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Applied Optics

Applied Optics


  • Vol. 28, Iss. 21 — Nov. 1, 1989
  • pp: 4649–4661

Absolute sphericity measurement

Karl-Edmund Elssner, R. Burow, J. Grzanna, and R. Spolaczyk  »View Author Affiliations

Applied Optics, Vol. 28, Issue 21, pp. 4649-4661 (1989)

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Several conventional methods for absolute sphericity testing of optical surfaces are known. One method has been used previously for real time interferometry, but a detailed investigation has not been carried out so far. In this work the known conventional methods are reviewed and assessed for suitability in real time interferometry. One method has been applied to phase stepping interferometry and examined. Adjustment peculiarities, experimental results of deviation measurements on normal surfaces, and application of normals are reported. Measuring errors, especially coherent noise, are analyzed and a special subsequent digital spatial filtering technique for diminution of noise is described.

© 1989 Optical Society of America

Original Manuscript: May 3, 1988
Published: November 1, 1989

Karl-Edmund Elssner, R. Burow, J. Grzanna, and R. Spolaczyk, "Absolute sphericity measurement," Appl. Opt. 28, 4649-4661 (1989)

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  1. G. Schulz, J. Schwider, “Interferometric Testing of Smooth Surfaces,” Prog. Opt. 13, 93–167 (1976). [CrossRef]
  2. Ref. 1, p. 136.
  3. A. E. Jensen, “Absolute Calibration Method for Laser Twyman-Green Wave-Front Testing Interferometers,” J. Opt. Soc. Am. 63, 1313A (1973);J. H. Bruning, “Fringe Scanning Interferometers,” in Optical Shop Testing, D. Malacara, Ed. (Wiley, New York, 1978), p. 409.
  4. J. S. Harris, “The Universal Fizeau Interferometer,” Ph.D. Thesis, U. Reading, U.K. (1971);H. H. Hopkins, “Applied Optics at Reading,” Opt. Laser Technol. 2, 158–163 (1971).
  5. G. Schulz, “Ein Interferenzverfahren zur absoluten Ebenheits-pruefung laengs beliebiger Zentralschnitte,” Opt. Acta 14, 375–388 (1967). [CrossRef]
  6. G. Schulz, “Interferentielle Absolutpruefung zweier Flaechen,” Opt. Acta 20, 699–706 (1973). [CrossRef]
  7. K. E. Elssner, J. Grzanna, G. Schulz, “Interferentielle Absolutpruefung von Sphaerizitaetsnormalen,” Opt. Acta 27, 563–580 (1980). [CrossRef]
  8. J. Schwider, R. Burow, K. E. Elssner, J. Grzanna, R. Spolaczyk, K. Merkel, “Digital Wave-Front Measuring Interferometry: Some Systemtic Error Sources,” Appl. Opt. 22, 3421–3432 (1983). [CrossRef] [PubMed]
  9. J. Schwider et al., “Echtzeitinterferometer fuer die Optikprue-fung,” Opt. Appl. Wroclaw 15, 395–412 (1985).
  10. J. Schwider, K. E. Elssner, J. Grzanna, R. Spolaczyk, “Results and Error Sources in Absolute Sphericity Measurement,” in Proceedings, IMEKO TC-14 Symposium, T. Kemeny, K. Havrilla, Eds. (Nova Science Publishing, Commack, NY, 1987), pp. 93–103.
  11. M. O. Freeman, B. E. A. Saleh, “Optical Location of Cen-troids of Nonoverlapping Objects,” Appl. Opt. 26, 2752–2759 (1987). [CrossRef] [PubMed]
  12. M. Vygodsky, Mathematical Handbook (Mir Publishers, Moscow, 1971), p. 692.
  13. K. H. Carnell, M. J. Kidger, “Some Experiments on Precision Lens Centering and Mounting,” Opt. Acta 21, 615–629 (1974). [CrossRef]
  14. J. C. Wyant, Ed., Precision Surface Metrology, Proc. Soc. Photo-Opt. Instrum. Eng.429 (1983), pp. 114, 187, 199;L. M. Cohen, Ed., Structural Mechanics of Optical Systems, Proc. Soc. Photo-Opt. Instrum. Eng.450 (1983), pp. 59, 81, 88, 131.
  15. E. C. Kintner, R. M. Sillitto, “A New Analytic Method for Computing the Optical Transfer Function,” Opt. Acta 23, 607–619 (1976). [CrossRef]
  16. K. H. Womack, “A Frequency Domain Description of Interferogram Analysis,” Proc. Soc. Photo-Opt. Instrum. Eng. 429, 166–173 (1983).
  17. H. C. Burger, P. H. van Cittert, “Wahre und scheinbare Intensitaetsverteilung in Spektrallinien,” Z. Phys. 79, 722–730 (1932). [CrossRef]
  18. F. M. Kuechel, T. Schmieder, H. J. Tiziani, “Beitrag zur Verwendung von Zernike-Polynomen bei der automatischen Interferenzstreifenauswertung,” Optik 65, 123–142 (1983).

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