最小二乘曲线拟合在光纤光栅波长解调中的应用研究

J4 ›› 2011, Vol. 24 ›› Issue (1): 77-80,96.

最小二乘曲线拟合在光纤光栅波长解调中的应用研究

赵林, 刘统玉, 倪家升, 宋志强

山东省光纤传感技术重点实验室，山东省科学院激光研究所，山东济南 250014

出版日期:2011-02-20 发布日期:2011-02-20

Application of least squares curve fitting in wavelength interrogation of fiber Bragg grating

ZHAO Lin, LIU Tong-Yu, NI Jia-Sheng, SONG Zhi-Qiang

Shandong Provincial Key Laboratory of Optical Fiber Sensing, Laser Institute , Shandong Academy of Sciences, Jinan 250014, China

Online:2011-02-20 Published:2011-02-20

摘要/Abstract

摘要：

本文在分析光谱解调中心波长检测的基础上，从最小二乘法基本原理出发进行曲线拟合，结合实验数据实例，构造一个最佳通用多项式光谱拟合模型，再利用得到的函数关系实现对乙炔吸收光谱中各中心波长的曲线拟合与仿真，降低中心波长飘移，提高检测精度。

关键词: 波长解调, 曲线拟合, 最小二乘法

Abstract:

We perform curve fitting with the principle of least squares, which is based on the analysis of the wavelength detection of spectrum interrogation center. We construct an optimal generic polynomial spectrum fitting model with experimental data. This model is further applied to the curve fitting and simulation of individual central wavelength of acetylene absorption spectrum. Experimental results show that this model can reduce the drift of central wavelength and increase the accuracy of detection.

Key words: wavelength interrogation, curve fitting, least squares method

中图分类号:

TN209

赵林, 刘统玉, 倪家升, 宋志强. 最小二乘曲线拟合在光纤光栅波长解调中的应用研究[J]. J4, 2011, 24(1): 77-80,96.

ZHAO Lin, LIU Tong-Yu, NI Jia-Sheng, SONG Zhi-Qiang. Application of least squares curve fitting in wavelength interrogation of fiber Bragg grating[J]. J4, 2011, 24(1): 77-80,96.

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