Moire by fractal structures

The theoretical and experimental results of the Moire effect observed by superposing two grids containing fractal Cantor structures are presented in this paper. It is also analysed the equivalence between the information obtained by the Fraunhofer diffraction through those fractal grids and that obtained through Moire. In a recently published paper [1] it was verified that the diffraction pattern is highly sensitive to variations in dimension, order of growth and lacunarity of the Cantor fractal, becoming a powerful tool to analyse and determine these parameters. So, in this paper it is intended to determine the effect that the order of growth, the dimension, and the lacunarity of one-dimensional fractal Cantor structures have over the Moire patterns that result from superposing these structures over replicas of themselves which have been rotated through a small angle alpha. The main goal is to verify if there exists an intimate relation between the resulting Moire pattern and the parameters that describe this fractal structure, as occurs in the case of the diffraction pattern.