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- W2124040297 abstract "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 at lens surfaces. That is, in this formulation there are no aberrations arising from simple transit in a uniform medium. The price to be paid for this formulation is that the Lie algebra of Hamiltonian vector fields must be enlarged to include certain non-Hamiltonian vector fields. It is shown that three such vector fields are required at the level of third-order aberrations, and sufficient machinery is developed to generalize these results to higher order." @default.
- W2124040297 created "2016-06-24" @default.
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- W2124040297 date "1997-01-01" @default.
- W2124040297 modified "2023-09-24" @default.
- W2124040297 title "A Lie connection between Hamiltonian and Lagrangian optics" @default.
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- W2124040297 doi "https://doi.org/10.46298/dmtcs.238" @default.
- W2124040297 hasPublicationYear "1997" @default.
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