CN112611477A - Device for reconstructing combustion flame temperature field by laser absorption spectrum scanning light path - Google Patents
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Abstract
本发明涉及一种激光吸收光谱扫描光路重建燃烧火焰温度场的装置,包括函数发生器、激光控制器、分布反馈式激光器、光纤分束器、反射镜和激光发射接收装置、中空回射器和信号处理组件,反射镜、激光发射接收装置与光纤分束器调制后的光束数目分别对应;光纤分束器将分布反馈式激光器调制后的激光分成多束,每一束由对应的激光发射接收装置发射到对应的反射镜,反射镜由高速步进电机带动旋转,分布于空间中确保光路扫过整个待测区域,经中空回射器平行返回,被激光发射接收装置接收并转换为电信号,得到光强信号。本发明实现了信号收发一体,减少了测量部件,小型化集成,可实现快速重建温度场,能够获得更加全面的光路信息,提高了测量精度。
The invention relates to a device for reconstructing the temperature field of a combustion flame by a laser absorption spectrum scanning optical path. Signal processing components, mirrors, laser transmitting and receiving devices correspond to the number of beams modulated by the fiber beam splitter; the fiber beam splitter divides the laser modulated by the distributed feedback laser into multiple beams, and each beam is transmitted and received by the corresponding laser The device emits to the corresponding mirror, which is rotated by a high-speed stepping motor, distributed in the space to ensure that the optical path sweeps the entire area to be measured, returns in parallel through the hollow retroreflector, and is received by the laser transmitting and receiving device and converted into an electrical signal , to get the light intensity signal. The invention realizes the integration of signal transceiver, reduces measurement components, miniaturized integration, can realize rapid reconstruction of temperature field, obtain more comprehensive optical path information, and improve measurement accuracy.
Description
技术领域technical field
本发明涉及温度场测量装置技术领域,尤其是一种激光吸收光谱扫描光路重建燃烧火焰温度场的装置。The invention relates to the technical field of temperature field measurement devices, in particular to a device for reconstructing a temperature field of a combustion flame by scanning an optical path of a laser absorption spectrum.
背景技术Background technique
航空发动机是一种复杂而精密的热力机械,直接影响到飞机的性能、可靠性和经济性。燃烧室是发动机必不可少的重要部件,通过燃烧释放燃料中的化学能,将化学能转化为热能,产生高温、高压燃气,提高发动机的做功能力。设计燃烧室时,需要保证燃烧稳定性好,燃烧效率高,排放污染少。Aero-engine is a complex and sophisticated thermal machinery, which directly affects the performance, reliability and economy of the aircraft. The combustion chamber is an essential and important part of the engine. It releases the chemical energy in the fuel through combustion, converts the chemical energy into heat energy, generates high temperature and high pressure gas, and improves the engine's working ability. When designing the combustion chamber, it is necessary to ensure good combustion stability, high combustion efficiency and low emission pollution.
基于TDLAS技术的燃烧场温度、组分浓度测量,具有非侵入通过燃烧场内部、响应时间快、抗电磁干扰能力强。测量仪器设备系统易安装在比较小的空间里等优点,便于安装在燃烧现场中,用于监测燃烧状态。The combustion field temperature and component concentration measurement based on TDLAS technology has non-invasion through the combustion field, fast response time, and strong anti-electromagnetic interference ability. The measuring instrument and equipment system is easy to install in a relatively small space and other advantages, it is easy to install in the combustion site and used to monitor the combustion state.
现有的测量仪器系统采用的信号接收模块采用独立的发射与接收装置,其存在的缺点是同时搭建发射和接收两套装置,空间利用率低,并且增加的发射接收装置会影响光路的布置,无法全面获取整个温度场中的光路信息,导致测量精度低。The signal receiving module used in the existing measuring instrument system adopts an independent transmitting and receiving device, which has the disadvantage that two sets of transmitting and receiving devices are built at the same time, the space utilization rate is low, and the additional transmitting and receiving device will affect the arrangement of the optical path. The optical path information in the entire temperature field cannot be fully obtained, resulting in low measurement accuracy.
发明内容SUMMARY OF THE INVENTION
本发明提供了一种激光吸收光谱扫描光路重建燃烧火焰温度场的装置,解决了现有测量装置光路布置复杂,提取光路有效信息少的缺点。The invention provides a device for reconstructing the temperature field of combustion flame by laser absorption spectrum scanning optical path, which solves the shortcomings of complicated optical path arrangement and less effective information of the extracted optical path in the existing measuring device.
