Department of Mathematics
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.
inverse scattering, perfect conducting obstacle, polyhedral, phaseless, backscattering
Source Publication Title
This is an author-created, un-copyedited version of an article accepted for publication published in Inverse Problems. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/1361-6420/aa5bf3.
Link to Publisher's Edition
Li, J., Liu, H., & Wang, Y. (2017). Recovering an electromagnetic obstacle by a few phaseless backscattering measurements. Inverse Problems, 33 (3), 035011. https://doi.org/10.1088/1361-6420/aa5bf3