Image formation through a 3D printed conic lens considering a linear array of point sources

Osvaldo Ponce-Hernández; Maximino Avendaño-Alejo; Martín Jiménez-Rodríguez; Ismael Velázquez-Gómez; Jesús DelOlmo-Márquez

doi:10.1117/12.3017285

18 June 2024 Image formation through a 3D printed conic lens considering a linear array of point sources

Osvaldo Ponce-Hernández, Maximino Avendaño-Alejo, Martín Jiménez-Rodríguez, Ismael Velázquez-Gómez, Jesús DelOlmo-Márquez

Author Affiliations +

Proceedings Volume 12995, 3D Printed Optics and Additive Photonic Manufacturing IV; 129950B (2024) https://doi.org/10.1117/12.3017285
Event: SPIE Photonics Europe, 2024, Strasbourg, France

Abstract

We study the formation of caustic surfaces produced by convex conic lenses, considering a linear set of point sources displayed on a plane, this linear array is placed at arbitrary position along the optical axis. The caustic surface can be defined as the envelope for either reflected or refracted rays propagating through an optical system. Implementing an exact ray trace, we have obtained an analytic equation that describes a parametric family of refracted rays propagating through a convex conic lens and by computing its envelope, we provide an exact equation for the caustic surface as a function of all the parameters involved in the process of refraction. Considering the geometric center of a conic surface, we have located the parabasal image for each point source produced by refraction, and by extending this concept for a set of point sources placed along a linear array, we obtain the image surface which is the locus where the succession of paraxial images are located. Finally, using a commercial 3D printer, we have fabricated a convex conic lens along with its image curved surface to implement a preliminary test to study the image formation for extended objects, with potential applications in uniform illumination systems.

Conference Presentation

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Osvaldo Ponce-Hernández, Maximino Avendaño-Alejo, Martín Jiménez-Rodríguez, Ismael Velázquez-Gómez, and Jesús DelOlmo-Márquez "Image formation through a 3D printed conic lens considering a linear array of point sources", Proc. SPIE 12995, 3D Printed Optics and Additive Photonic Manufacturing IV, 129950B (18 June 2024); https://doi.org/10.1117/12.3017285

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