From Event: SPIE Optical Engineering + Applications, 2017
The Zernike polynomials provide a generalized framework for analyzing the aberrations of non-rotationally symmetric optical systems with circular pupils. Even when systems are designed to be rotationally symmetric, fabrication and alignment errors will lead to non-rotationally symmetric aberrations. The properties of the Zernike polynomials are reviewed to illustrate their properties. Different indexing, normalization and ordering schemes are found in the literature and commercial software. He the schemes are compared to demonstrate some of the potential pitfalls of comparing Zernike polynomial results from different sources.
Jim Schwiegerling, "Review of Zernike polynomials and their use in describing the impact of misalignment in optical systems," Proc. SPIE 10377, Optical System Alignment, Tolerancing, and Verification XI, 103770D (Presented at SPIE Optical Engineering + Applications: August 06, 2017; Published: 22 August 2017); https://doi.org/10.1117/12.2275378.
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