The present disclosure relates to the field of fluid measurement technologies and in particular to high-accuracy measurement of a fluid three-dimensional temperature field.
The high-accuracy measurement of the three-dimensional temperature field of the narrow-channel high-temperature gas of the turbines is of great significance for structure optimization and performance improvement of the turbine blades of the aeroengines. But, its complex mechanical structure severely limits the application of the conventional contact flow field measurement technology. In the non-contact flow field temperature measurement technology, the laser-induced phosphorescence temperature measurement technology is a non-contact optical temperature measurement technology based on phosphorescent thermal quenching effect and has the advantages of fewer desired optical windows and flow field non-interference structure and the like and therefore it has good application potential in the complex three-dimensional flow field measurement with optical windows limited. At present, the mature laser-induced phosphorescence temperature measurement methods include an absolute intensity method, a life attenuation method and an intensity ratio method. The intensity ratio method performs temperature measurement based on a relationship of phosphorescent spectral intensity ratio and temperature and is less liable to influence of the factors such as non-uniform distribution of phosphorescent particles than the absolute intensity method and the life attenuation method and thus is applicable to temperature field measurement of dynamic flow fields. The position and the spectral intensity ratio of the phosphorescent tracer particles are used for inversion calculation of the flow field temperature field. Therefore, the multispectral imaging of the phosphorescent particle field and the solving calculation of the spectral intensity ratio are a core part of the flow field temperature measurement.
For the multispectral imaging of the phosphorescent particle field, the laser-induced phosphorescence flow field temperature measurement system mainly employs a conventional imaging mode and can only obtain the multispectral images of the phosphorescent particles within a focal plane. Thus only transient measurement of the flow field two-dimensional temperature field can be achieved but the flow field transient three-dimensional temperature field cannot be obtained. In the computational optical imaging technology, the spectral light field imaging technology can realize collection of the multispectral light field information of the three-dimensional objects through coupling spectrum and light field imaging principle, and also can realize reconstruction of the three-dimensional spectral intensity ratio of the target objects based on tomographic reconstruction algorithm. Therefore, it is expected to realize measurement of the flow field transient three-dimensional temperature field by combination of the spectral light field imaging technology and the temperature measurement technology of the laser-induced phosphorescence intensity ratio method.
Nowadays, the spectral light field camera system structures mainly include a spectral light field imaging system with a primary lens diaphragm aperture of light-field camera coupling a filter array and a spectral light field imaging system with light-field camera image sensor being RGB camera. The spectral light field imaging system of the coupling filter array has the following three problems: 1. since the diaphragm aperture is equally divided by the spectral filters of the filter array, the light field data volume of each spectrum is in inverse proportion to spectrum number; 2. limited by the process conditions of the filter array, multispectral data aliasing is present at the boundary of spectral sub-aperture images of the spectral light field camera, leading to invalidity of the spectral light field data at the sub-aperture image boundary; 3. the larger the distance that the imaging region deviates from the light axis, the larger the aberration of the imaging system; and the size of the spectral sub-aperture images may change depending on change of the position of the imaging region. The spectral light field imaging system coupling color RGB camera has the following problems: the color RGB camera couples a Bayer filter and can only be applied to collection of the multispectral light field data of a specific target, limiting the application scope.
Through search for prior arts, the Chinese invention patent numbered CN201910463400.9 and entitled light-field camera-based multispectral temperature measurement method and system of high-temperature component is found, in which the method uses a spectral light field imaging system with a primary lens diaphragm aperture of light-field camera coupling a filter array, which has the following four problems: 1. while the spectrum number is increased, the light field data volume of the single spectrum is reduced; 2. due to presence of multispectral data aliasing at the boundary of spectral sub-aperture images, part of the image data is invalid; 3. due to influence of the aberration, the size of the spectral sub-aperture images may change depending on change of the position of the imaging region; 4. since the multispectral light field information is imaged on a same image sensor, the spectral data processing method is complicated and the data processing flow is tedious.
