Consequences of skewness conservation for rotationally symmetric nonimaging devices

Harald Ries; Narkis E. Shatz; John C. Bortz; Wolfgang Spirkl

doi:10.1117/12.290221

3 October 1997 Consequences of skewness conservation for rotationally symmetric nonimaging devices

Harald Ries, Narkis E. Shatz, John C. Bortz, Wolfgang Spirkl

Proceedings Volume 3139, Nonimaging Optics: Maximum Efficiency Light Transfer IV; (1997) https://doi.org/10.1117/12.290221
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

An upper limit on concentration for any optical device has previously been derived from the conservation of etendue. In this contribution we derive more stringent upper limits for the efficiency and the concentration of rotationally symmetric optical devices which are a consequence of skewness conservation. If the desired source and target have different skewness distributions, then losses or dilution or both will limit the performance of the optical system. For all skewness values, for which the source contains more radiation than the target, the difference is lost. Conversely, for all skewness values, for which the target contains a large etendue than the source, the difference remains empty and results in dilution. We calculate the limiting curve of optical transfer efficiency versus concentration relative to the maximum concentration possible and provide a design example that is practically at this limit. We also provide another design example that addresses the challenge posed at the last SPIE meeting, namely to transfer the maximum radiation from a Lambertian spherical source to a disk target of equal etendue under a reflector- to-source minimum distance constraint. We conjecture that even rotationally symmetric problems may benefit from asymmetric optical systems.

Citation Download Citation

Harald Ries, Narkis E. Shatz, John C. Bortz, and Wolfgang Spirkl "Consequences of skewness conservation for rotationally symmetric nonimaging devices", Proc. SPIE 3139, Nonimaging Optics: Maximum Efficiency Light Transfer IV, (3 October 1997); https://doi.org/10.1117/12.290221

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