On the application of Lorentz-Finsler geometry to model wave propagation

The recent increasing interest in the study of Lorentz-Finsler geometry has led to several applications to model real-world physical phenomena. Our purpose is to provide a simple, step-by-step review on how to build and implement such a geometric model to describe the propagation of a classical wave...

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Bibliographic Details
Published inarXiv.org
Main Author Pendás-Recondo, Enrique
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 06.08.2024
Subjects
Time dependence
Wave propagation
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Summary:The recent increasing interest in the study of Lorentz-Finsler geometry has led to several applications to model real-world physical phenomena. Our purpose is to provide a simple, step-by-step review on how to build and implement such a geometric model to describe the propagation of a classical wave satisfying Fermat's and Huygens' principles in an anisotropic and rheonomic (time-dependent) medium. The model is based on identifying the individual wave trajectories as lightlike pregeodesics of a specific Lorentz-Finsler metric, which obey a simple ODE system and can therefore be easily computed in real time.
ISSN:2331-8422