For the solving calculation of the phosphorescent spectral intensity ratio, in order to achieve measurement on the laser-induced phosphorescence flow field two-dimensional temperature field, it is only required to obtain a ratio of the multispectral images of the phosphorescent particles pixel by pixel so as to obtain a two-dimensional planar phosphorescent spectral intensity ratio. In order to calculate the spectral intensity ratio of the three-dimensional phosphorescent particle field based on the spectral light field images, it is firstly required to reconstruct the distribution of each spectral intensity of the three-dimensional phosphorescent particle field based on tomographic reconstruction algorithm, and then by the method of obtaining the ratio voxel by voxel, the spectral intensity ratio of the three-dimensional phosphorescent particle field is calculated.
Through search for prior arts, the Chinese invention patent numbered CN201710562875.4 and entitled three-dimensional flow field test method based on double light field camera is found. In the invention, by obtaining an intersection of solutions, the stretching effect of the reconstruction result is weakened. But, one light field camera system is to be added in the invention, leading to more desired optical windows. Therefore, it is not applicable to the complex three-dimensional flow field measurement with optical windows limited.
The first problem to be solved by the present disclosure is to provide a multispectral light field imaging system with light field data volume of each spectrum unchangeable.
The second technical problem to be solved by the present disclosure is to provide a three-dimensional temperature field measurement method and system with small intensity reconstruction error and high reconstruction quality.
In order to solve the above technical problems, the present disclosure employs the following technical solution.
The present disclosure provides a multispectral light field imaging system, including a primary lens, a microlens array, a first relay lens, a dichroic lens, a second relay lens, a third relay lens, a first image sensor, a first filter, a second image sensor and a second filter, wherein the microlens array is located at an image plane of the primary lens; a distance between the first relay lens and an equivalent plane of the microlens array is f+F, wherein f refers to a focal length of the microlens array, and F is a focal length of the first relay lens; the first relay lens together with the second relay lens and the third relay lens forms a 1:1 relay lens group imaging system on a spectral band 1 light path and a spectral band 2 light path respectively; the dichroic lens forms an included angle of 45° with a light axis; the first image sensor is located at a focal plane of the second relay lens, and the second image sensor is located at a focal plane of the third relay lens.
The present disclosure provides a laser-induced phosphorescence flow field three-dimensional temperature field measurement method, including:
Based on the obtained light field images, obtaining the three-dimensional spectral intensity distribution corresponding to the light field images includes:
Based on the obtained light field images, the established correspondence equation set of position of target object, spectral intensity of target object, and light field image is as shown below:
wherein b(m,n)λ refers to a gray value of pixel (m,n) of λ spectral light field images, λ refers to a spectral wavelength, (m,n) refers to a pixel coordinate, x(i,j,k)λ refers to a λ spectral intensity value of the (i,j,k) voxel, (i,j,k) refers to a voxel coordinate; a(m,n),(i,j,k)λ refers to a ratio of a gray contribution value of the voxel (i j,k) for the pixel (m,n) to a λ spectral intensity value of the voxel (i,j,k), which is also called weight coefficient;
three-dimensional discrete voxels of a control body are rearranged into a voxel column vector in an order of “row, then column and then vertical”, and thus any original discrete voxel (i,j,k) is numbered (k−1)·I·J+(j−1)·I+i in the rearranged column vector; two-dimensional discrete pixels of the light field images are rearranged into a pixel column vector in an order of “row and then column” and thus any original pixel (m,n) is numbered (n−1)·M+m in the rearranged pixel column vector; r=(n−1)·M+m, c=(k−1)·I·J+(j−1)·I+i, R=M·N, C=I·J·K are obtained and thus a correspondence between voxel column vector of control body and pixel column vector of light field image is expressed as below:
suppose the weight coefficient matrix is Aλ, and the pixel column vector of the light field images is Bλ and the voxel column vector of the control body is Xλ, and thus the formula (2) is expressed as AλXλ=Bλ.
