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An optical correlation method is proposed for determining concentration and size distribution of light scattering particles by measuring the transverse coherence function of the particle image. The correlation function of a polydisperse ensemble of particles will then be given by an integral equation in the form of a convolution of the transverse correlation function of single particle image with a particle size distribution function. The transverse correlation function of a spherical particle with a radius obtained by an interference measurement, is in turn determined by the amount of overlap of the superimposed particle images. The integral equation can be solved using the regularization method with the minimalization of the functional. A device for measuring particle size distribution functions is proposed which has a response time of about 10 seconds, and can be applied to measure particle sizes ranging from 3 to 500 micrometers with a measurement error about 10%.
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Peter P. Maksimyak, Oleg V. Angelsky, "Optical correlation method for measuring particle size and concentration," Proc. SPIE 1991, Diffractometry and Scatterometry, (31 October 1994); https://doi.org/10.1117/12.192035