Original Research

Eigenvalues of the Transferences of Gaussian Optical Systems

W.F. Harris
African Vision and Eye Health | South African Optometrist: Vol 64, No 4 | a240 | DOI: https://doi.org/10.4102/aveh.v64i4.240 | © 2005 W.F. Harris | This work is licensed under CC Attribution 4.0
Submitted: 19 December 2005 | Published: 19 December 2005

About the author(s)

W.F. Harris, Optometric Science Research Group, Department of Optometry, and Department of Mathematics and Statistics, University of Johannesburg, PO Box 524, Auckland Park, 2006, South Africa

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Abstract

The  problem  of  how  to  define  an  average eye leads to the question of what eigenvalues are  possible  for  ray  transferences.  This  paper examines the set of possible eigenvalues in the simplest possible case, that of optical systems consisting  of  elements  that  are  stigmatic  and centred on a common axis.

Keywords

Transference, Gaussian systems, eigenvalues, spherical systems, stigmatic sys-tems, symplecticity

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