Straight line fitting of fiber grating Bragg wavelength based on least square method

JIANG De-sheng; GAO Pian; ZHANG Cui; FAN Dian

doi:10.13873/j.1000-97872006.06.008

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Straight line fitting of fiber grating Bragg wavelength based on least square method

更新时间：2025-09-11

- Straight line fitting of fiber grating Bragg wavelength based on least square method
- Issue 6, Pages: 25-27(2006)
- 作者机构：
  
  1. 武汉理工大学光纤传感技术研究中心
  2. 武汉理工大学光纤传感技术研究中心,湖北,武汉,430070
- 作者简介：
- 基金信息：
- DOI：10.13873/j.1000-97872006.06.008
  CLC： TN253
- Published：2006
- 稿件说明：
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[1]姜德生,高翩,张翠,范典.基于最小二乘法的光纤光栅Bragg波长直线拟合[J].传感器与微系统,2006(06):25-27.

JIANG De-sheng, GAO Pian, ZHANG Cui, et al. Straight line fitting of fiber grating Bragg wavelength based on least square method[J]. 2006, (6): 25-27.
[1]姜德生,高翩,张翠,范典.基于最小二乘法的光纤光栅Bragg波长直线拟合[J].传感器与微系统,2006(06):25-27. DOI： 10.13873/j.1000-97872006.06.008.

JIANG De-sheng, GAO Pian, ZHANG Cui, et al. Straight line fitting of fiber grating Bragg wavelength based on least square method[J]. 2006, (6): 25-27. DOI： 10.13873/j.1000-97872006.06.008.

摘要

针对基于可调谐法布里珀罗（F-P）滤波器的光纤光栅解调系统存在波长解调准确度不够高的问题

从理论上系统地分析了在解调过程中对光纤光栅B ragg波长进行直线拟合的可行性

即光纤光栅B ragg波长与F-P滤波器的调谐电压之间存在线性相关性。在实验研究的基础上

用最小二乘法对光纤光栅B ragg波长和F-P滤波器的调谐电压进行直线拟合

结果表明:它们之间的确存在密切的线性相关性。为提高拟合的效果

提出了分段直线拟合

它可以使测量误差降低至少1个数量级

从而提高了F-P滤波器光纤光栅解调系统的准确度。

Abstract

Refer to the demodulation system of fiber grating Bragg wavelength with a Fabry-Perot filter

of which the demodulation accuracy is not high enough

the feasibility of straight line fitting of fiber grating Bragg wavelength is analyzed theoretically.Bragg wavelength of fiber grating and tuning voltage of Fabry-Perot filter is linear.It is also proved by experiment that there is strong linear dependency between them.In order to improve the fitting effect

a sectional straight line fitting algorithm based on least square method is proposed.The demodulation accuracy of the system is improved.

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references

可调谐液晶滤波器的调谐性能研究 [J]. 吕玮阁,陈海星,顾培夫,刘旭. 光学学报 . 2004(11)

大学物理实验教程[M]. 科学出版社 , 王云才,李秀燕主编, 2003

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