Based on characteristics of the tangent-circle imaging region of the light field camera, simplifying the correspondence equation set established in the above step by culling invalid pixels of the light field images and corresponding weight coefficients, a determination criterion for the invalid pixels is that:
the weight coefficient matrix is calculated by ray tracing method, and the calculation formula of the ray tracing method is as below:
wherein (x,y) refers to a coordinate of a light emitting source, (x′,y′) is a coordinate of a light incidence pixel, (θ,φ) is a solid angle of emitted light, and (θ′, φ′) is a solid angle of incident light; f is a focal length of the microlens unit, F is a focal length of the relay lens 1, S1 is an object distance, S2 is an image distance, and (Sx, Sy) is a displacement that a center of the microlens array deviates from the light axis of the imaging system;
tomographically reconstructing a three-dimensional spectral intensity of phosphorescent particles:
By using the maximum inter-class variance method, binarization is performed on the preliminary reconstruction result X1 and a voxel intensity value below a binarization threshold is set to zero to remove the overlapping effect of tracer particles.
The method of performing binarization on X2, using the maximum inter-class variance method is as below:
Suppose the intensity threshold is τ, Xλ1 voxel spectral intensities are divided into two classes A and B, where A is greater than τ, and B is less than τ; an Xλ1 voxel spectral intensity distribution is traversed; when the variance of the classes A and B is maximal, the intensity threshold r is a binarization threshold of the Xλ1.
The specific calculation method is below: firstly, a voxel spectral intensity data probability table of Xλ1 is calculated based on frequency statistics function, where an ascending order of the intensities is E1, E2, E3 . . . En, and probabilities of the intensities are p1, p2, p3 . . . pn, the intensity threshold is set to Ek(1≤k≤n), a probability of the class-A voxel spectral intensity is pA(k), and a mean value of the voxel spectral intensities is mA(k), a probability of the class-B voxel spectral intensity is pB(k), a mean value of the voxel spectral intensities is mB(k), and a mean value of the Xλ1 voxel spectral intensities is mG; in this case, the variance of the classes A and B is expressed below:
E1, E2, E3 . . . En are traversed one by one; when the value of the expression shown in the formula (5) is maximal, Ek is the binarization threshold of the Xλ1;
the voxel spectral intensities below Ek in the Xλ1 are set to zero to obtain Xλ2 without particle overlap;
based on a correspondence between voxel column vector number and voxel three-dimensional coordinate, the Xλ2 is reduced to a three-dimensional voxel matrix Xλ3, and a voxel of center of gravity of a three-dimensional connected body within Xλ3 is obtained by using Gaussian fitting.
the voxel of the center of gravity of any three-dimensional connected body Xλ3(i:i+Δi, J:j+Δj, k:k+Δk) in Xλ3 is calculated in the following method:
based on the center of gravity of the three-dimensional connected body, calculating the voxels of the centers of gravity of all three-dimensional connected bodies within the Xλ3, marking three-dimensional coordinates of the voxels of the centers of gravity, culling all voxels other than the voxels of the centers of gravity in the Xλ3 to obtain Xλ4, reducing the Xλ4 to a one-dimensional voxel column vector Xλ5, and at the same time, simplifying Aλ2 to Aλ3, and changing the light field tomographic reconstruction equation to Aλ3Xλ5=Bλ2; performing second-time SART tomographic reconstruction on Aλ3Xλ5=Bλ2 to obtain Xλ6
finally, based on a correspondence between three-dimensional coordinate of voxel of center of gravity and voxel column vector number, reducing the Xλ6 to a three-dimensional flow field control body Xλ7.
