THE HAMILTON CHARACTERISTIC FUNCTIONS IN THE DESIGN OF AN ASPHERICAL LENS

After a brief review of Hamiltonian optics, we find the parametric equations for a correcting surface of a plane-aspherical lens. Under the variation of all the parameters involved, the general shapes adopted by this aspherical surface are shown. When the source position coincides with the plane ref...

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Bibliographic Details
Authors: GRETHER, M, MORENO, EL
Format: article
Status:Published version
Publication Date:1992
Country:México
Institution:Universidad Nacional Autónoma de México
Repository:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3518
Online Access:http://hdl.handle.net/11154/3518
Access Level:Open access
Keyword:Physics, Multidisciplinary
Description
Summary:After a brief review of Hamiltonian optics, we find the parametric equations for a correcting surface of a plane-aspherical lens. Under the variation of all the parameters involved, the general shapes adopted by this aspherical surface are shown. When the source position coincides with the plane refracting surface, the aspherical surface recovers a cartesian oval shape, as expected. As an example of this, we recover explicitly the cases of the aplanatic sphere and the Limacon of Pascal in analytical form.