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Stochastic Time-Averaged Moiré Fringes

time
2
128
grating
Harmonic
Random
Stepped
This Demonstration illustrates the formation of time-averaged Moiré fringes. The horizontal axis represents the amplitude of harmonic oscillation
a
; the vertical axis, the longitudinal coordinate
x
. The stationary Moiré grating is shown at
a=0
. Time-averaged images of the Moiré grating are shown at increasing amplitudes of oscillation. The parameter
n
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
n=2
; time-averaged fringes are produced at
n
. You can choose the type of the Moiré gratingit can be harmonic, stepped, or stochastic. Moreover, you can observe two digital images. The first is the time-averaged Moiré image and the second is the filtered image in which time-averaged fringes are shown in high contrast. Interesting time-averaged patterns can be observed whenever a regular Moiré grating is replaced by a set of random numbers uniformly distributed in the interval
[0,1]
. Those patterns can reveal certain properties of the random number generator used to construct the stochastic Moiré grating.
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