A Lie connection between Hamiltonian and Lagrangian optics

It is shown that there is a non-Hamiltonian vector field that provides a Lie algebraic connection between Hamiltonian and Lagrangian optics. With the aid of this connection, geometrical optics can be formulated in such a way that all aberrations are attributed to ray transformations occurring only a...

Full description

Bibliographic Details
Main Author: Alex J. Dragt
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 1997-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/238/pdf