OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 2082–2088

Statistical analysis of a scatter plate interferometer

Jiabi Chen  »View Author Affiliations


JOSA A, Vol. 24, Issue 7, pp. 2082-2088 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002082


View Full Text Article

Enhanced HTML    Acrobat PDF (167 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A scatter plate interferometer is analyzed based on the principle of statistical optics for what is to my knowledge the first time. It is shown that the optical complex amplitude distribution of scattered-direct light that is scattered by the first scatter plate and transmitted through the second scatter plate is equivalent to the distribution of direct-scattered light that is transmitted through the first scatter plate and scattered by the second scatter plate if there are no aberrations in the tested optical elements. Then the mechanism producing interference fringes and fringe contrast are discussed by means of a statistical method. It is shown that the fringe pattern depends on the correlation of the transmittance distributions of the two scatter plates and the aberration of the tested lens. The analysis coincides with experimental phenomena. The method used gives a new viewpoint on the principles of scatter plate interferometry and reveals its statistical nature.

© 2007 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(110.2990) Imaging systems : Image formation theory
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.4840) Optical design and fabrication : Testing

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: November 29, 2006
Revised Manuscript: January 28, 2007
Manuscript Accepted: January 30, 2007
Published: June 13, 2007

Citation
Jiabi Chen, "Statistical analysis of a scatter plate interferometer," J. Opt. Soc. Am. A 24, 2082-2088 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-7-2082


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. Mallick, "Common path interferometry," in Optical Shop Testing, D.Malacara, ed. (Wiley, 1978), pp. 79-109.
  2. J. M. Burch, "Scatter fringes of equal thickness," Nature 171, 889-890 (1953). [CrossRef]
  3. J. M. Burch, "Scatter-fringe interferometry," J. Opt. Soc. Am. 52, 600-605 (1962).
  4. J. M. Burch, "Interferometry with scattered light," in Optical Instruments and Techniques, J.H.Dickson, ed. (Oriel, 1969), pp. 213-243.
  5. R. M. Scott, "Scatter plate interferometry," Appl. Opt. 8, 531-537 (1969).
  6. L. Rubin, "Scatterplate interferometry," Opt. Eng. 19, 815-824 (1980).
  7. D. C. Su, T. Honda, and J. Tsujiuchi, "Aperture of scatter plate and its effect on fringe contrast in a scatter plate interferometer," Opt. Commun. 50, 137-140 (1984). [CrossRef]
  8. D. C. Su, N. Ohyama, T. Honda, and J. Tsujiuchi, "A null test of aspherical surfaces in scatter plate interferometer," Opt. Commun. 58, 139-143 (1986). [CrossRef]
  9. J. Rasanen, K. M. Abedin, and M. Kawazoe, "Computer simulation of the scatter plate interferometer by scalar diffraction theory," Appl. Opt. 36, 5335-5339 (1997). [CrossRef] [PubMed]
  10. J. W. Goodman, Statistical Optics (Wiley, 1985), pp. 347-356.
  11. D. W. Li, J. B. Chen, and F. P. Chiang, "Statistical analysis of one-beam subjective laser-speckle interferometry," J. Opt. Soc. Am. A 2, 657-666 (1985). [CrossRef]
  12. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts and Company, 2005), pp. 97-102.
  13. J. W. Goodman, "Statistical properties of laser speckle patterns," in Laser Speckle and Relative Phenomena, J.C.Dainty, ed. (Springer-Verlag, 1975), pp. 9-75. [CrossRef]
  14. J. B. Chen and F. P. Chiang, "Statistical analysis of whole-field filtering of specklegram and its upper limit of measurement," J. Opt. Soc. Am. A 1, 845-849 (1984). [CrossRef]

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.

Figures

Fig. 1
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited