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arXiv · 1301.1846

Degree and class of caustics by reflection for a generic source

Alfrederic Josse·Francoise Pene
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Abstract

We are interested in the study of caustics by reflection of irreducible algebraic planar curves (in the complex projective plane). We prove the birationality of the caustic map (for a generic light position). We also give simple formulas for the degree and the class of caustics by reflection valid for any irreducible algebraic curve of degree at least 2 and for a generic light position.

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Alfrederic Josse, Francoise Pene. 2013-01-09. Degree and class of caustics by reflection for a generic source. https://arxiv.org/abs/1301.1846

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