Computer-aided design and optimization of free-form reflectors

Bo Yang; Yongtian Wang

doi:10.1117/12.583684

10 February 2005 Computer-aided design and optimization of free-form reflectors

Bo Yang, Yongtian Wang

Proceedings Volume 5638, Optical Design and Testing II; (2005) https://doi.org/10.1117/12.583684
Event: Photonics Asia, 2004, Beijing, China

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.

Citation Download Citation

Bo Yang and Yongtian Wang "Computer-aided design and optimization of free-form reflectors", Proc. SPIE 5638, Optical Design and Testing II, (10 February 2005); https://doi.org/10.1117/12.583684

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