In the spectral light field imaging system provided by the present disclosure, a method of coupling a dichroic lens by a relay lens group in a cage type light field camera system is used, such that the light field data of the spectra of different bands are imaged on different image sensors to realize separation of the spectral data, avoiding the problems of loss of the single-spectrum light field data volume, aliasing of multispectral light field data, and change of the size of the spectral sub-aperture images along with the change of position of the imaging region due to aberration. When the wavelength of the collected spectra is changed, it is only required to change the dichroic lens and the corresponding filter, resulting in high system flexibility and convenient data processing.
Compared with the prior arts, the present disclosure has the following advantages.
(1) The spectral light field data volume does not decrease along with increase of spectrum number. In the existing spectral light field camera, a filter array is added to the diaphragm of the primary lens of the light field camera to realize collection of the multispectral light field data. Since the diaphragm aperture is equally divided by the spectral filters of the filter array, the light field data volume of each spectrum is in inverse proportion to spectrum number. In the present disclosure, a dichroic lens is added into the 1:1 relay lens group of the cage light field camera to achieve collection of the multispectral light field data, and the light field data volume of each spectrum is unchanged.
(2) There is no aliasing of spectral light field data. Limited by the process conditions of the filter array, the aliasing of the multispectral light field data is present at the boundary of the spectral sub-aperture images of the existing spectral light field camera, leading to invalidity of the spectral data at the sub-aperture image boundary. In the present disclosure, the light field data of different spectra are imaged on different image sensors, and thus there is no aliasing of the multispectral light field data.
(3) There is no problem of inconsistency of the sizes of the spectral sub-aperture images due to aberration. In the existing spectral light field camera, the multispectral light field data are imaged on a same image sensor. The larger the distance that the photographed region deviates from the light axis, the larger the aberration of the imaging system; and the sizes of the spectral sub-aperture images may be inconsistent. In the present disclosure, the light field data of different spectra are imaged on different image sensors and hence there is no problem of inconsistency of the sizes of the spectral sub-aperture images.
(4) The three-dimensional spectral intensity reconstruction flow is more convenient. In the existing spectral light field camera, the multispectral light field data are imaged on a same image sensor, and the light field data of each spectrum is obtained by extracting sub-aperture images. In the present disclosure, the light field data of different spectra are imaged on different image sensors, and the light field data on each image sensor is the light field data of the same spectrum. Therefore, there is no need to extract the sub-aperture images, bringing convenience to reconstruction calculation.
(5) The quality of the reconstruction result is higher. The position of the tracer particles and the spectral intensity ratio are used for inversion calculation of the flow field temperature field. Therefore, the accurate reconstruction of the three-dimensional spectral intensity ratio of the phosphorescent particle field is a core part of the flow field temperature field measurement. When the SART algorithm is used to tomographically reconstruct a light field imaging three-dimensional particle field, the reconstruction result is severely stretched along a depth direction of the control body, leading to large error of the intensity reconstruction result and severely affecting the accuracy of the flow field measurement result. In the present disclosure, based on the characteristics that the particle strength reconstruction result of the SART algorithm is approximately presented as Gaussian distribution along a stretch direction, in combination with the principle of calculating the center of gravity of the three-dimensional connected body using Gaussian fitting, there is provided a light field imaging three-dimensional particle field reconstruction method in combination with Gaussian fitting location technology and SART algorithm, By using SART algorithm, an initial three-dimensional particle field is reconstructed, and then by maximum inter-class variance method, the overlap effect of the tracer particles in the particle field is removed; next, based on Gaussian fitting principle, the voxels of the center of gravity of the connected body are located and stretched, and based on SART algorithm, the intensity value of the voxel of the center of gravity is reconstructed again, so as to reduce the intensity reconstruction error and increase the reconstruction quality.
(6) Measurement on the flow field transient three-dimensional temperature field is achieved. The existing laser-induced phosphorescence flow field temperature measurement system mainly uses a conventional imaging mode and can only obtain the multispectral images of the phosphorescent particles within the focal plane. Therefore, only transient measurement on the flow field two-dimensional temperature field can be achieved and the flow field transient three-dimensional temperature field cannot be obtained. The present disclosure provides a flow field transient three-dimensional temperature field measurement method combining the spectral light field imaging technology and the temperature measurement technology of the laser-induced phosphorescence intensity ratio method.
