Optical design through optimization for rectangular apertures using freeform orthogonal polynomials: a case study

Milena I. Nikolic; Pablo Benítez; Bharathwaj A. Narasimhan; Dejan Grabovickic; Jayao Liu; Juan Carlos Miñano

doi:10.1117/1.OE.55.7.071204

5 April 2016 Optical design through optimization for rectangular apertures using freeform orthogonal polynomials: a case study

Milena I. Nikolic, Pablo Benítez, Bharathwaj A. Narasimhan, Dejan Grabovickic, Jayao Liu, Juan Carlos Miñano

Author Affiliations +

Optical Engineering, Vol. 55, Issue 7, 071204 (April 2016). https://doi.org/10.1117/1.OE.55.7.071204

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.

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Milena I. Nikolic, Pablo Benítez, Bharathwaj A. Narasimhan, Dejan Grabovickic, Jayao Liu, and 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

Published: 5 April 2016

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