Abstract
In a previously published paper, the present author asserted that Yves Le Grand came veryclose to describing the dioptric power matrix in 1945 and that, in particular, he presentedexpressions for the entries of the matrix. The purpose of this note is to weaken that assertionand to argue that, while he certainly did describe some features of the matrix, his expression forthe off-diagonal entries of the matrix for thin systems was incorrect (a missing factor appearsnot to have been a typographical error) and that, although he gave basic formulae of Gaussianoptics involving dioptric power, he gave no hint of natural and powerful generalisations forlinear optics involving the dioptric power matrix.
Highlights
In an analysis[1] of an appendix[2] to Le Grand’s 1945 book,[3] I argued that, he did not describe the dioptric power matrix as such, he certainly came very close to doing so
Typographical errors in the 1945 edition were corrected in the 1964 edition, the missing
A more important error, was not corrected. Neither was it corrected in the Spanish translation[5] that was published in 1991 nor in an unpublished list of errata that appeared later
Summary
In an analysis[1] of an appendix[2] to Le Grand’s 1945 book,[3] I argued that, he did not describe the dioptric power matrix as such, he certainly came very close to doing so. He talks of three (separate) powers in the case of a thin system; two are equivalent to f11 and f22 ; the third (Le Grand’s A ) is not f21 (or, equivalently, f12 ) but double it (see Footnote 53 of Reference 1).
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