 2000 he joined the faculty of the Department of Computer and Communication Engineering, China College of Marine Technology and Commerce. He had been the Chair of Department of Computer and Communication Engineering, Taipei College of Maritime Technology from August 2008 to August 2011. He had been the Dean of Research and Department Affairs Office, Taipei College of Maritime Technology from August 2011 to August 2012. He has been the Chief Director, Library and Information Center; and the Chair of Department of Information Technique and Mobile Communication Engineering, Taipei College of Maritime Technology since August 2012. His current research interests include indoor wireless communications, numerical techniques in electromagnetics, RF circuits, artificial intelligence and robot. E-mail: [email protected]

Yu-Sheng Fan

Yu-Sheng Fan was born in Hsinchu, Taiwan, Republic of China. He is now a graduate student in the Department of Electrical Engineering, Tamkang University. His current research interests include numerical techniques in microwave imaging. E-mail: [email protected]