We report the influence of absorption line selection on the tomographic results for high-temperature flames by numerical and experimental methods. Different combinations of infrared H2O absorption transitions are utilized with the Tikhonov-regularized Abel inversion to reconstruct the radial distribution of temperature and H2O concentration in a flat flame. It is shown that besides using the mathematical algorithm such as regularization, selecting a line pair with a large ΔE″ (>1390 cm−1) also reduces the reconstruction uncertainty at 300–2000 K. In this study, a proper selection of absorption line pairs reduces the reconstruction uncertainty by 25% at the same level of noise. The line pair of H2O transitions at 4029.524 cm−1 and 4030.729 cm−1 is recommended for the tomography of high-temperature flames at 1000–3000 K, whereas the line pair of 7185.597 cm−1 and 7444.352 cm−1 can be used at 300–1000 K.
HansonR.K.“Applications of Quantitative Laser Sensors to Kinetics, Propulsion and Practical Energy Systems”. Proc. Combust. Inst.2011. 33(1): 1–40. doi: 10.1016/j.proci.2010.09.007.
2.
LacknerM.“Tunable Diode Laser Absorption Spectroscopy (TDLAS) in The Process Industries—A Review”. Rev. Chem. Eng.2007. 23(2): 65–147. doi: 10.1515/REVCE.2007.23.2.65.
3.
GoldensteinC.S.SpearrinR.M.JeffriesJ.B.et al.“Infrared Laser-Absorption Sensing for Combustion Flows”. Prog. Energy Combust. Sci.2017. 60: 132–176. doi: 10.1016/j.pecs.2016.12.002.
4.
HansonR.K.SpearrinR.M.GoldensteinC.S.Spectroscopy and Optical Diagnostics for Gases., Switzerland: Springer, 2016.
5.
PapageorgeM.J.McManusT.A.FuestF.et al.“Recent Advances in High-Speed Planar Rayleigh Scattering in Turbulent Jets and Flames: Increased Record Lengths, Acquisition Rates, and Image Quality”. Appl. Phys. B. Lasers Opt. 2014. 115(2): 197–213. doi: 10.1007/s00340-013-5591-2.
6.
CaiW.KaminskiC.F.“Tomographic Absorption Spectroscopy for the Study of Gas Dynamics and Reactive Flows”. Prog. Energy Combust. Sci. 2017. 59: 1–31. doi: 10.1016/j.pecs.2016.11.002.
7.
MaL.H.LauL.Y.RenW.“Non-Uniform Temperature and Species Concentration Measurements in a Laminar Flame Using Multi-Band Infrared Absorption Spectroscopy”. Appl. Phys. B. 2017. 123(3): 83, doi: 10.1007/s00340-017-6645-7.
8.
X. Liu. Line of Sight Absorption of H2O Vapor: Gas Temperature Sensing in Uniform and Nonuniform Flows. [Doctor of Philosophy Dissertation]. Stanford, CA: Stanford University, 2006.
9.
LiS.FarooqA.HansonR.K.“H2O Temperature Sensor for Low-Pressure Flames Using Tunable Diode Laser Absorption Near 2.9 µm”. Meas. Sci. Technol. 2011. 22(12): 125301, doi: 10.1088/0957-0233/22/12/125301.
10.
SmithC.H.GoldensteinC.S.HansonR.K.“A Scanned-Wavelength-Modulation Absorption-Spectroscopy Sensor for Temperature and H2O in Low-Pressure Flames”. Meas. Sci. Technol. 2014. 25(11): 115501, doi: 10.1088/0957-0233/25/11/115501.
11.
GirardJ.J.SpearrinR.M.GoldensteinC.S.et al.“Compact Optical Probe for Flame Temperature and Carbon Dioxide Using Interband Cascade Laser Absorption Near 4.2 µm”. Combust. Flame. 2017. 178: 158–167. doi: 10.1016/j.combustflame.2017.01.007.
12.
LiuC.XuL.LiF.et al.“Resolution-Doubled One-Dimensional Wavelength Modulation Spectroscopy Tomography for Flame Flatness Validation of a Flat-Flame Burner”. Appl. Phys. B: Lasers Opt. 2015. 120(3): 407–416. doi: 10.1007/s00340-015-6150-9.
13.
LiuX.ZhangG.HuangY.et al.“Two-Dimensional Temperature and Carbon Dioxide Concentration Profiles in Atmospheric Laminar Diffusion Flames Measured by Mid-Infrared Direct Absorption Spectroscopy at 4.2 μm”. Appl. Phys. B: Lasers Opt. 2018. 124(4): 61, doi: 10.1007/s00340-018-6930-0.
14.
MaL.LiX.SandersS.T.et al.“50-kHz-rate 2D Imaging of Temperature and H2O Concentration at the Exhaust Plane of a J85 Engine Using Hyperspectral Tomography”. Opt. Express. 2013. 21(1): 1152–1162. doi: 10.1364/OE.21.001152.
15.
WrightP.TerzijaN.DavidsonJ.L.et al.“High-Speed Chemical Species Tomography in a Multi-Cylinder Automotive Engine”. Chem. Eng. J. 2010. 158(1): 2–10. doi: 10.1016/j.cej.2008.10.026.
