• Acta Optica Sinica
  • Vol. 38, Issue 12, 1214001 (2018)
Yibing Lu1、2、*, Wenqing Liu1, Yujun Zhang1、*, Kai Zhang1、2, and Dongqi Yu1、2
Author Affiliations
  • 1 Key Laboratory of Environmental Optics and Technology, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei, Anhui 230031, China
  • 2 University of Science and Technology of China, Hefei, Anhui 230031, China
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    DOI: 10.3788/AOS201838.1214001 Cite this Article Set citation alerts
    Yibing Lu, Wenqing Liu, Yujun Zhang, Kai Zhang, Dongqi Yu. A Fast Calculation Method of Single Spectral Absorption Integral Absorbance and Its Application[J]. Acta Optica Sinica, 2018, 38(12): 1214001 Copy Citation Text show less
    Flow chart of TDLAS concentration inversion algorithm
    Fig. 1. Flow chart of TDLAS concentration inversion algorithm
    Schematic of triangular function
    Fig. 2. Schematic of triangular function
    Flow chart of L-M algorithm
    Fig. 3. Flow chart of L-M algorithm
    Fitted absorbance curves of CO with different volume fractions. (a) 8×10-6; (b) 16×10-6; (c) 24×10-6; (d) 48×10-6
    Fig. 4. Fitted absorbance curves of CO with different volume fractions. (a) 8×10-6; (b) 16×10-6; (c) 24×10-6; (d) 48×10-6
    Normalized residual comparison using two fitting methods
    Fig. 5. Normalized residual comparison using two fitting methods
    Normalized residual of absorption spectrum of CO with volume fraction of 8×10-6 using two different methods
    Fig. 6. Normalized residual of absorption spectrum of CO with volume fraction of 8×10-6 using two different methods
    Time consuming of two fitting methods
    Fig. 7. Time consuming of two fitting methods
    Actual volume fraction/10-6Inversion volume fraction/10-6Absolute error/10-6Relative error /%
    Gauss-HermiteTRIGauss-HermiteTRIGauss-HermiteTRI
    21.94781.9434-0.0522-0.0566-2.61-2.83
    43.91863.9116-0.0814-0.0884-2.04-2.21
    88.13768.14880.13760.14881.721.86
    1616.180816.19360.18080.19361.131.21
    2424.232824.24960.23280.24960.971.04
    4847.572847.544-0.4272-0.456-0.89-0.95
    6464.537664.56320.53760.56320.840.88
    Table 1. Concentration inversion results using two different fitting methods
    Yibing Lu, Wenqing Liu, Yujun Zhang, Kai Zhang, Dongqi Yu. A Fast Calculation Method of Single Spectral Absorption Integral Absorbance and Its Application[J]. Acta Optica Sinica, 2018, 38(12): 1214001
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