A method to construct refracting profiles
Mathematical Physics
2009-11-10 v1 General Mathematics
math.MP
Abstract
We propose an original method for determining suitable refracting profiles between two media to solve two related problems: to produce a given wave front from a single point source after refraction at the refracting profile, and to focus a given wave front in a fixed point. These profiles are obtained as envelopes of specific families of Cartesian ovals. We study the singularities of these profiles and give a method to construct them from the data of the associated caustic.
Cite
@article{arxiv.math-ph/0404032,
title = {A method to construct refracting profiles},
author = {N. Alamo and C. Criado},
journal= {arXiv preprint arXiv:math-ph/0404032},
year = {2009}
}
Comments
12 pages, 5 figures