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Proceedings Paper

Computer-aided design and optimization of free-form reflectors
Author(s): Bo Yang; Yongtian Wang
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Paper Abstract

The design theory and method for illumination systems with free-form reflectors are studied. Uniform bicubic B-spline surfaces are used to describe the shape of the reflector, and the control point coordinates are calculated by equation solving after the shape points of the reflector are obtained. An iterative method is developed to calculate the coordinates of the intersection point of an incident ray with a B-spline surface in 3D space. Formulae are given to calculate the direction cosines of the surface normal at the intersection point. For segmented reflectors, a method is presented to rapidly determine the segment with which the incident ray strikes, which can greatly improve the efficiency of ray-tracing for segmented reflectors. The damped-least-squares method is used to optimize the B-spline surface reflector. The Z-coordinates of the control points are adjusted through the optimization, so that the light distribution generated by the reflector with a real (extended) source meets the design requirements.

Paper Details

Date Published: 10 February 2005
PDF: 9 pages
Proc. SPIE 5638, Optical Design and Testing II, (10 February 2005); doi: 10.1117/12.583684
Show Author Affiliations
Bo Yang, Beijing Institute of Technology (China)
Yongtian Wang, Beijing Institute of Technology (China)

Published in SPIE Proceedings Vol. 5638:
Optical Design and Testing II
Yongtian Wang; Zhicheng Weng; Shenghua Ye; Jose M. Sasian, Editor(s)

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