PreprintCC BY-SA 4.0arXiv
Uniqueness in inverse elastic scattering from traction-free polygonal obstacles with a single incoming wave
Abstract
In this article, we establish uniqueness in the inverse problem of time-harmonic elastic scattering from a bounded, traction-free obstacle in two dimensions. For a single incident plane wave, it is proved that a connected polygonal obstacle is uniquely determined by the measured far-field pattern. The analysis is based on a reflection principle for the Navier equation under traction-free boundary conditions and unique continuation of elastic fields.
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BibTeX
@misc{hu2026uniqueness,
title = {{Uniqueness in inverse elastic scattering from traction-free polygonal obstacles with a single incoming wave}},
author = {Guanghui Hu and Vinay Rana and Manmohan Vashisth},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11535},
eprint = {2610.11535},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11535},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Uniqueness in inverse elastic scattering from traction-free polygonal obstacles with a single incoming wave
AU - Guanghui Hu
AU - Vinay Rana
AU - Manmohan Vashisth
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11535
UR - https://arxiv.org/abs/2610.11535
AB - In this article, we establish uniqueness in the inverse problem of time-harmonic elastic scattering from a bounded, traction-free obstacle in two dimensions. For a single incident plane wave, it is proved that a connected polygonal obstacle is uniquely determined by the measured far-field pattern. The analysis is based on a reflection principle for the Navier equation under traction-free boundary conditions and unique continuation of elastic fields.
ER -