Detection of center wavelength of jittery spectrum of uwCFBG based on correlation coefficient solution

In this paper, we propose a method for detecting the center wavelength of ultra-weak chirped fiber Bragg grating (uwCFBG) with a jittery spectrum, based on the solution of the correlation coefficient.We establish a mathematical model for uwCFBG by superimposing segmented step Gaussian functions with noise.Then, we analyze the variation trajectory of the correlation coefficient under different relative positions through simulation.Finally, we conduct a comparative analysis of the 284-element uwCFBGs.The experimental results show that the extreme difference of the center wavelength calculation is 0.19 nm and the variance is 0.08, which proves that the proposed algorithm process is simpler and the results are more robust.