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Proceedings Paper

Iterative generalized functional method of nonimaging optical design
Author(s): John Bortz; Narkis Shatz
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Paper Abstract

In a previous paper we derived a generalized functional method of nonimaging optical design, applicable in the case of axisymmetric or translationally symmetric geometries utilizing extended sources and multiple reflective and/or refractive optical surfaces. Variations of this method were described for generation of either a prescribed intensity distribution as a function of angle or a prescribed irradiance distribution as a function of position along the shape profile of an aspheric target surface. A dual-surface functional (DSF) method was described for generation of two successive optical surfaces that transform a given source distribution into either two prescribed irradiance distributions on successive target surfaces or a prescribed irradiance distribution and a prescribed intensity distribution. The RMS difference between the intensity or irradiance distribution produced by a given generalized-functional design and the corresponding prescribed distribution approaches zero in the limit as the optical characteristics of the actual source approach those of the zero-étendue extended source model used in generating the design. In the current contribution, we present an iterative algorithm that can significantly improve the beam-shaping performance of generalized functional designs for sources having non-zero étendue. Three examples are provided, including an iterative DSF design that provides both high irradiance uniformity and étendue-matched flux-transfer efficiency greater than 97%.

Paper Details

Date Published: 18 September 2007
PDF: 15 pages
Proc. SPIE 6670, Nonimaging Optics and Efficient Illumination Systems IV, 66700A (18 September 2007); doi: 10.1117/12.731897
Show Author Affiliations
John Bortz, Science Applications International Corp. (United States)
Narkis Shatz, Science Applications International Corp. (United States)


Published in SPIE Proceedings Vol. 6670:
Nonimaging Optics and Efficient Illumination Systems IV
Roland Winston; R. John Koshel, Editor(s)

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