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Extinction spectra of suspensions of microspheres: determination of the spectral refractive index and particle size distribution with nanometer accuracy

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Abstract

A method is presented to infer simultaneously the wavelength-dependent real refractive index (RI) of the material of microspheres and their size distribution from extinction measurements of particle suspensions. To derive the averaged spectral optical extinction cross section of the microspheres from such ensemble measurements, we determined the particle concentration by flow cytometry to an accuracy of typically 2% and adjusted the particle concentration to ensure that perturbations due to multiple scattering are negligible. For analysis of the extinction spectra, we employ Mie theory, a series-expansion representation of the refractive index and nonlinear numerical optimization. In contrast to other approaches, our method offers the advantage to simultaneously determine size, size distribution, and spectral refractive index of ensembles of microparticles including uncertainty estimation.

© 2018 Optical Society of America

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Supplementary Material (2)

NameDescription
Data File 1       Spectra of the ensemble-averaged extinction cross section and refractive index of 2 µm polystyrene spheres (dynospheres 50.010.SS-021 P, LOT Q262, Dyno Particles A.S., Norway)
Data File 2       Spectra of the ensemble-averaged extinction cross section and refractive index of 2 µm polystyrene spheres (Flow Check microparticles, Cat. No. 23526-10, Polysciences Europe GmbH, Germany)

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