Optimization of LED-based non-imaging optics with orthogonal polynomial shapes

Peter Brick; Christopher Wiesmann

doi:10.1117/12.928924

11 October 2012 Optimization of LED-based non-imaging optics with orthogonal polynomial shapes

Peter Brick, Christopher Wiesmann

Proceedings Volume 8485, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration IX; 84850F (2012) https://doi.org/10.1117/12.928924
Event: SPIE Optical Engineering + Applications, 2012, San Diego, California, United States

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.

Citation Download Citation

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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