Simulation Study of Reflected Spectrum Impact on Fiber Bragg Gratings under Combined External Force and Temperature Effects

The simulation study investigating how external force and temperature collectively affect the reflected spectrum of fiber Bragg gratings requires comprehensive analysis of multiple interacting factors. This research domain typically involves MATLAB-based simulations using coupled-mode theory and transfer matrix methods to model grating behavior. Key implementation aspects include developing algorithms that account for strain-optic and thermo-optic effects through parameterized wavelength shift calculations (Δλ/λ = Kε·ε + KΤ·ΔΤ). The simulation process must integrate mechanical properties of the grating structure, thermal characteristics of the surrounding environment, and stress distribution models using finite element analysis (FEA) integration. Critical functions involve solving the coupled differential equations for light propagation through periodically modulated refractive index structures while implementing temperature-strain decoupling algorithms. This research provides essential insights for optimizing optical system designs, particularly for sensor applications requiring precise discrimination between mechanical and thermal influences on grating performance.