Optimal local shape description for rotationally non-symmetric optical surface design and analysis.
A local optical surface representation as a sum of basis functions is proposed and implemented. Specifically, we investigate the use of linear combination of Gaussians. The proposed approach is a local descriptor of shape and we show how such surfaces are optimized to represent rotationally non-symmetric surfaces as well as rotationally symmetric surfaces. As an optical design example, a single surface off-axis mirror with multiple fields is optimized, analyzed, and compared to existing shape descriptors. For the specific case of the single surface off-axis magnifier with a 3 mm pupil, >15 mm eye relief, 24 degree diagonal full field of view, we found the linear combination of Gaussians surface to yield an 18.5% gain in the average MTF across 17 field points compared to a Zernike polynomial up to and including 10th order. The sum of local basis representation is not limited to circular apertures.
College of Optics, Center for Research and Education in Optics and Lasers (CREOL), University of Central Florida, Orlando, FL 32816, USA. ozan.cakmakci@gmail.com
Ozan
O
Cakmakci
Brendan
B
Moore
Hassan
H
Foroosh
Jannick P
JP
Rolland
D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design / Q000379:methods*; D019544:Equipment Failure Analysis / Q000379:methods*; D007909:Lenses; D008962:Models, Theoretical