Range of validity of the Fraunhofer approximation in the estimation of particle size distributions from light diffraction

Javier Vargas-Ubera; D. M. Gale; J. Felix-Aguilar

doi:10.1117/12.437165

14 August 2001 Range of validity of the Fraunhofer approximation in the estimation of particle size distributions from light diffraction

Javier Vargas-Ubera, D. M. Gale, J. Felix-Aguilar

Author Affiliations +

Proceedings Volume 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications; (2001) https://doi.org/10.1117/12.437165
Event: IV Iberoamerican Meeting of Optics and the VII Latin American Meeting of Optics, Lasers and Their Applications, 2001, Tandil, Argentina

Abstract

The inverse problem of retrieving the particle size distribution from the intensity of the diffracted field is solved using two numerical methods, the Chin-Shifrin algorithm and Singular Value Decomposition. The theory used in the inversion is based on the Fraunhofer approximation. We used the Lorenz-Mie theory to generate the intensity data produced from a series of normal size distributions. The distributions scan the interval of radius 0.1 micrometers < a < 17 micrometers . From our result we can set limits to the interval of particle size where the Fraunhofer approximation is valid.

Citation Download Citation

Javier Vargas-Ubera, D. M. Gale, and J. Felix-Aguilar "Range of validity of the Fraunhofer approximation in the estimation of particle size distributions from light diffraction", Proc. SPIE 4419, 4th Iberoamerican Meeting on Optics and 7th Latin American Meeting on Optics, Lasers, and Their Applications, (14 August 2001); https://doi.org/10.1117/12.437165

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