The present disclosure will be detailed below in combination with drawings.
As shown in
Based on the above technical solution, the present disclosure may be divided into three parts, which are (1) spectroscopic spectral light field imaging system structure; (2) the spectral light-field imaging three-dimensional spectral intensity reconstruction algorithm combining Gaussian fitting location technology and SART algorithm; (3) reconstruction of the flow field three-dimensional temperature field based on intensity ratio method.
The spectroscopic spectral light field imaging system structure as shown in
The position of the phosphorescent tracer particles and the spectral intensity ratio are used for inversion calculation of the flow field temperature field. Therefore, the solving calculation of the three-dimensional spectral intensity ratio of the phosphorescent particles is a core part of the flow field temperature measurement. In the present disclosure, firstly, a spectral light-field tomographic reconstruction model is constructed based on a correspondence of position of phosphorescent tracer particles, spectral intensity of phosphorescent tracer particles and light field image; based on ray tracing method, a weight coefficient matrix of the spectral light-field tomographic reconstruction model is calculated; then, in combination with the characteristics of the tangent-circle imaging region of the light field camera, the spectral light-field tomographic reconstruction model is simplified; finally, based on Gaussian fitting location technology, a stretching effect of the three-dimensional spectral intensity reconstruction result of the phosphorescent particles is weakened.
As shown in
wherein λ refers to a spectral wavelength, (m,n) refers to a pixel coordinate, (i, j,k) refers to a voxel coordinate, b(m,n)λ refers to a gray value of pixels (m,n) of λ spectral light field images, x(i,j,k)λ refers to a λ spectral intensity value of the (i, j,k) voxel, a(m,n),(i,j,k) refers to a ratio of a gray contribution value of the voxel (i, j,k) for the pixel (m,n) to a λ spectral intensity value of the voxel (i, j,k), which is also called weight coefficient.
In order to help calculation, three-dimensional discrete voxels of a control body are
rearranged into a voxel column vector in an order of “row, then column and then vertical”, and thus any original discrete voxel (i,j,k) is numbered (k−1)·I·J+(j−1)·I+i in the rearranged column vector; further, two-dimensional discrete pixels of the light field images are rearranged into a pixel column vector in an order of “row and then column” and thus any original pixel (m,n) is numbered (n−1)·M+m in the rearranged pixel column vector; r=(n−1)·M+m, c=(k−1)·I·J+(j−1)·I+i, R=M·N, C=I·J·K are obtained and thus a correspondence between voxel column vector of control body and pixel column vector of light field image is expressed as below:
Suppose the weight coefficient matrix is Aλ, and the pixel column vector of the light field images is Bλ and the voxel column vector of the control body is Xλ, and thus the formula (2) is expressed as AλXλ=Bλ. Based on the pixel gray level information Bλ of the light field images, the voxel position and spectral intensity information of the control body tracer particles are reconstructed. These inverse problems are usually solved iteratively by using the SART algorithm with higher stability and parallelism. Since the SART algorithm needs to call the weight coefficient matrix repeatedly during a computation process and the light field weight coefficient matrix occupies large memory, the reconstruction process takes much time. In order to reduce the occupied memory while avoid calculating the weight coefficient matrix repeatedly, the weight coefficient matrix and the equation set AλXλ=Bλ are simplified by culling the invalid pixels of the light field images and corresponding weight coefficients based on the characteristics of the tangent-circle imaging region of the light field camera (see
The weight coefficient matrix is calculated by the ray tracing method, where the calculation formula of the ray tracing method is as below:
where (x,y) refers to a coordinate of a light emitting source, (x,y) is a coordinate of a light incidence pixel, (θ, φ) is a solid angle of emitted light, and (θ′, φ′) is a solid angle of incident light; f is a focal length of the microlens unit, F is a focal length of the relay lens 1, S1 is an object distance, S2 is an image distance, and (Sx, Sy) is a displacement that a center of the microlens array deviates from the light axis of the imaging system.
