Method of Polychromatic Hilbert Diagnostics of Phase and Temperature Perturbations of Axisymmetric Flames

Арбузов, В. Л.; Arbuzov, E. V.; Zolotukhina, O. S.; Lukashov, V.S.

doi:10.20948/graphicon-2021-3027-369-378

Cited by 3 publications

(3 citation statements)

References 13 publications

(8 reference statements)

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“…The pixel size in the image corresponded to 1/30 mm when registering the optical signal in the experiments [3,4]. Therefore, the number of samples 𝑁 = 1801 in the interval [−𝑟 0 , 𝑟 0 ].…”

Section: Algorithm Application On the Test Function Examplementioning

confidence: 99%

“…The Hilbert diagnostics results of reacting jets were previously presented in [3,4]. The possibility of polychromatic Hilbert visualization of phase optical density fields with temperature profile measurement in selected sections of the medium under study is shown using the example of an axisymmetric hydrogen-air diffusion flame and a candle flame using the Abel transform.…”

Section: Introductionmentioning

confidence: 99%

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Gauss-Newton Method in the Problem of Optimizing the Axisymmetric Phase Function Calculation Based on the Hilbert Diagnostic Data

Arbuzov,

Dubnishchev

et al. 2023

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A method for reconstructing phase disturbances of a probing light field using the iterative Gauss-Newton algorithm is discussed as part of the Hilbert diagnostics development of gaseous, condensed and reacting media. In this case, the need to determine second derivatives is eliminated, which simplifies the calculations. The method consists of selecting a phase profile, which is specified by a Bezier curve, and hilbertogram calculating. The coincidence of the reference and reconstructed hilbertograms serves as a criterion for the results reliability. The Jacobian matrix for the nonlinear integral operator of Hilbert visualization is obtained. The algorithm is analyzed using a test function. The method development is associated with the algorithm application to the processing of experimental results, including the reconstruction of complex structures in which the phase function is described by several Bezier polynomials.

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Section: Algorithm Application On the Test Function Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Gauss-Newton Method in the Problem of Optimizing the Axisymmetric Phase Function Calculation Based on the Hilbert Diagnostic Data

Arbuzov,

Dubnishchev

et al. 2023

View full text Add to dashboard Cite

show abstract

“…The Hilbert diagnostics results of reacting jets and flames were presented earlier in [3,4]. The method based on polychromatic Hilbert visualization of phase optical density fields with temperature profile measurements in selected sections of the medium under study is described using the example of studying an axisymmetric hydrogen-air diffusion flame and a candle flame.…”

Section: Introductionmentioning

confidence: 99%

The Gauss-Newton Method in the Problems of Optimizing the Phase Function Calculation Based on the Hilbert Diagnostic Data

Arbuzov,

Dubnishchev

et al. 2023

Proceedings of the 33rd International Conference on Computer Graphics and Vision

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The problem of reconstructing the phase function in the Hilbert diagnostics of gaseous, condensed and reacting media is discussed in the paper. The method for restoring the phase disturbances structure of a probing light field based on the iterative Gauss-Newton algorithm is proposed. It does not require the definition of second derivatives and significantly reduces the number of computes. The method consists in successive selection of the phase profile given by the Bezier curve and calculation of the hilbertogram. The reliability of the results is the coincidence of the reference and reconstructed hilbertograms local extrema. The Jacobian matrix of the nonlinear integral operator of the Hilbert visualization is calculated. The proposed algorithm has been certified on test functions. The development of the method and its applications is associated with the processing of experimental results, including complex structures, where the phase function is represented by several Bezier polynomials.

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Hilbert-Optic Diagnostics of Hydrogen-Oxygen Inverse Diffusion Flame

et al. 2022

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The aim of this work is to adapt the methods of optical Hilbert diagnostics for the visualization and study of inverse diffusion H2/O2 flame. The diagnostic complex is implemented on the basis of the IAB-451 device with modified optical filtering. Visualization of phase perturbations induced by the studied medium in a probing multiwave light field is performed via polychromatic Hilbert and Foucault-Hilbert transformations in combination with registration and RGB-per-pixel processing of the dynamic structure of the images. From solution to the inverse problem of Hilbert optics using a physically justified initial approximation of the problem under consideration, the temperature field of the flame is reconstructed and the value of the H2, H2O, O2 and N2 concentrations may be restored.

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Method of Polychromatic Hilbert Diagnostics of Phase and Temperature Perturbations of Axisymmetric Flames

Cited by 3 publications

References 13 publications

Gauss-Newton Method in the Problem of Optimizing the Axisymmetric Phase Function Calculation Based on the Hilbert Diagnostic Data

Gauss-Newton Method in the Problem of Optimizing the Axisymmetric Phase Function Calculation Based on the Hilbert Diagnostic Data

The Gauss-Newton Method in the Problems of Optimizing the Phase Function Calculation Based on the Hilbert Diagnostic Data

Hilbert-Optic Diagnostics of Hydrogen-Oxygen Inverse Diffusion Flame

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