本发明采用的技术方案如下:The technical scheme adopted in the present invention is as follows:
一种激光吸收光谱扫描光路重建燃烧火焰温度场的装置,包括函数发生器、激光控制器、分布反馈式激光器、光纤分束器、中空回射器和信号处理组件,还包括反射镜和激光发射接收装置,所述反射镜、激光发射接收装置与光纤分束器调制后的光束数目分别对应;所述光纤分束器将所述分布反馈式激光器调制后的激光分成多束,每一束由对应的所述激光发射接收装置发射到对应的反射镜,所述反射镜由驱动机构驱动旋转,分布于空间中,确保光路扫过整个待测区域,经所述中空回射器平行返回,被所述激光发射接收装置接收并转换为电信号,得到光强信号。A device for reconstructing the temperature field of combustion flame by laser absorption spectrum scanning optical path, including a function generator, a laser controller, a distributed feedback laser, a fiber beam splitter, a hollow retroreflector and a signal processing component, as well as a mirror and a laser emission The receiving device, the mirror, the laser transmitting and receiving device correspond to the number of beams modulated by the optical fiber beam splitter; the optical fiber beam splitter divides the laser modulated by the distributed feedback laser into multiple beams, and each beam is composed of The corresponding laser emitting and receiving device is emitted to the corresponding mirror, and the mirror is driven and rotated by the driving mechanism and distributed in the space to ensure that the optical path sweeps the entire area to be measured, returns in parallel through the hollow retroreflector, and is returned by the hollow retroreflector. The laser emitting and receiving device receives and converts into an electrical signal to obtain a light intensity signal.
作为上述技术方案的进一步改进:As a further improvement of the above technical solution:
所述激光发射接收装置的结构包括沿光路依次设置的对激光光束进行准直的准直器、楔形棱镜和光电探测器;所述楔形棱镜为半透半反棱镜,其靠近所述准直器一端镜面镀所述分布反馈式激光器出光对应波段的半透半反膜,背对所述准直器一端镜面镀增透膜,确保经所述中空回射器反射回的激光能更好的进入所述光电探测器。The structure of the laser transmitting and receiving device includes a collimator, a wedge-shaped prism and a photodetector arranged in sequence along the optical path for collimating the laser beam; the wedge-shaped prism is a semi-transparent and semi-reflecting prism, which is close to the collimator One end is mirror-coated with a semi-transparent and semi-reflective film corresponding to the wavelength band of the distributed feedback laser light, and one end is mirror-coated with an anti-reflection film facing away from the collimator to ensure that the laser reflected back by the hollow retroreflector can enter better the photodetector.
所述楔形棱镜呈截面为梯形的楔形结构,其一面相对于对应的另一面倾斜设置。The wedge-shaped prism is a wedge-shaped structure with a trapezoidal cross-section, and one side thereof is inclined relative to the corresponding other side.
所述楔形棱镜是一块一面相对于对应的另一面倾斜1°的圆形棱镜,主要目的是消除信号的干涉效应。The wedge-shaped prism is a circular prism whose one side is inclined by 1° relative to the corresponding other side, and the main purpose is to eliminate the interference effect of the signal.
所述光电探测器的带宽为10MHz,通过固定架安装在激光发射接收装置尾部,经所述中空回射器平行返回的激光被所述光电探测器接收并转换为电信号,得到光强信号。The bandwidth of the photodetector is 10MHz, and it is installed at the tail of the laser transmitting and receiving device through a fixed frame. The laser light returned in parallel by the hollow retroreflector is received by the photodetector and converted into an electrical signal to obtain a light intensity signal.
所述驱动机构采用高速步进电机,每个反射镜与对应的所述高速步进电机相连,由高速步进电机驱动进行转动。The driving mechanism adopts a high-speed stepping motor, and each mirror is connected to the corresponding high-speed stepping motor, and is driven by the high-speed stepping motor to rotate.
所述激光控制器、所述分布反馈式激光器分别对应布置有两个,所述函数发生器分别通过两个通道将调制信号分别输入两个分布反馈式激光控制器,所述激光控制器对相应的分布反馈式激光器的输出波长、光强进行调制;所述光纤分束器将所述分布反馈式激光器调制后的激光分成四束。There are two laser controllers and two distributed feedback lasers, respectively, and the function generator respectively inputs modulation signals into the two distributed feedback laser controllers through two channels. The output wavelength and light intensity of the distributed feedback laser are modulated; the optical fiber beam splitter divides the laser modulated by the distributed feedback laser into four beams.
