基于谱形识别与海星算法的FBG畸变谱解调方法

A wavelength demodulation method for distorted FBG spectra based on spectral pattern recognition and starfish optimization algorithm

  • 摘要: 针对光纤布拉格光栅(Fiber Bragg Grating,FBG)在实际应用中因应力疲劳、热老化等因素导致反射光谱发生畸变、波长难以解调的问题,文中提出了一种基于谱形识别与海星优化算法(Starfish Optimization Algorithm,SFOA)的解调方法。通过仿真探究畸变原因,在广义非对称高斯模型的基础上,构建典型畸变光谱的理论函数表达形式,并将畸变FBG光谱的波长解调问题转化为非线性函数拟合优化问题。为实现畸变类型的准确识别,引入卷积神经网络对不同类型畸变反射谱进行分类判别,提升了解调系统对复杂谱形的适应能力。在此基础上,采用海星优化算法对模型参数进行优化搜索,实现畸变谱的高精度波长解调。实验结果表明,该方法在多种畸变类型下均具有良好的解调精度,在加入噪声的仿真数据上,中心波长平均误差为1.57 pm;在真实采样数据上,每组实验平均拟合均方根误差为0.006617。相比传统峰值检测方法,该方法有效提升了FBG在畸变情况下的解调鲁棒性,为延长FBG使用寿命与增强解调系统可靠性提供了新的技术路径。

     

    Abstract:
    Objective Fiber Bragg Gratings (FBGs) are widely used in structural health monitoring, aerospace engineering, and other fields due to their advantages of high sensitivity, immunity to electromagnetic interference, and multiplexing capability. However, in long-term practical applications, FBGs are susceptible to stress fatigue, thermal aging, microstructural deterioration, and other environmental stresses. These factors often lead to reflection spectral distortion, including spectral broadening, asymmetry, intensity attenuation, and overlapping, which significantly complicates wavelength demodulation and reduces sensing reliability. To address these challenges, this study proposes an adaptive demodulation method that integrates spectral pattern recognition with the Starfish Optimization Algorithm (SFOA).
    Methods The mechanisms behind typical spectral distortion types are first analyzed through numerical simulations. Based on the generalized asymmetric Gaussian model, theoretical expressions for representative distorted spectra are constructed, enabling the wavelength demodulation task to be reformulated as a nonlinear function-fitting optimization problem. To automatically and accurately identify different distortion categories, a convolutional neural network (CNN) is designed and trained using multiple types of distorted FBG spectra, thereby improving the adaptability of the demodulation framework to complex and variable spectral shapes. Following distortion classification, SFOA is applied to optimize the parameters of the spectral model. By mimicking starfish predation and regeneration behaviors, SFOA performs global search within the solution space to obtain the optimal parameter set that minimizes the fitting error, allowing reliable demodulation even under severe distortion conditions.
    Results and Discussions Experimental results show that the proposed method achieves consistently high accuracy for various distortion types. For simulated spectra with added noise, the mean center-wavelength error reaches 1.57 pm. For real sampled data, the average root mean square error (RMSE) of spectral fitting across multiple experimental groups is 0.006617. Compared with conventional peak-based methods, the proposed approach offers notable improvements in robustness, stability, and adaptability.
    Conclusions This adaptive demodulation method provides an effective solution for handling distorted FBG spectra and significantly enhances the fault tolerance and operational reliability of FBG sensing systems. It also offers a promising pathway for extending sensor service life in complex environments.

     

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