Transformations of ray transferences of optical systems to augmented Hamiltonian matrices and the problem of the average system

African Vision and Eye Health

 
 
Field Value
 
Title Transformations of ray transferences of optical systems to augmented Hamiltonian matrices and the problem of the average system
 
Creator Cardoso, J. R.
 
Subject — ray transference; symplectic matrix; Hamiltonian matrix; matrix functions; average
Description The first-order optical nature of an optical system (including an eye) is completely characterized by a 55 ×  matrix called the ray transference.  It is known  that the image of a ray transference by the matrix logarithm function is an augmented Hamiltonian matrix.  It turns out that there are other ways of transforming transferences into augmented Hamiltonian matrices.  They include Cayley transforms and modified Cayley transforms.  This paper will describe these transforms with a view to finding the most suitable one for quantitative analyses of eyes and other systems in augmented Hamiltonian spaces.  In particular we look at the calculation of average systems.
 
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.v66i2.222
 
Source African Vision and Eye Health; South African Optometrist: Vol 66, No 2 (2007); 56-61 2410-1516 2413-3183
 
Language eng
 
Relation
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:

https://avehjournal.org/index.php/aveh/article/view/222/189
 
Coverage — — —
Rights Copyright (c) 2007 J. R. Cardoso https://creativecommons.org/licenses/by/4.0
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