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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 47, Iss. 9 — Mar. 20, 2008
  • pp: 1327–1335

Tilt sensitivity of the two-grating interferometer

Christopher N. Anderson and Patrick P. Naulleau  »View Author Affiliations

Applied Optics, Vol. 47, Issue 9, pp. 1327-1335 (2008)

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Fringe formation in the two-grating interferometer is analyzed in the presence of a small parallelism error between the diffraction gratings assumed in the direction of grating shear. Our analysis shows that with partially coherent illumination, fringe contrast in the interference plane is reduced in the presence of nonzero grating tilt with the effect proportional to the grating tilt angle and the grating spatial frequencies. Our analysis also shows that for a given angle between the gratings there is an angle between the final grating and the interference plane that optimizes fringe contrast across the field.

© 2008 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.0050) Diffraction and gratings : Diffraction and gratings
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(110.3175) Imaging systems : Interferometric imaging

ToC Category:
Imaging Systems

Original Manuscript: October 2, 2007
Revised Manuscript: January 4, 2008
Manuscript Accepted: January 9, 2008
Published: March 18, 2008

Christopher N. Anderson and Patrick P. Naulleau, "Tilt sensitivity of the two-grating interferometer," Appl. Opt. 47, 1327-1335 (2008)

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  20. Because the DOF dephasing term is odd in theta we need to use the full NA (2Δθ) to get the full dephasing for the DOF term. The tilt dephasing term is even in theta so only the half NA is required here.
  21. Here the small correction term does not contain a small parameter (g, γ, d) so we go to second order to maintain reasonable accuracy in the expansion.

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