by Joonas Ilmavirta, Pieti Kirkkopelto and Antti Kykkänen
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.
Reference:
Horizontal and Vertical Regularity of Elastic Wave Geometry (Joonas Ilmavirta, Pieti Kirkkopelto and Antti Kykkänen), 2025.
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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.
[arXiv]
Bibtex Entry:
@unpublished{elastic-regularity,
author = {Joonas Ilmavirta and Pieti Kirkkopelto and Antti Kykk\"{a}nen},
title = {{Horizontal and Vertical Regularity of Elastic Wave Geometry}},
month = nov,
year = 2025,
arxiv = {2511.16466},
url = {http://users.jyu.fi/~jojapeil/pub/elastic-regularity.pdf},
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.}
}