Department of Information and Electronic Engineering, China University of Mining & Technology, Beijing, China

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Abstract—Measuring particle size distribution through calculating light scattering intensity is a typical inverse problem. This paper builds an inverse mathematical model based on Mie scattering, deduces the inversion formulas for particle size, and calculates the relative coefficients through programming with built-in functions in MATLAB. In order to improve the accuracy and noise immunity of particle size distribution measurement, the development of stochastic inversion algorithm: an inverse problem model based on Markov chain algorithm is proposed. Results of numerical simulation are added acceptable noise indicate that the algorithm of Markov chain has strong noise immunity and can meet the requirements of on-line measurement.

Index Terms—particle size distribution, Mie scattering theory, inversion algorithm, Markov chain, light scattering method

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Cite: Zi Ye, Xiaoping Jiang, and Zhenchong Wang, "Measurements of Particle Size Distribution Based on Mie Scattering Theory and Markov Chain Inversion Algorithm," Journal of Software vol. 7, no. 10, pp. 2309-2316, 2012.