5 April 2016 Optical design through optimization for rectangular apertures using freeform orthogonal polynomials: a case study
Author Affiliations +
Abstract
Several applications of freeform optics call for deeper analysis of systems with rectangular apertures. We study the behavior of a freeform mirror system by comparing four orthogonal polynomial surface representations through local optimization. We compare polynomials with different orthogonal areas (rectangular-circular) and different metrics (sag-gradient). Polynomials orthogonal inside a rectangle converge faster or to a better local minimum than those orthogonal inside a circle in the example considered. This is the most likely due to the loss of the good properties of orthogonality when the orthogonality area does not coincide with the surface area used.
© 2016 Society of Photo-Optical Instrumentation Engineers (SPIE)
Milena I. Nikolic, Milena I. Nikolic, Pablo Benítez, Pablo Benítez, Bharathwaj A. Narasimhan, Bharathwaj A. Narasimhan, Dejan Grabovickic, Dejan Grabovickic, Jayao Liu, Jayao Liu, Juan Carlos Miñano, Juan Carlos Miñano, } "Optical design through optimization for rectangular apertures using freeform orthogonal polynomials: a case study," Optical Engineering 55(7), 071204 (5 April 2016). https://doi.org/10.1117/1.OE.55.7.071204 . Submission:
JOURNAL ARTICLE
6 PAGES


SHARE
Back to Top