Limits of realizing irradiance distributions with shift-invariant illumination systems and finite étendue sources.

Autor: Heemels ANM, Adam AJL, Urbach HP
Jazyk: angličtina
Zdroj: Journal of the Optical Society of America. A, Optics, image science, and vision [J Opt Soc Am A Opt Image Sci Vis] 2023 Jul 01; Vol. 40 (7), pp. 1289-1302.
DOI: 10.1364/JOSAA.488849
Abstrakt: When redistributing the light emitted by a source into a prescribed irradiance distribution, it is not guaranteed that, given the source and optical constraints, the desired irradiance distribution can be achieved. We analyze the problem by assuming an optical black box that is shift-invariant, meaning that a change in source position does not change the shape of the irradiance distribution, only its position. The irradiance distribution we can obtain is then governed by deconvolution. Using positive-definite functions and Bochner's theorem, we provide conditions such that the irradiance distribution can be realized for finite étendue sources. We also analyze the problem using optimization, showing that the result heavily depends on the chosen source distribution.
Databáze: MEDLINE