Connecting Tolerancing of Freeform Surface Deformation in Illumination Optics with the Laplacian Magic Mirror
Year: 2021
Type: supplementary-materials
Abstract: This paper presents a methodology for illumination optics tolerancing. Specifically, we investigate tolerancing deformation of a freeform surface under a point source illumination. Through investigation, we learn about several surface-deformation characteristics that build tolerancing intuitions. First, we show that positive and negative irradiance changes occur together as a consequence of flux conservation. Then, we demonstrate a linear relationship between the steepness of the surface perturbation and the magnitude of the irradiance change. Lastly, we recognize that the Laplacian Magic Mirror concept (M. V. Berry, Eur J Phys 27, 2006) can be expanded to surface deformation tolerancing. Utilizing these surface deformation characteristics, we propose a fast and predictable tolerancing method that eliminates a significant portion of the ray-tracing time.
Source: Figshare
Language: English
Subfield: Biomedical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4226313345