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arXiv · 2511.16466

Horizontal and Vertical Regularity of Elastic Wave Geometry

Joonas Ilmavirta·Pieti Kirkkopelto·Antti Kykkänen
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Abstract

The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic and algebraic properties a general anisotropic stiffness tensor field has to satisfy in order for Finsler-geometric methods to be applicable in studying inverse problems related to imaging with elastic waves.

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Joonas Ilmavirta, Pieti Kirkkopelto, Antti Kykkänen. 2025-11-20. Horizontal and Vertical Regularity of Elastic Wave Geometry. https://arxiv.org/abs/2511.16466

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