Conclusions
1. Theoretical and experimental studies of matrix transparencies with four-level fractal ordered patterns lead to the conclusion that the resulting matrix topologies can be interpreted as diffraction gratings with high quality of execution of reflecting (or shading) lines.
2. In IR range diffraction properties of those gratings can be partially explained by equations of wave optics because the primary structure of transparency patterns comes down to two mutually unfolded gratings: an orthogonal and a diagonal . These transparencies in the IR range function as stop filters in transmission, and in reflection they produce an interference fringe pattern with specific properties. In the visible light range of ECM, the matrices in question behave as secondary generators of a raster structure. In a laser flow in reflection, transparency matrices create a system of spatial rasters generated on four axes shifted from each other for π/4 rad.
In a laser flow in transmission, transparency matrices behaves as an analyzer of spatial frequencies. The laser flow patterns transmitted through the matrix directly from the source fully coincide with the spatial Fourier spectrum generated by means of a diffractometer.
Head of the problem laboratory of fractal optics G.S. Melnikov
State Optical Institute named after Academician S.I. Vavilova