Precision Synchronization of Chaotic Optical Systems

Abstract

The ideas of this article develop the technologies for synchronization of chaotic information systems components and parameters. Such systems hide information by embedding data into a chaotic carrier signal. Precision chaotic synchronization requires the correct measurement and analysis of chaotic dynamic variables. A model for estimating the degree of synchronization of chaotic laser modes is proposed. The model is based on the principles and methods of nonlinear chaotic values measurement. It provides the measurement and analysis of chaotic variables, the formation of measurement portrait that represents the states and dynamics of the system, and completes the methods for estimating the chaos degree, radiation parameters stability, and degree of synchronization of dynamic variables. A scheme for studying and controlling the chaotic dynamics of pulsed lasers, which includes a laser, a pulsed energy meter, a spectrum analyzer, a pulse frequency measurement unit, and a system for control, synchronization and recording measurement results is proposed. The divergence criteria for the dynamic variables’ values, fractal dimensions, measurement phase? portraits are offered for evaluation of synchronization. The equation that connects the fractal dimension and system parameters stability is obtained. It can be used for control of chaotic information systems components and parameters dynamics.