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The regulation of the spatial energy distribution of a light source with high efficiency is a classical and challenging issue in the field of nonimaging optics. In this work we derive the partial differential equation that the metasurface phase function must satisfy to produce a desired illumination pattern by refraction, it is a Monge-Ampére equation, and with the specific boundary conditions, the problem can be solved with a numerical tool.
C. P. Castañeda-Almanza andIvan Moreno
"Metalens for uniform rectangular illumination", Proc. SPIE 12220, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XVIII, 122200G (3 October 2022); https://doi.org/10.1117/12.2633191
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C. P. Castañeda-Almanza, Ivan Moreno, "Metalens for uniform rectangular illumination," Proc. SPIE 12220, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XVIII, 122200G (3 October 2022); https://doi.org/10.1117/12.2633191