An analytical approach to the design of efficient reflectors

G. Kloos

doi:10.1117/12.734052

18 September 2007 An analytical approach to the design of efficient reflectors

G. Kloos

Proceedings Volume 6670, Nonimaging Optics and Efficient Illumination Systems IV; 667009 (2007) https://doi.org/10.1117/12.734052
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

Abstract

The optimization of mirrors with respect to efficiency is a common task of illumination engineering. To solve this optimization task various numerical methods and methods that make use of partial or ordinary differential equations are described in the technical literature. Applying these methods one is often faced with the problem of finding a good starting configuration that can then be refined. A method has been developed that allows to determine a good starting configuration in a systematic way. The analytical approach can be used as a guideline through "parameter space" and gives inside into the parameter dependencies. It has first been applied to special geometries. In this contribution, it will be shown how the method can be generalized and applied to mirrors that feature different geometries. To this end, the analytical description will be put on a slightly broader basis. Special emphasis will be laid on showing how to describe optical reflectors with a relatively low symmetry, because they are frequently encountered in engineering practice. The analytical method leads to an integral expression that features the parameter dependencies. In a way, this approach might be considered analogous to describing an imaging optical system in the paraxial approximation to understand its key feature before starting aspherization of the optical surfaces.

Citation Download Citation

G. Kloos "An analytical approach to the design of efficient reflectors", Proc. SPIE 6670, Nonimaging Optics and Efficient Illumination Systems IV, 667009 (18 September 2007); https://doi.org/10.1117/12.734052

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