TY - JOUR
T1 - Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data
AU - Gao , Jiahui
AU - Lv , Junliang
AU - Niu , Tian
JO - Communications in Mathematical Research 
VL - 2
SP - 189
EP - 208
PY - 2025
DA - 2025/06
SN - 41
DO - http://doi.org/ 10.4208/cmr.2025-0007
UR - https://global-sci.org/intro/article_detail/cmr/24191.html
KW - Uniqueness, inverse electromagnetic scattering, phaseless near field, locally rough surface, reciprocity relation.
AB - <p style="text-align: justify;">In this paper, we consider the reconstruction of a locally rough surface from phaseless near-field data generated by the incident electric dipoles.
To obtain the uniqueness for this inverse problem, we use the superposition
of point sources as the incident waves. These point sources lie on an admissible surface. The measured data are collected from another admissible surface
above this locally rough surface. We derive the Rellich’s lemma and the reciprocity relation for the electric total fields. Based on them, we establish the
uniqueness in phaseless inverse electromagnetic scattering by locally rough
surfaces.</p>