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arXiv · 2610.11535

Uniqueness in inverse elastic scattering from traction-free polygonal obstacles with a single incoming wave

Guanghui Hu·Vinay Rana·Manmohan Vashisth
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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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Guanghui Hu, Vinay Rana, Manmohan Vashisth. 2026-10-08. Uniqueness in inverse elastic scattering from traction-free polygonal obstacles with a single incoming wave. https://arxiv.org/abs/2610.11535

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