Recovering an electromagnetic obstacle by a few phaseless backscattering measurements

Jingzhi Li, Hongyu Liu*, Yuliang Wang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

39 Citations (Scopus)
17 Downloads (Pure)


We consider the electromagnetic scattering from a convex polyhedral PEC or PMC obstacle due to a time-harmonic incident plane wave. It is shown that the modulus of the far-field pattern in the backscattering aperture possesses a certain local maximum behavior. Using the local maximum indicating phenomena, one can determine the exterior unit normal directions, as well as the face areas, of the front faces of the obstacle. Then we propose a recovery scheme of reconstructing the obstacle by phaseless backscattering measurements. This work significantly extends our recent study in Li and Liu (2014 preprint) from two dimensions and acoustic scattering to the more challenging three dimensions and electromagnetic scattering.

Original languageEnglish
Article number035011
JournalInverse Problems
Issue number3
Early online date15 Feb 2017
Publication statusPublished - Mar 2017

Scopus Subject Areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

User-Defined Keywords

  • backscattering
  • inverse scattering
  • perfect conducting obstacle
  • phaseless
  • polyhedral


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