Separation Layer Algorithm and Fourier Transform Methods

In this text, we will explore in detail the application of separation layer algorithms and Fourier transform methods, which can be used to analyze the characteristics of fiber Bragg gratings (FBG). Programming with MATLAB language serves as an effective approach to implement these analytical methods. FBG represents a fiber-based sensor technology capable of measuring physical quantities such as stress, temperature, and pressure. With its simple structure and low cost, FBG finds extensive applications across various fields including aerospace, medical, and environmental monitoring. We will demonstrate how to analyze FBG properties to achieve these practical applications, contributing to a better understanding of FBG working principles and their implementations in different domains.

From a programming perspective, the separation layer algorithm can be implemented in MATLAB using matrix operations and iterative calculations to decompose complex FBG structures. The Fourier transform analysis typically employs MATLAB's built-in fft function to convert optical signals from time domain to frequency domain, enabling precise characterization of FBG reflection spectra. Key implementation considerations include proper sampling frequency selection, window function application, and spectral normalization to ensure accurate FBG parameter extraction.