激光发射接收装置共设置有四个,分别布置在光路的四个角落,激光发射接收装置的布置位置确保不遮挡经过中空回射器的光路。There are four laser transmitting and receiving devices in total, which are respectively arranged at the four corners of the optical path. The arrangement position of the laser transmitting and receiving devices ensures that the optical path passing through the hollow retroreflector is not blocked.
所述信号处理组件包括信号采集系统和计算机,所述光强信号均由对应的所述激光发射接收装置传输至所述信号采集系统,由所述计算机进行处理。The signal processing component includes a signal acquisition system and a computer, and the light intensity signal is transmitted to the signal acquisition system by the corresponding laser transmitting and receiving device, and processed by the computer.
本发明的有益效果如下:The beneficial effects of the present invention are as follows:
本发明优化了测量装置结构紧凑,实现了信号收发一体,减少了测量部件,小型化集成,可实现快速重建温度场,能够获得更加全面的光路信息,提高了测量精度。The invention optimizes the compact structure of the measuring device, realizes the integration of signal transceiver, reduces the measuring components, miniaturizes the integration, realizes rapid reconstruction of the temperature field, obtains more comprehensive optical path information, and improves the measuring accuracy.
本发明的激光发射接收装置实现了同发同收功能,楔形棱镜一端面能很好避免其它波段的光进入探测器,使探测器饱和;另一端面确保经中空反射器反射回的激光能更好的进入探测器。本发明的激光发射接收装置,根据实际需要可布置在光路的四个角落,确保不遮挡经过中空回射镜的光路,反射镜通过电机控制旋转角度,从而能获取更多光路信息,同时使整个光路结构布置更紧凑。The laser transmitting and receiving device of the present invention realizes the function of simultaneous transmission and reception. One end face of the wedge-shaped prism can prevent light from other wavelength bands from entering the detector and saturate the detector; Good entry detector. The laser emitting and receiving device of the present invention can be arranged in the four corners of the optical path according to actual needs to ensure that the optical path passing through the hollow retroreflecting mirror is not blocked. The optical path structure arrangement is more compact.
本发明反射镜由高速步进电机驱动转动,能快速获取光路中信息,从而提高了重建温度场的时间分辨率。The reflecting mirror of the invention is driven and rotated by a high-speed stepping motor, and can quickly acquire the information in the optical path, thereby improving the time resolution of the reconstructed temperature field.
本发明装置各部件的参数可以成立一个统一的温度场检测标准,具有可重复性,可调节可操作性强。The parameters of each component of the device of the present invention can establish a unified temperature field detection standard, which is repeatable, and has strong adjustability and operability.
附图说明Description of drawings
图1为本发明的测量装置的结构示意图。FIG. 1 is a schematic structural diagram of the measuring device of the present invention.
图2为本发明的激光发射接收装置的结构示意图。FIG. 2 is a schematic structural diagram of a laser transmitting and receiving device of the present invention.
图中:1、函数发生器;2、激光控制器;3、分布反馈式激光器;4、光纤分束器;5、反射镜;6、高速步进电机;7、激光发射接收装置;701、准直器;702、楔形棱镜;703、光电探测器;704、固定架;8、中空回射器;9、信号采集系统;10、计算机。In the figure: 1. Function generator; 2. Laser controller; 3. Distributed feedback laser; 4. Optical fiber beam splitter; 5. Reflector; 6. High-speed stepping motor; 7. Laser transmitting and receiving device; 701, Collimator; 702, wedge prism; 703, photodetector; 704, fixed frame; 8, hollow retroreflector; 9, signal acquisition system; 10, computer.
具体实施方式Detailed ways
以下结合附图说明本发明的具体实施方式。The specific embodiments of the present invention will be described below with reference to the accompanying drawings.
