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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Detalhes bibliográficos
Autores: GRETHER, M, MORENO, EL
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:1992
País:México
Recursos:Universidad Nacional Autónoma de México
Repositório:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/3518
Acesso em linha:http://hdl.handle.net/11154/3518
Access Level:Acceso aberto
Palavra-chave:Physics, Multidisciplinary
Descrição
Resumo: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.