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Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data

Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data

Year:    2025

Author:    Jiahui Gao, Junliang Lv, Tian Niu

Communications in Mathematical Research , Vol. 41 (2025), Iss. 2 : pp. 189–208

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmr.2025-0007

Communications in Mathematical Research , Vol. 41 (2025), Iss. 2 : pp. 189–208

Published online:    2025-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Uniqueness inverse electromagnetic scattering phaseless near field locally rough surface reciprocity relation.

Author Details

Jiahui Gao

Junliang Lv

Tian Niu