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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 17 — Jun. 10, 2012
  • pp: 3817–3825

Self-calibrated subaperture stitching test of hyper-hemispheres using latitude and longitude coordinates

Shanyong Chen, Wenlin Liao, Yifan Dai, and Shengyi Li  »View Author Affiliations


Applied Optics, Vol. 51, Issue 17, pp. 3817-3825 (2012)
http://dx.doi.org/10.1364/AO.51.003817


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Abstract

Limited by the f-number of the transmission sphere, it is impossible to test the whole surface of a hyper-hemisphere using a standard interferometer directly. This paper presents an extension of the subaperture stitching test method to hyper hemispheres. The stitching algorithm is based on the coordinate mapping from local measurement frame to a global frame, and overlapping correspondence is calculated by virtue of coordinates of latitude and longitude. The reference surface error is represented by Zernike polynomials and self-calibrated during the stitching to achieve higher accuracy. Then the stitched surface error distribution is presented by map projection. To realize accessibility to the whole surface of a hyper-hemisphere, we also propose a design for the subaperture test platform, according to the subaperture lattice design. Finally, a hemisphere and a full sphere are tested and figured, respectively, to validate the method and the experimental setup.

© 2012 Optical Society of America

OCIS Codes
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(220.4840) Optical design and fabrication : Testing

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: February 14, 2012
Revised Manuscript: April 13, 2012
Manuscript Accepted: April 14, 2012
Published: June 7, 2012

Citation
Shanyong Chen, Wenlin Liao, Yifan Dai, and Shengyi Li, "Self-calibrated subaperture stitching test of hyper-hemispheres using latitude and longitude coordinates," Appl. Opt. 51, 3817-3825 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-17-3817


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