光学学报, 2017, 37 (9): 0930003, 网络出版: 2018-09-07 复制并引用该论文  本文已被引 4 次  被引通知

图 & 表

图 1. 免标定波长调制浓度反演算法流程图

Fig. 1. Flow chart of calibration-free wavelength modulation inversion algorithm for concentration

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图 2. (a)三角波波形与简化波形的振幅;(b)相对残差

Fig. 2. (a) Amplitudes of triangle waveform and simplified waveform; (b) relative residual

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图 3. 正弦波扫描三角波调制的DFB激光器频率响应测量信号和拟合曲线。(a)激光器频率响应的离散点和扫描项的拟合曲线;(b)调制项、耦合项对应的频率响应的离散点和拟合曲线;(c)调制项、耦合项离散点与拟合曲线的相对残差

Fig. 3. Measured and fitted frequency response of sine wave scanning superimposed by triangular wave modulation for DFB laser. (a) discrete points of laser frequency response and fitted curve of scanning term; (b) discrete points and fitted curve of frequency response of modulation term and coupling term; (c) relative residual between discrete points and fitted curves of modulation term and coupling term

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图 4. CH4浓度免标定测量实验装置示意图

Fig. 4. Schematic of experimental apparatus for measuring CH4 concentration without calibration

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图 5. 背景光强信号和4.00%CH4的吸收信号

Fig. 5. Background light intensity signal and absorption signal of CH4 with mole fraction of 4.00%

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图 6. (a)最佳调制参数下三角波调制与正弦波调制的二次谐波信号SM2f;(b) 4.00%CH4三角波调制实验SM2f/1f信号和仿真SS2f/1f信号;(c)仿真SS2f/1f与实验SM2f/1f信号拟合的相对残差

Fig. 6. (a) Second harmonic signals of SM2f for triangle wave modulation and sine wave modulation at optimal modulation parameters; (b) experimental SM2f/1f and simulated SS2f/1f for CH4 with mole fraction of 4.00%; (c) relative residual between simulated SS2f/1f and experimental S2f/1fM

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图 7. (a) 4.00%CH4连续600 s的测量浓度;(b) Allan方差

Fig. 7. (a) Measured mole fraction of 4.00%CH4 in 600 s; (b) Allan variance

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图 8. CH4/N2混合气体中CH4的测量浓度

Fig. 8. Measured mole fraction of CH4 in mixture gas of CH4 and N2

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图 9. CH4/N2/CO2混合气体中CH4的测量浓度

Fig. 9. Measured mole fraction of CH4 in mixture gas of CH4, N2 and CO2

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表 1傅里叶展开式系数Ai及其相对A1的比例Ki

Table1. Fourier expanding coefficients Ai and ratio (Ki) of Ai to A1

i 1 2 3 4 5 6 7 8 9 10 Ai 0.8105 0.0900 0.0324 0.0165 0.0100 0.0066 0.0047 0.0036 0.0028 0.0022 Ki 100.00 11.111 4.000 2.040 1.234 0.826 0.591 0.444 0.346 0.277

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表 2V(t)拟合的参数

Table2. Parameters of fitting results of V(t)

Coefficient 1st harmonic 2nd harmonic 3rd harmonic as,i 2.96×10-1 -5.56×10-3 *-5.07×10-4 am,i -1.56×10-1 3.81×10-3 *-1.09×10-4 bm,i 1.51×10-2 *-3.32×10-5 *3.52×10-5

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表 3所选谱线的主要参数

Table3. Main parameters of selected spectral lines

ν0 /cm-1 S(296 K) /(cm-2·Pa-1) E /cm-1 6046.94195 2.000×10-7 62.8758 6046.95275 2.454×10-7 62.8768 6046.96474 3.227×10-7 62.8782

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表 4不同浓度CH4的配气列表(CH4/N2)

Table4. Distribution list for different mole fractions of CH4(CH4/N2)

CH4 mole fraction /% CH4 flow /(L·min-1) N2 flow /(L·min-1) Total flow /(L·min-1) 0.80 0.20 0.80 1.00 1.00 0.25 0.75 1.00 1.60 0.40 0.60 1.00 2.00 0.50 0.50 1.00 2.40 0.60 0.40 1.00 3.00 0.75 0.25 1.00 3.20 0.80 0.20 1.00 4.00 1.00 0.00 1.00

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表 5不同浓度CH4的配气列表(CH4/N2/CO2)

Table5. Distribution list for different mole fractions of CH4 (CH4/N2/CO2)

Mole fraction /% CH4 flow /(L·min-1) CO2 flow /(L·min-1) Total flow /(L·min-1) CH4 CO2 0.80 80 0.20 0.80 1.00 1.00 75 0.25 0.75 1.00 1.60 60 0.40 0.60 1.00 2.00 50 0.50 0.50 1.00 2.40 40 0.60 0.40 1.00 3.00 25 0.75 0.25 1.00 3.20 20 0.80 0.20 1.00 4.00 0 1.00 0.00 1.00

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汪步斌, 周宾, 王浩, 熊涌泉, 王一红, 祝仰坤, 王式民. 基于三角波调制的免标定气体浓度测量方法研究[J]. 光学学报, 2017, 37(9): 0930003. Bubin Wang, Bin Zhou, Hao Wang, Yongquan Xiong, Yihong Wang, Yangkun Zhu, Shimin Wang. Study on Calibration-Free Measurement Method for Gas Concentration Based on Triangular Wave Modulation[J]. Acta Optica Sinica, 2017, 37(9): 0930003.