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arXiv · 1803.02542

Lens Rigidity in Scattering by Unions of Strictly Convex Bodies in $\R^2$

Lyle Noakes·Luchezar Stoyanov
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Abstract

It was proved in \cite{NS1} that obstacles $K$ in $\R^d$ that are finite disjoint unions of strictly convex domains with $C^3$ boundaries are uniquely determined by the travelling times of billiard trajectories in their exteriors and also by their so called scattering length spectra. However the case $d = 2$ is not properly covered in \cite{NS1}. In the present paper we give a separate different proof of the same result in the case $d = 2$.

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Lyle Noakes, Luchezar Stoyanov. 2018-03-07. Lens Rigidity in Scattering by Unions of Strictly Convex Bodies in $\R^2$. https://arxiv.org/abs/1803.02542

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