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Proceedings Paper

Tailoring freeform lenses for illumination
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Paper 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.

Paper Details

Date Published: 10 December 2001
PDF: 8 pages
Proc. SPIE 4442, Novel Optical Systems Design and Optimization IV, (10 December 2001); doi: 10.1117/12.449957
Show Author Affiliations
Harald Ries, Optics & Energy Concepts and Philipps-Univ. Marburg (Germany)
Julius A. Muschaweck, Optics & Energy Concepts (Germany)

Published in SPIE Proceedings Vol. 4442:
Novel Optical Systems Design and Optimization IV
Jose M. Sasian; Paul K. Manhart, Editor(s)

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