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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 29, Iss. 22 — Aug. 1, 1990
  • pp: 3255–3265

Ronchi test and a new phase reduction algorithm

Der-Shen Wan and Ding-Tin Lin  »View Author Affiliations


Applied Optics, Vol. 29, Issue 22, pp. 3255-3265 (1990)
http://dx.doi.org/10.1364/AO.29.003255


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Abstract

To fully interpret the Ronchigram, a good automatic phase reduction algorithm is necessary. A new phase reduction algorithm, originally designed for interferometry test of large optics, is presented for the Ronchi test. Due to the common path property, only two Ronchigrams shifted by π/2 are necessary for the reproducing phase. Accuracy can be better than one-thirtieth of the grating space. Methods are suggested for finding spherical aberration and astigmatism without integrating the phase using the Ronchi test. Tests of results using the new algorithm show good agreement with typical interferometry tests.

© 1990 Optical Society of America

History
Original Manuscript: August 15, 1989
Published: August 1, 1990

Citation
Der-Shen Wan and Ding-Tin Lin, "Ronchi test and a new phase reduction algorithm," Appl. Opt. 29, 3255-3265 (1990)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-29-22-3255


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References

  1. T. Yatagi, “Fringe Scanning Ronchi Test for Aspherical Surfaces,” Appl. Opt. 23, 3676–3679 (1984). [CrossRef]
  2. K. Omura, T. Yatagi, “Phase Measuring Ronchi Test,” Appl. Opt. 27, 523–528 (1988). [CrossRef] [PubMed]
  3. R. Angel, D. Wan, “A New Algorithm for Rapid Automatic Reduction of Test Interferograms,” Workshop on Optical Fabrication and Testing (Optical Society of America, Seattle, 1986).
  4. Der-Shen Wan, “Optics for Large Telescope,” Ph.D. Dissertation, University of Arizona (1987).
  5. R. Angel, private communication (1987).
  6. S. Toyooka, M. Tominaga, “Spatial Fringe Scanning for Optical Phase Measurement,” Optics Commun. 51, 68–70 (1984). [CrossRef]
  7. A. Cornejo-Rodriguez, in Optical Shop Testing, D. Malacara, Ed. (Wiley, New York, 1978), pp. 311–314.
  8. J. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, New York, 1978), p. 60.

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