Share Email Print
cover

Proceedings Paper

Tolerancing sub-aperture regions of optical surfaces using circular and elliptical Zernike polynomials
Format Member Price Non-Member Price
PDF $14.40 $18.00

Paper Abstract

Zernike polynomials are orthogonal within a normalized circle. However, when optical surfaces are away from the stop, the beam size becomes smaller than the surfaces, and the full-aperture Zernike polynomials are not orthogonal inside the illuminated region. In this paper, we investigate a method of using Zernike polynomials to fit sub-aperture regions illuminated by the optical beam in order to retain orthogonality. The method works for both on-axis and off-axis conditions. In some special cases where the optical beam is not circular, we develop a user defined surface that utilizes elliptical Zernike polynomials for the fitting. Finally, we provide an example and discuss the importance of the sub-aperture fitting to tolerance assignment and analysis of the surface.

Paper Details

Date Published: 19 September 2014
PDF: 12 pages
Proc. SPIE 9195, Optical System Alignment, Tolerancing, and Verification VIII, 919506 (19 September 2014); doi: 10.1117/12.2064787
Show Author Affiliations
Chih-Yu Huang, College of Optical Sciences, The Univ. of Arizona (United States)
Richard Youngworth, College of Optical Sciences, The Univ. of Arizona (United States)
Riyo LLC (United States)
Rongguang Liang, College of Optical Sciences, The Univ. of Arizona (United States)


Published in SPIE Proceedings Vol. 9195:
Optical System Alignment, Tolerancing, and Verification VIII
José Sasián; Richard N. Youngworth, Editor(s)

© SPIE. Terms of Use
Back to Top