The features of the Fourier spectra of fractal-like systems are studied. On the basis of theoretical studies,
the features of the scaling invariants of the objects under consideration in light fields are determined, which
manifest themselves in the form of stable local formations — patterns. Particular attention is paid to the
problem of stability of the ratios of the scaling characteristics of the analyzed systems and their Fourier
transforms. The possibility of identifying and systematizing various fractal systems based on the estimation
of their scaling parameters is considered. An analysis of the stability of the scaling parameters of the probing
radiation to changes in the parameters of the systems under study indicates that the pattern approach to
improving the methods of optical diagnostics is promising.