This Demonstration illustrates the formation of time-averaged moiré fringes. The horizontal axis stands for the amplitude of harmonic oscillation ; the vertical axis represents the longitudinal coordinate . Stationary moiré grating is visualized at . Time-averaged images of the moiré grating are shown at increasing amplitudes of oscillation. The parameter controls the density of the moiré grating lines. The parameter controls the number of discrete time nodes in a period of the oscillation used to integrate the dynamical process. Double exposure fringes are produced at ; time-averaged fringes are produced at . One can observe the development of time-averaged fringes at increasing .

Contributed by: Algiment Aleksa and Minvydas Ragulskis (Research Group for Mathematical and Numerical Analysis of Dynamical Systems)

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[1] M. Ragulskis, "Time-Averaged Patterns Produced by Stochastic Moiré Gratings," Computers and Graphics, 33(2), 2009 pp. 147–150.

[2] M. Ragulskis, L. Saunoriene, and R. Maskeliunas, "The Structure of Moiré Grating Lines and Its Influence to Time-Averaged Fringes," Experimental Techniques, 33(2), 2009 p. 60–64.

[3] M. Ragulskis and Z. Navickas, "Time Average Geometric Moiré—Back to the Basics," Experimental Mechanics, 49(4), 2009 pp. 439-450.

[4] M. Ragulskis, A. Aleksa, and R. Maskeliunas, "Contrast Enhancement of Time-Averaged Fringes Based on Moving Average Mapping Functions," Optics and Lasers in Engineering, 47(7-8), 2009 pp. 768–773.

[5] M. Ragulskis and A. Aleksa, "Image Hiding Based on Time-Averaging Moire," Optics Communications, 282(14), 2009 pp. 2752–2759.