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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...

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Hlavní autor: Alex J. Dragt
Médium: Artigo
Jazyk:Inglês
Vydáno: Discrete Mathematics & Theoretical Computer Science 1997-01-01
Edice:Discrete Mathematics & Theoretical Computer Science
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On-line přístup:https://dmtcs.episciences.org/238/pdf
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