10 December 2001 Tailoring freeform lenses for illumination
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Abstract
The general problem to find the shape of a refractive surface such as to produce a desired brightness distribution on a given target surface from a known point source leads to a boundary value problem with an elliptic partial differential equation of the Monge-Ampere type. This equation has been described and analyzed in the literature. The purpose of our contribution is to present a venue for a numerical solution as well as several solved examples. The essence of our algorithm for a numerical solution appears to be the explicit incorporation of the condition for the existence of a pseudopotential for a normal vector field.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Harald Ries, Harald Ries, Julius A. Muschaweck, Julius A. Muschaweck, "Tailoring freeform lenses for illumination", Proc. SPIE 4442, Novel Optical Systems Design and Optimization IV, (10 December 2001); doi: 10.1117/12.449957; https://doi.org/10.1117/12.449957
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