A method to construct refracting profiles
N. Alamo, C. Criado
TL;DR
This paper introduces a novel method for designing refracting profiles between media to control wave fronts, using envelopes of Cartesian ovals and analyzing their singularities for precise wave manipulation.
Contribution
It presents a new approach to construct refracting profiles from caustic data, enabling targeted wave front shaping and focusing.
Findings
Profiles are constructed as envelopes of Cartesian ovals.
The method effectively produces desired wave fronts from a point source.
Profiles' singularities are characterized and utilized for design.
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.
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