How the Hilbert integral theorem inspired flow lines

Roland Winston; Lun Jiang

doi:10.1117/12.2276709

7 September 2017 How the Hilbert integral theorem inspired flow lines

Roland Winston, Lun Jiang

Proceedings Volume 10379, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XIV; 1037903 (2017) https://doi.org/10.1117/12.2276709
Event: SPIE Optical Engineering + Applications, 2017, San Diego, California, United States

Abstract

Nonimaging Optics has been shown to achieve the theoretical limits constrained only by thermodynamic principles. The designing principles of nonimaging optics allow a non-conventional way of thinking about and generating new optical devices. Compared to conventional imaging optics which rarely utilizes the framework of thermodynamic arguments, nonimaging optics chooses to map etendue instead of rays. This fundamental shift of design paradigm frees the optics design from ray based designs which heavily relies on error tolerance analysis. Instead, the underlying thermodynamic principles guide the nonimaging design to be naturally constructed for extended light source for illumination, non-tracking concentrators and sensors that require sharp cut-off angles. We argue in this article that such optical devices which has enabled a multitude of applications depends on probabilities, geometric flux field and radiative heat transfer while “optics” in the conventional sense recedes into the background.

Conference Presentation

Citation Download Citation

Roland Winston and Lun Jiang "How the Hilbert integral theorem inspired flow lines", Proc. SPIE 10379, Nonimaging Optics: Efficient Design for Illumination and Solar Concentration XIV, 1037903 (7 September 2017); https://doi.org/10.1117/12.2276709

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