Applicability of Visualizations on the Poincare Sphere for The Study of Oscillatory Processes in Photochemical and Photoelectrochemical Systems Including Photoinduced Processes in Semiconductors

The use of visualization on the Poincaré sphere for the analysis of self-organization in semiconductors is quite exotic, however, it does not have physical reasons that would make it impossible to implement this approach. We propose to use the Poincaré sphere visualization method to analyze fluctuations and oscillations in the experimentally measurable concentrations of different ions in self-organizing media, including semiconductors and their precursors under conditions of photoinduced self-organization and microwave-induced self-organization (as well as to analyze the oscillatory impulse wave behavior of their self-organization products in ultrafine form as dispersed semiconductor devices). Approbation of this principle is carried out by means of projection onto the sphere of phase portraits of these types of vibrations, which is equivalent to the implementation of an operator that projects a 2D planar graph onto a 3D sphere.