Pattern Analysis of Fractal-Like Systems

The peculiarities of Fourier spectra of fractal-like systems have been studied. Based on theoretical investigations, the features of scaling invariants of the examined objects in optical fields have been identified, manifesting in the form of stable local formations, or patterns. Special attention has been given to the issue of the stability of scaling relationships between the analyzed systems and their Fourier transforms. The possibility of identifying and systematizing different fractal systems based on the evaluation of their scaling parameters has been explored. The analysis of the stability of scaling parameters of probing radiation with respect to the variations in the parameters of the investigated systems indicates the prospects of a pattern-based approach to improving optical diagnostic methods.