OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 9 — Apr. 27, 2009
  • pp: 7025–7035

Practical methods for retrace error correction in nonnull aspheric testing

Dong Liu, Yongying Yang, Chao Tian, Yongjie Luo, and Lin Wang  »View Author Affiliations

Optics Express, Vol. 17, Issue 9, pp. 7025-7035 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (582 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Nonnull test is often adopted for aspheric testing. But due to its violation of null condition, the testing rays will follow different paths from the reference and aberrations from the interferometer will not cancel out, leading to widely difference between the obtained surface figure and that of the real, which is called the Retrace-error accordingly. In this paper, retrace error of nonnull aspheric testing is analyzed in detail with conclusions that retrace error has much to do with the aperture, F number and surface shape error of the aspheric under test. Correcting methods are proposed according to the manner of the retrace errors. Both computer simulation and experimental results show that the proposed methods can correct the retrace error effectively. The analysis and proposed correction methods bring much to the application of nonnull aspheric testing.

© 2009 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.4640) Instrumentation, measurement, and metrology : Optical instruments
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: March 5, 2009
Revised Manuscript: April 1, 2009
Manuscript Accepted: April 2, 2009
Published: April 13, 2009

Dong Liu, Yongying Yang, Chao Tian, Yongjie Luo, and Lin Wang, "Practical methods for retrace error correction in nonnull aspheric testing," Opt. Express 17, 7025-7035 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. Malacara, Editor, Optical shop testing, 3rd Ed. (John Wiley and Sons, Inc., New Jersey 2007).
  2. A. Offner, "A Null Corrector for Paraboloidal Mirrors," Appl. Opt. 2, 153-156 (1963).
  3. F. Y. Pan, J. Burge, D. Anderson, and A. Poleshchuk, "Efficient Testing of Segmented Aspherical Mirrors by Use of a Reference Plate and Computer-Generated Holograms. II. Case Study, Error Analysis, and Experimental Validation," Appl. Opt. 43, 5313-5322 (2004). [PubMed]
  4. D. Liu, Y. Yang, L. Wang, and Y. Zhuo, "Real time diagnosis of transient pulse laser with high repetition by radial shearing interferometer," Appl. Opt. 46, 8305-8314 (2007). [PubMed]
  5. D. Liu, Y. Yang, J. Weng, X. Zhang, B. Chen, and X. Qin, "Measurement of transient near-infrared laser pulse wavefront with high precision by radial shearing interferometer, " Opt. Commun.  275, 173-178 (2007).
  6. O. Kown, J. C. Wyant, and C. R. Hayslett, "Rough surface interferometry at 10.6 microns," Appl. Opt. 19, 1862-1869 (1980).
  7. J. C. Wyant and K. Creath, "Two-wavelength phase-Shifting interferometer and method," U.S. Patent No.4,832,489 (1989).
  8. T. Kohno, D. Matsumoto, T. Yazawa, and Y. Uda, "Radial shearing interferometer for in-process measurement of diamond turning," Opt. Eng. 39, 2696-2699 (2000).
  9. D. Liu, Y. Yang, Y. Shen, J. Weng, and Y. Zhuo, "System optimization of radial shearing interferometer for aspheric testing," Proc. SPIE 6834, 68340U (2007).
  10. J. M. Geary, M. Yoo, and G. Si, "Retrace error: a case study, " Proc. SPIE. 1776, 98-105 (1992).
  11. N. Gardner and A. Davies, "Retrace error evaluation on a figure-measuring interferometer," Proc. SPIE 5869, 58690V.1-8 (2005).
  12. B. Thomas and B. Markus, "Interferometric asphere testing in a spherical test setup," Proc. SPIE 5965, 596514.1-8 (2005).
  13. P. E. Murphy, T. G. Brown, and D. T. Moore, "Interference Imaging for Aspheric Surface Testing," Appl. Opt. 39, 2122-2129 (2000).
  14. T.-C. Poon and T. Kim. "Geometrical Optics" in Engineering Optics with Matlab, Ting-Chung Poon ed., World Scientific Publishing Co.Pte.Ltd (2006).
  15. J. Weng, Y. Yang, D. Liu, Y. Shen, and Y. Zhuo, "The wavefront aberration analysis and testing accuracy evaluation for the large aberration aspheric system based on the best fit sphere, " Proc. SPIE 6834, 68342V (2007).
  16. Z. Malacara and D. Malacara, "Design of lenses to project the image of a pupil in optical testing interferometers," Appl. Opt. 34, 739-742 (1995) [PubMed]
  17. Y. Yang, D. Liu, Y. Shen, J. Weng, and Y. Zhuo, "Study on testing larger asphericity in non-null interferometer, " Proc. SPIE 6834, 68340T (2007).
  18. J. J. Sullivan and J. E. Greivenkamp, "Design of partial nulls for testing of fast aspheric surfaces, " Proc. SPIE 6671, 66710W (2007).
  19. J. E. Greivenkamp and R. O. Gappinger, "Design of a Nonnull Interferometer for Aspheric Wave Fronts," Appl. Opt. 43, 5143-5151 (2004). [PubMed]

Cited By

Alert me when this paper is cited

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