16.
TsekenisS.-A.RamaswamyK.G.TaitN.et al.“Chemical Species Tomographic Imaging of the Vapour Fuel Distribution in a Compression-Ignition Engine”. Int. J. Engine Res. 2018. 19: 718–731. doi: 10.1177/1468087417730214.
17.
LiuC.CaoZ.LinY.et al.“Online Cross-Sectional Monitoring of a Swirling Flame Using TDLAS Tomography”. IEEE Trans. Instrum. Meas. Gen. 2018. 67(6): 1338–1348.
18.
LiuC.XuL.ChenJ.et al.“Development of a Fan-Beam TDLAS-Based Tomographic Sensor for Rapid Imaging of Temperature and Gas Concentration”. Opt. Express. 2015. 23(17): 22494–22511. doi: 10.1364/OE.23.022494.
19.
YuT.TianB.CaiW.“Development of a Beam Optimization Method for Absorption-Based Tomography”. Opt. Express. 2017. 25(6): 5982–5999. doi: 10.1364/OE.25.005982.
20.
DaschC.J.“One-Dimensional Tomography: A Comparison of Abel, Onion-Peeling, and Filtered Backprojection Methods.”. Appl. Opt. 1992. 31: 1146–1152. doi: 10.1364/AO.31.001146.
21.
ÅkessonE.O.DaunK.J.“Parameter Selection Methods for Axisymmetric Flame Tomography Through Tikhonov Regularization”. Appl. Opt. 2008. 47(3): 407–416. doi: 10.1364/AO.47.000407.
22.
YuT.CaiW.“Benchmark Evaluation of Inversion Algorithms for Tomographic Absorption Spectroscopy”. Appl. Opt. 2017. 56(8): 2183–2183. doi: 10.1364/AO.56.002183.
MaL.LiX.CaiW.et al.“Selection of Multiple Optimal Absorption Transitions for Nonuniform Temperature Sensing”. Appl. Spectrosc. 2010. 64(11): 1273–1282. doi: 10.1366/000370210793335052.
25.
QuQ.CaoZ.XuL.et al.“Optimal Selection of Spectral Lines for Multispectral Absorption Tomography”. Appl. Phys. B: Lasers Opt. 2018. 124(9). doi: 10.1007/s00340-018-7059-x.
26.
HansenP.C.O'LearyD.P.“The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems”. SIAM J. Sci. Comput. 1993. 14(6): 1487–1503. doi: 10.1137/0914086.
27.
MaL.NingH.WuJ.et al.“In Situ Flame Temperature Measurements Using a Mid-Infrared Two-Line H2O Laser-Absorption Thermometry”. Combust. Sci. Technol. 2018. 190(3): 392–407. doi: 10.1080/00102202.2017.1392515.
FarooqA.JeffriesJ.B.HansonR.K.“In Situ Combustion Measurements of H2O and Temperature Near 2.5 µm Using Tunable Diode Laser Absorption”. Meas. Sci. Technol. 2008. 19(7): 075604, doi: 10.1088/0957-0233/19/7/075604.
30.
PengW.Y.GoldensteinC.S.SpearrinM.et al.“Single-Ended Mid-Infrared Laser-Absorption Sensor for Simultaneous in Situ Measurements of H2O, CO2, CO, and Temperature in Combustion Flows”. Appl. Opt. 2016. 55(33): 9347–9359. doi: 10.1364/AO.55.009347.
31.
SunP.ZhangZ.LiZ.et al.“A Study of Two Dimensional Tomography Reconstruction of Temperature and Gas Concentration in a Combustion Field Using TDLAS”. Appl. Sci. 2017. 7(10): 990, doi: 10.3390/app7100990.
32.
WangF.WuQ.HuangQ.et al.“Simultaneous Measurement of 2-Dimensional H2O Concentration and Temperature Distribution in Premixed Methane/Air Flame Using TDLAS-Based Tomography Technology”. Opt. Commun. 2015. 346: 53–63. doi: 10.1016/j.optcom.2015.02.015.
33.
LiuX.JeffriesJ.B.HansonR.K.“Measurement of Nonuniform Temperature Distributions Using Line-Of-Sight Absorption Spectroscopy”. AIAA J. 2007. 45(2): 411–419. doi: 10.2514/1.26708.
34.
G.B. Rieker, J.T.C. Liu, J.B. Jeffries, et al. Diode Laser Sensor for Gas Temperature and H2O Concentration in a Scramjet Combustor Using Wavelength Modulation Spectroscopy. In: 41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit. Tucson, AZ: July 10–13, 2005. Pp. 3710.
35.
LiuC.XuL.CaoZ.“Measurement of Nonuniform Temperature and Concentration Distributions by Combining Line-Of-Sight Tunable Diode Laser Absorption Spectroscopy with Regularization Methods”. Appl. Opt. 2013. 52(20): 4827–4842. doi: 10.1364/AO.52.004827.
36.
GoreJ.P.FaethG.M.“Structure and Spectral Radiation Properties of Turbulent Ethylene/Air Diffusion Flames”. Symp. Int. Combust. 1988. 21(1): 1521–1531. doi: 10.1016/S0082-0784(88)80385-0.
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