Integral absorbance measurement for a non-uniform flow field using wavelength modulation absorption spectroscopy

Junling Song; Mingyuan Xin; Mingyuan Xin; Wei Rao; Yanji Hong; Gaoping Feng

doi:10.1364/AO.425183

Applied Optics
Vol. 60,
Issue 17,
pp. 5056-5065
(2021)
•https://doi.org/10.1364/AO.425183

Integral absorbance measurement for a non-uniform flow field using wavelength modulation absorption spectroscopy

Junling Song, Mingyuan Xin, Wei Rao, Yanji Hong, and Gaoping Feng

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Junling Song, Mingyuan Xin, Wei Rao, Yanji Hong, and Gaoping Feng, "Integral absorbance measurement for a non-uniform flow field using wavelength modulation absorption spectroscopy," Appl. Opt. 60, 5056-5065 (2021)

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Abstract

Combined with computed tomography (CT), the laser absorption spectroscopy technique is used to measure the two-dimensional distribution information of the flow field. The CT method needs an “integral parameter” as a known quantity. The integrated absorbance satisfies the criterion in the laser absorption spectral measurement. The direct absorption spectroscopy method directly measures the integrated absorbance. However, fitting the absorbance curve is difficult due to the distorted baseline in harsh environments. By contrast, the wavelength modulation spectroscopy (WMS) method has satisfactory noise rejection capability. The difficulty that introduces WMS method to measure the non-uniform flow distribution is the integrated absorbance cannot be written in a mathematical expression. Previous efforts focused on solving the average temperature, concentration, and pressure and recalculating the integrated absorbance. This paper aims to develop an integrated absorbance measurement based on the calibration-free WMS method for non-uniform flow, which is called the calibration-free WMS-A method. First, the relationship between the transmissivity and integrated absorbance was established. Then, integrated absorbance was written into the WMS harmonic signals and solved by comparing the measured and simulated signals. The systematic comparison between the WMS-A and the previous WMS method showed the effectivity of the WMS-A method for non-uniform flow measurement. The reliable integrated absorbance can considerably improve the two-dimensional reconstruction quality.

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Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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	$A$	$Δ ν_{D}$	$Δ ν_{C}$
7185.597	$1.0 \times 1 0^{- 5} - 0.044$	0.020–0.067	0.0092–0.65
7454.445	$7.4 \times 1 0^{- 7} - 0.0061$	0.021–0.069	0.011–0.52

( $T$ [K], $χ$ , $P$ [atm])	$A_{t r u e}$ [ $c m^{- 1}$ ]	$A_{c a l}$ [ $c m^{- 1}$ ]	$e_{A}$ [ $c m^{- 1}$ ]
(300, 0.02, 1)	$4.057 \times 1 0^{- 3}$	$4.067 \times 1 0^{- 3}$	0.24%
(1200, 0.2, 0.9)	$4.038 \times 1 0^{- 2}$	$4.037 \times 1 0^{- 2}$	0.01%
(2500, 0.4, 0.8)	$1.190 \times 1 0^{- 2}$	$1.191 \times 1 0^{- 2}$	0.10%

	Mean Measured Results	True Value	Mean Error	Standard Deviation
1st-order model	$8.220 \times 1 0^{- 2}$	$8.108 \times 1 0^{- 2}$	1.38%	$1.51 \times 1 0^{- 4}$
2nd-order model	$8.107 \times 1 0^{- 2}$	$8.108 \times 1 0^{- 2}$	0.01%	$3.46 \times 1 0^{- 4}$

	$A$	$Δ ν_{D}$	$Δ ν_{C}$
7185.597	$1.0 \times 1 0^{- 5} - 0.044$	0.020–0.067	0.0092–0.65
7454.445	$7.4 \times 1 0^{- 7} - 0.0061$	0.021–0.069	0.011–0.52

( $T$ [K], $χ$ , $P$ [atm])	$A_{t r u e}$ [ $c m^{- 1}$ ]	$A_{c a l}$ [ $c m^{- 1}$ ]	$e_{A}$ [ $c m^{- 1}$ ]
(300, 0.02, 1)	$4.057 \times 1 0^{- 3}$	$4.067 \times 1 0^{- 3}$	0.24%
(1200, 0.2, 0.9)	$4.038 \times 1 0^{- 2}$	$4.037 \times 1 0^{- 2}$	0.01%
(2500, 0.4, 0.8)	$1.190 \times 1 0^{- 2}$	$1.191 \times 1 0^{- 2}$	0.10%

Abstract

Data Availability

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Figures (13)

Tables (5)

Equations (28)

Applied Optics