20 October 1998 Nonrotationally symmetric reflectors for efficient and uniform illumination of rectangular apertures
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A requirement for a uniformly illuminated rectangular aperture is common in optical design, particularly for projection applications. The naive approach to producing uniform illumination over a rectangular aperture is to uniformly fill a circular zone which circumscribes the desired rectangular region. Unfortunately, this technique is wasteful of flux, e.g. a rectangular aperture having as aspect ratio of 1.5:1 collects only 59% of the flux incident on the circumscribing circle. Other approaches such as rectangular light pipes and mosaic lens arrays dilute source etendue, increase the length of the optical train, and can suffer from losses due to multiple reflections. We have previously discovered that the performance limit due to skewness conservation for collecting light from a 3D source and projecting it into a beam can be overcome by a numerically optimized reflector with a nonrotationally symmetric star-like cross-section. In this paper we present preliminary results of our research into designing high- efficiency, single-element nonrotationally symmetric reflectors which provide uniform flux delivery into rectangular apertures.
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Narkis E. Shatz, Narkis E. Shatz, John C. Bortz, John C. Bortz, Roland Winston, Roland Winston, } "Nonrotationally symmetric reflectors for efficient and uniform illumination of rectangular apertures", Proc. SPIE 3428, Illumination and Source Engineering, (20 October 1998); doi: 10.1117/12.327960; https://doi.org/10.1117/12.327960

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