Savović Svetislav, Li Linqing, Savović Isidora, Djordjevich Alexandar, Min Rui
Center for Cognition and Neuroergonomics, State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University at Zhuhai, Zhuhai 519087, China.
Faculty of Science, University of Kragujevac, R. Domanovića 12, 34000 Kragujevac, Serbia.
Polymers (Basel). 2022 Mar 19;14(6):1243. doi: 10.3390/polym14061243.
By solving the Langevin equation, mode coupling in a multimode step-index microstructured polymer optical fibers (SI mPOF) with a solid core was investigated. The numerical integration of the Langevin equation was based on the computer-simulated Langevin force. The numerical solution of the Langevin equation corresponded to the previously reported theoretical data. We demonstrated that by solving the Langevin equation (stochastic differential equation), one can successfully treat a mode coupling in multimode SI mPOF as a stochastic process, since it is caused by its intrinsic random perturbations. Thus, the Langevin equation allowed for a stochastic mathematical description of mode coupling in SI mPOF. Regarding the efficiency and execution speed, the Langevin equation was more favorable than the power flow equation. Such knowledge is useful for the use of multimode SI mPOFs for potential sensing and communication applications.
通过求解朗之万方程，研究了具有实心纤芯的多模阶跃折射率微结构聚合物光纤（SI mPOF）中的模式耦合。朗之万方程的数值积分基于计算机模拟的朗之万力。朗之万方程的数值解与先前报道的理论数据一致。我们证明，通过求解朗之万方程（随机微分方程），可以成功地将多模SI mPOF中的模式耦合视为一个随机过程，因为它是由其内在的随机扰动引起的。因此，朗之万方程允许对SI mPOF中的模式耦合进行随机数学描述。在效率和执行速度方面，朗之万方程比功率流方程更具优势。这些知识对于将多模SI mPOF用于潜在的传感和通信应用很有用。
