Simultaneous measurement of gas distribution in a
premixed flame using adaptive algebraic reconstruction
technique based on the absorption spectrum
Lifang Zhang (张立芳), Fei Wang (王 飞)*, Haidan Zhang (张海丹),
Jianhua Yan (严建华), and Kefa Cen (岑可法)
State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou 310027, China
*Corresponding author: wangfei@zju.edu.cn
Received June 3, 2016; accepted September 23, 2016; posted online October 21, 2016
Four tomography algorithms, including the algebraic reconstruction technique, simultaneous iterative
reconstruction technique, the multiplicative algebraic reconstruction technique, and the adaptive algebraic
reconstruction technique (AART), are compared with each other based on the tunable diode laser absorption
spectroscopy technique; the determination of the relaxation parameter is discussed to improve reconstruction
quality and shorten computational time as much as possible. The calculated results demonstrate that the AART
algorithm can produce the reconstruction results with better quality and less computational time. In the
experimental measurement, the AART algorithm with a two-line thermometry scheme is adopted to measure
the spatial distribution of H
2
O temperature and concentration, two H
2
O absorption lines near 1397.8 nm are
selected, the temperature and H
2
O concentration in the McKenna plat premixed flames are experimentally
reconstructed and analyzed, and the results of integrated tomography reconstruction are consistent with the
thermocouple traverse measurement.
OCIS codes: 120.1740, 110.0110, 300.1030.
doi: 10.3788/COL201614.111201.
The nonintrusive measurement technology with tunable
diode laser absorption spectroscopy (TDLAS) is becoming
more and more popular because of its application among
different fields, such as the biological, aerostatic, and
combustion research areas
[1–4]
. In combustion research, the
distributions of temperature and concentration are quite
important for on-line measurement. However, traditional
line-of-sight TDLAS can only get the average values of
temperature and concentration along a direction of the
laser path
[5–7]
. Recently, many computerized tomography
(CT) methods combined with TDLAS have been used
to reconstruct the spatial distributions of temperature
and gas concentrations in combustion research. Lots of
tomography methods have been recommended, such as
simulated annealing (SA), weighted back-projection
(WBP), maximum likelihood-expectation maximization
(ML-EM), the algebraic reconstruction technique (ART),
and so on
[8–11]
. In these different methods, the ART algo-
rithm has been widely applied to many research fields, and
based on the ART algorithm many better iterative meth-
ods have been further proposed, such as the simultaneous
iterative reconstruction technique (SIRT), the multiplica-
tive algebraic reconstruction technique (MART), the si-
multaneous algebraic reconstruction technique (SART),
the adaptive algebraic reconstruction technique (AART),
and so on
[12–16]
. Recently, some of these methods show
great reconstructive performance in the combustion field.
Li et al. use the modified AART (MAART) method
to numerically reconstruct the discrete distribution of
temperature and specific gaseous concentrations under
incomplete projections. The calculation results obtained
by MAART are compared with those obtained by ART
and SIRT, and those results demonstrate that the
MAART method has great stability and flexibility
[17]
.
Choi et al. adopt the MART algorithm for the tempera-
ture and concentration reconstruction in the Bunsen
burner
[2]
. Chen et al. compare the reconstruction error
at different iteration numbers with four tomography
methods and employ those methods to accurately mimic
the three-dimensional droplet movement based on multi-
ple image views, while some specific features of droplets
are reconstructed by the MART algorithm from the cap-
tured images
[18]
.Liet al. employ a self-adaptive algebraic
tomography algorithm (SAATA) to numerically recon-
struct two-dimensional gas distributions
[19]
.
Based on previous studies, numerical simulation is
necessarily calculated before the experimental test, the
algebraic algorithms, including ART, MART and AART,
are numerically compared with each other based on the
TDLAS tomography technique, and ratio thermometry
from two absorption transitions is employed to recon-
struct the image models. The interested region is divided
into 8 × 8 sub-grids. The number of unknown param eters
is 128, including 64 temperature variables and 64 H
2
O
concentration variables, and 32 laser beams pass through
the flame region crosswise from multiple image views. In
the experimental measurement, a parallel laser-detector
pair is used to scan the interested field from multi-views.
A distributed feedback (DFB) laser is used to scan two
H
2
O absorption transitions with the central wavelength
COL 14(11), 111201(2016) CHINESE OPTICS LETTERS November 10, 2016
1671-7694/2016/111201(5) 111201-1 © 2016 Chinese Optics Letters