Abstract
The article examines the modeling and design of a subsystem of fiber-optic sensors for the diagnosis and monitoring of the operability of mechanical structures in a differential system. In this study, the definition of the problem was developed by a mathematical model of the FBG using the transfer matrix method and using this method, a simulation model for the sensor was solved. The transfer matrix method makes it possible to assign spectral characteristics of optical components based on the theory of coupled modes and the matrix description of an electromagnetic wave passing through an optical fiber. The simulation is performed by solving the equations of coupled modes in MatLab (Simulink) using the transfer matrix method, which provides the basis for the relationship between the controlled modes. The method can take into account refractive index profiles of arbitrary shape and be implemented in a tool called MatLab (Simulink). As a result of the study, optimization was carried out, where light is shed on the effectiveness of the proposed scheme for analyzing deformation measurements, obtaining a linear response. It's inventory-friendly, fast, and open-source. The main contribution of the study is the developed simulation model of the subsystem for fiber Bragg sensors, which shows that the power of the side lobes is completely minimized in the Gaussian reflection spectra of FBG, and the results of MatLab (Simulink) are in excellent agreement with the results of the optical lattice. MatLab (Simulink) has a wide range of applications in modeling various optical fibers for various fields such as visualization, communication, material processing and remote sensing.