Decartes' Perfect Lens

Details Decartes' Perfect Lens Decartes' Perfect Lens

2007-04-09

arxiv.org/abs/0704.1059v4

Mathematics

General Mathematics

12 pages; proof of the exceptional cases to Drucker's theorem elaborated; one new importante reference is added; typos correct

Scientific paper

We give a new, elementary, purely analytical development of
\textsc{Descartes}' theorem that a smooth connected surface is a perfect
focusing lens if and only if it is a connected subset of the ovoid obtained by
revolving a cartesian oval around its axis of symmetry.

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