Abstract
Euclidean optics are models of the manifold of rays and wavefronts in terms of coset spaces of the Euclidean group. One realization of this construction is the geometric model of Hamilton's optical phase space. Helmholtz optics is a second Euclidean model examined here. A wavization procedure is given to map the former one on the latter. Noneuclidean transformations of the manifold of rays are provided by Lorentz boosts that produce a global “4a” comatic aberration.
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Wolf, K.B. (1989). Elements of euclidean optics. In: Wolf, K.B. (eds) Lie Methods in Optics II. Lecture Notes in Physics, vol 352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012747
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DOI: https://doi.org/10.1007/BFb0012747
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