Original Research

Transferences of Purkinje systems

W. F. Harris
African Vision and Eye Health | South African Optometrist: Vol 70, No 2 | a98 | DOI: https://doi.org/10.4102/aveh.v70i2.98 | © 2011 W. F. Harris | This work is licensed under CC Attribution 4.0
Submitted: 10 December 2011 | Published: 11 December 2011

About the author(s)

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

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The transferences of heterocentric astigmatic Purkinje systems are special: submatrices B and C, that is, the disjugacy and the divergence of the system, are symmetric and submatrix D (the divarication) is the transpose of submatrix A (the dilation).  It is the primary purpose of this paper to provide a proof.  The paper also derives other relationships among the fundamental properties and compact expressions for the transference and optical axis
locator of a Purkinje system. (S Afr Optom 2011 70(2) 57-60)


Purkinje system; transference; symplecticity; heterocentricity; astigmatism; optical axis


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