如图1所示,本实施例的激光吸收光谱扫描光路重建燃烧火焰温度场的装置,包括函数发生器1、激光控制器2、分布反馈式激光器3、光纤分束器4、中空回射器8和信号处理组件,还包括反射镜5、高速步进电机6和激光发射接收装置7,反射镜5、高速步进电机6、激光发射接收装置7与光纤分束器4调制后的光束数目分别对应;光纤分束器4将分布反馈式激光器3调制后的激光分成多束,每一束由对应的激光发射接收装置7发射到对应的反射镜5,反射镜5由高速步进电机6带动旋转,分布于空间中,确保光路扫过整个待测区域,经中空回射器8平行返回,被激光发射接收装置7接收并转换为电信号,得到光强信号。As shown in FIG. 1, the device for reconstructing the temperature field of combustion flame by laser absorption spectrum scanning optical path in this embodiment includes a function generator 1, a
如图2所示,激光发射接收装置7的结构包括沿光路依次设置的对激光光束进行准直的准直器701、楔形棱镜702和光电探测器703;As shown in FIG. 2 , the structure of the laser transmitting and receiving device 7 includes a
具体地,激光发射接收装置7为实现同发同收功能的主要器件。准直器701对激光光束进行准直,确保激光光束在整个光路结构中不至于太发散而无法接收到光;激光发射接收装置7中心为一块半透半反镀膜楔形棱镜702,采用半透半反棱镜可以使50%的激光经反射面反射穿过待测区域,这束激光经中空回射器8平行反射回来后再次穿过半透半反棱镜打在光电探测器703的靶面上,半透半反棱镜靠近准直器701一端的镜面镀分布反馈式激光器3出光对应波段的半透半反膜,这样能很好避免其它波段的光进入光电探测器703,使光电探测器703饱和。半透半反棱镜背对准直器701一端镜面镀增透膜,确保经中空回射器8反射回的激光能更好的进入光电探测器703。Specifically, the laser transmitting and receiving device 7 is the main device for realizing the function of simultaneous transmission and reception. The
作为一种实施方式,楔形棱镜702是一块一面相对于另一面倾斜圆形棱镜,主要目的是消除信号的干涉效应。具体地,楔形棱镜702截面为直角梯形,斜边相对于直角边倾斜1°。激光发射接收装置7尾部的光电探测器703,采用自主设计带宽10MHz的光电探测器703。光电探测器703整体通过固定架704固定。经中空回射器8平行返回的激光被光电探测器703接收并转换为电信号,得到光强信号。As an embodiment, the
作为一种实施方式,每个反射镜5与高速步进电机6相连,由高速步进电机6驱动进行转动。反射镜5也可采用其他驱动、传动机构带动旋转。As an embodiment, each
高速步进电机6驱动反射镜5转动,能快速获取光路中信息,从而提高了重建温度场的时间分辨率。The high-
作为一种实施方式,激光控制器2、分布反馈式激光器3分别对应布置有两个,函数发生器1分别通过两个通道将调制信号分别输入两个分布反馈式激光控制器2,激光控制器2对相应的分布反馈式激光器3的输出波长、光强进行调制;As an embodiment, there are two
作为一种实施方式,光纤分束器4将分布反馈式激光器3调制后的激光分成四束。As an embodiment, the optical fiber beam splitter 4 divides the laser light modulated by the distributed
作为一种实施方式,激光发射接收装置7共设置有四个,分别布置在光路的四个角落,激光发射接收装置7的布置位置确保不遮挡经过中空回射器8的光路。使整个光路结构布置更紧凑。As an embodiment, there are four laser emitting and receiving devices 7 , which are respectively arranged at four corners of the optical path. The arrangement position of the laser emitting and receiving devices 7 ensures that the optical path passing through the
作为一种实施方式,信号处理组件包括信号采集系统9和计算机10,光强信号均由对应的激光发射接收装置7传输至信号采集系统9,由计算机10进行处理。As an embodiment, the signal processing component includes a
本实施例的激光吸收光谱扫描光路重建燃烧火焰温度场的测量方法,基于的测量装置包括如图1和图2所示:The measurement method for reconstructing the temperature field of combustion flame by laser absorption spectrum scanning optical path in this embodiment is based on the measurement device shown in Figure 1 and Figure 2:
函数发生器1、两个激光控制器2、两个分布反馈式激光器3、光纤分束器4、四个激光发射接收装置7、四个反射镜5以及对应的步进电机、中空回射器8、信号采集系统9、计算机10。Function generator 1, two
函数发生器1将调制信号输入激光控制器2中,激光控制器2对分布反馈式激光器3的输出波长、光强进行调谐;通过光纤分束器4分成四束,每一束由激光发射接收装置7发射到反射镜5,反射镜5与高速步进电机6相连,步进电机带动反射镜5转动,光路扫过待测区域,经中空回射器8平行返回,被激光发射接收装置7中的光电探测器703接收并转换为电信号,得到光强信号。背景信号和透射信号均由对应的光电探测器703传输至信号采集系统9,通过计算机10进行处理。The function generator 1 inputs the modulated signal into the
测量方法具体包括以下步骤:The measurement method specifically includes the following steps:
步骤一,函数发生器1将调制频率fm1信号通过通道一输入一号激光控制器2中,一号激光控制器2对一号分布反馈式激光器3的输出波长和光强进行调谐;Step 1, the function generator 1 inputs the modulation frequency f m1 signal into the No. 1