For the presence of stretching problem in the reconstruction of the three-dimensional particle field of the spectral light-field imaging, by obtaining the center of gravity of the three-dimensional connected body by Gaussian fitting, the reconstruction result of the SART algorithm is optimized, and by culling the invalid voxels in Xλ and invalid weight coefficients corresponding to the invalid voxels in Aλ2, further simplification of the equation set Aλ2Xλ=Bλ2 is achieved, so as to eliminate the stretching problem and improve the reconstruction accuracy of the three-dimensional position and intensity of the tracer particles.
Because the Xλ is an unknown number, it is required to obtain a preliminary reconstruction result Xλ1 by tomographic reconstruction based on SART algorithm, where the iteration calculation formula is as below:
where t is a number of iterations, μ is a relaxation factor, p is a voxel number, b is a pixel gray value, o is a pixel number, ao,pλ is a ratio of the gray contribution value of the p voxel for the o pixel to the λ spectral intensity value of the voxel, Σs=1I J K ao,sλxsλ,(t) refers to a sum of a positive projections of the λ spectral intensity values of all non-zero voxels within a sight-line scope of the o pixel, Σs=1I| |J |K ao,sλan refers to a sum of weight coefficients of the non-zero voxels for the o pixel within the sight-line scope of the o pixel, boλ−Σs=1I□J□|K ao,sλxsλ,(t) refers to a difference between the gray value of the o pixel and the sum of the positive projections of the λ spectral intensity values of all non-zero voxels within the sight-line scope of the pixel.
Since the SART algorithm reconstruction result is severely stretched along the depth direction, the multiple-particle field reconstruction result may tend to have particle stretching and overlapping phenomena, namely, two or more tracer particles become a same three-dimensional connected body due to stretching effect. Before the center of gravity of the three-dimensional connected body is extracted by Gaussian fitting, the maximum inter-class variance method (also known as Nobuyuki Otsu, which is abbreviated as Otsu) is used herein to perform binarization on Xλ1, and set the voxel intensity values below the binarization threshold to zero, so as to eliminate the overlap effect of the tracer particles. The method of calculating the Xλ1 binarization threshold based on OTSU algorithm is as below: suppose the intensity threshold is τ, Xλ1 voxel spectral intensities are divided into two classes A (greater than τ) and B (less than τ); an Xλ1 voxel spectral intensity distribution is traversed; when the variance of the classes A and B is maximal, the intensity threshold τ is a binarization threshold of the Xλ1. The specific calculation method is as below: firstly, a voxel spectral intensity data probability table of Xλ1 is calculated based on frequency statistics function, where an ascending order of the intensities is E1, E2, E3 . . . En, and probabilities of the intensities are p1, p2, p3 . . . pn; the intensity threshold is set to Ek(1≤k≤n), a probability of the class-A voxel spectral intensity is pA(k), and a mean value of the voxel spectral intensities is mA(k), a probability of the class-B voxel spectral intensity is pB(k), a mean value of the voxel spectral intensities is mB(k), and a mean value of the Xλ1 voxel spectral intensities is mG; in this case, the variance of the classes A and B is expressed below:
E1, E2, E3 . . . En are traversed one by one; when the value of the expression shown in the formula (5) is maximal, Ek is the binarization threshold of the Xλ1.
The voxel spectral intensities below Ek in the Xλ1 are set to zero to obtain Xλ2 without particle overlap.
