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Título del libro:
Título del capítulo: Some aspects for analytically designing flat aspheric converging Fresnel-type imaging mirror

Autores UNAM:
MARTIN JIMENEZ RODRIGUEZ; MAXIMINO AVENDAÑO ALEJO; OSVALDO PONCE HERNANDEZ; ISMAEL VELAZQUEZ GOMEZ;
Autores externos:

Idioma:

Año de publicación:
2025
Palabras clave:

Aberrations; Adaptive optics; Aspherics; Light sources; Mirrors; Optical depth; Aspherical; Caustic surface; Flat optics; Fresnel; Fresnel surface; Imaging optics; Optical axis; Optical fabrication; Optical-; Optical design; Optical testing


Resumen:

We present a prototype of a flat aspheric Fresnel-type imaging mirror, whose parent curve is defined by an aspherical curve rotationally symmetric about the optical axis. We consider a point light source placed at a predefined distance along the optical axis to produce a sharp image after reflection considering a reduced caustic produced by reflection. Recently, we have provided the parametric equations to define either real or virtual caustic surfaces produced by reflection. Furthermore, the cuspid of the caustics formed around the central groove near the optical axis coincides with the position of paraxial images provided by mirror-image equations. Since the shape of the caustic surfaces can be modified by changing the parameters of the parent surface and the point source location. We compute a paraxial approximation of the caustics equations to analytically obtain the aspheric coefficients that reduce spherical aberration. Finally, a flat aspheric Fresnel-type imaging mirror prototype is fabricated by using a commercial 3D printer and subsequently polishing the Fresnel-type surface for a better reflectance. © COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.


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