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Proceedings Paper

Fractional Legendre transformation and its use in Hamilton's formalism
Author(s): Miguel Angel Alonso; Gregory W. Forbes
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Paper Abstract

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.

Paper Details

Date Published: 5 February 1996
PDF: 4 pages
Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); doi: 10.1117/12.231076
Show Author Affiliations
Miguel Angel Alonso, The Institute of Optics/Univ. of Rochester (USA) and Macquarie Univ. (Australia)
Gregory W. Forbes, Macquarie Univ. (Australia)

Published in SPIE Proceedings Vol. 2730:
Second Iberoamerican Meeting on Optics
Daniel Malacara-Hernandez; Sofia E. Acosta-Ortiz; Ramon Rodriguez-Vera; Zacarias Malacara; Arquimedes A. Morales, Editor(s)

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