Quantitative analysis of transformed ray transferences of optical systems in a space of augmented Hamiltonian matrices*

African Vision and Eye Health


 
 
Field Value
 
Title Quantitative analysis of transformed ray transferences of optical systems in a space of augmented Hamiltonian matrices*
 
Creator Harris, W. F.
 
Subject — —
Description There is a need for methods for quantitative analysis of the first-order optical character of optical systems including the eye and components of the eye.  Because of their symplectic nature ray transferences themselves are not closed under addition and multiplication by ascalar and, hence, are not amenable to conventional quantitative analysis such as the calculation of an arithmetic mean.  However transferences can be transformed into augmented Hamiltonian matrices which are amenable to such analysis.  This paper provides a general methodology and in particular shows how to calculate means and variance-covariances representing the first-order optical character of optical systems.  The systems may be astigmatic and may have decentred elements.  An accompanying paper shows application to the cornea of the human eye with allowance for thickness.
 
Publisher AOSIS
 
Contributor
Date 2007-12-19
 
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — —
Format application/pdf
Identifier 10.4102/aveh.v66i2.224
 
Source African Vision and Eye Health; South African Optometrist: Vol 66, No 2 (2007); 62-67 2410-1516 2413-3183
 
Language eng
 
Relation https://avehjournal.org/index.php/aveh/article/view/224/191
 
Coverage — — —
Rights Copyright (c) 2007 W. F. Harris https://creativecommons.org/licenses/by/4.0