Snell’s law revisited and generalized via Finsler geometry
DOI10.1142/s0219887823501384arXiv2207.13515OpenAlexW4321791063MaRDI QIDQ6140852
Steen Markvorsen, Enrique Pendás-Recondo
Publication date: 22 January 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.13515
wave propagationHuygens' principleFinsler metricsZermelo navigationFermat's principleSnell's lawanisotropic discontinuous media
Applications of differential geometry to physics (53Z05) Geodesics in global differential geometry (53C22) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Variational methods applied to problems in optics and electromagnetic theory (78M30)
Cites Work
- Unnamed Item
- On the energy functional on Finsler manifolds and applications to stationary spacetimes
- On the interplay between Lorentzian causality and Finsler metrics of Randers type
- A Finsler geodesic spray paradigm for wildfire spread modelling
- Seismic rays as Finsler geodesics.
- Raypaths as parametric curves in anisotropic, nonuniform media: differential-geometry approach
- Applications of cone structures to the anisotropic rheonomic Huygens' principle
- Applications of Randers geodesics for wildfire spread modelling
- On the definition and examples of cones and Finsler spacetimes
- Finsler geometry of seismic ray path in anisotropic media
- Nonsmooth Lagrangian Mechanics and Variational Collision Integrators
- Huygens’ envelope principle in Finsler spaces and analogue gravity
- On the definition and examples of Finsler metrics
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