OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 22, Iss. 14 — Jul. 15, 1983
  • pp: 2109–2114

Interferometry of wave fronts reflected off conical surfaces

K. von Bieren  »View Author Affiliations

Applied Optics, Vol. 22, Issue 14, pp. 2109-2114 (1983)

View Full Text Article

Enhanced HTML    Acrobat PDF (707 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Interferometry of wave fronts reflected off conical surfaces requires new interferometric schemes. The pencil beam interferometer is proposed as a metrology tool for conical as well as for spherical optical surfaces. The instrument employs two narrow pencil beams which scan the optical surface to be measured. An electronic fringe position readout system, which measures the location of the fringes that develop through interference of the pencil beams, provides high accuracy surface information. Metrology on a waxicon indicates a measurement precision of ±6 nm. Due to the differential nature of the instrument, alignment requirements are relatively modest.

© 1983 Optical Society of America

Original Manuscript: January 10, 1983
Published: July 15, 1983

K. von Bieren, "Interferometry of wave fronts reflected off conical surfaces," Appl. Opt. 22, 2109-2114 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. C. Dente, Appl. Opt. 18, 2911 (1979). [CrossRef] [PubMed]
  2. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  3. F. Twyman, A. Green, British Pat.103,832 (1916).
  4. W. J. Bates, Proc. Phys. Soc. London 59, 940 (1947). [CrossRef]
  5. H. Fizeau, Ann. Chim. Phys. 3, 66, 1862 (1947).
  6. G. D. Dew, “The Measurement of Optical Flats,” J. Sci. Instrum. 43, 409 (1966). [CrossRef] [PubMed]
  7. J. C. Wyant, J. Opt. Soc. Am. 64, 1363 (1974).
  8. J. C. Wyant, “Interferometric Optical Metrology,” Laser Focus (May1982), p. 65.
  9. A. Offner, Appl. Opt. 2, 153 (1963). [CrossRef]
  10. P. M. Emmel et al., J. Opt. Soc. Am. 68, 1416 (1978)
  11. J. C. Wyant, P. K. O’Neill, Appl. Opt. 13, 2762 (1974). [CrossRef] [PubMed]
  12. A. E. Ennos, “High Accuracy Profile Measurement of Quasi-Conical Mirror Surfaces by Laser Auto-Collimation,” Precis. Eng. 4, No. 1, 5 (Jan.1982). [CrossRef]
  13. K. von Bieren, Appl. Opt. 12, 1642 (1973). [CrossRef] [PubMed]
  14. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1964).
  15. X. Jenkins, X. White, Fundamentals of Optics (McGraw-Hill, New York, 1957).
  16. A. Gullstrand, “Tatsachen and Fiktionen in der Lehre von der optischen Abbildung,” Arch. Opt. 1, 1 (1907).
  17. H. Boegehold, Handbuch der Physik, Bol 18, 160Berlin (1927).
  18. J. C. Sturm, “Memoire sur L’optique,” Liouv. J. 3, 357 (1838).
  19. K. von Bieren, “Pencil Beam Interferometer for Aspherical Optical Surfaces,” Proc. Soc. Photo-Opt. Instrum. Eng. 343, 101 (1982).
  20. P. M. Woodward, Probability and Information Theory with Applications to Radar (Pergamon, New York, 1964).

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