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

Jingzhi Li*, Hongyu LIU, Qi Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)547-561
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume8
Issue number3
DOIs
Publication statusPublished - 1 Jun 2015

Scopus Subject Areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

User-Defined Keywords

  • Inverse scattering
  • Multilevel
  • Sampling method
  • Single-shot
  • Two-stage

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