Special Section on Freeform Optics

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

[+] Author Affiliations
Milena Nikolic, Pablo Benítez, Bharathwaj Narasimhan, Dejan Grabovickic, Jayao Liu, Juan C. Miñano

Universidad Politécnica de Madrid, CeDInt, Campus de Montegancedo, Pozuelo de Alarcon, Madrid 28223, Spain

Opt. Eng. 55(7), 071204 (Apr 05, 2016). doi:10.1117/1.OE.55.7.071204
History: Received December 13, 2015; Accepted March 9, 2016
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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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© 2016 Society of Photo-Optical Instrumentation Engineers

Citation

Milena Nikolic ; Pablo Benítez ; Bharathwaj Narasimhan ; Dejan Grabovickic ; Jayao Liu, et al.
"Optical design through optimization for rectangular apertures using freeform orthogonal polynomials: a case study", Opt. Eng. 55(7), 071204 (Apr 05, 2016). ; http://dx.doi.org/10.1117/1.OE.55.7.071204


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