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Lie-Hamilton geometric aberration optics: symmetries and symbolic computation. (English) Zbl 1291.78016

Summary: We review the Lie-Hamilton treatment of optical aberrations to highlight its algorithmic composition property for concatenation of optical elements. mexLIE is a set of symbolic computation functions developed by the authors which permits the fully parametric design of optical systems including free spaces, aligned radial graded-index media, and polynomial refracting surfaces between these, to seventh aberration order. We give simple examples to illustrate its use.

MSC:

78A10 Physical optics
78-04 Software, source code, etc. for problems pertaining to optics and electromagnetic theory

Software:

mexLIE
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