Original Research

Dependence of the transference of a reduced eye on frequency of light*

T. Evans, W. F. Harris
African Vision and Eye Health | South African Optometrist: Vol 70, No 4 | a112 | DOI: https://doi.org/10.4102/aveh.v70i4.112 | © 2011 T. Evans, W. F. Harris | This work is licensed under CC Attribution 4.0
Submitted: 11 December 2011 | Published: 11 December 2011

About the author(s)

T. Evans, Department of Optometry, University of Johannesburg, South Africa
W. F. Harris, Department of Optometry, University of Johannesburg, South Africa

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In Gaussian optics the transference is a matrix that is a complete representation of the effects of the system on a ray traversing it. Almost all of the familiar optical properties of the system, such asrefractive error and power of the system, can be calculated from the transference. Because of the central importance of the transference it is useful to have some idea of how it depends on the frequencyof light. This paper examines the simplest model eye, the reduced eye. The dependence of the transference is calculated in terms of both frequency andwavelength of light and both dependencies are
displayed graphically. The principal matrix logarithms are also calculated and displayed graphically. Chromatic difference in refractive compensation, power and ametropia are obtained for the reduced eye from the transferences.  (S Afr Optom 2011 70(4) 149-155)


Transference; frequency; wave- length; Emsley’s reduced eye; transformed transference; chromatic difference in: refractive compensation; power and ametropia


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