OSA's Digital Library

Chinese Optics Letters

Chinese Optics Letters

| PUBLISHED MONTHLY BY CHINESE LASER PRESS AND DISTRIBUTED BY OSA

  • Vol. 4, Iss. 4 — Apr. 1, 2006
  • pp: 211–214

Stitching algorithm for annular subaperture interferometry

Xi Hou, Fan Wu, Li Yang, Shibin Wu, and Qiang Chen  »View Author Affiliations


Chinese Optics Letters, Vol. 4, Issue 4, pp. 211-214 (2006)


View Full Text Article

Acrobat PDF (360 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

Annular subaperture interferometry (ASI) has been developed for low cost and flexible test of rotationally symmetric aspheric surfaces, in which accurately combining the subaperture measurement data corrupted by misalignments and noise into a complete surface figure is the key problem. By introducing the Zernike annular polynomials which are orthogonal over annulus, a method that eliminates the coupling problem in the earlier algorithm based on Zernike circle polynomials is proposed. Vector-matrix notation is used to simplify the description and calculations. The performance of this reduction method is evaluated by numerical simulation. The results prove this method with high precision and good anti-noise capability.

© 2005 Chinese Optics Letters

OCIS Codes
(000.3870) General : Mathematics
(070.4560) Fourier optics and signal processing : Data processing by optical means
(120.3940) Instrumentation, measurement, and metrology : Metrology
(220.4840) Optical design and fabrication : Testing

Citation
Xi Hou, Fan Wu, Li Yang, Shibin Wu, and Qiang Chen, "Stitching algorithm for annular subaperture interferometry," Chin. Opt. Lett. 4, 211-214 (2006)
http://www.opticsinfobase.org/col/abstract.cfm?URI=col-4-4-211


Sort:  Journal  |  Reset

References

  1. C.-J. Kim, Appl. Opt. 21, 4521 (1982).
  2. J. G. Thunen and O. Y. Kwon, Proc. SPIE 351, 19 (1982).
  3. J. E. Negro, Appl. Opt. 23, 1921 (1984).
  4. Y. M. Liu, G. N. Lawrence, and C. L. Koliopoulos, Appl. Opt. 27, 4504 (1988).
  5. M. Melozzi, L. Pezzati, and A. Mazzoni, Opt. Eng. 32, 1073 (1993).
  6. F. Granados-Agustin, J. F. Escobar-Romero, and A. Cornejo-Rodriguez, Opt. Rev. 11, 82 (2004).
  7. X. Hou, F. Wu, S. Wu, and Q. Chen, Proc. SPIE 5638, 992 (2005).
  8. S. C. Jensen, W. W. Chow, and G. N. Lawrence, Appl. Opt. 23, 740 (1984).
  9. C. R. De Hainaut and A. Erteza, Appl. Opt. 25, 503 (1986).
  10. G. N. Lawrence and R. D. Day, Appl. Opt. 26, 4875 (1987).
  11. M. Otsubo, K. Okada, and J. Tsujiuchi, Opt. Eng. 33, 608 (1994).
  12. T. Hansel, A. Nickel, and A. Schindler, Proc. SPIE 4449, 265 (2001).
  13. M. Bray, Proc. SPIE 3134, 39 (1997).
  14. P. Murphy, G. Forbes, J. Fleig, P. Dumas, and M. Tricard, Opt. Photon. News 14, (5) 38 (2003).
  15. P. E. Murphy, J. Fleig, G. Forbes, and M. Tricard, Proc. SPIE 5786, 112 (2005).
  16. V. N. Mahajan, J. Opt. Soc. Am. 71, 75 (1981).
  17. J. C. Wyant, Zernike Polynomial (Optical Science Center, University of Arizona, Tucson, 1999) http://www.optics.arizona.edu/jcwyant/Zernikes/ZernikePolynomials.htm.
  18. The Mathematica software is developed by the Wolfram Research, Inc., http://www.wolfram.com.
  19. X. Hou, F. Wu, S. B. Wu, and Q. Chen, Journal of Sichuan University (Natural Science Edition) (in Chinese) 42, 305 (2005).

Cited By

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited