Discrimination information for intensity distributions of a collimated wave beam

Arkadiy Blank, Natalia Suhareva and Mikhail Tsyganov

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: The results of a nonlinear thermodynamic analysis of the process of refractive distortions of a collimated wave beam profile at the optical path output are presented. The formalism of q-deformed entropy functionals is used, which makes it possible to describe both extensive additive systems and nonextensive systems for which the entropy superposition principle or internal energy is not implemented. Non-extensive thermodynamic systems should be considered as a class of nonlinear systems for which deviation from the Boltzmann–Shannon–Gibbs axiomatics is associated with the structure of the phase space, the presence of predetermined space-time correlations that determine the nonlocality of interactions admissible in the system. A method of discrimination information maps for various types of q-deformed entropies, a method of marginal projections of the first and second spatial moments for the video sequences series of the wave beam intensity profile are proposed. The values of the spatio-temporal correlations of the process, the stationarity time of the dispersion properties of the mappings are obtained. Similar properties are inherent in complex nonextensive systems and lead to nonlinear responses when creating multicomponent systems.

Keywords: Nonlinear thermodynamics; Non-additive processes; Non-extensive systems; q-deformed entropy; Intensity distribution; q-deformed discrimination information; Marginal projections of information maps (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921008237

DOI: 10.1016/j.chaos.2021.111469

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