Simulation Study of Bragg Fiber Grating Reflection Spectrum Based on Transfer Matrix Method

This paper conducts a simulation study of Bragg fiber grating reflection spectra using the transfer matrix method. The research demonstrates that this approach can effectively analyze and optimize the performance of Bragg fiber gratings, providing new perspectives and methodologies for optical fiber communication research. The implementation typically involves discretizing the grating structure into multiple segments and calculating the cumulative transfer matrix through iterative matrix multiplication operations. Key functions include computing phase shifts, coupling coefficients, and propagating fields through each grating period. Additionally, the study investigates the consistency between simulation results and experimental data, and further refines the simulation methodology by incorporating adaptive step sizing and boundary condition optimization to enhance accuracy and reliability. The improved algorithm features better convergence properties and reduced computational complexity while maintaining physical validity.