From Event: SPIE Optical Engineering + Applications, 2016
Several factors impact the light irradiance and relative illumination produced by a lens system at its image plane. In addition to the cosine-fourth-power radiometric law, image and pupil aberrations, and light vignetting also count. In this paper, we use an irradiance transport equation to derive a closed form solution that provides insight into how individual aberration terms affect the light irradiance and relative illumination. The theoretical results are in agreement with real ray tracing.
Dmitry Reshidko and Jose Sasian, "The role of aberrations in the relative illumination of a lens system," Proc. SPIE 9948, Novel Optical Systems Design and Optimization XIX, 994806 (Presented at SPIE Optical Engineering + Applications: August 29, 2016; Published: 30 September 2016); https://doi.org/10.1117/12.2237204.
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