Based on a correspondence between voxel column vector number and voxel three-dimensional coordinate, the Xλ2 is reduced to a three-dimensional matrix Xλ3, and a voxel of center of gravity of a three-dimensional connected body within Xλ3 is obtained by using Gaussian fitting. The voxel of the center of gravity of any three-dimensional connected body Xλ3(i:i+Δi, j:j+Δj, k:k+Δk) in Xλ3 is calculated in the following method: slicing the three-dimensional connected body along a plane perpendicular to Z axis to obtain Xλ3(i:i+Δi, j:j+Δj, n):
wherein k≤n≤k+Δk; then by using two-dimensional Gaussian fitting function, identifying a center of mass of the Xλ3(i:i+Δi, j:j+Δj, n) with the expression below:
wherein i≤x≤i+Δi, j≤y≤j+Δj, Eλ0 is an amplitude of a Gaussian distribution of the voxel spectral intensities, (x0, y0,n) is a coordinate of the voxel of the center of mass of a two-dimensional slice, and σx and σy are half-peak widths of the spectral intensity Gaussian distribution of the two-dimensional slice voxels; obtaining the centers of mass of all slices by using the two-dimensional Gaussian fitting function for each slice of the three-dimensional connected body; performing one-dimensional Gaussian fitting on the spectral intensities of the voxels of all centers of mass to determine the center of gravity of the tree-dimensional connected body with the expression below:
wherein (x0, y0,z0) is a coordinate of the voxel of the center of gravity of the three-dimensional connected body Xλ3(i:i+Δi, j:j+Δj, k:k+Δk), and σz is a half-peak width of the spectral intensity Gaussian distribution of the voxels.
Based on the calculation method of the center of gravity of the three-dimensional connected body, the voxels of the centers of gravity of all three-dimensional connected bodies within the Xλ3 are calculated, three-dimensional coordinates of the voxels of the centers of gravity are marked, all voxels other than the voxels of the centers of gravity in the Xλ3 are culled to obtain Xλ4, the Xλ4 is reduced to a one-dimensional voxel column vector Xλ5, and at the same time, Aλ2 is simplified to Aλ3, and thus the light field tomographic reconstruction equation is changed to Aλ3Xλ5=Bλ2. Second-time SART tomographic reconstruction is performed on Aλ3Xλ5=Bλ2 to obtain Xλ6. Finally, based on a correspondence between three-dimensional coordinate of voxel of center of gravity and voxel column vector number, the Xλ6 is reduced to a three-dimensional flow field control body Xλ7.
In conclusion, the flow of the spectral light-field imaging three-dimensional spectral intensity reconstruction method combining Gaussian fitting location technology and SART algorithm is as shown in
Based on the intensity ratio method, the flow field three-dimensional temperature field is reconstructed.
Based on the three-dimensional spectral intensity reconstruction flow, the light field images of the λ1 and λ2 phosphorescent spectra are solved respectively and the three-dimensional spectral intensities Xλ17 and Xλ27 of the λ1 and λ2 phosphorescent spectra of the phosphorescent particle field is reconstructed. A ratio is obtained for each non-zero voxel for Xλ17 and Xλ27 so as to obtain a spectral intensity ratio of the three-dimensional phosphorescent particle field, with the expression as below:
wherein (i,j,k) is a voxel three-dimensional coordinate and R(i,j,k) is a phosphorescent spectral intensity ratio of the (i,j,k) voxel.
By temperature calibration test, a relationship of phosphorescent spectral intensity ratio and temperature is obtained as below:
wherein T(i,j,k) is a temperature of the (i,j,k) voxel.
Based on the formula (10), a flow field transient three-dimensional temperature field is solved by using the spectral intensity ratio result R(i,j,k) of the three-dimensional phosphorescent particle field.
Number | Date | Country | Kind |
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202310894771.9 | Jul 2023 | CN | national |
This application is the continuation application of International Application No. PCT/CN2023/128982, filed on Nov. 1, 2023, which is based upon and claims priority to Chinese Patent Application No. 202310894771.9, filed on Jul. 20, 2023, the entire contents of which are incorporated herein by reference.
Number | Date | Country | |
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Parent | PCT/CN2023/128982 | Nov 2023 | WO |
Child | 18897056 | US |