Methodological Aspects of Optical Diagnostics Fractal Structures and Their Systematization

Abstract

The properties of fractal structures defined by complex functions are tested. The amplitude-phase characteristics and spatial spectra of probing light beams are considered. An important methodic aspect of spectral analysis of structures with fractal geometry is the ability to expand the range of information obtained by parallel amplitude and phase processing. In deciphering the Fourier images of fractals, one can use the discovered fact that the intensity maxima and phase singularities coincide. As a positive point, it should be noted a high degree of the spatial spectrum stability to the influence of optical noise. The registered degree of asymmetry of the Fourier image structure can be used to determine the level of phase disturbances in the initial light field. The performed work expands the knowledge of factors requiring consideration in the optical diagnostics of fractal objects.