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Reconstruction of particle-size distributions from light-scattering patterns using three inversion methods.

Javier Vargas-Ubera¹, J Félix Aguilar, David Michel Gale

¹Instituto Nacional de Astrofísica Optica y Electrónica, Tonantzintla Puebla, Mexico. thesis_234@yahoo.es

|December 15, 2006

Summary

This study compares particle-size distribution retrieval methods, highlighting the strengths and weaknesses of Chin-Shifrin, Phillips-Twomey, and singular value decomposition for spherical particles. It defines the applicability of the Fraunhofer approximation versus Mie theory.

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Area of Science:

Optical Physics
Computational Physics

Background:

Accurate particle-size distribution is crucial in various scientific fields.
Numerical simulations are essential for evaluating retrieval algorithms.

Purpose of the Study:

To numerically compare Chin-Shifrin, Phillips-Twomey, and singular value decomposition methods for particle-size retrieval.
To assess the performance of these methods using synthesized data based on Mie theory.
To determine the applicability range of the Fraunhofer approximation against rigorous Mie theory.

Main Methods:

Numerical simulation of particle scattering using Mie theory.
Generation of synthetic intensity data for unimodal normal, gamma, and lognormal particle size distributions.
Retrieval of particle-size distributions using Chin-Shifrin, Phillips-Twomey, and SVD methods.

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Main Results:

Each retrieval method exhibits distinct advantages and disadvantages.
The performance of the methods varies with particle size distribution type and size parameter range (1-250).
The study quantifies the limitations of the Fraunhofer approximation compared to Mie theory.

Conclusions:

The choice of particle-size retrieval method depends on the specific application and data characteristics.
Mie theory provides a more rigorous basis for simulation than the Fraunhofer approximation for the tested size parameters.
This research provides guidance for selecting appropriate methods in particle characterization studies.