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  • Frontiers in Optics 2007/Laser Science XXIII/Organic Materials and Devices for Displays and Energy Conversion
  • OSA Technical Digest (CD) (Optica Publishing Group, 2007),
  • paper FTuP2
  • https://doi.org/10.1364/FIO.2007.FTuP2

Pitfalls in Using Zernike Circle Polynomials Over Noncircular Pupils

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Abstract

We discuss the disadvantages of using Zernike circle polynomials for analyzing non-circular wavefronts, such as ocular wavefronts over elliptical pupils or annular wavefronts in astronomical telescopes. Numerical examples are considered to illustrate use of the orthonormal polynomials for noncircular pupils such as hexagonal, annular, elliptical, and square.

© 2007 Optical Society of America

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