transformations of ray transferences of optical systems to augmented hamiltonian matrices and the problem of the average system

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ID: 247130
2007
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Abstract
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.
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cardoso2007africantransformations Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;J. R. Cardoso
Journal computers in human behavior
Year 2007
DOI
10.4102/aveh.v66i2.222
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Keywords Keywords not found

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