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Volume 41, Issue 2
Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data

Jiahui Gao, Junliang Lv & Tian Niu

DOI: 10.4208/cmr.2025-0007

Commun. Math. Res., 41 (2025), pp. 189-208.

Published online: 2025-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

78A46, 35P25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-41-189, author = {Gao , JiahuiLv , Junliang and Niu , Tian}, title = {Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data}, journal = {Communications in Mathematical Research }, year = {2025}, volume = {41}, number = {2}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/ 10.4208/cmr.2025-0007}, url = {http://global-sci.org/intro/article_detail/cmr/24191.html} }
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 -

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.

Gao , JiahuiLv , Junliang and Niu , Tian. (2025). Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data. Communications in Mathematical Research . 41 (2). 189-208. doi: 10.4208/cmr.2025-0007
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