函数发生器将调制频率fm2信号通过通道二输入二号激光控制器2中,二号激光控制器2对二号分布反馈式激光器3的输出波长和光强进行调谐;The function generator inputs the modulation frequency f m2 signal into the No. 2
步骤二,将步骤一的两束调制光进行耦合,并经光纤分束器4分为四束,每一束由相应的激光发射接收装置7发射到反射镜5,反射镜5随着高速步进电机6转动,光路扫过待测区域,经中空回射器8平行返回,通过激光发射接收装置7中的光电探测器703接收并转换为电信号,得到光强信号;In
步骤三,通过光学标准具,分别获得一号、二号分布反馈式激光器3对应的标准具信号Iv(t),从而得到时间频率响应特性v(t);
步骤四,经过数字锁相、低通滤波过程处理测量的背景光强、透射光强,提取扣除背景归一化的二次谐波,依据Beer-Lambert定律,通过归一化二次谐波及步骤3所得时间频率响应特性v(t),利用最小二乘算法拟合出积分吸收面积A,根据双波长线强比值法测出温度,进一步计算出浓度值;Step 4: Process the measured background light intensity and transmitted light intensity through the process of digital phase locking and low-pass filtering, and extract the second harmonic after deducting the background normalization. According to the Beer-Lambert law, by normalizing the second harmonic and The time-frequency response characteristic v(t) obtained in
首先使用数字锁相技术处理背景光强I0(i)和实际测量的透射光强It(i),分别得到信号第i束激光n次谐波的x分量和y分量展开式,展开式如式(1)所示,其中,n取值为1或2:Firstly, the background light intensity I 0 (i) and the actually measured transmitted light intensity I t (i) are processed by digital phase-locking technology, and the x-component and y-component expansions of the nth harmonic of the i-th laser of the signal are obtained respectively. As shown in formula (1), where n is 1 or 2:
其次,经低通滤波器提取各信号的谐波分量,如式(2)所示:Secondly, the harmonic components of each signal are extracted by a low-pass filter, as shown in equation (2):
得到的第i束激光背景光强信号和透射光强信号的谐波分量,可以表示为式(3):The obtained harmonic components of the i-th laser background light intensity signal and transmitted light intensity signal can be expressed as formula (3):
最后,对得到的第i束激光谐波信号,进行扣除背景的一次谐波归一化处理得到式(4):Finally, the obtained i-th laser harmonic signal is subjected to the first harmonic normalization process after subtracting the background to obtain formula (4):
当测量路径上的介质气体分布均匀时,可由下式计算得到路径上的温度、浓度平均值:When the medium gas distribution on the measurement path is uniform, the average temperature and concentration on the path can be calculated by the following formula:
S(T)是气体的吸收线强,A为积分吸收面积,X是气体的体积分数,L是所测光程的具体长度,P为气体总压,单位为atm,φv是线型函数,且经过归一化后R为线强比值,是温度的单调函数。S(T) is the absorption line intensity of the gas, A is the integral absorption area, X is the volume fraction of the gas, L is the specific length of the measured optical path, P is the total gas pressure in atm, and φ v is a linear function , and after normalization R is the line intensity ratio, which is a monotonic function of temperature.
步骤五,二维瞬态温度场的求解。The fifth step is to solve the two-dimensional transient temperature field.
基于二维层析重建技术的测量原理,为了得到所测区域内二维空间内的参数信息,需要将重建区域进行离散化,首先将测量区域划分为100×100(即n=10000)的网格,假设每个离散网格内的温度等参数是均匀分布的。Based on the measurement principle of the two-dimensional tomographic reconstruction technology, in order to obtain the parameter information in the two-dimensional space in the measured area, the reconstruction area needs to be discretized. Grid, assuming that parameters such as temperature within each discrete grid are uniformly distributed.
