Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis

An appendix to Le Grand’s 1945 book, Optique Physiologique: Tome Premier: La Dioptrique de l’Œil et Sa Correction, briefly dealt with the application of matrices in optics.  However the appendix was omitted from the well-known English translation, Physiological Optics, which appeared in 1980.  Cons...

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Main Author: William Frith Harris
Format: Article
Language:English
Published: AOSIS 2013-12-01
Series:African Vision and Eye Health
Subjects:
Online Access:https://avehjournal.org/index.php/aveh/article/view/57
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author William Frith Harris
author_facet William Frith Harris
author_sort William Frith Harris
collection DOAJ
description An appendix to Le Grand’s 1945 book, Optique Physiologique: Tome Premier: La Dioptrique de l’Œil et Sa Correction, briefly dealt with the application of matrices in optics.  However the appendix was omitted from the well-known English translation, Physiological Optics, which appeared in 1980.  Consequently the material is all but forgotten.  This is unfortunate in view of the importance of the dioptric power matrix and the ray transference which entered the optometric literature many years later.  Motivated by the perception that there has not been enough care in optometry to attribute concepts appropriately this paper attempts a careful analysis of Le Grand’s thinking as reflected in his appendix.  A translation into English is provided in the appendix to this paper.  The paper opens with a summary of the basics of Gaussian and linear optics sufficient for the interpretation of Le Grand’s appendix which follows.  The paper looks more particularly at what Le Grand says in relation to the transference and the dioptric power matrix though many other issues are also touched on including the conditions under which distant objects will map to clear images on the retina and, more particularly, to clear images that are undistorted.  Detailed annotations of Le Grand’s translated appendix are provided. (S Afr Optom 2013 72(4) 145-166)
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spelling doaj.art-08ec632452bd49ea93018fbd5d4b5fd52022-12-22T00:21:56ZengAOSISAfrican Vision and Eye Health2413-31832410-15162013-12-0172414516610.4102/aveh.v72i4.5727Yves Le Grand on matrices in optics with application to vision: Translation and critical analysisWilliam Frith Harris0Department of Optometry, University of JohannesburgAn appendix to Le Grand’s 1945 book, Optique Physiologique: Tome Premier: La Dioptrique de l’Œil et Sa Correction, briefly dealt with the application of matrices in optics.  However the appendix was omitted from the well-known English translation, Physiological Optics, which appeared in 1980.  Consequently the material is all but forgotten.  This is unfortunate in view of the importance of the dioptric power matrix and the ray transference which entered the optometric literature many years later.  Motivated by the perception that there has not been enough care in optometry to attribute concepts appropriately this paper attempts a careful analysis of Le Grand’s thinking as reflected in his appendix.  A translation into English is provided in the appendix to this paper.  The paper opens with a summary of the basics of Gaussian and linear optics sufficient for the interpretation of Le Grand’s appendix which follows.  The paper looks more particularly at what Le Grand says in relation to the transference and the dioptric power matrix though many other issues are also touched on including the conditions under which distant objects will map to clear images on the retina and, more particularly, to clear images that are undistorted.  Detailed annotations of Le Grand’s translated appendix are provided. (S Afr Optom 2013 72(4) 145-166)https://avehjournal.org/index.php/aveh/article/view/57Le GrandGaussian opticslinear opticsdioptric power matrixray transferencecondition for clear retinal imagescondition for undistorted imagesastigmatism
spellingShingle William Frith Harris
Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis
African Vision and Eye Health
Le Grand
Gaussian optics
linear optics
dioptric power matrix
ray transference
condition for clear retinal images
condition for undistorted images
astigmatism
title Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis
title_full Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis
title_fullStr Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis
title_full_unstemmed Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis
title_short Yves Le Grand on matrices in optics with application to vision: Translation and critical analysis
title_sort yves le grand on matrices in optics with application to vision translation and critical analysis
topic Le Grand
Gaussian optics
linear optics
dioptric power matrix
ray transference
condition for clear retinal images
condition for undistorted images
astigmatism
url https://avehjournal.org/index.php/aveh/article/view/57
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