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.
Cakmakci
Ozan
O
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
Moore
Brendan
B
Foroosh
Hassan
H
Rolland
Jannick P
JP
D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design / Q000379:methods*; D019544:Equipment Failure Analysis / Q000379:methods*; D007909:Lenses; D008962:Models, Theoretical