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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


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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

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