Paper
11 October 2012 Optimization of LED-based non-imaging optics with orthogonal polynomial shapes
Author Affiliations +
Abstract
Starting with a seminal paper by Forbes [1], orthogonal polynomials have received considerable interest as descriptors of lens shapes for imaging optics. However, there is little information on the application of orthogonal polynomials in the field of non-imaging optics. Here, we consider fundamental cases related to LED primary and secondary optics. To make it most realistic, we avoid many of the simplifications of non-imaging theory and consider the full complexity of LED optics. In this framework, the benefits of orthogonal polynomial surface description for LED optics are evaluated in comparison to a surface description by widely used monomials.
© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Peter Brick and Christopher Wiesmann "Optimization of LED-based non-imaging optics with orthogonal polynomial shapes", Proc. SPIE 8485, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration IX, 84850F (11 October 2012); https://doi.org/10.1117/12.928924
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KEYWORDS
Light emitting diodes

Nonimaging optics

Semiconductors

Optimization (mathematics)

Testing and analysis

Geometrical optics

Numerical analysis

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