Fractional Legendre transformation and its use in Hamilton's formalism

Miguel Alonso, Gregory W. Forbes

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

2 Citations (Scopus)


A generalization of Hamilton's formalism for geometrical optics is given here to provide more convenient descriptions of the optical properties of certain classes of systems. This generalization is made by replacing the usual points and planes that are used as references in the definition of characteristic functions by more general surfaces. In this context, the fractional Legendre transform is used in the semigeometrical estimation of field propagators to eliminate errors introduced by caustics.

Original languageEnglish
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsDaniel Malacara-Hernandez, Sofia E. Acosta, Ramon Rodriguez-Vera, Zacarias Malacara, Arquimedes A. Morales
Place of PublicationWashington, DC
Number of pages4
ISBN (Print)0819421111, 9780819421111
Publication statusPublished - 1996
EventSecond Iberoamerican Meeting on Optics - Guanajuato, Mex
Duration: 18 Sep 199522 Sep 1995


OtherSecond Iberoamerican Meeting on Optics
CityGuanajuato, Mex

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