Non-uniformly sampled grids in double pole coordinate system for freeform reflector construction

Donglin Ma; Shaun Pacheco; Zexin Feng; Rongguang Liang

doi:10.1117/12.2190761

28 August 2015 Non-uniformly sampled grids in double pole coordinate system for freeform reflector construction

Donglin Ma, Shaun Pacheco, Zexin Feng, Rongguang Liang

Proceedings Volume 9572, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XII; 95720N (2015) https://doi.org/10.1117/12.2190761
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

Abstract

We propose a new method to design freeform reflectors by nonuniformly sampling the source intensity distribution in double pole coordinate system. In double pole coordinate system, there is no pole for the whole hemisphere because both poles of the spherical coordinate system are moved to southernmost point of the sphere and overlapped together. With symmetric definition of both angular coordinates in the modified double pole coordinate system, a better match between the source intensity distribution and target irradiance distribution can be achieved for reflectors with large acceptance solid angle, leading to higher light efficiency and better uniformity on the target surface. With non-uniform sampling of the source intensity, we can design circular freeform reflector to obtain uniform rectangular illumination pattern. Aided by the feedback optimization, the freeform reflector can achieve the collection efficiency for ideal point source over 0.7 and relative standard deviation (RSD) less than 0.1.

Citation Download Citation

Donglin Ma, Shaun Pacheco, Zexin Feng, and Rongguang Liang "Non-uniformly sampled grids in double pole coordinate system for freeform reflector construction", Proc. SPIE 9572, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XII, 95720N (28 August 2015); https://doi.org/10.1117/12.2190761

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