A method to construct refracting profiles

Details A method to construct refracting profiles A method to construct refracting profiles

2004-04-13

arxiv.org/abs/math-ph/0404032v1

Inverse Problems 20 (2004) 229-238

Physics

Mathematical Physics

12 pages, 5 figures

Scientific paper

10.1088/0266-5611/20/1/013

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.

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