Time-averaged patterns produced by stochastic moiré gratings

A simple computational algorithm is proposed for visualization of time-averaged moiré fringes. Time-averaging numerical techniques can be exploited for the construction of a cryptographic hash function. It appears that visualization of values of that hash function at continuously increasing amplitude of harmonic oscillation can produce interesting optical patterns. Chaotic and visually intriguing patterns are observed when the input of the hash function is selected as an array of random numbers uniformly distributed in the interval [0;1]. Such stochastic moiré gratings produce aesthetically beautiful pictures and can be used to explore aspects of the quality of a random number generator.