Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
Analysis of PDEs
2017-03-08 v1 Mathematical Physics
math.MP
Abstract
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 [12] from two dimensions and acoustic scattering to the much more challenging three dimensions and electromagnetic scattering.
Keywords
Cite
@article{arxiv.1608.00748,
title = {Recovering an electromagnetic obstacle by a few phaseless backscattering measurements},
author = {Jingzhi Li and Hongyu Liu and Yuliang Wang},
journal= {arXiv preprint arXiv:1608.00748},
year = {2017}
}