Horizontal and Vertical Regularity of Elastic Wave Geometry (bibtex)
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. [show abstract] [hide 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. [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@unpublished{elastic-regularity,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.}
}
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