Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method

Jingzhi Li; Hongyu Liu; Qi Wang

doi:10.3934/dcdss.2015.8.547

Article Contents

2015, Volume 8, Issue 3: 547-561. Doi: 10.3934/dcdss.2015.8.547

This issue Previous Article Mathematical modelling of multi conductor cables Next Article The factorization method for scatterers with different physical properties

Fast imaging of electromagnetic scatterers by a two-stage multilevel sampling method

1.
Faculty of Science, South University of Science and Technology of China, Shenzhen, 518055
2.
Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
3.
Department of Computing Sciences, School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049

Received: November 30, 2013

Revised: January 31, 2014

Published: June 2015

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Abstract

Some effective imaging schemes for inverse scattering problems were recently proposed in [13,14] for locating multiple multiscale electromagnetic (EM) scatterers, namely a combination of components of possible small size and regular size compared to the detecting EM wavelength. In this paper, instead of using a single far-field measurement, we relax the assumption of one fixed frequency to multiple ones, and develop efficient numerical techniques to speed up those imaging schemes by adopting multi-frequency and Multilevel ideas in a two-stage manner. Numerical tests are presented to demonstrate the efficiency and the salient features of the proposed fast imaging scheme.

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Mathematics Subject Classification: Primary: 78A46; Secondary: 35Q60.

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References

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