Particle-size distribution for the flame from a mixture containing magnesium powder

Boitova, L. N.; Kudryavitskii, F. A.; Petrov, G. D.; Robinskii, V. L.; Sokolov, R. N.

doi:10.1007/bf00744900

Cited by 5 publications

References 7 publications

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Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light

Koo

Hirleman

1992

Appl. Opt.

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Five integral transform solutions to the Fredholm integral equation that describes the forward-scattering properties of the distributions of spherical particles in the Fraunhofer diffraction regime have been studied. We have systematically reformulated the family of solutions, including four derivations by three other research groups and one developed as part of this work, using a standardized notation. This synthesis elucidates the mathematical interrelationships and fosters an understanding of the inversion performance of the five solutions. Finally a series of numerical experiments was carried out to demonstrate the relative performance of the techniques when applied to identical sets of simulated forward-scattering signatures.

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Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light

Koo

Hirleman

1992

Appl. Opt.

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Essential parameters in particle sizing by integral transform inversions

Liu

1997

Appl. Opt.

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We show that integral transform inversions for Fraunhofer-diffraction particle sizing possess an important feature that has useful implications. The selection of three angular parameters, Dtheta (angular resolution), theta(min) (minimum scattering angle), and theta(max) (maximum scattering angle), necessary for reconstructing a given kind of particle size distribution without undergoing mathematical limits that contradict the Fraunhofer theory and exceed practical measurement limitations, depends inverse-linearly on the optical size parameter chi, chi = 2pia/lambda (a, particle radius; lambda, wavelength). Two series of numerical experiments, in which the Chin-Shifrin inversion is used, are performed to assess the reconstruction of original discontinuous (narrow-type) and continuous (board-type) particle size distributions from simulated Fraunhofer-diffracted patterns, assuming linear- and log-scaled light detector configurations, respectively. New and useful findings regarding the roles of these three key angular parameters in the Chin-Shifrin inversion process, including general criteria relating the chi and the selections of Dtheta and theta(max) for effective size retrieval, were obtained.

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Optimized criteria for angular parameter selection for the Chin-Shifrin integral transform inversion

et al. 2018

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The accuracy of the particle size distribution (PSD) recovered from laser diffraction measurements by the Chin-Shifrin integral transform algorithm is reduced unless the proper angular parameters, including the lower and upper angular integration limits (θ and θ) and the angular resolution (Δθ), are used. To determine the selection criteria for these parameters, we use two metrics: the inversion error of the non-negative PSD, ε, and the fitting error of the scattered laser light, ε. By studying the variation of the minimum θ and ε with the particle size at different inversion errors, and by analyzing the inversion error, as θ and Δθ are varied, the optimized selection criteria for the minimum θ, θ and Δθ are obtained respectively. The inversion errors of the Chin-Shifrin algorithm with different selection criteria are compared, the different PSDs are recovered, and the optimal pixel selection range of the linear charge-coupled-device (CCD) array is determined according to the optimized selection criteria. Simulation results show that the optimized selection criteria for the angular parameters make the PSDs retrieved with the Chin-Shifrin algorithm more accurate.

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Particle-size distribution for the flame from a mixture containing magnesium powder

Cited by 5 publications

References 7 publications

Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light

Synthesis of integral transform solutions for the reconstruction of particle-size distributions from forward-scattered light

Essential parameters in particle sizing by integral transform inversions

Optimized criteria for angular parameter selection for the Chin-Shifrin integral transform inversion

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