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The design of a one-dimensional lens is presented in this article. The method used for this design is based on geometric optics, where refracting surfaces are used to redirect rays of light. It is known that the illumination profile of many LEDs can approximately be modeled by Lambertian distribution, mainly depending on the angle of the emitted ray with the normal to the surface. We want to construct a lens which is to be placed at a reasonable distance away from an LED source, in such a way that the radiance profile of this source is refracted at both surfaces of the lens so that the illumination profile on the target surface is as uniform as possible. This task requires the optimization of a certain error function. The main constraint of the problem is to preserve the prescribed input and output intensities so that the requirement of total energy preservation is fulfilled.
Hasan Palta
"Design of a free-form lens for an LED illumination system using optimization of one-dimensional refracting surfaces", Proc. SPIE 12523, Computational Imaging VII
, 1252304 (13 June 2023); https://doi.org/10.1117/12.2663724
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Hasan Palta, "Design of a free-form lens for an LED illumination system using optimization of one-dimensional refracting surfaces," Proc. SPIE 12523, Computational Imaging VII
, 1252304 (13 June 2023); https://doi.org/10.1117/12.2663724