Summary
Principles of an alternative approach to the ray theory and paraxial ray approximation (PRA) theory are discussed. Invariant equations for the ray, the eikonal equation and basic equations of the PRA-theory are derived on the basis of Riemannian geometry. Paraxial rays and paraxial time field equations in general curvilinear coordinates are shown as an example of application.
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Hrabě, J. Paraxial ray theory in general coordinates. Stud Geophys Geod 38, 157–167 (1994). https://doi.org/10.1007/BF02295911
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DOI: https://doi.org/10.1007/BF02295911