5 February 1996 Fractional Legendre transformation and its use in Hamilton's formalism
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Proceedings Volume 2730, Second Iberoamerican Meeting on Optics; (1996) https://doi.org/10.1117/12.231076
Event: Second Iberoamerican Meeting on Optics, 1995, Guanajuato, Mexico
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.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Miguel Angel Alonso, Miguel Angel Alonso, Gregory W. Forbes, Gregory W. Forbes, } "Fractional Legendre transformation and its use in Hamilton's formalism", Proc. SPIE 2730, Second Iberoamerican Meeting on Optics, (5 February 1996); doi: 10.1117/12.231076; https://doi.org/10.1117/12.231076
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