On the ray-wavefront duality
A. Diaz Cano, F. Gonzalez-Gascon, L. L. Sanchez-Soto

TL;DR
This paper explores the relationship between rays and wavefronts in isotropic media, analyzing conditions under which wavefronts exist or fail, and providing examples of rays lacking wavefronts.
Contribution
It offers a detailed analysis of ray solutions and wavefront behavior, including conditions for their existence and examples of rays without wavefronts.
Findings
Identification of conditions for wavefront existence
Examples of rays without wavefronts
Analysis of local and global transversals
Abstract
We investigate the behavior of the solutions of the ray equation in isotropic media. We discuss local and global transversals and wavefronts and give examples of rays without wavefronts.
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