第i条激光射线经过测量区域后,在每个离散网格内的有效光程长度为li,j,即为激光射线的路径矩阵,具体值可以通过几何关系(离散网格的宽度和激光射线与坐标轴的夹角α)确定。After the i-th laser ray passes through the measurement area, the effective optical path length in each discrete grid is l i,j , which is the path matrix of the laser ray. The specific value can be determined by the geometric relationship (the width of the discrete grid and the The angle α) between the ray and the coordinate axis is determined.
当路径上介质气体分布不均匀时,对式(5)进行变换,光线经过离散网格内介质气体的吸收,离开测量区域时强度减弱,离散得到的第i条光线中的两条谱线的吸收方程式:When the distribution of the medium gas on the path is not uniform, formula (5) is transformed, the light is absorbed by the medium gas in the discrete grid, and the intensity weakens when it leaves the measurement area. Absorption equation:
其中,Av1,i和Av2,i是第i条射线穿过测量区域后的路径吸收积分值,i为激光射线束的编号,j为离散网格编号,αv1,j和αv2,j代表每个离散网格内的气体吸收系数。Among them, A v1, i and A v2, i are the path absorption integral values of the i-th ray after passing through the measurement area, i is the number of the laser beam, j is the discrete grid number, α v1, j and α v2, j represents the gas absorption coefficient within each discrete grid.
公式(11)和公式(12)为两条H2O吸收谱线的具体离散方程组:Formula (11) and formula (12) are the specific discrete equations of the two H2O absorption lines:
其中,αv1,j=(PSTX)v1,j和和αv2,j=(PSTX)v2,j为离散网格内两条吸收谱线的吸收系数,m为测量区域内总的射线数,n为所划分的网格总数。Among them, α v1,j =(PS T X) v1,j and α v2,j =(PS T X) v2,j are the absorption coefficients of the two absorption lines in the discrete grid, m is the total The number of rays, n is the total number of grids divided.
ART算法在基于不完全投影值的重建过程中能得到比较理想的结果,因此被广泛应用于二维燃烧场的重建。对于ART算法来说,其求解过程是一条射线接一条射线进行的,当每一条射线被考虑之后,图像就被更新一次,即完成一次迭代,如果图像没有达到收敛的要求,那么上述过程将会被继续重复,直到满足收敛条件为止。The ART algorithm can obtain ideal results in the reconstruction process based on incomplete projection values, so it is widely used in the reconstruction of two-dimensional combustion fields. For the ART algorithm, the solution process is carried out one ray after another. After each ray is considered, the image is updated once, that is, one iteration is completed. If the image does not meet the convergence requirements, the above process will be It is repeated until the convergence condition is satisfied.
利用迭代算法求解二维温度与浓度分布时,首先需要对离散网格内的气体吸收系数αv1,j和αv2,j进行求解,利用ART算法计算吸收系数αj的具体表达形式如下:When using the iterative algorithm to solve the two-dimensional temperature and concentration distribution, it is first necessary to solve the gas absorption coefficients α v1,j and α v2,j in the discrete grid. The specific expression of the absorption coefficient α j calculated by the ART algorithm is as follows:
其中,是通过重建迭代程序计算得到单个波长下每个离散网格内的气体吸收系数,λ为松弛因子,其具体取值在0~2之间,常用于提高收敛速度和获取较高的重建质量,k代表总的迭代循环次数。由公式(6)可知,两条吸收谱线线强的比值可以通过迭代求解得到的每个离散网格内的吸收系数αv1,j和αv2,j的比值求得,进而利用公式(7)计算得到每个网格内的温度值Tj。in, is the gas absorption coefficient in each discrete grid under a single wavelength calculated by the reconstruction iterative program, λ is the relaxation factor, and its specific value is between 0 and 2, which is often used to improve the convergence speed and obtain higher reconstruction quality. k represents the total number of iteration loops. It can be seen from formula (6) that the ratio of the line intensities of the two absorption lines can be obtained by the ratio of the absorption coefficients α v1,j and α v2,j in each discrete grid obtained by iterative solution, and then using formula (7) ) is calculated to obtain the temperature value T j in each grid.
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