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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 2 — Jan. 28, 2013
  • pp: 1693–1712

Theoretical estimation of moiré effect using spectral trajectories

Vladimir Saveljev and Sung-Kyu Kim  »View Author Affiliations

Optics Express, Vol. 21, Issue 2, pp. 1693-1712 (2013)

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Equations for spectral peaks and trajectories are found for N superposed one-dimensional gratings. The equations of trajectories are represented using the complex numbers. The number of geometric elements in the spectrum is found under various conditions and in the matrix form. The derivatives of trajectories are obtained. The orthogonal case is investigated in details, in particular, the regular structures (the square and the octagon) are found in the spectrum. The numerical simulation is in a good agreement with the theory. The proposed technique seems to be helpful in estimation of occurrence of moiré patterns in visual displays.

© 2013 OSA

OCIS Codes
(120.2040) Instrumentation, measurement, and metrology : Displays
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques
(350.2770) Other areas of optics : Gratings

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: October 10, 2012
Revised Manuscript: January 4, 2013
Manuscript Accepted: January 7, 2013
Published: January 16, 2013

Vladimir Saveljev and Sung-Kyu Kim, "Theoretical estimation of moiré effect using spectral trajectories," Opt. Express 21, 1693-1712 (2013)

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