Topological Model of Laser Emission Parameters Research

Yu. S. Kurskoy, O. Hnatenko, Y. Machekhin, M. V. Neofinyy
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Abstract

The research paper presents a model for studying both the parameters and dynamics of laser light as a nonlinear dynamic system. The model provides for the measurement of the values of physical quantities by non-linear metrology methods and the analysis of the research findings with topological tools. The model is based on the assumption of interval values of the measured values and the possibility of changing the stationary dynamics into the random one. The model contains an experiment scheme and a procedure for evaluating measurement results. The peculiarity of the model lies in its systemic approach and suitability for measuring and researching stationary and chaotic modes. The model provides for the measurement of the emission parameter values intervals in various modes, of their stability values and time series prediction. Classification of the system dynamics is performed using the fractal dimension. The model can be used both to ensure the stability of the laser light parameters, and to obtain and control random emission.
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激光发射参数拓扑模型的研究
本文提出了一个将激光作为一个非线性动态系统来研究其参数和动力学的模型。该模型提供了用非线性计量方法测量物理量值和用拓扑工具分析研究成果的方法。该模型基于实测值的区间值假设和将平稳动态变为随机动态的可能性。该模型包含实验方案和测量结果的评价程序。该模型的独特之处在于其系统的方法和适合于测量和研究平稳和混沌模式。该模型提供了各种模式下发射参数值区间的测量、稳定性值和时间序列预测。利用分形维数对系统动力学进行了分类。该模型既可以保证激光光参量的稳定性,又可以获取和控制随机发射。
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