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J Opt Soc Am A Opt Image Sci Vis. 2010 Sep 1;27(9):1985-93. doi: 10.1364/JOSAA.27.001985.

Output irradiance of tapered lightpipes.

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  • 1Unidad Academica de Fisica, Universidad Autonoma de Zacatecas, 98060 Zacatecas, Mexico.


A light cone efficiently transports, distributes, and concentrates the incoming radiation. I derive a formula for the spatial irradiance (or illuminance) distribution at the exit aperture of a tapered light pipe. The theory is demonstrated by Monte Carlo ray-tracing for lightpipes with light-emitting diodes at the input face. The analysis is based on the addition of the radiation patterns of the multiple virtual sources that, as in a three-dimensional kaleidoscope, are seen through a tapered light tube. Given its explicit dependence on the structural and optical parameters, this analysis may be a useful tool in the development and application of light cones.

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