Modeling of Multiple Scattering Effects in Fraunhofer Diffraction Particle Size Analysis

A model for the direct problem of calculating the forward scattering signature of a multiple scattering medium is presented. The new formulation is optimized for integration into schemes for reconstructing the particle size distribution from laser diffraction (forward scattering) signatures obtained from optically thick media. The analysis is valid for media where the particle sizes and interparticle spacings are large (relative to the wavelength and the particle size, respectively) such that Fraunhofer diffraction theory adequately describes the properties of the forward scattered light from individual scattering events. The simulated performance of laser diffraction particle sizing instruments was then studied using predictions of the scattered light signatures which would be measured by laser diffraction instrument under multiple scattering conditions. The results were compared with experimental data and theoretical calculations based on other models.

[1]  G Gouesbet,et al.  Four-flux models to solve the scattering transfer equation: special cases. , 1986, Applied optics.

[2]  E. D. Hirleman.  Optimal Scaling of the Inverse Fraunhofer Diffraction Particle Sizing Problem: The linear system produced by quadrature , 1987 .

[3]  H Gomi.  Multiple scattering correction in the measurement of particle size and number density by the diffraction method. , 1986, Applied optics.

[4]  J. Swithenbank,et al.  Treatment of multiple scattering of light in laser diffraction measurement techniques in dense sprays and particle fields , 1986 .

[5]  J. Kennedy,et al.  Liquid Particle Size Measurement Techniques , 1984 .

[6]  Jim Swithenbank,et al.  A Laser Diagnostic Technique for the Measurement of Droplet and Particle Size Distributions , 1976 .

[7]  Milton Kerker,et al.  The Scattering of Light and Other Electromagnetic Radiation ~Academic , 1969 .

[8]  A. Hamidi,et al.  Measurement of drop size distribution in dense sprays by laser diffraction , 1986 .

[9]  Lee G. Dodge,et al.  Change of calibration of diffraction-based particle sizers in dense sprays , 1984 .

[10]  L. Poole,et al.  Semianalytic Monte Carlo radiative transfer model for oceanographic lidar systems. , 1981, Applied optics.

[11]  D. B. Tully.  Multiple Scattering Theory For Small Angle Light Scattering , 1980, Other Conferences.

[12]  Piero Bruscaglioni,et al.  Use of two scaling relations in the study of multiple-scattering effects on the transmittance of light beams through a turbid atmosphere , 1985 .

[13]  Hiromi Gomi,et al.  Measurement of the liquid phase mass in gas-liquid sprays by X-ray attenuation , 1984 .